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SPIRES-BOOKS: FIND KEYWORD ALGEBRA DATA PROCESSING *END*INIT* use /tmp/qspiwww.webspi1/24781.8 QRY 131.225.70.96 . find keyword algebra data processing ( in books using www Cover
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Call number:9781783553365:ONLINE Show nearby items on shelf
Title:Python Data Analysis learn how to apply powerful data analysis techniques with popular open source Python modules
Author(s): Ivan Idris
Date:2014
Publisher:Birmingham, UK: Packt Publishing
Size:348 p
Note:online access: non linear lending
Contents:Getting started with Python libraries -- NumPy arrays -- Statistics and linear algebra -- pandas primer -- Retrieving, processing, and storing data -- Data visualization -- Signal processing and time series -- Working with databases -- Analyzing tex tual data and social media -- Predictive analytics and machine learning -- Environments outside the Python ecosystem and cloud computing -- Performance tuning, profiling, and concurrency -- Appendix A : key concepts -- Appendix B : useful functions -- Ap p endix C : online resources
ISBN:9781783553365
Series:eBooks
Series:EBL eBook
Keywords: Python (Computer program language)
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Call number:SPRINGER-2013-9781461474289:ONLINE Show nearby items on shelf
Title:Statistical Methods for Dynamic Treatment Regimes [electronic resource] : Reinforcement Learning, Causal Inference, and Personalized Medicine
Author(s): Bibhas Chakraborty
Erica E.M Moodie
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Statistical Methods for Dynamic Treatment Regimes shares state of the art of statistical methods developed to address questions of estimation and inference for dynamic treatment regimes, a branch of personalized medicine. Thisvolume demonstrates thes e methods with their conceptual underpinnings and illustration through analysis of real and simulated data. These methods are immediately applicable to the practice of personalized medicine, which is a medicalparadigm that emphasizes the systematic use of individual patient information to optimize patient health care. This is the first single source to provide an overview of methodology and results gathered from journals, proceedings, andtechnical reports with the goal of orienting researchers to the fiel d. The first chapter establishes context for the statistical reader in the landscape of personalized medicine. Readers need only have familiarity with elementarycalculus, linear algebra, and basic large-sample theory to use this text. Throughout the text, authors direct readers to available code or packages in different statistical languages to facilitate implementation. In cases where codedoes not already exist, the authors provide analytic approaches in sufficient detail that any researcher with knowled ge of statistical programming could implement the methods from scratch. This will be an important volume for a widerange of researchers, including statisticians, epidemiologists, medical researchers, and machine learning researchers interested in medical applications. Advanced graduate students in statistics and biostatistics will also findmaterial in Statistical Methods for Dynamic Treatment Regimes to be a critical part of their studies
Note:Springer eBooks
Contents:Introduction
The Data: Observational Studies and Sequentially Randomized Trials
Statistical Reinforcement Learning
Estimation of Optimal DTRs by Modeling Contrasts of Conditional Mean Outcomes
Estimation of Optimal DTRs by Directly Modeling Regimes
G
computation: Parametric Estimation of Optimal DTRs
Estimation DTRs for Alternative Outcome Types
Inference and Non
regularity
Additional Considerations and Final Thoughts
Glossary
Index
References
ISBN:9781461474289
Series:e-books
Series:SpringerLink (Online service)
Series:Statistics for Biology and Health, 1431-8776
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Medical records Data processing
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Call number:SPRINGER-2013-9781447148173:ONLINE Show nearby items on shelf
Title:Polyhedral and Algebraic Methods in Computational Geometry [electronic resource]
Author(s): Michael Joswig
Thorsten Theobald
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementaryalgebraic geometry. The f irst part of the book studies classical problems and techniquesthat refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction ofVoronoi diagrams and Delone triangulations. The second p art of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Grbner bases and solving systems of polynomialequations. The theory is illustrated by applications in computer graphics, curve reconstr uction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry,optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineeringstudents who are interested in the applications of computational geometry
Note:Springer eBooks
Contents:Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
Linear Programming
Computation of Convex Hulls
Voronoi Diagrams
Delone Triangulations
Algebraic and Geometric Foundations
Grbner Bases and Buchbergers Algorithm
Solving Systems of Polynomial Equations Using Grbner Bases
Reconstruction of Curves
Plcker Coordinates and Lines in Space
Applications of Non
Linear Computational Geometry
Algebraic Structures
Separation Theorems
Algorithms and Complexity
Software
Notation
ISBN:9781447148173
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Algorithms , Geometry , Discrete groups
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Call number:SPRINGER-2013-9781447148142:ONLINE Show nearby items on shelf
Title:Probabilistic Group Theory, Combinatorics, and Computing [electronic resource] : Lectures from the Fifth de Brn Workshop
Author(s): Alla Detinko
Dane Flannery
Eamonn O'Brien
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Probabilistic Group Theory, Combinatorics, and Computing is based on lecture courses held at the Fifth de Brn Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that haverecently emerged at the inte rface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main openproblems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up tothe very latest developments. One primary aim of the books approach and design is to enable postgraduate students to make immediate use of the material presented
Note:Springer eBooks
Contents:Martin W. Liebeck: Probabilistic and asymptotic aspects of finite simple groups
Alice C. Niemeyer, Cheryl E. Praeger, kos Seress: Estimation problems and randomised group algorithms
Leonard H. Soicher: Designs, groups and computing
ISBN:9781447148142
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2070
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Group theory
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Call number:SPRINGER-2013-9781447146315:ONLINE Show nearby items on shelf
Title:Symmetry and Pattern in Projective Geometry [electronic resource]
Author(s): Eric Lord
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods.The analytic approach is based on homogeneous coordinates. Briefintroductions to Plcker coord inates and Grassmann coordinates are also presented. This book looks carefully at linear, quadratic, cubic and quartic figures in two, three and higher dimensions. It deals at length with the extensionsand consequences of basic theorems such as those of P appus and Desargues. The emphasis throughout is on special configurations that have particularly interesting symmetry properties. The intricate and novel ideas of H S M Coxeter,who is considered one of the great geometers of the twentieth century, are al so discussed throughout the text. The book concludes with a useful analysis of finite geometries and a description of some of the remarkable configurationsdiscovered by Coxeter. This book will be appreciated by mathematics undergraduate students and thos e wishing to learn more about the subject of geometry. Subject and theorems that are often considered quite complicated are madeaccessible and presented in an easy-to-read and enjoyable manner.
Note:Springer eBooks
Contents:Foundations: the Synthetic Approach
The Analytic Approach
Linear Figures
Quadratic Figures
Cubic Figures
Quartic Figures
Finite Geometries
ISBN:9781447146315
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing
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Call number:SPRINGER-2012-9789400726369:ONLINE Show nearby items on shelf
Title:The Linear Algebra a Beginning Graduate Student Ought to Know [electronic resource]
Author(s): Jonathan S Golan
Date:2012
Edition:3rd ed. 2012
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and toengineering. It encompa sses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required tocomplete an undergraduate degree in mathematics ha s been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematicalproofs, they are also less able to understand the mathematics of the nume rical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This bookis intended to fill the gap which has developed by providing enough theoretical and computation al material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independentlyor in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in adv anced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portionof prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, tosome of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More i mportantly, it assumes a seriousness of purpose, considerable motivation,and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added
Note:Springer eBooks
ISBN:9789400726369
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Algebra , Matrix theory , Algorithms
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Call number:SPRINGER-2010-9783642112997:ONLINE Show nearby items on shelf
Title:Elements of Scientific Computing [electronic resource]
Author(s): Aslak Tveito
Hans Petter Langtangen
Bjrn Frederik Nielsen
Xing Cai
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics,astrophysics, chemistry, bi ology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas thatcarry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming
Note:Springer eBooks
Contents:Computing Integrals
Differential Equations: The First Steps
Systems of Ordinary Differential Equations
Nonlinear Algebraic Equations
The Method of Least Squares
About Scientific Software
The Diffusion Equation
Analysis of the Diffusion Equation
Parameter Estimation and Inverse Problems
A Glimpse ofParallel Computing
Index
ISBN:9783642112997
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Computational Science and Engineering, 1611-0994 : v7
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Biology Data processing , Computer science Mathematics , Computer science , Engineering
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Call number:SPRINGER-2010-9783642035623:ONLINE Show nearby items on shelf
Title:Advances in Combinatorial Mathematics [electronic resource] : Proceedings of the Waterloo Workshop in Computer Algebra 2008
Author(s): Ilias S Kotsireas
Eugene V Zima
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Second Waterloo Workshop on Computer Algebra (WWCA 2008) was held May 5-7, 2008 at Wilfrid Laurier University, Waterloo, Canada. This conference was dedicated to the 70th birthday of Georgy Egorychev (Krasnoyarsk, Russia),who is well known and hi ghly regarded as the author of the influential, milestone book Integral Representation and the Computation of Combinatorial Sums, which described a regular approach to combinatorial summation, today alsoknown as the method of coefficients. Another great s uccess of this Russian mathematician came in 1980, when he solved the van der Waerden conjecture on the determination of the minimum of the permanent of a doubly stochastic matrix andwas awarded the D. R. Fulkerson Prize. This book presents a collection o f selected formally refereed papers submitted after the workshop. The topics discussed in this book are closely related to Georgy Egorychevs influentialworks
Note:Springer eBooks
Contents:G.P.Egorychev : Method of Coefficients: an algebraic characterization and recent applications
G.E. Andrews: PartitionsWith Distinct Evens
M.Ciucu, C.Krattenthaler: A Factorization Theorem for Classical Group Characters, with Applications to Plane Partitions and Rhombus Tilings
L.Gurvits: On Multivariate Newton(like) Inequalities
M.Hazewinkel: Niceness Theorems
I
Chiau Huang: Method of Generating Differentials
P.Paule: Henricis Friendly Monster Identity Revisited
D.Zeilberger: The Automatic Central Limit Theorems Generator (and Much More!)
ISBN:9783642035623
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Combinatorics
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Call number:SPRINGER-2010-9783642012877:ONLINE Show nearby items on shelf
Title:Involution [electronic resource] : The Formal Theory of Differential Equations and its Applications in Computer Algebra
Author(s): Werner M Seiler
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic,homological and combinatorial i deas. It presents for the first time in book form the theory of Pommaret bases, a special kind of Grbner bases closely related to Koszul homology, and contains an extensive discussion of the existenceand uniqueness of solutions of formally well-posed init ial value problems and a novel presentation of Vessiot's dual version of the Cartan-Khler theory. Special emphasis is put on a constructive approach leading to effectivealgorithms
Note:Springer eBooks
Contents:1 Introduction
2 Formal Geometry of Differential Equations
3 Involution I: Algebraic Theory
4 Completion to Involution
5 Structure Analysis of Polynomial Modules
6 Involution II: Homological Theory
7 Involution III: Differential Theory
8 The Size of the Formal Solution Space
9 Existence and Uniqueness of Solutions
10 Linear Differential Equations
A Miscellaneous
B Algebra
C Differential Geometry
References
Glossary
Index
ISBN:9783642012877
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v24
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2010-9783211993149:ONLINE Show nearby items on shelf
Title:Approximate Commutative Algebra [electronic resource]
Author(s): Lorenzo Robbiano
John Abbott
Date:2010
Publisher:Vienna : Springer Vienna
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seenenormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data derivingfrom physical measurements of phenomena in t he real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra
Note:Springer eBooks
Contents:From Oil Fields to Hilbert Schemes
Numerical Decomposition of the Rank
Deficiency Set of a Matrix of Multivariate Polynomials
Towards Geometric Completion of Differential Systems by Points
Geometric Involutive Bases and Applications to Approximate Commutative Algebra
Regularization and Matrix Computation in Numerical Polynomial Algebra
Ideal Interpolation: Translations to and from Algebraic Geometry
An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint
ApCoA = Embedding Commutative Algebra into Analysis
Exact Certification in Global Polynomia
ISBN:9783211993149
Series:e-books
Series:SpringerLink (Online service)
Series:Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, 0943-853X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Geometry, algebraic , Algebra , Numerical analysis
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Call number:SPRINGER-2010-9781849962513:ONLINE Show nearby items on shelf
Title:Mathematica: A Problem-Centered Approach [electronic resource]
Author(s): Roozbeh Hazrat
Date:2010
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematica: A Problem-Centered Approach introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked- out problems. Each section startswith a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems - the first category highlights those essential parts of the text that demonstrate theuse of new commands in Mathematica whilst solvi ng each problem presented - the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations and - the third presents morechallenging problems for further study. The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations. While based on a computer algebra course taught to undergraduate students ofmathematics, science, engineering and finance, the book also includes chapters on calculus and sol ving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problemsolving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computationaltool. Mathematica: A Problem-Centered Approach comes with a free 30 day trial of the Wolfram Mathematica(R) software
Note:Springer eBooks
Contents:1. Introduction
1.1 Mathematica as a calculator
1.2 Numbers
1.3 Algebraic computations
1.4 Trigonometric computations
1.5 Variables
1.6 Equalities =, :=, ==
1.7 Dynamic variables
2. Defining functions
2.1 Formulas as functions
2.2 Anonymous functions
3. Lists
3.1 Functions producing lists
3.2 Listable functions
3.3 Selecting from a list
4. Changing heads!
5. A bit of logic and set theory
5.1 Being logical
5.2 Handling sets
5.3 Decision making, If and Which
6. Sums and products
6.1 Sum
6.2 Product
7. Loops and repetitions
7
ISBN:9781849962513
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Undergraduate Mathematics Series, 1615-2085 : v53
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Computer software
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Call number:SPRINGER-2010-9780817648800:ONLINE Show nearby items on shelf
Title:Mathematics for Multimedia [electronic resource]
Author(s): Mladen Victor Wickerhauser
Date:2010
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This concise textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create applicationsoftware for multimedia signa l processing and communication. Key features include: * Over 100 exercises with complete solutions * Useful algorithms presented in pseudocode and Standard C to help readers with programming,experimentation, and the solution of exercises * Numerous illust rations based on data from real studies * Suggestions for further reading at the end of each chapter * A companion websitemaintained by the authorprovidingcomputer programs described in the book as well as additional references and data files, such as ima ges and sounds, to enhance the readers understanding of key topics * A supplementary manualcontaining several hundred exercises,solutions, and sample programs not included in the bookavailable to instructors upon request * Minimal prerequisitesonly an und ergraduate-level knowledge of mathematics, not including statistics, is required. Mathematics forMultimedia is an ideal textbook for upper undergraduate and beginning graduate students in pure and applied mathematics, engineering, and computer science see king an innovative approach to contemporary mathematics with practicalapplications. The work may also serve as a useful reference for multimedia applications developers and other researchers and practitioners interested in the mathematics underlying multi media software design and implementation
Note:Springer eBooks
Contents:ANHA Series Preface
Preface
Numbers and Arithmetic
Space and Linearity
Time and Frequency
Sampling and Estimation
Scale and Resolution
Redundancy and Information
Answers
Basics, Technicalities, and Digressions
Index
ISBN:9780817648800
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Multimedia systems , Fourier analysis , Algorithms , Computer software
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Call number:SPRINGER-2010-9780387789774:ONLINE Show nearby items on shelf
Title:OptimizationTheory and Practice [electronic resource]
Author(s): Wilhelm Forst
Dieter Hoffmann
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Springer eBooks
ISBN:9780387789774
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Computer science Mathematics , Computer science , Mathematical optimization
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Call number:SPRINGER-2009-9783540878490:ONLINE Show nearby items on shelf
Title:Kalman Filtering [electronic resource] : with Real-Time Applications
Author(s): Charles K Chui
Guanrong Chen
Date:2009
Edition:4
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Kalman Filtering with Real-Time Applications presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including adirect method consisting o f a series of elementary steps, and an indirect method based on innovation projection. Other topics include Kalman filtering for systems with correlated noise or colored noise, limiting Kalman filtering fortime-invariant systems, extended Kalman filtering for nonlinear systems, interval Kalman filtering for uncertain systems, and wavelet Kalman filtering for multiresolution analysis of random signals. Most filtering algorithms areillustrated by using simplified radar tracking examples. The style of the bo ok is informal, and the mathematics is elementary but rigorous. The text is self-contained, suitable for self-study, and accessible to all readers with aminimum knowledge of linear algebra, probability theory, and system engineering
Note:Springer eBooks
Contents:Preliminaries
Kalman Filter: An Elementary Approach
Orthogonal Projection and Kalman Filter
Correlated System and Measurement Noise Processes
Colored Noise
Limiting Kalman Filter
Sequential and Square
Root Algorithms
Extended Kalman Filter and System Identification
Decoupling of Filtering Equations
Kalman Filtering for Interval Systems
Wavelet Kalman Filtering
Notes
ISBN:9783540878490
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Electronic data processing , Mathematical physics , Engineering mathematics , Telecommunication , Economics
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Call number:SPRINGER-2009-9781402096136:ONLINE Show nearby items on shelf
Title:Bilinear Control Systems [electronic resource] : Matrices in Action
Author(s): David Elliott
Date:2009
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. The study of bilinear control systems began in the 1960s and has since developed into afascinating field, vita l for the solution of many challenging practical control problems. Its methods and applications cross inter-disciplinary boundaries, proving useful in areas as diverse as spin control in quantum physics and thestudy of Lie semigroups. The first half of th e book is based upon matrix analysis, introducing Lie algebras and the Campbell-Baker-Hausdorff Theorem. Individual chapters are dedicated to topics such as discrete-time systems,observability and realization, examples from science and engineering, linear ization of nonlinear systems, and input-output analysis. Written by one of the leading researchers in the field in a clear and comprehensible manner and ladenwith proofs, exercises and Mathematica scripts, this involving text will be a vital and thorough introduction to the subject for first-year graduate students of control theory. It will also be of great value to academics andresearchers with an interest in matrix analysis, Lie algebra, and semigroups
Note:Springer eBooks
Contents:1. Introduction
2. Lie Algebras, Lie Groups
3. Systems in Drift
4. Discrete Time Bilinear Systems
5. Systems with Outputs
6. Examples
7. Linearization
8. Input Structures
A. Matrix Algebra
B. Lie Algebras and Groups
C. Algebraic Geometry
D. Transitive Lie Algebras
References
Index
ISBN:9781402096136
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v169
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Matrix theory , Topological Groups , Systems theory
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Call number:SPRINGER-2009-9780387981444:ONLINE Show nearby items on shelf
Title:Computational Statistics [electronic resource]
Author(s): James E Gentle
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Computational inference has taken its place alongside asymptotic inference and exact techniques in the standard collection of statistical methods. Computational inference is based on an approach to statistical methods that usesmodern computational po wer to simulate distributional properties of estimators and test statistics. This book describes computationally-intensive statistical methods in a unified presentation, emphasizing techniques, such as the PDFdecomposition, that arise in a wide range of m ethods. The book assumes an intermediate background in mathematics, computing, and applied and theoretical statistics. The first part of the book, consisting of a single long chapter,reviews this background material while introducing computationally-inten sive exploratory data analysis and computational inference. The six chapters in the second part of the book are on statistical computing. This part describesarithmetic in digital computers and how the nature of digital computations affects algorithms used in statistical methods. Building on the first chapters on numerical computations and algorithm design, the following chapters cover themain areas of statistical numerical analysis, that is, approximation of functions, numerical quadrature, numerical line ar algebra, solution of nonlinear equations, optimization, and random number generation. The third and fourth partsof the book cover methods of computational statistics, including Monte Carlo methods, randomization and cross validation, the bootstrap, pro bability density estimation, and statistical learning. The book includes a large number ofexercises with some solutions provided in an appendix. James E. Gentle is University Professor of Computational Statistics at George Mason University. He is a Fellow of the American Statistical Association (ASA) and of the AmericanAssociation for the Advancement of Science. He has held several national offices in the ASA and has served as associate editor of journa
Note:Springer eBooks
Contents:Preliminaries
Mathematical and Statistical Preliminaries
Statistical Computing
Computer Storage and Arithmetic
Algorithms and Programming
Approximation of Functions and Numerical Quadrature
Numerical Linear Algebra
Solution of Nonlinear Equations and Optimization
Generation of Random Numbers
Methods of Computational Statistics
Graphical Methods in Computational Statistics
Tools for Identification of Structure in Data
Estimation of Functions
Monte Carlo Methods for Statistical Inference
Data Randomization, Partitioning, and Augmentation
Bootstrap Met
ISBN:9780387981444
Series:e-books
Series:SpringerLink (Online service)
Series:Statistics and Computing, 1431-8784
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Electronic data processing , Data mining , Computer simulation , Numerical analysis , Mathematical statistics , Engineering mathematics
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Call number:SPRINGER-2009-9780387709840:ONLINE Show nearby items on shelf
Title:Mathematical Biology [electronic resource] : An Introduction with Maple and Matlab
Author(s): Ronald W Shonkwiler
James Herod
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. It updates an earlier successful edition and greatly expands the concept of the computerbiology laboratory, giving students a general perspective of the field before proceeding to more specialized topics. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field ofgenomics. It includes new chapters on parasites, ca ncer, and phylogenetics, along with an introduction to online resources for DNA, protein lookups, and popular pattern matching tools such as BLAST. In addition, the emerging field ofalgebraic statistics is introduced and its power illustrated in the conte xt of phylogenetics. A unique feature of the book is the integration of a computer algebra system into the flow of ideas in a supporting but unobtrusive role.Syntax for both the Maple and Matlab systems is provided in a tandem format. The use of a compute r algebra system gives the students the opportunity to examine what if scenarios, allowing them to investigate biological systems in away never before possible. For students without access to Maple or Matlab, each topic presented is complete. Graphic visu alizations are provided for all mathematical results. Mathematical Biology includes extensive exercises, problemsand examples. A year of calculus with linear algebra is required to understand the material presented. The biology presented proceeds from the study of populations down to the molecular level no previous coursework in biology isnecessary. The book is appropriate for undergraduate and graduate students studying mathematics or biology and for scientists and researchers who wish to study the appli cations of mathematics and computers in the natural sciences
Note:Springer eBooks
Contents:Biology, Mathematics and a Mathematical Biology Laboratory
Some Mathematical Tools
Reproduction of the Drive for Survival
Interactions Between Organisms and Their Environment
Age
Dependent Population Structures
Random Movements in Space and Time
The Biological Disposition of Drugs and Inorganic Toxins
Neurophysiology
The Biochemistry of Cells
The Biological Disposition of Drugs and Inorganic Toxins
A Biomathematical Approach to HIV and AIDS
Parasites and Their Diseases
Genetics
Genomics
Phylogenetics
ISBN:9780387709840
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Biology Data processing , Biology Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2009-9780387097077:ONLINE Show nearby items on shelf
Title:Parallel Scientific Computing and Optimization [electronic resource] : Advances and Applications
Author(s): Raimondas iegis
David Henty
Bo Kgstrm
Julius ilinskas
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Parallel Scientific Computing and Optimization introduces new developments in the construction, analysis, and implementation of parallel computing algorithms. This book presents 23 self-contained chapters, including surveys,written by distinguished r esearchers in the field of parallel computing. Each chapter is devoted to some aspects of the subject: parallel algorithms for matrix computations, parallel optimization, management of parallel programmingmodels and data, with the largest focus on paralle l scientific computing in industrial applications. Key features include: * construction and analysis of parallel algorithms for linear algebra and optimization problems * differentaspects of parallel architectures, including distributed memory computers w ith multicore processors * a wide range of industrial applications: parallel simulation of flows through oil filters as well as in porous and gas media, jetaerodynamics, heat conduction in electrical cables, nonlinear optics processes in tapered lasers, a nd molecular and cell dynamics. This volume is intended for scientists and graduate students specializing in computer science andapplied mathematics who are engaged in parallel scientific computing
Note:Springer eBooks
Contents:Preface
I. Parallel Algorithms for Matrix Computations
II. Parallel Optimization
III. Management of Data and Programs on Modern Supercomputers
IV. Parallel Scientific Computing in Industrial Applications
Index
ISBN:9780387097077
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v27
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Matrix theory , Numerical analysis , Operations research
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Call number:SPRINGER-2008-9783540737254:ONLINE Show nearby items on shelf
Title:Rational Algebraic Curves [electronic resource] : A Computer Algebra Approach
Author(s): J. Rafael Sendra
Franz Winkler
Sonia Prez-Daz
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The central problem considered in this book is the determination of rational parametrizability of an algebraic curve, and, in the positive case, the computation of a good rational parametrization. This amounts to determining thegenus of a curve, i.e. its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. Various optimalitycriteria for rational parametrizations of algeb raic curves are discussed. This book is mainly intended for graduate students and researchers in constructive algebraic curve geometry
Note:Springer eBooks
Contents:and Motivation
Plane Algebraic Curves
The Genus of a Curve
Rational Parametrization
Algebraically Optimal Parametrization
Rational Reparametrization
Real Curves
ISBN:9783540737254
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v22
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Algebra , Geometry, algebraic
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Call number:SPRINGER-2008-9783540735427:ONLINE Show nearby items on shelf
Title:A Singular Introduction to Commutative Algebra [electronic resource]
Author(s): Gert-Martin Greuel
Gerhard Pfister
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:From the reviews: It is certainly no exaggeration to say that Greuel and Pfister's A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in commutative algebra, in whichcomputational methods and r esults become central to how the subject is taught and learned. [] Among the great strengths and most distinctive features of Greuel and Pfister's book is a new, completely unified treatment of the globaland local theories. The realization that the two ca ses could be combined to this extent was decisive in the design of the Singular system, making it one of the most flexible and most efficient systems of its type. The authors presentthe first systematic development of this unified approach in a textbook h ere, and this aspect alone is almost worth the price of admission. Another distinctive feature of this book is the degree of integration of explicit computationalexamples into the flow of the text. Strictly mathematical components of the development (ofte n quite terse and written in a formal theorem-proof style) are interspersed with parallel discussions of features of Singular and numerousSingular examples giving input commands, some extended programs in the Singular language, and output. [] Yet another strength of Greuel and Pfister's book is its breadth of coverage of theoretical topics in the portions ofcommutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic. A synopsis of the table of contents will make th is clear. [] Greuel and Pfister have written a distinctive an highly useful bookthat should be in the library of every commutative algebrais and algebraic geometer, expert and novice alike. I hope that it achieves the educational impact it deserves. John B. Little, Monthly of The Mathematical Association ofAmerica, March 2004 ... The authors' most important new focus is the presentation of non-well orderings that allow them the computat
Note:Springer eBooks
Contents:Rings, Ideals and Standard Bases
Modules
Noether Normalization and Applications
Primary Decomposition and Related Topics
Hilbert Function and Dimension
Complete Local Rings
Homological Algebra
ISBN:9783540735427
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Geometry, algebraic , Computer science Mathematics , Algorithms
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Call number:SPRINGER-2008-9780387732510:ONLINE Show nearby items on shelf
Title:Studying Human Populations [electronic resource] : An Advanced Course in Statistics
Author(s): Nicholas T Longford
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Studying Human Populations is a textbook for graduate students and research workers in social statistics and related subject areas. It follows a novel curriculum developed around the basic statistical activities of sampling,measurement and inference. Statistics is defined broadly as making decisions in the presence of uncertainty that arises as a consequence of limited resources available for collecting information. A connecting link of the presentedmethods is the perspective of missing information, catering for a diverse class of problems that include nonresponse, imperfect measurement and causal inference. In principle, any problem too complex for our limited analytical toolkitcould be converted to a tractable problem if some additional information were available. Ingenuity is called for in declaring such (missing) information constructively, but the universe of problems that we can address is wide open, notlimited by a discrete set of procedures. The monograph aims to prepare the reader for the ca reer of an independent social statistician and to serve as a reference for methods, ideas for and ways of studying human populations:formulation of the inferential goals, design of studies, search for the sources of relevant information, analysis and pres entation of results. Elementary linear algebra and calculus are prerequisites, although the exposition is quiteforgiving, especially in the first few chapters. Familiarity with statistical software at the outset is an advantage, but it can be developed co ncurrently with studying the text. Nicholas T. Longford directs the statistical researchand consulting company SNTL in Reading, England. He had held senior research posts at the Educational Testing Service, Princeton, NJ, and De Montfort University, Leice ster, England. He was awarded the first Campion Fellowship by theRoyal Statistical Society (2000-2002). He is a member of the editorial boards of the British Journal of Mathematical and Statistical Psyc
Note:Springer eBooks
Contents:Anova and Ordinary Regression
Maximum Likelihood Estimation
Sampling Methods
The Bayesian Paradigm
Incomplete Data
Imperfect Measurement
Experiments and Observational Studies
Clinical Trials
Random Coefficients
Generalised Linear Models
Longitudinal and Time
Series Analysis
Meta
Analysis and Estimating Many Quantities
ISBN:9780387732510
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Epidemiology , Electronic data processing , Computer simulation , Biometrics , Mathematical statistics , Psychometrics
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Call number:SPRINGER-2008-9780387497655:ONLINE Show nearby items on shelf
Title:Matrix-Based Multigrid [electronic resource] : Theory and Applications
Author(s): Yair Shapira
Date:2008
Edition:2
Publisher:Boston, MA : Springer US
Size:1 online resource
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Note:Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to morerealistic applications with co mplicated grids and domains. Key Features of this Second Edition: - Discusses multigrid methods from the domain decomposition viewpoint, thus making the material accessible to beginningundergraduate/graduate students - Uses the semialgebraic multigrid app roach to handle complex topics (such as the solution of systems of PDEs) - Provides relevant and insightful exercises at the end of each chapter which help reinforcethe material - Uses numerous illustrations and examples to motivate the subject matter - C overs important applications in physics, engineering and computer science Matrix-Based Multigrid can serve as a textbook for courses in numericallinear algebra, numerical methods for PDEs, and computational physics at the advanced undergraduate and gradua te levels. Since most of the background material is covered, the only prerequisites are elementary linear algebra andcalculus. Excerpts from the reviews of the first edition: This book contains a wealth of information about using multilevel methods to sol ve partial differential equations (PDEs). . . A common matrix-based framework for developingthese methods is used throughout the book. This approach allows methods to be developed for problems under three very different conditions. . . This book will be i nsightful for practitioners in the field. . . students will enjoystudying this book to see how the many puzzle pieces of the multigrid landscape fit together. (Loyce Adams, SIAM review, Vol. 47(3), 2005) The discussion very often includes important applic ations in physics, engineering, andcomputer science. The style is clear, the details can be understood without any serious prerequisite. The usage of multigrid method for unstructured grids is exhibi
Note:Springer eBooks
Contents:List of Figures
List of Tables
Preface
Part I. Concepts and Preliminaries
1. The MultilevelMultiscale Approach
2. Preliminaries
Part II. Partial Differential Equations and Their Discretization
3. Finite Differences and Volumes
4. Finite Elements
Part III. Numerical Solution of Linear Systems
5. Iterative Linear System Solvers
6. The Multigrid Iteration
Part IV. Multigrid for Structured Grids
7. Automatic Multigrid
8. Applications in Image Processing
9. Black
Box Multigrid
10. The Indefinite Helmholtz Equation
11. Matrix
Based Semicoarsening
ISBN:9780387497655
Series:e-books
Series:SpringerLink (Online service)
Series:Numerical Methods and Algorithms, 1571-5698 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Electronic data processing , Matrix theory , Computer science Mathematics , Engineering
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Call number:SPRINGER-2007-9783540458999:ONLINE Show nearby items on shelf
Title:Algorithmic Topology and Classification of 3-Manifolds [electronic resource]
Author(s): Sergei Matveev
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:From the reviews of the 1st edition: This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds andincluding the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduatetextbook (without exercises) with the completeness and reli ability of a research monograph All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds.This choice contributes to keep the level of the exposition really elementary. In co nclusion, the reviewer subscribes to the quotation from the back cover: the book fills a gap in the existing literature and will become a standardreference for algorithmic 3-dimensional topology both for graduate students and researchers. R. Piergallini, Zentralblatt fr Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a betterorientation of the reader have been added
Note:Springer eBooks
Contents:Simple and Special Polyhedra
Complexity Theory of 3
Manifolds
Haken Theory of Normal Surfaces
Applications of the Theory of Normal Surfaces
Algorithmic Recognition of S3
Classification of Haken 3
Manifolds
3
Manifold Recognizer
The TuraevViro Invariants
ISBN:9783540458999
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algorithms , Global differential geometry , Topology
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Call number:SPRINGER-2007-9782287486203:ONLINE Show nearby items on shelf
Title:Cours doptique [electronic resource] : Simulations et exercices rsolus avec Maple, Matlab, Mathematica, Mathcad
Author(s): Karl D Mller
Claude Blorgoet
Date:2007
Publisher:Paris : Springer Paris
Size:1 online resource
Note:Springer e-book platform
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Note:Cet ouvrage s'adresse aux tudiants des niveaux L et M de l'universit ainsi qu'aux ingnieurs dsireux d'approfondir certains sujets. Il couvre tous les thmes d'un cours d'optique traditionnel, de l'optique gomtrique l'holographie, en passant par les in terfrences, la diffraction, la cohrence et l'utilisation de la transforme de Fourier pour la spectroscopie. L'expos est dvelopp partir de modles mathmatiques drivant desituations typiques et d'exemples fondamentaux qui sont prsents sous forme de programm es informatiques prts tre mis en uvre. Ces programmes sont aussi disponibles sur le CD accompagnant l'ouvrage, pour chacun desenvironnements de programmation scientifiques suivants: Matlab, Maple, Mathematica et Mathcad. Ainsi, le lecteur pourra modifier les paramtres des exemples proposs pour les adapter de nouvelles situations. (Une mise jour deces programmes pour Mathematica Version 6 est disponible sur le site internet de l'auteur (voir rubrique contenu lectronique droite)). L'originalit de cet ou vrage consiste en une prsentation succincte des quationsfondamentales de l'optique sous forme de rappels de cours, illustres par des exemples dvelopps et des programmes les mettant en uvre. Il est ainsi particulirement adapt l'auto-apprentissage. Il sera aussi trs utilepour mettre en uvre des travaux pratiques et des simulations sur ordinateur
Note:Springer eBooks
ISBN:9782287486203
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Algebra Data processing
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Call number:SPRINGER-2007-9781402054952:ONLINE Show nearby items on shelf
Title:The Linear Algebra a Beginning Graduate Student Ought to Know [electronic resource]
Author(s): Jonathan S Golan
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entailsan extensive corpus o f theoretical results as well as a large body of computational techniques. The book is intended to be used in one of several possible ways: (1) as a self-study guide (2) as a textbook for a course in advancedlinear algebra, either at the upper-class under graduate level or at the first-year graduate level or (3) as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifyingexams. The volume is self-contained to the extent that it does not assu me any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some basic ideas and techniques, suchas the solution of a small system of linear equations over the real numbers. More important ly, it does assume a seriousness of purpose and a modicum of mathematical sophistication. The book also contains over 1000 exercises, many ofwhich are very challenging
Note:Springer eBooks
Contents:Notation and terminology
Fields
Vector spaces over a field
Algebras over a field
Linear independence and dimension
Linear transformations
The endomorphism algebra of a vector space
Representation of linear transformations by matrices
The algebra of square matrices
Systems of linear equations
Determinants
Eigenvalues and eigenvectors
Krylov subspaces
The dual space
Inner product spaces
Orthogonality
Selfadjoint Endomorphisms
Unitary and Normal endomorphisms
Moore
Penrose pseudoinverses
Bilinear transformations and forms
ISBN:9781402054952
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Algebra , Matrix theory , Algorithms
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Call number:SPRINGER-2007-9780387708737:ONLINE Show nearby items on shelf
Title:Matrix Algebra [electronic resource] : Theory, Computations, and Applications in Statistics
Author(s): James E Gentle
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. The first part of this book presents the relevant aspects of the theory of matrix algebra for applications instatistics. This part begins w ith the fundamental concepts of vectors and vector spaces, next covers the basic algebraic properties of matrices, then describes the analytic properties of vectors and matrices in the multivariatecalculus, and finally discusses operations on matrices in solutions of linear systems and in eigenanalysis. This part is essentially self-contained. The second part of the book begins with a consideration of various types of matricesencountered in statistics, such as projection matrices and positive definite mat rices, and describes the special properties of those matrices. The second part also describes some of the many applications of matrix theory in statistics,including linear models, multivariate analysis, and stochastic processes. The brief coverage in this part illustrates the matrix theory developed in the first part of the book. The first two parts of the book can be used as the textfor a course in matrix algebra for statistics students, or as a supplementary text for various courses in linear models or multivariate statistics. The third part of this book covers numerical linear algebra. It begins with adiscussion of the basics of numerical computations, and then describes accurate and efficient algorithms for factoring matrices, solving linear systems o f equations, and extracting eigenvalues and eigenvectors. Although the book is nottied to any particular software system, it describes and gives examples of the use of modern computer software for numerical linear algebra. This part is essentially self-co ntained, although it assumes some ability to program inFortran or C and/or the ability to use R/S-Plus or Matlab. This part of the book can be used as the text for a course in statistical computing, or
Note:Springer eBooks
Contents:Linear Algebra
Basic Vector/Matrix Structure and Notation
Vectors and Vector Spaces
Basic Properties of Matrices
Vector/Matrix Derivatives and Integrals
Matrix Transformations and Factorizations
Solution of Linear Systems
Evaluation of Eigenvalues and Eigenvectors
Applications in Data Analysis
Special Matrices and Operations Useful in Modeling and Data Analysis
Selected Applications in Statistics
Numerical Methods and Software
Numerical Methods
Numerical Linear Algebra
Software for Numerical Linear Algebra
ISBN:9780387708737
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Electronic data processing , Computer science , Computer science Mathematics , Mathematical statistics , Engineering
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Call number:SPRINGER-2007-9780387493336:ONLINE Show nearby items on shelf
Title:Computer Algebra Recipes [electronic resource] : An Advanced Guide to Scientific Modeling
Author(s): Richard H Enns
George C McGuire
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive modelsthat provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays. This self-contained text benefits from a spiral structure that regularly revisits the general topics of graphics,symbolic computation, and numerical simulat ion with increasing intricacy at each turn. The text is built around a large number of computer algebra worksheets or recipes that have been designed using MAPLE to provide tools forproblem solving and to stimulate critical thinking. No prior knowledge of MAPLE is assumed. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe is associated with a scientificmodel or method and an interesting or amusing story designed to both entertain and enhance conce pt comprehension and retention. All recipes are included on the CD-ROM enclosed with the book. Aimed at third- and fourth-yearundergraduates in science and engineering, the text contains numerous examples in disciplines that will challenge students progre ssing in mathematics, physics, engineering, game theory, and physical chemistry. Computer Algebra Recipes:An Advanced Guide to Mathematical Modeling can serve as an effective computational science text, with a set of problems following each section of rec ipes to enable readers to apply and confirm their understanding. The book may also beused as a reference, for self-study, or as the basis of an online course
Note:Springer eBooks
Contents:Preface
Introduction
The Appetizers
Phase
Plane Portraits
The Entrees
Linear ODE Models
Nonlinear ODE Models
Linear PDE Models
Soliton Models
The Desserts
Diagnostic Tools for Nonlinear Dynamics
Simulating ODE and PDE Models
ISBN:9780387493336
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Computer simulation , Computer software , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2006-9783540376347:ONLINE Show nearby items on shelf
Title:Discovering Mathematics with Magma [electronic resource] : Reducing the Abstract to the Concrete
Author(s): Wieb Bosma
John Cannon
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This volume celebrates the first decade of the Computer Algebra system Magma. With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstractparts of mathematics. Th is book introduces the reader to the role Magma plays in advanced mathematical research through 14 case studies which, in most cases, describe computations underpinning new theoretical results. The authors ofthe chapters were chosen both for their experti se in the particular field and for their innovative use of Magma. Although by no means exhaustive, the topics range over much of Magma's coverage of algorithmic algebra: from number theoryand algebraic geometry, via representation theory and group theory to some branches of discrete mathematics and graph theory. A basic introduction to the Magma language is given in an appendix. The book is simultaneously an invitationto learn a new programming language in the context of contemporary research problems, an d an exposition of the types of problem that can be investigated using computational algebra
Note:Springer eBooks
Contents:Magma: the project. About this volume. How to read the Magma code?
W.Bosma: Some computational experiments in number theory
C.Fieker: Applications of the class field theory of global fields
N.Bruin: Some ternary Diophantine equations of signature (n,n,2)
W.Stein: Studying the Birch and Swinnerton
Dyer conjecture for modular abelian varieties using Magma
P.B.van Wamelen: Computing with the analytic Jacobian of a genus 2 curve
G.Brown: Graded rings and special K3 surfaces
D.E.Taylor: Constructing the split octonions
J.F.Carlson: Support varieties for modules
J.F.Carlson:
ISBN:9783540376347
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v19
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Algorithms , Computer software
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Call number:SPRINGER-2006-9783540330998:ONLINE Show nearby items on shelf
Title:Algorithms in Real Algebraic Geometry [electronic resource]
Author(s): Saugata Basu
Richard Pollack
Marie-Franoise Roy
Date:2006
Edition:Second Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belongin the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas andtechniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects,and researchers in computer science and engineering will find the require d mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. Thisrevised second edition contains several recent results, notably on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithmcomputing their first Betti number. An index of notation has also been added
Note:Springer eBooks
Contents:Introduction
1 Algebraically Closed Fields
2 Real Closed Fields
3 Semi
Algebraic Sets
4 Algebra
5 Decomposition of Semi
Algebraic Sets
6 Elements of Topology
7 Quantitative Semi
Algebraic Geometry
8 Complexity of Basic Algorithms
9 Cauchy Index and Applications
10 Real Roots
11 Cylindrical Decomposition Algorithm
12 Polynomial System Solving
13 Existential Theory of the Reals
14 Quantifier Elimination
15 Computing Roadmaps and Connected Components of Algebraic Sets
16 Computing Roadmaps and Connected Components of Semi
Algebraic Sets
Reference
ISBN:9783540330998
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v10
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Geometry, algebraic , Algorithms
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Call number:SPRINGER-2006-9783540289937:ONLINE Show nearby items on shelf
Title:Computing in Algebraic Geometry [electronic resource] : A Quick Start using SINGULAR
Author(s): Wolfram Decker
Christoph Lossen
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by theauthors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way,omitting proofs and detours, and they give r eferences for further reading on some of the more advanced topics. In examples and exercises, the main emphasis is on explicit computations using the computer algebra system SINGULAR. Thebook addresses both, students and researchers. It may serve as a bas is for self-study, guiding the reader from his first steps into computing to writing his own procedures and libraries
Note:Springer eBooks
ISBN:9783540289937
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v16
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Geometry, algebraic , Algebra , Computer science Mathematics , Algorithms , Computer software
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Call number:SPRINGER-2006-9780387312620:ONLINE Show nearby items on shelf
Title:Computer Algebra Recipes [electronic resource] : An Introductory Guide to the Mathematical Models of Science
Author(s): Richard H Enns
George C McGuire
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than withpencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models. Aimed at science and engineering undergraduates at the sophomore/junior level, this introductoryguide to the mathematical models of science is fill ed with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organizedinto the Appetizers dealing with graphical aspects, the Entrees concentrati ng on symbolic computation, and the Desserts illustrating numerical simulation. The heart of the text is a large number of computer algebra recipes based on theMaple 10 software system. These have been designed not only to provide tools for problem solvin g, but also to stimulate the readers imagination. Associated with each recipe is a scientific model or method and an interesting oramusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe. Th is text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students,deals with more advanced differential equation models
Note:Springer eBooks
Contents:The Appetizers
The Pictures of Science
Deriving Model Equations
The Entrees
Algebraic Models. Part I
Algebraic Models. Part II
Linear ODE Models
Difference Equation Models
The Desserts
Monte Carlo Methods
Fractal Patterns
ISBN:9780387312620
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Computer simulation , Computer software , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2006-9780387305288:ONLINE Show nearby items on shelf
Title:Global Optimization [electronic resource] : From Theory to Implementation
Author(s): Leo Liberti
Nelson Maculan
Date:2006
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Most books about global optimization describe the theory of the algorithms, whereas a given implementations quality never depends exclusively on the theoretical soundness of the algorithms that are implemented. The literaturerarely discusses the tuni ng of algorithmic parameters, implementation tricks, software architectures, and the embedding of local solvers within global solvers. And yet, there are many good software implementations out there fromwhich the entire community could learn something. Th e scope of this book is moving a few steps toward the systematization of the path that goes from the invention to the implementation and testing of a global optimization algorithm.Some of the contributors to the book are famous and some are less well-know n, but all are experts in the discipline of actually getting global optimization to work. Thus, the papers in this book address the following topics: descriptions of new implementations of general-purpose or problem-specific global optimization algorithms new algorithms in global optimization (some with numerical results and a discussion of the implementation) surveysdiscussing existing software packages. Audience Global Optimization: From Theory to Implementation is intended for graduate students and r esearchers in operations research and optimization
Note:Springer eBooks
Contents:From the contents Preface
Optimization under Composite Monotonic Constraints and Constrained Optimization over the Efficient Set (H. Tuy, N.T. Hoai
Phuong)
On a Local Search for Reverse Convex Problems (A. Strekalovsky)
Some Transformation Techniques in Global Optimization (T. Westerlund)
Solving Nonlinear Mixed Integer Stochastic Problems: A Global Perspective (M.E. Bruni)
Application of Quasi Monte Carlo Methods in Global Optimization (S. Kucherenko)
GLOB
A New VNS
Based Software for Global Optimization (M. Drazic, V. Kovacevic
Vujcic, M. Cangalovic, N. Mladenovic)
Dis
ISBN:9780387305288
Series:e-books
Series:SpringerLink (Online service)
Series:Nonconvex Optimization and Its Applications, 1571-568X : v84
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algorithms , Computer software , Mathematical optimization , Operations research
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Call number:SPRINGER-2006-9780387288154:ONLINE Show nearby items on shelf
Title:The Mathematica GuideBook for Symbolics [electronic resource]
Author(s): Michael Trott
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematica is today's most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematicalfunctions using state-of- the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility. TheMathematica GuideBook for Symbolics (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials arefundamental to many symbolic calculations and they are covered in considerable detai l. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, seriesexpansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addit ion, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics. Todemonstrate the symbolic mathematics power, a large variety of problems from mathematics and phyics are discussed
Note:Springer eBooks
Contents:Introduction and Orientation
I. Symbolic computations: Remarks
Manipulation of polynomials
Manipulations of rational functions of polynomials
Manipulations of trigonometric expressions
Systems of linear and nonlinear equations
Classical analysis
Differential equations
Integral transforms and generalized functions
Three applications
Overview
II Classical orthogonal polynomials: Remarks
General properties of orthogonal polynomials
Hermite polynomials
Jacobi polynomials
Gegenbauer polynomials
Laguerre polynomials
Legendre polynomials
Chebyshev
ISBN:9780387288154
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algorithms , Computer science , Computer software
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Call number:SPRINGER-2005-9783540286752:ONLINE Show nearby items on shelf
Title:Getting Started with MuPAD [electronic resource]
Author(s): Miroslaw Majewski
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The world of mathematics is probably one of the most fascinating creations of mankind. The world of mathematics with a Computer Algebra System, like MuPAD, is even more fascinating. With MuPAD, we can develop mathematicalconcepts, explore them and vi sualize them with just a few simple commands. This book is a gentle introduction to MuPAD - a modern Computer Algebra System. The author introduces MuPAD step by step and shows how we can use it in variousareas of mathematics. A large chapter of the book is devoted to the graphical visualization of mathematical concepts ,and MuPAD graphics are also used extensively throughout the rest of the book. Each chapter of the book should beconsidered as a single workshop for MuPAD beginners. The whole book is a pe rfect resource for conducting workshops on using Computer Algebra Systems to explore, experiment with, and visualize mathematical concepts
Note:Springer eBooks
Contents:Introduction to MuPAD
Mathematical graphics with MuPAD
Introduction to calculus of one variable
Multivariable calculus
Algebra with MuPAD
Data visualization and elementary statistics
A brief introduction to programming
ISBN:9783540286752
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Computer software , Statistics
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Call number:SPRINGER-2005-9783540282969:ONLINE Show nearby items on shelf
Title:Computational Commutative Algebra 2 [electronic resource]
Author(s): Martin Kreuzer
Lorenzo Robbiano
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover graphics. The first volume had 3 chapters, 20 sections, 44tutorials, and some amusin g quotes. Since bigger is better, this book contains 3 chapters filling almost twice as many pages, 23 sections (some as big as a whole chapter), and 55 tutorials (some as big as a whole section). The numberof jokes and quotes has increased exponentially due to the little-known fact that a good mathematical joke is better than a dozen mediocre papers. The main part of this book is a breathtaking passeggiata through the computationaldomains of graded rings and modules and their Hilbert functions. Besides G rbner bases, we encounter Hilbert bases, border bases, SAGBI bases, and even SuperG bases. The tutorials traverse areas ranging from algebraic geometry andcombinatorics to photogrammetry, magic squares, coding theory, statistics, and automatic theorem pro ving. Whereas in the first volume gardening and chess playing were not treated, in this volume they are. This is a book for learning,teaching, reading, and most of all, enjoying the topic at hand. The theories it describes can be applied to anything from children's toys to oil production. If you buy it, probably one spot on your desk will be lost forever!
Note:Springer eBooks
Contents:Foreword
Introduction
The Homogeneous Case
Hilbert Functions
Further Applications
A. The ABC of CoCoA 5
B. Suggestions for Further Reading
C. Hints for Selected Exercises
Bibliography
ISBN:9783540282969
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Geometry, algebraic , Algorithms
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Call number:SPRINGER-2005-9783540273578:ONLINE Show nearby items on shelf
Title:Solving Polynomial Equations [electronic resource] : Foundations, Algorithms, and Applications
Author(s): Manuel Bronstein
Arjeh M Cohen
Henri Cohen
David Eisenbud
Bernd Sturmfels
Alicia Dickenstein
Ioannis Z Emiris
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Springer eBooks
ISBN:9783540273578
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v14
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Algorithms
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Call number:SPRINGER-2005-9783540268420:ONLINE Show nearby items on shelf
Title:Symbolic Integration I [electronic resource] : Transcendental Functions
Author(s): Manuel Bronstein
Date:2005
Edition:Second Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This first volume in the series Algorithms and Computation in Mathematics is destined to become the standard reference work in the field. Manuel Bronstein is a leading expert on this topic and his book is the first to treatthe subject both comprehens ively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computeralgebra systems as well as users of symbolic inte gration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.This second edition offers a new chapter on parallel integration, as we ll as a few comments on obtaining continuous antiderivatives and additional exercises. From the Reviews The goal of this well-written book is to present the stateof the art in the domain of integration in finite terms. ... Both aspects of the work, mathem atics and implementation, are present in the book. Moreover, Bronstein has chosen a good level of detail, and in such a way that he onlydeals with the case of transcendental functions. ... J.M.Ollagnier, Mathematical Reviews 2002 ... It makes an excellent textbook for courses in computer algebra. It contains many exercises and the algorithms are presented inpseudocode, which is easy to implement in any computer algebra system. For those interested in symbolic integration it will become the standard refere nce. N.A.van Arkel, Medelingen van het wiskundig genootschap 1998 ... The writingis excellent, and the author provides a clear and coherent treatment of the problem of symbolic integration of transcendental functions. Each chapter includes several worked examples and a list of additional exercises. Every researcherand teacher in symbolic computation should have access to this book. F.Winkler, Computing Reviews 1997 My first thought on seeing
Note:Springer eBooks
Contents:Preface
Algebraic Preliminaries
Integration of Rational Functions
Differential Fields
The Order Function
Integration of Transcendental Functions
The Risch Differential Equations
Parametric Problems
The Coupled Differential System
Structure Theorems References
Index
Plus Chapter on Risch
Noman Algorithm
ISBN:9783540268420
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v1
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Global analysis (Mathematics) , Algorithms
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Call number:SPRINGER-2005-9780387271057:ONLINE Show nearby items on shelf
Title:Using Algebraic Geometry [electronic resource]
Author(s): David A Cox
John Little
Donal Oshea
Date:2005
Edition:Second Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraicgeometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grbnerbases and resultants. The book is written for nonsp ecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help tohave some previous exposure to Grbner bases. The book does not assume t he reader is familiar with more advanced concepts such as modules. For the new edition, the authors have added a unified discussion of how matrices can be used tospecify monomial orders a revised presentation of the Mora normal form algorithm two sections discussing the Grbner fan of an ideal and the Grbner Walk basis conversion algorithm and a new chapter on the theory of order domains,associated codes, and the Berlekamp-Massey-Sakata decoding algorithm. They have also updated the references, improved so me of the proofs, and corrected typographical errors. David Cox is Professor of Mathematics at Amherst College.John Little is Professor of Mathematics at College of the Holy Cross. Donal OShea is the Elizabeth T. Kennan Professor of Mathematics and Dean o f Faculty at Mt. Holyoke College. These authors also co-wrote the immensely successfulbook, Ideals, Varieties, and Algorithms
Note:Springer eBooks
Contents:Solving Polynomial Equations
Resultants
Computation in Local Rings
Modules
Free Resolutions
Polytopes, Resultants, and Equations
Polyhedral Regions and Polynomials
Algebraic Coding Theory
The Berlekamp
Massey
Sakata Decoding Algorithm
ISBN:9780387271057
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v185
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Geometry, algebraic , Algorithms
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Call number:SPRINGER-2004-9781475742848:ONLINE Show nearby items on shelf
Title:Statistical Analysis and Data Display An Intermediate Course with Examples in S-Plus, R, and SAS
Author(s): Richard M Heiberger
Date:2004
Size:1 online resource (730 p.)
Note:10.1007/978-1-4757-4284-8
Contents:1 Introduction and Motivation -- 2 Data and Statistics -- 3 Statistics Concepts -- 4 Graphs -- 5 Introductory Inference -- 6 One-Way Analysis of Variance -- 7 Multiple Comparisons -- 8 Linear Regression by Least Squares -- 9 Multiple
Regression—More Than One Predictor -- 10 Multiple Regression—Dummy Variables and Contrasts -- 11 Multiple Regression—Regression Diagnostics -- 12 Two-Way Analysis of Variance -- 13 Design of Experiments—Factorial Designs -- 14 Design
of Experiments—Complex Designs -- 15 Bivariate Statistics—Discrete Data -- 16 Nonparametrics -- 17 Logistic Regression -- 18 Time Series Analysis -- A Software -- A.1 Statistical Software -- A.2 Text Editing Software -- A.2.1 Emacs --
A.2.2 Microsoft Word -- A.3 Word Processing Software -- A.3.2 Microsoft Word -- A.4 Graphics Display Software -- A.5 Operating Systems -- A.6 Mathematical Fonts -- A.7 Directory Structure -- A.7.1 HOME Directory -- A.7.2 HH Book Online
Files -- B.1 Create Your Working Directory and Make the HH Library Available -- B.1.3 Windows and R -- B.1.6 Unix and R -- B.4 HH Library Functions -- B.5 Learning the S Language -- B.6 S Language Style -- C SAS -- C.1 Make the HH
Library Available -- C.1.1 Windows -- C.1.2 Unix -- C.2 Using SAS with HH -- C.2.1 Reading HH Datasets -- C.2.2 Any Other Data Files -- C.2.3 ASCII Data Files with TAB Characters -- C.2.4 Windows and Unix EOL (End-of-Line) Conventions
-- C.3 Macros -- C.4 Learning the SAS Language -- C.5 SAS Coding Conventions -- D Probability Distributions -- D.1.1 An Example Involving Calculations with the Binomial Distribution -- D.2 Noncentral Probability Distributions -- E
Editors -- E.1 Working Style -- E.2 Typography -- E.3 Emacs and ESS -- E.3.1 ESS -- E.3.2 Mouse and Keyboard -- E.3.3 Learning Emacs -- E.3.4 Requirements -- E.4 Microsoft Word -- E.4.1 Learning Word -- E.4.2 Requirements 6 -- E.5
Microsoft Excel -- E.5.1 Database Management -- E.5.2 Organizing Calculations -- E.5.3 Excel as a Statistical Calculator -- E.6 Exhortations, Some of Which Are Writing Style -- E.6.1 Writing Style -- E.6.2 Programming Style and Common
Errors -- E.6.3 Presentation of Results -- F Mathematics Preliminaries -- F.1 Algebra Review -- F.2 Elementary Differential Calculus -- F.3 An Application of Differential Calculus -- F.4 Topics in Matrix Algebra -- F.4.1 Elementary
Operations -- F.4.2 Linear Independence -- F.4.3 Rank -- F.4.4 Quadratic Forms -- F.4.5 Orthogonal Transformations -- F.4.6 Orthogonal Basis -- F.4.8 Matrix Factorization—Cholesky -- F.4.9 Orthogonal Polynomials -- F.4.10 Projection
Matrices -- F.4.11 Geometry ot Mlatrices -- F.4.12 Eigenvalues and Eigenvectors -- F.4.13 Singular Value Decomposition -- F.4.14 Generalized Inverse -- F.4.15 Solving Linear Equations -- F.5 Combinations and Permutations -- F.5.1
Factorial -- F.5.2 Permutations -- F.5.3 Combinations -- F.6 Exercises -- G Graphs Based on Cartesian Products -- G.1 Structured Sets of Graphs -- G.1.1 Cartesian Products -- G.1.2 Trellis Paradigm -- G.2 Scatterplot Matrices: splom
and xysplom -- G.3 Cartesian Products of Sets of Functions -- G.4 Graphs Requiring Multiple Calls to xysplom -- G.5 Asymmetric Roles for the Row and Column Sets -- G.6 Rotated Plots -- G.7 Squared Residual Plots -- G.8 Alternate
Presentations -- References -- List of Datasets
ISBN:9781475742848
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistical Theory and Methods
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Call number:SPRINGER-2003-9781447100294:ONLINE Show nearby items on shelf
Title:MATLAB® for Engineers Explained
Author(s): Fredrik Gustafsson
Date:2003
Size:1 online resource (218 p.)
Note:10.1007/978-1-4471-0029-4
Contents:1 Learning MATLAB -- 1 Introduction -- 2 Interactive computation and elementary functions -- 3 Manipulating matrices -- 4 Strings and workspace administration -- 5 Graphical illustrations -- 6 Matrix algebra and polynomials -- 7
Advanced graphics -- 8 MATLAB Scripts -- 9 MATLAB Functions -- 10 Functions of functions -- 2 Advanced Programming -- 11 Data Structures -- 12 Object Orientation -- 13 Graphical Object Orientation and User Interfaces -- 14 Optimizing
MATLAB Code -- 15 Calling C-routines from MATLAB -- 3 Applications of MATLAB -- 16 Calculus -- 17 Data interpolation -- 18 Linear Algebra -- 19 Optimization -- 20 Numerical Accuracy and Number Representation -- 21 Statistics -- 22
Control Theory and the LTI Object -- 23 Dynamical Simulation with SIMULlNK -- 24 Ordinary Differential Equations -- 25 Signal processing -- 26 Communication Systems -- 27 Documentation, presentation and animation -- A Answers to the
exercises -- B Command reference -- C Summary of mathematical functions -- D Toolbox Summaries -- E Graphics summary
ISBN:9781447100294
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer-aided engineering , Computer software , Applied mathematics , Engineering mathematics , Electrical engineering , Mathematics , Mathematical Software , Appl.Mathematics/Computational Methods of Engineering , Computer-Aided Engineering (CAD, CAE) and Design , Electrical Engineering , Signal, Image and Speech Processing
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Call number:SPRINGER-2002-9781461200895:ONLINE Show nearby items on shelf
Title:Applications of Geometric Algebra in Computer Science and Engineering
Author(s):
Date:2002
Size:1 online resource (478 p.)
Note:10.1007/978-1-4612-0089-5
Contents:1 Point Groups and Space Groups in Geometric Algebra -- 2 The Inner Products of Geometric Algebra -- 3 Unification of Grassmann’s Progressive and Regressive Products using the Principle of Duality -- 4 From Unoriented Subspaces to
Blade Operators -- 5 Automated Theorem Proving in the Homogeneous Model with Clifford Bracket Algebra -- 6 Rotations in n Dimensions as Spherical Vectors -- 7 Geometric and Algebraic Canonical Forms -- 8 Functions of Clifford Numbers
or Square Matrices -- 9 Compound Matrices and PfafRans: A Representation of Geometric Algebra -- 10 Analysis Using Abstract Vector Variables -- 11 A Multivector Data Structure for Differential Forms and Equations -- 12 Jet Bundles and
the Formal Theory of Partial Differential Equations -- 13 Imaginary Eigenvalues and Complex Eigenvectors Explained by Real Geometry -- 14 Symbolic Processing of Clifford Numbers in C++ -- 15 Clifford Numbers and their Inverses
Calculated using the Matrix Representation -- 16 A Toy Vector Field Based on Geometric Algebra -- 17 Quadratic Transformations in the Projective Plane -- 18 Annihilators of Principal Ideals in the Grassmann Algebra -- 19 Homogeneous
Rigid Body Mechanics with Elastic Coupling -- 20 Analysis of One and Two Particle Quantum Systems using Geometric Algebra -- 21 Interaction and Entanglement in the Multiparticle Spacetime Algebra -- 22 Laws of Reflection from Two or
More Plane Mirrors in Succession -- 23 Exact Kinetic Energy Operators for Polyatomic Molecules -- 24 Geometry of Quantum Computing by Hamiltonian Dynamics of Spin Ensembles -- 25 Is the Brain a ‘Clifford Algebra Quantum Computer’? --
26 A Hestenes Spacetime Algebra Approach to Light Polarization -- 27 Quaternions, Clifford Algebra and Symmetry Groups -- 28 A Generic Framework for Image Geometry -- 29 Color Edge Detection Using Rotors -- 30 Numerical Evaluation of
Versors with Clifford Algebra -- 31 The Role of Clifford Algebra in Structure-Preserving Transformations for Second-Order Systems -- 32 Applications of Algebra of Incidence in Visually Guided Robotics -- 33 Monocular Pose Estimation of
Kinematic Chains -- 34 Stabilization of 3D Pose Estimation -- 35 Inferring Dynamical Information from 3D Position Data using Geometric Algebra -- 36 Clifford Algebra Space Singularities of Inline Planar Platforms -- 37 Fast Quantum
Fourier—Heisenberg—Weyl Transforms -- 38 The Structure Multivector -- 39 The Application of Clifford Algebra to Calculations of Multicomponent Chemical Composition -- 40 An Algorithm to Solve the Inverse IFS-Problem -- 41 Fast Quantum
n-D Fourier and Radon Transforms
ISBN:9781461200895
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer-aided engineering , Applied mathematics , Engineering mathematics , Physics , Mathematics , Applications of Mathematics , Computer-Aided Engineering (CAD, CAE) and Design , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2000-9781461213567:ONLINE Show nearby items on shelf
Title:Interactive Operations Research with Maple Methods and Models
Author(s): Mahmut Parlar
Date:2000
Size:1 online resource (468 p.)
Note:10.1007/978-1-4612-1356-7
Contents:1 Introduction to Operations Research -- 1.1 A Brief History -- 1.2 The Method of OR -- 1.3 About This Book -- 2 A Quick Tour of Maple -- 2.1 Introduction -- 2.2 Symbolics -- 2.3 Numerics -- 2.4 Graphics -- 2.5 Other Useful Commands
and Packages -- 2.6 Summary -- 2.7 Exercises -- 3 Maple and Mathematical Foundations of Operations Research -- 3.1 Introduction -- 3.2 Algebra -- 3.3 Calculus -- 3.4 Linear Algebra -- 3.5 Differential Equations -- 3.6 Transform Methods
-- 3.7 Probability -- 3.8 Summary -- 3.9 Exercises -- 4 Linear Programming -- 4.1 Introduction -- 4.2 Graphical Solution -- 4.3 The Simplex Method -- 4.4 Special Cases and Difficulties -- 4.5 Other Examples -- 4.6 Sensitivity Analysis
and Duality -- 4.7 Integer Linear Programming -- 4.8 Summary -- 4.9 Exercises -- 5 Nonlinear Programming -- 5.1 Introduction -- 5.2 Convexity of Sets and Functions -- 5.3 Unconstrained Optimization -- 5.4 Inequality and Equality
Constrained Optimization -- 5.5 Lagrangian Duality -- 5.6 Summary -- 5.7 Exercises -- 6 Dynamic Programming -- 6.1 Introduction -- 6.2 Stagecoach Problem -- 6.3 Models with a Linear System and Quadratic Cost -- 6.4 Continuous-Time
Dynamic Programming -- 6.5 A Constrained Work Force Planning Model -- 6.6 A Gambling Model with Myopic Optimal Policy -- 6.7 Optimal Stopping Problems -- 6.8 Summary -- 6.9 Exercises -- 7 Stochastic Processes -- 7.1 Introduction -- 7.2
Exponential Distribution and Poisson Process -- 7.3 Renewal Theory -- 7.4 Discrete-Time Markov Chains -- 7.5 Continuous-Time Markov Chains -- 7.6 Summary -- 7.7 Exercises -- 8 Inventory Models -- 8.1 Introduction -- 8.2 Classification
of Inventory Models -- 8.3 Costs Associated with Inventory Models -- 8.4 Deterministic Inventory Models -- 8.5 Probabilistic Inventory Models -- 8.6 Summary -- 8.7 Exercises -- 9 Queueing Systems -- 9.1 Introduction -- 9.2 Markovian
Queueing Systems -- 9.3 Transient Solutions -- 9.4 Queueing Networks -- 9.5 Optimization of Queueing Systems -- 9.6 Summary -- 9.7 Exercises -- 10 Simulation -- 10.1 Introduction -- 10.2 Generating (Pseudo-) Random Numbers -- 10.3
Generating Random Variates from Other Distributions -- 10.4 Monte Carlo Simulation -- 10.5 Dynamic Simulation Models -- 10.6 Optimization by Random Search -- 10.7 Summary -- 10.8 Exercises -- References
ISBN:9781461213567
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computers , Application software , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Operations research , Management science , Probabilities , Mathematics , Operations Research, Management Science , Analysis , Theory of Computation , Computer Appl. in Administrative Data Processing , Partial Differential Equations , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1998-9781461241522:ONLINE Show nearby items on shelf
Title:Time-Frequency Representations
Author(s): Richard Tolimieri
Date:1998
Size:1 online resource (284 p.)
Note:10.1007/978-1-4612-4152-2
Contents:1 Review of algebra -- 1.1 Introduction -- 1.2 Definitions and examples of groups -- 1.3 Subgroups, cosets, and quotients -- 1.4 Ideals -- 1.5 Mappings -- 1.6 Finitely generated abelian groups -- References -- 2 Linear algebra and
abelian groups -- 2.1 Introduction -- 2.2 Vector space L(A) -- 3 Fourier transform over A -- 3.1 Introduction -- 3.2 Character groups -- 3.3 Character formulas -- 3.4 Duality theory -- 3.5 Character group basis -- 3.6 Fourier transform
-- 3.7 Shift and multiplication operators -- References -- Problems -- 4 Poisson summation formula -- 4.1 Introduction -- 4.2 Statement and proof -- 4.3 Fourier transform of periodic functions -- 4.4 Periodization-decimation operators
-- References -- Problems -- 5 Zak transform -- 5.1 Introduction -- 5.2 Fourier analysis on A x A* -- 5.3 Zak transform -- 5.4 Functional equation -- 5.5 Fourier and Zak transform -- 5.6 Isometry -- 5.7 Algorithm for computing Zak
transform -- References -- Problems -- 6 Weyl-Heisenberg systems -- 6.1 Introduction -- 6.2 Translates -- 6.3 W-H systems -- 6.4 Sampling rates -- 6.5 Divide-and-conquer -- References -- Problems -- 7 Zak transform and W-H systems --
7.1 Introduction -- 7.2 Basic results -- 7.3 Fundamental formulas -- 7.4 Zak space characterization of W-H systems -- 7.5 Zero set characterization -- Problems -- 8 Algorithms for W-H systems -- 8.1 Introduction -- 8.2 Critical
sampling algorithm -- 8.3 Integer over-sampling algorithm -- 8.4 General over-sampling algorithm -- References -- Problems -- 9 Orthogonal projection theorem -- 9.1 Introduction -- 9.2 Orthogonal projection algorithm -- 9.3 Iterative
W-H coefficient set algorithm -- 10 Cross-ambiguity function -- 10.1 Introduction -- 10.2 Basic results -- 10.3 Direct algorithm -- 10.4 Critical sampling algorithm -- 10.5 Integer over-sampling algorithm -- 10.6 General
divide-and-conquer algorithm -- References -- Problems -- 11 Ambiguity surfaces -- 11.1 Introduction -- 11.2 Fourier transform of ambiguity surfaces -- 11.3 Formulas D1 and D2 -- References -- 12 Orthonormal W-H systems -- 12.1
Introduction -- 12.2 Orthonormal W-H systems -- References -- Problems -- 13 Duality -- 13.1 Introduction -- 13.2 Biorthogonal -- 13.3 Algorithms for computing biorthogonals -- References -- Problems -- 14 Frames -- 14.1 Introduction
-- 14.2 Frame Operator -- 14.3 Frames -- 14.4 Frame biorthogonals -- 14.5 Operator interpretation -- 14.6 Tight frames -- References -- 15 Implementation -- 15.1 Introduction -- 15.2 Tensor product -- 15.3 Multidimensional arrays --
15.4 Computing the Zak transform -- References -- Problems -- 16 Algebra of multirate structures -- 16.1 Introduction -- 16.2 Algebra -- 16.3 Exact sequences -- 16.4 Main theorem -- 16.5 Representatives mapping theorem -- 16.6 Integer
matrices -- References -- Problems -- 17 Multirate structures -- 17.1 Introduction -- 17.2 Decimation operator -- 17.3 Polyphase representation -- 17.4 Integer rate bands -- 17.5 Reduction theorems -- 17.6 Decimators and expanders --
References -- 18 A Time-frequency search for stock market anomalies -- 18.1 Introduction -- 18.2 Time-frequency trees -- 18.3 Analysis of the log-differenced DJIA and S&P 500 data -- References
ISBN:9781461241522
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Signal, Image and Speech Processing , Computational Science and Engineering , Applications of Mathematics
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Call number:SPRINGER-1996-9789400708587:ONLINE Show nearby items on shelf
Title:Advanced Relational Programming
Author(s): Filippo Cacace
Date:1996
Size:1 online resource (394 p.)
Note:10.1007/978-94-007-0858-7
Contents:1. Introduction -- 1.1. Brief History of Database Technology -- 1.2. The Relational Approach -- 1.3. Data-Intensive Application Domains -- 1.4. Requirements of New Data-Intensive Applications -- 2. Overview Of Recent Evolution In
Database Technology -- 2.1. Semantic Data Models -- 2.2. Functional Data Models -- 2.3. Temporal Databases -- 2.4. Extended Relational Databases -- 2.5. Deductive Databases -- 2.6. Object-Oriented Databases -- 2.7. Active Databases --
3. Theory Of The Nested Relational Model -- 3.1. The Relational Data Model -- 3.2. Relational Algebra -- 3.3. Relational Calculus -- 3.4. Nested Relational Data Model -- 3.5. Extended Relational Algebra -- 3.6. Equivalence of Extended
Relational Algebra Expressions -- 3.7. Extended Relational Calculus -- 3.8. Expressive Power: Comparing Algebra and Calculus -- 3.9. Taxonomy of Nested Relations -- 3.10. Further Extensions to the Nested Relational Model -- 4. Algres,
An Extended Relational Database Programming Language -- 4.1. A Tour of Aigres -- 4.2. Rationale of Aigres Design -- 5. Programming In Algres -- 5.1. Constants, Identifiers, and Objects -- 5.2. Groups and Persistency -- 5.3. Operations
-- 5.4. The Quantification Mechanism -- 5.5. Input-Output -- 5.6. Control structures and blocks -- 5.7. Subprograms -- 5.8. Links -- 5.9. Built in functions -- 5.10. Program Structure -- 6. Alice, The Application Program Interface Of
Algres -- 6.1. A Tour of Alice -- 6.2. Guidelines for Writing Alice Programs -- 6.3. Programming in Alice -- 7. Algraph, The Graphical Interface Of Algres -- 7.1. Graphical Display -- 7.2. Graphical Read -- 7.3. Motif Interface for
Input-Output -- 7.4. Schema Editor -- Appendix A: Syntax Of Algres -- Appendix B: Syntax Of Alice Operators -- Appendix C: Algres And Alice Keywords -- Appendix D: Installing And Using The Algres System -- Getting a Free Copy of the
Aigres System -- Installing Aigres -- Using Aigres Commands -- Compiling and Executing Aigres Programs -- Compiling and Executing Alice Applications -- Editing Aigres Objects
ISBN:9789400708587
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 371
Keywords: Computer science , Software engineering , Programming languages (Electronic computers) , Data structures (Computer science) , Computer science , Text processing (Computer science) , Computer Science , Document Preparation and Text Processing , Programming Languages, Compilers, Interpreters , Data Structures, Cryptology and Information Theory , Software Engineering/Programming and Operating Systems , Symbolic and Algebraic Manipulation
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Call number:SPRINGER-1994-9780585280035:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science
Author(s): Philip Feinsilver
Date:1994
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource (150 p.)
Note:10.1007/978-0-585-28003-5
Contents:Basic Data Structures -- Data Structures & Orthogonal Polynomials -- Applications of Bessel Functions and Lommel Polynomials -- Fourier Transform on Finite Groups and Related Transforms -- Young Tableaux and Combinatorial Enumeration
in Parallel Processing
ISBN:9780585280035
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 292
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1993-9783034891226:ONLINE Show nearby items on shelf
Title:MuPAD Multi Processing Algebra Data Tool Benutzerhandbuch MuPAD Version 1.1
Author(s): Benno Fuchssteiner
Date:1993
Size:1 online resource (414 p.)
Note:10.1007/978-3-0348-9122-6
Contents:1 Einführung -- 2 Tutorial -- 2.1 MuPAD: Eine Beispielsitzung -- 3 Sprachelemente und ihre Funktionalität -- 3.1 Einführung -- 3.2 Evaluierung -- 3.3 Datentypen -- 3.4 Operatoren -- 3.5 Anweisungen -- 3.6 Prozeduren -- 3.7
Parallelität -- 3.8 Direkte Verwendung interner Systemfunktionen -- 3.9 Manipulation von Objekten beliebiger Datentypen -- 3.10 Der History-Mechanismus -- 4 Debugging in MuPAD -- 4.1 Interaktion zwischen Debugger und Benutzer -- 4.2
mdx: Das X-Frontend des MuPAD-Debuggers -- 5 Grafik -- 5.1 Das Benutzermodell der MuPAD-Grafik -- 5.2 VCam — Benutzeroberfläche der MuPAD-Grafik -- 6 Benutzerschnittstellen -- 6.1 XMuPAD -- 6.2 HyTEX -- 6.3 MacMuPAD — MuPAD auf dem
Macintosh -- 7 Überblick über die MuPAD Funktionen -- 7.1 Einleitung -- 7.2 Help-Dateien -- A Tabellen -- B PARI -- C Die MuPAD-Syntax in BNF -- D Plot-Befehle der Farbgrafiken
ISBN:9783034891226
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Algebra , Mathematics , Algebra , Computer Science, general
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Call number:SPRINGER-1988-9783642469008:ONLINE Show nearby items on shelf
Title:Compstat Proceedings in Computational Statistics 8th Symposium held in Copenhagen 1988
Author(s):
Date:1988
Size:1 online resource (451 p.)
Note:10.1007/978-3-642-46900-8
Contents:Keynote Papers -- Parallel Linear Algebra in Statistical Computations -- Three Examples of Computer-Intensive Statistical Inference -- Non-Parametric Estimation -- Efficient Nonparametric Smoothing in High Dimensions Using Interactive
Graphical Techniques -- A Boundary Modification of Kernel Function Smoothing, with Application to Insulin Absorption Kinetics -- A Roughness Penalty Regression Approach for Statistical Graphics -- Projection Pursuit -- Detecting
Structures by Means of Projection Pursuit -- Confidence Regions for Projection Pursuit Density Estimates -- A Robustness Property of the Projection Pursuit Methods in Sampling from Separably Dependent Random Vectors -- Graphical
Techniques -- Graphical Modelling with Large Numbers of Variables: An Application of Principal Components -- Some Graphical Displays for Square Tables -- Data Plotting Methods for Checking Multivariate Normality and Related Ideas --
Computer-aided Illustration of Regression Diagnostics -- Computer Guided Diagnostics -- Expert Systems -- How should the Statistical Expert System and its User see Each Other? -- Towards a Probabilistic Analysis of MYCIN-like Expert
Systems -- An Expert System Accepting Knowledge in a form of Statistical Data -- Building a Statistical Expert System with Knowledge Bases of Different Levels of Abstraction -- An Expert System for the Interpretation of Results of
Canonical Covariance Analysis -- Building a Statistical Knowledge Base: A Discussion of the Approach used in the Development of THESEUS, a Statistical Expert System -- Prince: An Expert System for Nonlinear Principal Components
Analysis -- Expert Systems for Non-Linear Modelling: Progress and Prospects -- Inside a Statistical Expert System: Statistical Methods Employed in the ESTES System -- An Implementation of an EDA Expert System in Prolog Environment --
Automatic Acquisition of Knowledge Base from Data without Expert: ESOD (Expert Sytem from Observational Data) -- Experiments with Probabilistic Consultation Systems -- Statistical Consultants and Statistical Expert Systems -- On
Inference Process -- Identification Keys, Diagnostic Tables and Expert Systems -- Languages and Packages -- Adding new Statistical Techniques to Standard Software Systems: A Review -- Funigirls: A Prototype Functional Programming
Language for the Analysis of Generalized Linear Models -- Blinwdr: An APL-function Library for Interactively Solving the Problem of Robust and Bounded Influence Regression -- Computational Intensive Methods -- Exact Non-Parametric
Significance Tests -- Resampling Tests of Statistical Hypotheses -- Clustering Based on Neural Network Processing -- Decision Tree Classifier for Speech Recognition -- Algorithms -- Efficient Sampling Algorithms and Balanced Samples --
Recursive Partition in Biostatistics: Stability of Trees and Choice of the Most Stable Classification -- Generating Rules by Means of Regression Analysis -- A New Algorithm for Matched Case-Control Studies with Applications to Additive
Models -- An Algorithm for the Approximation of N-Dimensional Distributions -- Further Recursive Algorithms for Multidimensional Table Computation -- Statistical Methods -- Nonlinear Regression: Methodological and Software Aspects --
Comparing Sensitivity of Models to Missing Data in the GMANOVA -- A Modelling Approach to Multiple Correspondence Analysis -- Multidimensional Scaling on the Sphere -- A Monte Carlo Evaluation of the Methods for Estimating the
Parameters of the Generalized Lambda Distribution -- Statistical Guidance for Model Modification in Covariance Structure Analysis -- Similarities Functions -- Robust Bayesian Regression Analysis with HPD-Regions -- Time Series --
Estimation of ARMA Process Parameters and Noise Variance by Means of a Non-Linear Filtering Algorithm -- Autoregressive Models with Latent Variables -- An Algorithm for Time Series Decomposition Using StateSpace Models with Singular
Transition Matrix -- Statistical Data Bases and Survey Processing -- New Perspectives in Computer Assisted Survey Processing -- Multiple Imputation for Data-Base Construction -- Grasp: A Complete Graphical Conceptual Language for
Definition and Manipulation of Statistical Databases -- Experimental Design -- New Algorithmic and Software Tools for D-Optimal Design Computation in Nonlinear Regression -- Econometric Computing -- Model-Building on Micro Computers:
Spreadsheets or Specific Software -- Late Arrivals -- Three Examples of Computer-Intensive Statistical Inference -- New Computer Procedures for Generating Optimal Mixture Designs on Finite Design Spaces -- Screening Based Exclusively
on Experts Opinions -- Address list of Authors
ISBN:9783642469008
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1988-9781468452877:ONLINE Show nearby items on shelf
Title:Possibility Theory An Approach to Computerized Processing of Uncertainty
Author(s): Didier Dubois
Date:1988
Size:1 online resource (280p p.)
Note:10.1007/978-1-4684-5287-7
Contents:1. Measures of Possibility and Fuzzy Sets -- 1.1. Imprecision and Uncertainty -- 1.2. Traditional Models of Imprecision and Uncertainty -- 1.3. Confidence Measures -- 1.4. Fuzzy Sets -- 1.5. Elementary Fuzzy Set Operations -- 1.6.
Practical Methods for Determining Membership Functions -- 1.7. Confidence Measures for a Fuzzy Event -- 1.8. Fuzzy Relations and Cartesian Products of Fuzzy Sets -- References -- 2. The Calculus of Fuzzy Quantities -- 2.1. Definitions
and a Fundamental Principle -- 2.2. Calculus of Fuzzy Quantities with Noninteractive Variables -- 2.3. Practical Calculation with Fuzzy Intervals -- 2.4. Further Calculi of Fuzzy Quantities -- 2.5. Illustrative Examples -- Appendix:
Computer Programs -- References -- 3. The Use of Fuzzy Sets for the Evaluation and Ranking of Objects -- 3.1. A Quantitative Approach to Multiaspect Choice -- 3.2. Comparison of Imprecise Evaluations -- Appendix: Computer Programs --
References -- 4. Models for Approximate Reasoning in Expert Systems -- 4.1. Remarks on Modeling Imprecision and Uncertainty -- 4.2. Reasoning from Uncertain Premises -- 4.3. Inference from Vague or Fuzzy Premises -- 4.4. Brief Summary
of Current Work and Systems -- 4.5. Example -- Appendix A. -- Appendix B: Computer Programs -- References -- 5. Heuristic Search in an Imprecise Environment, and Fuzzy Programming -- 5.1. Heuristic Search in an Imprecise Environment --
5.2. An Example of Fuzzy Programming: Tracing the Execution of an Itinerary Specified in Imprecise Terms -- Appendix: Computer Programs -- A.1. Selection of “the Smallest” of N Fuzzy Numbers -- A.2. Tracing Imprecisely Specified
Itineraries -- References -- 6. Handling of Incomplete or Uncertain Data and Vague Queries in Database Applications -- 6.1. Representation of Incomplete or Uncertain Data -- 6.2. The Extended Relational Algebra and the Corresponding
Query Language -- 6.3. Example -- 6.4. Conclusion -- Appendix: Computer Program -- A.1. Data Structures -- A.2. Representation of Queries -- A.3. Description of Implemeted Procedures -- References
ISBN:9781468452877
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Computer science , Statistics , Statistics, general , Computer Science, general
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Call number:SPRINGER-1987-9781461318811:ONLINE Show nearby items on shelf
Title:Foundations of Data Organization
Author(s):
Date:1987
Size:1 online resource (650 p.)
Note:10.1007/978-1-4613-1881-1
Contents:Databases for Advanced Applications -- Statistics Metadata: Linear Regression Analysis -- Dynamic PATRICIA -- Design of an Integrated DBMS to Support Advanced Applications -- Use of the Relational Model for Data Representation in a
Deductively Augmented Database Management System -- Hashing -- Hash-Based File Organization Utilizing Large Capacity Main Memory -- Trie Hashing: Further Properties and Performance -- The Study of A Letter Oriented Minimal Perfect
Hashing Scheme -- Consecutive Retrieval Property -- On the Relaxed Consecutive Retrieval Property in File Organization -- Consecutive Retrieval Organization as a File Allocation Scheme on Multiple Disk Systems -- TRACER: Transposed
File Organization Scheme with Consecutive Retrieval Property and Its Application to Statistical Database System -- Multiple Query Processing in Local Area Database System -- File Allocation and Distributed Databases -- Management of
Table Partitioning and Replication in a Distributed Relational Database System -- On Strict Optimality Property of Allocating Binary Cartesian Product Files on Multiple Disk Systems -- On the Complexity of File Allocation Problem -- A
Quantitative Evaluation of Scheduling Systems for the Physical Locking Scheme in a Database System -- Allocation of Documents in Two Level Memory for Information Retrieval Systems -- Mathematical File Organization and Computational
Geometry -- Further Results on Hyperclaw Decomposition and Balanced Filing Schemes -- Placing Tiles in the Plane -- Mixed-Type Multiple-Valued Filing Scheme of Order One and Two -- Space Partitioning and Its Application to Generalized
Retrieval Problems -- On Computing and Updating Triangulations -- Database Machines -- VLSI Trees for File Organization -- The Inverted File Tree Machine: Efficient Multi-Key Retrieval for VLSI -- Multidimensional Clustering Techniques
for Large Relational Database Machines -- A Method for Realistic Comparisons of Sorting Algorithms for VLSI -- Database Models -- Update Propagation in the IFO Database Model -- Computation-tuple Sequences and Object Histories:
Extended Abstract -- Projection of Object Histories -- Functional Entity Relationship Model and Update Operations (Extended Abstract) -- An Algebra for an Entity-Relationship Model and Its Application to Graphical Query Processing --
Structures and Performance of Physical Database Models -- Record-to-Area Mapping in the CODASYL Environment -- An Optimal Trie Construction Algorithm for Partial-Match Queries -- FOPES: File Organization Performance Estimation System
-- Empirical Comparison of Associative File Structures -- Hybrid Sorting Techniques in Grid Structures -- CAD/VLSI Databases -- A Model and Storage Technique for Versions of VLSI CAD Objects -- Storage and Access Structures for
Geometric Data Bases -- A Conceptual Basis for Graphics-Based Data Management (Extended Abstract) -- Semantic Data Organization on a Generalized Data Management System -- Frequency Separation Analysis for Object Oriented Databases --
Query Processing and Physical Structures for Relational Databases -- Index Selection in Relational Databases -- A Physical Structure for Efficient Processing of Relational Queries -- A Hash Join Technique for Relational Database
Systems -- Data Organization Method for the Parallel Execution of Relational Operations -- Implementation of Inferential Relational Database System -- Database Theory -- Towards a Basic Relational NF2 Algebra Processor -- Two Classes
of Easily Tested Integrity Constraints: Complacent and FD-complacent Integrity Constraints -- Semantic Constraints of Network Model (Extended Abstract) -- Join-Decomposition of MVD-Constraints Using the Characterization by “Bases” -An
Introductive Study- -- Database Research and Development in the Pacific Area Countries -- Database Research and Development in Taiwan -- Database Research and Development in Korea -- Database Research and Development in Australia --
Database Research and Development in Japan: Its Past, Present and Future -- Database Research and Development in China -- Database Research and Development in Singapore -- Author index
ISBN:9781461318811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Astrophysics , Statistics , Physics , Astrophysics and Astroparticles , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien
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Call number:QC793.47.E4R66::2005 Show nearby items on shelf
Title:ROOT An Object-oriented data analysis framework: Users Guide 4.04
Author(s):
Date:2005
Edition:4.04
Size:393 pgs
Contents:1. Introduction, 2. Getting Started, 3. Histograms, 4. Graphs, 5. Fitting Histograms, 6. A Little C++, 7. CINT the C++ Interpreter, 8. Object Ownership, 9. Graphics and the Graphical User Interface, 10. Folders and Tasks, 11. Input/Output, 12. Trees, 13. Linear Algebra in Root, 14. Adding a Class, 15. Collection Classes, 16. Physics Vectors, 17. The Geometry Package, 18. Python and Ruby Interfaces, 19. The Tutorials and Tests, 20. Example Analysis, 21. Networking, 22. Threads, 23. PROOF: Parallel Processing, 24. Writing a Graphical User Interface, 25. Automatic HTML Documentation, 26. Appendix: Install and Build ROOT
Keywords: Particles (Nuclear physics) Data processing
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Call number:QC174.17.D37S74::2010 Show nearby items on shelf
Title:Quantum Mechanics Using Computer Algebra : Includes Sample Programs in C++, Symbolic C++, Mixima, Maple, and Mathematica
Author(s): Willi Hans Steeb
Yorick Hardy 1976-
Date:2010
Edition:2nd ed.
Publisher:World Scientific
Size:234 pgs.
Contents:1. Conservation law and Schrodinger equation, 2. Wave-packet and free Schrodinger equation, 3. Separation ansatz and Schrodinger equation, 4. Matrix representation in the Hilbert space [actual symbol not reproducible], 5. One-dimensional potential and trial function, 6. Heisenberg equation of motion, 7. Harmonic oscillator, 8. Harmonic oscillator and recursion relation, 9. Commutation relations of p and q, 10. Anharmonic oscillator, 11. One-dimensional WKB-solutions, 12. Angular momentum operators I, 13. Angular momentum operators II , 14. Angular momentum operators III, 15. Lie algebra su(3) and commutation relations, 16. Spin-1 Lie algebra and commutation relations, 17. Radial symmetric potential and bound states, 18. Wave function of hydrogen atom I, 19. Wave function of hydrogen atom II, 20. Helium atom and trial function, 21. Stark effect, 22. Scattering in one dimension, 23. Gauge theory, 24. Driven two level system, 25. Free electron spin resonance, 26. Two point Ising model with external field, 27. Two point Heisenberg model, 28. Fermi operators, 29. Fermi operators with spin and the Hubbard model, 30. Bose operators, 31. Matrix representation of Bose operators, 32. Coherent states
33. Quartic Hamilton operator and Bose operators, 34. Dirac equation and dispersion law, 35. Perturbation theory, 36. Elastic scattering, 37. Exceptional points, 38. Expansion of exp(L)A exp(- L), 39. Expansion of [actual symbol not reproducible], 40. Heavyside, sign-, and delta function, 41. Legendre polynomials, 42. Laguerre polynomials, 43. Hermite polynomials, 44. Chebyshev polynomials, 45. Spherical harmonics, 46. Clebsch-Gordon series, 47. Hypergeometric functions, 48. Eigenvalue problems and hypergeometric differential equation, 49. Gamma matrices and spin matrices, 50. Fourier transform, 51. Discrete Fourier transform, 52. Fourier expansion, 53. Group theory, 54. Quantum groups, 55. Gram-Schmidt orthogonalisation process, 56. Soliton theory and quantum mechanics, 57. Pade approximation, 58. Cumulant expansion, 59. Leverrier's method, Mathematica programs, Maple programs, C++ programs
ISBN:9789814307161
Keywords: Quantum Theory - Data Processing , Computer Algorithms
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Call number:QA76.73.P98I3::2014 Show nearby items on shelf
Title:Python data analysis: learn how to apply powerful data analysis techniques with popular open source Python modules
Author(s): Ivan Idris
Date:2014
Publisher:Birmingham, UK: Packt Publishing Ltd
Size:329 p
Contents:Getting started with Python libraries -- NumPy arrays -- Statistics and linear algebra -- pandas primer -- Retrieving, processing, and storing data -- Data visualization -- Signal processing and time series -- Working with databases -- Analyzing tex tual data and social media -- Predictive analytics and machine learning -- Environments outside the Python ecosystem and cloud computing -- Performance tuning, profiling, and concurrency -- Appendix A : key concepts -- Appendix B : useful functions -- App endix C : online resources.
ISBN:9781783553358
Keywords: Python (Computer program language) , Programming languages (Electronic computers)
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Call number:QA76.73.P98G78::2015 Show nearby items on shelf
Title:Data science from scratch: First principles with Python
Author(s): Joel Grus
Date:2015
Publisher:O'Reilly Media
Size:311 p.
Contents:Introduction -- A crash course in Python -- Visualizing data -- Linear algebra -- Statistics -- Probability -- Hypothesis and inference -- Gradient descent -- Getting data -- Working with data -- Machine learning -- k-Nearest neighbors -- Naive bayes -- Simple linear regression -- Multiple regression -- Logistic regression -- Decision trees -- Neural networks -- Clustering -- Natural language processing -- Network analysis -- Recommender systems -- Databases and SQL -- MapReduce -- Go forth and do dat a science.
ISBN:9781491901427
Keywords: Python (Computer program language) , Database management. , Data structures (Computer science)
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Call number:QA184.N174 Show nearby items on shelf
Title:Compact numerical methods for computers : linear algebra and function minimisation
Author(s): John C. Nash 1947-
Date:1979
Publisher:Wiley, New York
Size:227
ISBN:0470265590
Keywords: Algebras, Linear Data processing.
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Call number:QA155.7.E4H365::2008 Show nearby items on shelf
Title:Computer algebra with SymbolicC++
Author(s): Yorick Hardy
Kiat Shi Tan
W.-H. Steeb
Date:2008
Publisher:World Scientific
Size:583 p.
ISBN:9789812833600
Keywords: Algebra Data processing. , C++ (Computer program language)
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Call number:QA155.7.E4C739::1983 Show nearby items on shelf
Title:Computer algebra : symbolic and algebraic computation
Author(s): Bruno Buchberger
Date:1983
Edition:2nd ed.
Publisher:Springer-Verlag, Wien
Size:283
ISBN:038781776X
Series:Computing. Supplementum : 4
Keywords: Algebra Data processing.
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Call number:QA155.7.E4C635::2002 Show nearby items on shelf
Title:Computer algebra and symbolic computation : elementary algorithms
Author(s): Joel S. Cohen
Date:2002
Publisher:A.K. Peters, Natick, Mass
Size:323
ISBN:1568811586
Keywords: Algebra Data processing.
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Call number:QA155.7.E4A67::1985 Show nearby items on shelf
Title:Applications of computer algebra
Author(s): Richard Pavelle
Date:1985
Publisher:Kluwer Academic Publishers, Boston
Size:433
ISBN:0898381738
Keywords: Algebra Data processing
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