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Call number: | 9783319434766:ONLINE Show nearby items on shelf |
Title: | Discrete Probability Models and Methods Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding |
Author(s): |
Pierre Brémaud |
Date: | 2017 |
Size: | 1 online resource (XIV, 559 p. 92 illus p.) |
Contents: | Introduction -- 1.Events and probability -- 2.Random variables -- 3.Bounds and inequalities -- 4.Almost-sure convergence -- 5.Coupling and the variation distance -- 6.The probabilistic method -- 7.Codes and trees -- 8.Markov chains -- |
9.Branching trees -- 10.Markov fields on graphs -- 11.Random graphs -- 12.Recurrence of Markov chains -- 13.Random walks on graphs -- 14.Asymptotic behaviour of Markov chains -- 15.Monte Carlo sampling -- 16. Convergence rates -- | |
Appendix -- Bibliography | |
ISBN: | 9783319434766 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Computer communication systems , Coding theory , Mathematical statistics , Probabilities , Graph theory , Mathematics , Probability Theory and Stochastic Processes , Probability and Statistics in Computer Science , Graph Theory , Coding and Information Theory , Computer Communication Networks |
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Call number: | SPRINGER-2016-9783319411927:ONLINE Show nearby items on shelf |
Title: | Search and Optimization by Metaheuristics Techniques and Algorithms Inspired by Nature |
Author(s): |
Ke-Lin Du |
Date: | 2016 |
Size: | 1 online resource (40 p.) |
Note: | 10.1007/978-3-319-41192-7 |
Contents: | Preface -- Introduction -- Simulated Annealing -- Optimization by Recurrent Neural Networks -- Genetic Algorithms and Genetic Programming -- Evolutionary Strategies -- Differential Evolution -- Estimation of Distribution Algorithms -- Mimetic Algor ithms -- Topics in EAs -- Particle Swarm Optimization -- Artificial Immune Systems -- Ant Colony Optimization -- Tabu Search and Scatter Search -- Bee Metaheuristics -- Harmony Search -- Biomolecular Computing -- Quantum Computing -- Other Heuristics-Insp ired Optimization Methods -- Dynamic, Multimodal, and Constraint-Satisfaction Optimizations -- Multiobjective Optimization -- Appendix 1: Discrete Benchmark Functions -- Appendix 2: Test Functions -- Index |
ISBN: | 9783319411927 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer simulation , Algorithms , Computer mathematics , Mathematical optimization , Computational intelligence , Mathematics , Computational Science and Engineering , Algorithms , Optimization , Simulation and Modeling , Computational Intelligence |
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Call number: | SPRINGER-2016-9783319338286:ONLINE Show nearby items on shelf |
Title: | Generalized Connectivity of Graphs |
Author(s): |
Xueliang Li |
Date: | 2016 |
Size: | 1 online resource (6 p.) |
Note: | 10.1007/978-3-319-33828-6 |
Contents: | 1. Introduction -- 2. Results for some graph classes -- 3. Algorithm and complexity -- 4. Sharp bounds of the generalized (edge-) connectivity -- 5. Graphs with given generalized connectivity -- 6. Nordhaus-Gaddum-type results -- 7. Results for gra ph products -- 8. Maximum generalized local connectivity -- 9. Generalized connectivity for random graphs -- Bibliography.– Index. |
ISBN: | 9783319338286 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer science , Operations research , Management science , Combinatorics , Graph theory , Mathematics , Graph Theory , Combinatorics , Discrete Mathematics in Computer Science , Operations Research, Management Science |
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Call number: | SPRINGER-2016-9783319283166:ONLINE Show nearby items on shelf |
Title: | An Introduction to Statistics with Python With Applications in the Life Sciences |
Author(s): |
Thomas Haslwanter |
Date: | 2016 |
Size: | 1 online resource (85 p.) |
Note: | 10.1007/978-3-319-28316-6 |
Contents: | Part I: Python and Statistics -- Why Statistics? -- Python -- Data Input -- Display of Statistical Data -- Part II: Distributions and Hypothesis Tests -- Background -- Distributions of One Variable -- Hypothesis Tests -- Tests of Means of Numerical Data -- Tests on Categorical Data -- Analysis of Survival Times -- Part III: Statistical Modelling -- Linear Regression Models -- Multivariate Data Analysis -- Tests on Discrete Data -- Bayesian Statistics -- Solutions -- Glossary -- Index |
ISBN: | 9783319283166 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Statistics , Programming languages (Electronic computers) , Biostatistics , Computer mathematics , Statistics , Statistics and Computing/Statistics Programs , Statistics for Life Sciences, Medicine, Health Sciences , Biostatistics , Computational Science and Engineering , Programming Languages, Compilers, Interpreters |
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Call number: | SPRINGER-2016-9783319072548:ONLINE Show nearby items on shelf |
Title: | Elements of Probability and Statistics An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics |
Author(s): |
Francesca Biagini |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (27 p.) |
Note: | 10.1007/978-3-319-07254-8 |
Contents: | 1 Random numbers -- 2 Discrete distributions -- 3 One-dimensional absolutely continuous distributions -- 4 Multi-dimensional absolutely continuous distributions -- 5 Convergence of distributions -- 6 Discrete time Markov chains -- 7 Continuous time Markov chains -- 8 Statistics -- 9 Combinatorics -- 10 Discrete distributions -- 11 One-dimensional absolutely continuous distributions -- 12 Absolutely continuous and multivariate distributions -- 13 Markov chains -- 14 Statistics -- 15 Elements of comb inatorics -- 16 Relations between discrete and absolutely continuous distributions -- 17 Some discrete distributions -- 18 Some one-dimensional absolutely continuous distributions -- 19 The normal distribution -- 20 Stirling's formula -- 21 Elements of an alysis -- 22 Bidimensional integrals |
ISBN: | 9783319072548 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | UNITEXT: 98 |
Keywords: | Mathematics , Business mathematics , Mathematical statistics , Probabilities , Physics , Statistics , Applied mathematics , Engineering mathematics , Mathematics , Probability Theory and Stochastic Processes , Statistical Theory and Methods , Probability and Statistics in Computer Science , Business Mathematics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2014 |
Edition: | 4th ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012 |
Contents: | Preface |
Computing with Formulas | |
Loops and Lists | |
Functions and Branching | |
User Input and Error Handling | |
Array Computing and Curve Plotting | |
Dictionaries and Strings | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
Migrating Python to Compiled Code | |
Technical Topics | |
Bibliography | |
Index | |
ISBN: | 9783642549595 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2014-9783642395246:ONLINE Show nearby items on shelf |
Title: | Modeling and Simulation [electronic resource] : An Application-Oriented Introduction |
Author(s): |
Hans-Joachim Bungartz Stefan Zimmer Martin Buchholz Dirk Pflger |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversityof approaches that ca n be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstractmodels. Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, from model derivation to the simulation, is applied to 14 example scenarios from diverse fields such asGame theory - deciding - planning, Traffic on highways and data highways, Dynamical systems and Physics in the computer. Whether it is game theory or mathematical finance, traffic or control theory, populationdynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way |
Contents: | 1 Introduction |
2 The necessary instruments in brief | |
Part I Playing deciding planning: A modeling warm | |
up | |
3 Game theory | |
4 Group decisions | |
5 Schedules | |
6 Wiener processes | |
Part II Traffic on highways and data highways: A trip through the simulation pipeline | |
7 Macroscopic simulation of traffic | |
8 Microscopic simulation of traffic | |
9 Stochastic traffic simulations | |
Part III Dynamic systems: Cause, effect and interaction | |
10 Population dynamics | |
11 Controllers | |
12 Chaos theory | |
Part IV Physics on the computer: The switch to number crunchers | |
13 Molecula | |
ISBN: | 9783642395246 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Computer science Mathematics , Computer science |
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Call number: | SPRINGER-2014-9783319045375:ONLINE Show nearby items on shelf |
Title: | Sparse Grids and Applications - Munich 2012 [electronic resource] |
Author(s): |
Jochen Garcke Dirk Pflger |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Sparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems. Whereas classical numerical discretization schemes fail in more than three or four dimensions, sparse gridsmake it possible to over come the curse of dimensionality to some degree, extending the number of dimensions that can be dealt with. This volume of LNCSE collects the papers from the proceedings of the second workshop on sparsegrids and applications, demonstrating once again the importance of this numerical discretization scheme. The selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures, andthe range of applications extends to uncertainty quantification settings a nd clustering, to name but a few examples |
Contents: | Gerrit Buse, Dirk Pfluger, and Riko Jacob: Efficient Pseudorecursive Evaluation Schemes for Non |
Adaptive Sparse Grids | |
Oliver G. Ernst and Bjorn Sprungk: Stochastic Collocation for Elliptic PDEs with Random Data The Lognormal Case | |
Michael Griebel and Helmut Harbrecht: On the Convergence of the Combination Technique | |
Michael Griebel and Jan Hamaekers: Fast Discrete Fourier Transform on Generalized Sparse Grids | |
Michael Griebel and Jens Oettershagen: Dimension | |
adaptive Sparse Grid Quadrature for Integrals with Boundary Singularities | |
Max Gunzburger, Clayton G. Webster, and Gua | |
ISBN: | 9783319045375 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v97 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Computer science |
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Call number: | SPRINGER-2014-9783319020907:ONLINE Show nearby items on shelf |
Title: | Reduced Order Methods for Modeling and Computational Reduction [electronic resource] |
Author(s): |
Alfio Quarteroni Gianluigi Rozza |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasison real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications inengineering data assimilation, geometry registr ation, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics real-time visualization of physics-based simulations incomputer science the treatment of high-dimensional problems in state s pace, physical space, or parameter space the interactions between different model reduction and dimensionality reduction approaches the development of generalerror estimation frameworks which take into account both model and discretization effects. This b ook is primarily addressed to computational scientists interested in computational reduction techniques for large scale differentialproblems |
Contents: | 1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems |
2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced | |
Basis and the Loewner Framework | |
3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations | |
4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System | |
5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization | |
6 P. Benner, L. Feng: | |
ISBN: | 9783319020907 |
Series: | eBooks |
Series: | SpringerLink |
Series: | MS&A - Modeling, Simulation and Applications, 2037-5255 : v9 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics , Materials |
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Call number: | SPRINGER-2014-9781461495338:ONLINE Show nearby items on shelf |
Title: | Genericity in Nonlinear Analysis [electronic resource] |
Author(s): |
Simeon Reich Alexander J Zaslavski |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and importantproblems. Nonlinear analys is plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The textmay be used as supplementary material for gradu ate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and inthe mathematical sciences. Each chapter is self-contained proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topicspresented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods forminimization in a general Banach space, and the structure of minimal energy configurations with rational numbers i n the AubryMather theory |
Contents: | Preface |
1. Introduction | |
2. Fixed Point Results and Convergence of Powers of Operators | |
3. Contractive Mappings | |
4. Dynamical Systems with Convex Lyapunov Functions | |
5. Relatively Nonexpansive Operators with Respect to Bregman Distances | |
6. Infinite Products | |
7.Best Approximation | |
8. Descent Methods | |
9. Set | |
Valued Mappings | |
References | |
Index | |
ISBN: | 9781461495338 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Developments in Mathematics, 1389-2177 : v34 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Operator theory , Mathematical optimization |
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Call number: | SPRINGER-2013-9789400748255:ONLINE Show nearby items on shelf |
Title: | Automatic trend estimation [electronic resource] |
Author(s): |
Calin Vamos Maria Craciun |
Date: | 2013 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Our book introduces a method to evaluate the accuracy of trend estimation algorithms under conditions similar to those encountered in real time series processing. This method is based on Monte Carlo experiments with artificialtime series numerically generated by an original algorithm. The second part of the book contains several automatic algorithms for trend estimation and time series partitioning. The source codes of the computer programs implementingthese original automatic algorithms are given in the appendix and will be freely available on the web. The book contains clear statement of the conditions and the approximations under which the algorithms work, as well as the properinterpretation of their results. We illustrate the functioning of the a nalyzed algorithms by processing time series from astrophysics, finance, biophysics, and paleoclimatology. The numerical experiment method extensively used in ourbook is already in common use in computational and statistical physics |
Note: | Springer eBooks |
Contents: | Discrete stochastic processes and time series |
Trend definition | |
Finite AR(1) stochastic process | |
Monte Carlo experiments | |
Monte Carlo statistical ensembles | |
Numerical generation of trends | |
Numerical generation of noisy time series | |
Statistical hypothesis testing | |
Testing the i.i.d. property | |
Polynomial fitting | |
Linear regression | |
Polynomial fitting | |
Polynomial fitting of artificial time series | |
An astrophysical example | |
Noise smoothing | |
Moving average | |
Repeated moving average (RMA) | |
Smoothing of artificial time series | |
A financial example | |
Automatic estim | |
ISBN: | 9789400748255 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Physics, 2191-5423 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Computer simulation , Computer science Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9788847028920:ONLINE Show nearby items on shelf |
Title: | Computing Qualitatively Correct Approximations of Balance Laws [electronic resource] : Exponential-Fit, Well-Balanced and Asymptotic-Preserving |
Author(s): |
Laurent Gosse |
Date: | 2013 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock waveformation. Such a dissipat ion property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex waveinteractions. An overall weaker dissipation ca n reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagatingalong expanding characteristics after having hit a discontinuity, e xponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimescalled well-balanced, numerical schemes which succeed in reconciling high accuracy with a s tronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balancelaws, such as arising from quasi-one dimensional nozzle flow computations, multiphase WKB approximation of linear Schrdinger equations, or gravitational Navier-Stokes systems. Stability results for viscosity solutions ofonedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete or dinate approximation, such as the ones of radiative transfer, chemotaxis dynamics,semiconductor conduction, spray dynamics of linearized Boltzmann models. Caseology is one of the main techniques used in these derivations. Lagrangian techniques for filtrat ion equations are evoked too. Two-dimensional methodsare studied in the context of non-degenerate semiconductor models |
Note: | Springer eBooks |
Contents: | Introduction and chronological perspective |
Lifting a non | |
resonant scalar balance law | |
Lyapunov functional for linear error estimates | |
Early well | |
balanced derivations for various systems | |
Viscosity solutions and large | |
time behavior for non | |
resonant balance laws | |
Kinetic scheme with reflections and linear geometric optics | |
Material variables, strings and infinite domains | |
The special case of 2 | |
velocity kinetic models | |
Elementary solutions and analytical discrete | |
ordinates for radiative transfer | |
Aggregation phenomena with kinetic models of chemotaxis dynamics | |
Time | |
stabiliza | |
ISBN: | 9788847028920 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SIMAI Springer Series, 2280-840X : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics , Engineering mathematics |
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Call number: | SPRINGER-2013-9783642354649:ONLINE Show nearby items on shelf |
Title: | Artificial Boundary Method [electronic resource] |
Author(s): |
Houde Han Xiaonan Wu |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Artificial Boundary Method systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems,including Laplace, Helmholt z, heat, Schrodinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics andmechanical engineering. Prof. Houde Han works at Tsi nghua University, China Prof. Xiaonan Wu works at Hong Kong Baptist University, China |
Note: | Springer eBooks |
Contents: | Global artificial boundary conditions of second order elliptic differential equations |
Global artificial boundary conditions of Navie Equations and Stokes Equations | |
Global artificial boundary conditions of heat equation and Schrodinger Equation | |
Fully absorbing boundary conditions of wave equations, Klein | |
Gordan Equation and linear KdV Equation | |
Discrete artificial boundary conditions | |
Local artificial boundary conditions | |
Implicit artificial boundary conditions | |
Nonlinear artificial boundary conditions | |
Applications | |
ISBN: | 9783642354649 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Computer science , Engineering mathematics |
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Call number: | SPRINGER-2013-9783642341410:ONLINE Show nearby items on shelf |
Title: | Innovations for Shape Analysis [electronic resource] : Models and Algorithms |
Author(s): |
Michael Breu Alfred Bruckstein Petros Maragos |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volumereflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow dataprocessing within an acceptable timeframe. Examin ing important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is athorough introduction to the latest technology, especially given the tuto rial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology,skeletonization, statistical shape modeling, continuous-scale shape models such as partial differ ential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons,multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers |
Note: | Springer eBooks |
Contents: | Part I Discrete Shape Analysis: 1 Modeling Three |
Dimensional Morse and Morse | |
Smale Complexes by L. omi et al | |
2 Geodesic Regression and its Application to Shape Analysis by P.Th.Fletcher | |
3 Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours by P.Maragos and K.Drakopoulos | |
4 Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods by P.Peter and M.Breu | |
5 Nested Sphere Statistics of Skeletal Models by S.M.Pizer et al | |
6 3D Curve Skeleton Computation and Use for Discrete Shape Analysis by G.Sanniti di | |
ISBN: | 9783642341410 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Visualization, 1612-3786 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Computer science Mathematics , Visualization |
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Call number: | SPRINGER-2013-9783642324604:ONLINE Show nearby items on shelf |
Title: | Traffic Flow Dynamics [electronic resource] : Data, Models and Simulation |
Author(s): |
Martin Treiber Arne Kesting |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specializedmonographs, accessible to a b road readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineeringand, more generally, also at students and professi onals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The mainpart, after presenting different categories of traffic data, is devoted t o a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopicmany-particle models in which each particle corresponds to a vehicle and its driver.Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way.Finally, thetheoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transpor tation systems, traffic operations management, and a detailed physics-based model for fuelconsumption and emissions |
Note: | Springer eBooks |
Contents: | Introduction |
Part I Traffic Data: Trajectroy and Floating | |
Car Data | |
Cross | |
Sectional Data | |
Representations of Cross | |
Sectional Data | |
Spatiotemporal Reconstruction of the Traffic State | |
Part II Traffic Flow Modeling: General Aspects | |
Continuity Equation | |
The Lighthill | |
Whitham | |
Richards Model | |
Macroscopic Models with Dynamic Velocity | |
Elementary Car | |
Following Models | |
Car | |
Following Models based on Driving Strategies | |
Modeling Human Aspects of Driving Behavior | |
Cellular Automata | |
Lane | |
Changing and other Discrete | |
Choice Situations | |
Stability Analysis | |
Calibration and Val | |
ISBN: | 9783642324604 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical optimization , Engineering , Operations research |
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Call number: | SPRINGER-2013-9783642309045:ONLINE Show nearby items on shelf |
Title: | Advances in Network Analysis and its Applications [electronic resource] |
Author(s): |
Evangelos Kranakis |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating thecross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation,communication, health, finance, and social policy mor e broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such aswireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider' s view of cutting-edge research in network systems, including methodologieswith immense potential for interdisciplinary application. The contributors have all presented mate rial at a series of workshops organized on behalf of Canadas MITACS initiative, which funds projects and study grants inmathematics for information technology and complex systems. These proceedings include papers from workshops on financial networks, netw ork security and cryptography, and social networks. MITACS has shown that the partlyghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pac e of research in a number of areas of network systemsresearch |
Note: | Springer eBooks |
Contents: | FINANCIAL NETWORKS: 1. Mathematical modeling of systemic risk: H. Amini, A. Minca |
2. Systemic risk in banking networks without Monte Carlo simulation: J. P. Gleeson, T. R. Hurd, S. Melnik, A. Hackett | |
3. Systemic Valuation of Banks Interbank Equilibrium and Contagion: G. Haaj | |
4. An Open Problem: J. B. Walsh | |
II SECURITY NETWORKS: 5. Dynamic Trust Management: Network Profiling for High Assurance Resilience: M. Burmester , W. O. Redwood | |
6. Security Issues in Link State Routing Protocols for MANETs: G.Cervera, M.Barbeau, J. Garcia | |
Alfaro, E.Kranakis | |
7. TCHo: a Code | |
bas | |
ISBN: | 9783642309045 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics in Industry, 1612-3956 : v18 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer Communication Networks , Bioinformatics , Computer engineering , Industrial organization (Economic theory) |
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Call number: | SPRINGER-2013-9781461487814:ONLINE Show nearby items on shelf |
Title: | Ricci Flow for Shape Analysis and Surface Registration [electronic resource] : Theories, Algorithms and Applications |
Author(s): |
Wei Zeng Xianfeng David Gu |
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: | Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all themajor theorems in surfac e Ricci flow by themselves. The authors adapttheRicci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricciflow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this bookis accessible toengineersand medicalexperts, including educators,researchers, students and industry engineerswhohave an interest insolvingreal problems related to shape analysis and surface registration. |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. Computational | |
3.Computational Geometry | |
4. Differential Geometry of Surface | |
5. Riemann Surface | |
6. Ricci Flow | |
7. Topological Algorithms | |
8. Harmonic Maps | |
9. Discrete Ricci Flow | |
10. Shape Analysis | |
11. Surface Diffeomorphism | |
12. Medical Imaging Applications | |
13. Computer Vision Applications | |
14. Computer Graphics Applications | |
15. Network Applications. | |
ISBN: | 9781461487814 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Computer science Mathematics , Geometry , Discrete groups |
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Call number: | SPRINGER-2013-9781461481188:ONLINE Show nearby items on shelf |
Title: | Lectures on Sphere Arrangements the Discrete Geometric Side [electronic resource] |
Author(s): |
Kroly Bezdek |
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: | This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate andearly graduate stude nts, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for aone-semester advanced undergraduate or grad uate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications andcontains four basic topics. The first two deal with active areas that hav e been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection tonumber theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The thirdmajor topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of co nvex polytopes to the family of intersections of congruent balls. This section of the text is connected in many waysto the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders. |
Note: | Springer eBooks |
Contents: | 1. Unit Sphere Packings |
2. Proofs on Unit Sphere Packings | |
3. Contractions of Sphere Arrangements | |
4. Proofs on Contractions of Sphere Arrangements | |
5. Ball | |
Polyhedra and Spindle Convex Bodies | |
6. Proofs on Ball | |
Polyhedra and Spindle Convex Bodies | |
7. Coverings by Cylinders | |
8. Proofs on Coverings by Cylinders | |
9. Research Problems | |
an Overview | |
Glossary | |
References | |
ISBN: | 9781461481188 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Monographs, 1069-5273 : v32 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Discrete groups |
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Call number: | SPRINGER-2013-9781461473060:ONLINE Show nearby items on shelf |
Title: | Derivative Securities and Difference Methods [electronic resource] |
Author(s): |
You-lan Zhu Xiaonan Wu I-Liang Chern Zhi-zhong Sun |
Date: | 2013 |
Edition: | 2nd ed. 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: | This book is mainly devoted to finite difference numerical methods for solving partial differential equation (PDE) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided intotwo main parts. In th e first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE initial/initial-boundary value problems for different sets of derivativeproducts (vanilla and exotic options, and int erest rate derivatives). For many option problems, the analytic solutions are also derived with details.The second part is devoted to explaining and analyzing the application of finitedifferences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products withearly exercise feature) linear complementarity and free boundary problems. In each chapter, th e techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook forgraduate students following a mathematical finance program as well as a valuable reference for those researchers w orking in numerical methodsof financial derivatives. For this new edition, the book has been updated throughout withmany new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are prov ided and the proof of solution-uniqueness of derivative security problems and the completestability analysis of numerical methods for two-dimensional problems are added. Review of first edition: the book is highly well designed and structured as a textboo k for graduate students following a mathematical financeprogram, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable refe |
Note: | Springer eBooks |
Contents: | Introduction |
European Style Derivatives | |
American Style Derivatives | |
Exotic Options | |
Interest Rate Derivative Securities | |
Basic Numerical Methods | |
Finite Difference Methods | |
Initial | |
Boundary Value and LC Problems | |
Free | |
Boundary Problems | |
Interest Rate Modeling | |
ISBN: | 9781461473060 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Finance, 1616-0533 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Finance , Computer science Mathematics , Numerical analysis |
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Call number: | SPRINGER-2013-9781461464068:ONLINE Show nearby items on shelf |
Title: | Asymptotic Geometric Analysis [electronic resource] : Proceedings of the Fall 2010 Fields Institute Thematic Program |
Author(s): |
Monika Ludwig Vitali D Milman Vladimir Pestov Nicole Tomczak-Jaegermann |
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: | Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as thedimension tends to inf inity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in theFall of 2010 continued an established traditi on of previous large-scale programs devoted to the same general research direction. The main directions of the program included: * Asymptotic theory of convexity and normed spaces *Concentration of measure and isoperimetric inequalities, optimal transport ation approach * Applications of the concept of concentration * Connections with transformation groups and Ramsey theory * Geometrization of probability * Randommatrices * Connection with asymptotic combinatorics and complexity theory These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working ina wide range of mathematical sciencesin particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science |
Note: | Springer eBooks |
Contents: | Preface |
The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero) | |
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova) | |
On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain) | |
Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow) | |
On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman) | |
Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili) | |
F | |
ISBN: | 9781461464068 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Communications, 1069-5265 : v68 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topological Groups , Functional analysis , Operator theory , Discrete groups , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9781461460060:ONLINE Show nearby items on shelf |
Title: | Wavelets Made Easy [electronic resource] |
Author(s): |
Yves Nievergelt |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Originally published in 1999, Wavelets Made Easyoffers a lucid and concise explanation of mathematical wavelets.Written at the level of a first course in calculus and linear algebra, its accessible presentation is designedfor undergraduates in a vari ety of disciplinescomputer science, engineering, mathematics, mathematical sciencesas well as for practicing professionals in these areas. The presentsoftcover reprintretainsthecorrectionsfromthesecond printing (2001) andmakesthis uniquetext available to a wider audience. The first chapter startswith a description of the key features and applications of wavelets, focusing on Haar's wavelets but using onlyhigh-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra. The second part of this book provides the foundations of least-squaresapproximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates h ow to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particularattention is paid to Daubechies wavelets. Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the cla ssroom as well as a valuable resource for self-study |
Note: | Springer eBooks |
Contents: | Preface |
Outline | |
A. Algorithms for Wavelet Transforms | |
Haar's Simple Wavelets | |
Multidimensional Wavelets and Applications | |
Algorithms for Daubechies Wavelets | |
B. Basic Fourier Analysis | |
Inner Products and Orthogonal Projections | |
Discrete and Fast Fourier Transforms | |
Fourier Series for Periodic Functions | |
C. Computation and Design of Wavelets | |
Fourier Transforms on the Line and in Space | |
Daubechies Wavelets Design | |
Signal Representations with Wavelets. D. Directories | |
Acknowledgements | |
Collection of Symbols | |
Bibliography | |
Index. | |
ISBN: | 9781461460060 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Computer science Mathematics , Computer engineering |
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Call number: | SPRINGER-2013-9781447153436:ONLINE Show nearby items on shelf |
Title: | Probability Models [electronic resource] |
Author(s): |
John Haigh |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance.Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applicationsinclude branching processes, random walks, Mark ov chains, queues, renewal theory, and Brownian motion. This popular second edition textbook contains many worked examples and several chapters have been updated and expanded. Somemathematical knowledge is assumed. The reader should have the ability to wo rk with unions, intersections and complements of sets a good facility with calculus, including integration, sequences and series and appreciation of thelogical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics |
Note: | Springer eBooks |
Contents: | Probability Spaces |
Conditional Probability and Independence | |
Common Probability Distributions | |
Random Variables | |
Sums of Random Variables | |
Convergence and Limit Theorems | |
Stochastic Processes in Discrete Time | |
Stochastic Processes in Continuous Time | |
Appendix: Common Distributions and Mathematical Facts | |
ISBN: | 9781447153436 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computer simulation , Distribution (Probability theory) , Operations research |
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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 |
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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-2013-9781441979100:ONLINE Show nearby items on shelf |
Title: | A Course in Topological Combinatorics [electronic resource] |
Author(s): |
Mark Longueville |
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: | A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years withgrowing applications i n math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant andthe connection between combinatorics and to pology often arises as an unexpected surprise. The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discretegeometry. The text contains a large number of figures that suppo rt the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. Theextensive appendix makes the book completely self-contained. The textbook is well sui ted for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but notnecessary. The text may be used as a basis for a one- or two-semester course as well as a supplementary text for a topology or combinatorics class |
Note: | Springer eBooks |
Contents: | Preface |
List of Symbols and Typical Notation | |
1 Fair | |
Division Problems | |
2 Graph | |
Coloring Problems | |
3 Evasiveness of Graph Properties | |
4 Embedding and Mapping Problems | |
A Basic Concepts from Graph Theory | |
B Crash Course in Topology | |
C Partially Ordered Sets, Order Complexes, and Their Topology | |
D Groups and Group Actions | |
E Some Results and Applications from Smith Theory | |
References | |
Index | |
ISBN: | 9781441979100 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Discrete groups |
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Call number: | SPRINGER-2012-9788847023970:ONLINE Show nearby items on shelf |
Title: | Algebra for Symbolic Computation [electronic resource] |
Author(s): |
Antonio Mach |
Date: | 2012 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book deals with several topics in algebra useful for computer science applications and the symbolic treatment of algebraic problems, pointing out and discussing their algorithmic nature. The topics covered range fromclassical results such as the Euclidean algorithm, the Chinese remainder theorem, and polynomial interpolation, to p-adic expansions of rational and algebraic numbers and rational functions, to reach the problem of the polynomialfactorisation, especially via Berlekamps method, and th e discrete Fourier transform. Basic algebra concepts are revised in a form suited for implementation on a computer algebra system |
Note: | Springer eBooks |
Contents: | The Euclidean algorithm, the Chinese remainder theorem and interpolation |
p | |
adic series expansion | |
The resultant | |
Factorisation of polynomials | |
The discrete Fourier transform | |
ISBN: | 9788847023970 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra |
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Call number: | SPRINGER-2012-9783642302930:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2012 |
Edition: | 3rd ed. 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. |
Note: | Springer eBooks |
Contents: | Preface |
Computing with Formulas | |
Loops and Lists | |
Functions and Branching | |
Input Data and Error Handling | |
Array Computing and Curve Plotting | |
Files, Strings and Dictionaries | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
Migrating Python to Compiled Code | |
Technical Topics | |
Bibliography | |
Index | |
ISBN: | 9783642302930 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2012-9783642245084:ONLINE Show nearby items on shelf |
Title: | Boolean Function Complexity [electronic resource] : Advances and Frontiers |
Author(s): |
Stasys Jukna |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower boundarguments, covering many o f the gems of this complexity Waterloo that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, arementioned along the way. The problems are mainly of combinat orial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers inthe fields of computer science and discrete mathematics |
Note: | Springer eBooks |
Contents: | Part I Basics |
Part II Communication Complexity | |
Part III Circuit Complexity | |
Part IV Bounded Depth Circuits | |
Part V Branching Programs | |
Part VI Fragments of Proof Complexity | |
A Epilog | |
B Mathematical Background | |
References | |
Index | |
ISBN: | 9783642245084 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Combinatorics, 0937-5511 : v27 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Information theory , Computer science , Combinatorics |
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Call number: | SPRINGER-2012-9783642229800:ONLINE Show nearby items on shelf |
Title: | Mathematical Aspects of Discontinuous Galerkin Methods [electronic resource] |
Author(s): |
Daniele Antonio Di Pietro Alexandre Ern |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It is to a large extent self-contained and is intended for graduatestudents and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs'systems. Both finite-element and finite-volum e viewpoints are utilized to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of thekey properties of the continuous problem are identified. The fram ework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed |
Note: | Springer eBooks |
Contents: | Basic concepts |
Steady advection | |
reaction | |
Unsteady first | |
order PDEs | |
PDEs with diffusion | |
Additional topics on pure diffusion | |
Incompressible flows | |
Friedhrichs' Systems | |
Implementation | |
ISBN: | 9783642229800 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathmatiques et Applications, 1154-483X : v69 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Numerical analysis , Engineering mathematics |
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Call number: | SPRINGER-2012-9783034804363:ONLINE Show nearby items on shelf |
Title: | Mathematical Optimization of Water Networks [electronic resource] |
Author(s): |
Alexander Martin Kathrin Klamroth Jens Lang Gnter Leugering Antonio Morsi Martin Oberlack Manfred Ostrowski Roland Rosen |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particularrainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. Thenetworks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex modelsystems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades usually with verylimited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has beencarried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and di rect connection to the practice of water management has been established by involving application-orientedknow-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamictransportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project Discret-continuous o ptimization of dynamic water systems of the federalministry of education and research (BMBF) |
Note: | Springer eBooks |
Contents: | Part I Optimization of Water Supply Networks |
Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems | |
Simulation and Continuous Optimization | |
Mixed Integer Optimizationof Water Supply Networks | |
Nonlinear and Mixed Integer Linear Programming | |
Part II Optimal Control of Sewer Networks | |
Optimal Control of Sewer Networks Problem Description | |
Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows | |
Optimal Control of Sewer Networks Engineers View | |
Real | |
Time Control of Urban Drainage Systems | |
Performance | |
ISBN: | 9783034804363 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v162 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2012-9783034804059:ONLINE Show nearby items on shelf |
Title: | Associahedra, Tamari Lattices and Related Structures [electronic resource] : Tamari Memorial Festschrift |
Author(s): |
Folkert Mller-Hoissen Jean Marcel Pallo Jim Stasheff |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. Thiswas the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematicalwork. Tamari lattices ca n be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure andapplied mathematics, such as algebra, combinator ics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari'scentennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers inmathematics and mathematical physics and are accompanied by high quality illustrations |
Note: | Springer eBooks |
ISBN: | 9783034804059 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematics : v299 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Discrete groups , Number theory , Algebraic topology |
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Call number: | SPRINGER-2012-9781461442110:ONLINE Show nearby items on shelf |
Title: | Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexity [electronic resource] |
Author(s): |
Ivan V Sergienko |
Date: | 2012 |
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: | This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development ofapproaches to mathematical theories, methodologies,methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology, genetics, environmental protection, hardware and software engineering, information protection, decisionmaking, pattern recognition, self-adapting cont rol of complicated objects, personnel training, etc. The methods developed include sequential analysis of variants, nondifferential optimization, stochastic optimization, discreteoptimization, mathematical modeling, econometric modeling, solution of extre mum problems on graphs, construction of discrete images and combinatorial recognition, etc. Some of these methods became well known in the world's mathematicalcommunity and are now known as classic methods |
Note: | Springer eBooks |
Contents: | Preface |
1. Science Was the Meaning of His Life | |
2. Optimization Methods and Their Efficient Use | |
3.Mathematical Modeling and Analysis of Complex Processes on Supercomputer Systems | |
4. Problems of Modeling and Analysis of Processes in Economic Cybernetics | |
5. Problems of Solving Complicated Combinatorial Problems | |
Afterward | |
References | |
Index | |
ISBN: | 9781461442110 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v72 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Computer vision , Mathematical optimization |
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Call number: | SPRINGER-2012-9781461434337:ONLINE Show nearby items on shelf |
Title: | Topics in Numerical Methods for Finance [electronic resource] |
Author(s): |
Mark Cummins Finbarr Murphy John J.H Miller |
Date: | 2012 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Presenting state-of-the-art methods in the area, the book begins with a presentation of weak discrete time approximations of jump-diffusion stochastic differential equations for derivatives pricing and risk measurement. Using amoving least squares re construction, a numerical approach is then developed that allows for the construction of arbitrage-free surfaces. Free boundary problems are considered next, with particular focus on stochastic impulse controlproblems that arise when the cost of control i ncludes a fixed cost, common in financial applications. The text proceeds with the development of a fear index based on equity option surfaces, allowing for the measurement of overall fearlevels in the market. The problem of American option pricing is con sidered next, applying simulation methods combined with regression techniques and discussing convergence properties. Changing focus to integral transform methods, avariety of option pricing problems are considered. The COS method is practically applied fo r the pricing of options under uncertain volatility, a method developed by the authors that relies on the dynamic programming principle andFourier cosine series expansions. Efficient approximation methods are next developed for the application of the fast Fourier transform for option pricing under multifactor affine models with stochastic volatility and jumps. Followingthis, fast and accurate pricing techniques are showcased for the pricing of credit derivative contracts with discrete monitoring based on the Wiener-Hopf factorisation. With an energy theme, a recombining pentanomial lattice isdeveloped for the pricing of gas swing contracts under regime switching dynamics. The book concludes with a linear and nonlinear review of the arbitrage-free parity t heory for the CDS and bond markets |
Note: | Springer eBooks |
Contents: | On Weak Predictor |
Corrector Schemes for Jump | |
Diffusion Processes in Finance | |
Moving Least Squares for Arbitrage | |
Free Price and Volatility Surfaces | |
Solving Impulse Control Problems with Control Delays | |
FIX: The Fear Index ? Measuring Market Fear | |
American Option Pricing using Simulation and Regression: Numerical Convergence Results | |
The COS Method for Pricing Options under Uncertain Volatility | |
Fast Fourier Transform Option Pricing: Efficient Approximation Methods under Multi | |
Factor Stochastic Volatility and Jumps | |
Pricing Credit Derivatives in a Wiener | |
Hopf Framework | |
The Eval | |
ISBN: | 9781461434337 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v19 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Finance , Computer science Mathematics |
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Call number: | SPRINGER-2012-9781461404873:ONLINE Show nearby items on shelf |
Title: | Nonlinear Filtering and Optimal Phase Tracking [electronic resource] |
Author(s): |
Zeev Schuss |
Date: | 2012 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers an analytical rather than measure-theoretical approach to the derivation of the partial differential equations of nonlinear filtering theory. The basis for this approach is the discrete numerical scheme used inMonte-Carlo simulation s of stochastic differential equations and Wiener's associated path integral representation of the transition probability density.Furthermore, it presents analytical methods for constructing asymptoticapproximations to their solution and for synthesizing asymptotically optimal filters. It also offers a new approach to the phase tracking problem, based on optimizing the mean time to loss of lock. The bookis based on lecture notesfrom a one-semester special topics course on stochastic processes and their ap plications that the author taught many times to graduate students of mathematics, applied mathematics, physics, chemistry, computer science, electricalengineering, and other disciplines. The book contains exercises and worked-out examples aimed at illustr ating the methods of mathematical modeling and performance analysis of phase trackers |
Note: | Springer eBooks |
Contents: | Diffusion and Stochastic Differential Equations |
Euler's Simulation Scheme and Wiener's Measure | |
Nonlinear Filtering and Smoothing of Diffusions | |
Small Noise Analysis of Zakai's Equation | |
Loss of Lock in Phase Trackers | |
Loss of Lock in RADAR and Synchronization | |
Phase Tracking with Optimal Lock Time | |
Bibliography | |
Index | |
ISBN: | 9781461404873 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v180 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Distribution (Probability theory) |
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Call number: | SPRINGER-2012-9780817682866:ONLINE Show nearby items on shelf |
Title: | A Beginner's Guide to Discrete Mathematics [electronic resource] |
Author(s): |
W.D Wallis |
Date: | 2012 |
Edition: | Second Edition |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also tointroduce students to imp ortant modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. Choice (Review of the First Edition) Very appropriately entitled as a 'beginner's guide',this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. Zentralblatt MATH (Review of the First Edition) This second edition of A BeginnersGuide to Discrete Mathematicspresents a detailedguide to discrete mathematicsand its relationship to other mathematical subjects includingset theory, probability, cryptography, graph theory, and number theory.Thistextbookhas a distinctly applied orientation and explores a variety of applications. Key features of the second edition: * Includesa new chapter on the theory of voting as well asnumerous new examples and exercises throughout thebook * Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers * Provides exam ples, which then lead into easy practice problems throughout the text, and fullexercises at the end of each chapter *Full solutions for practice problems are provided at the end of the book This text is intended for undergraduates in mathematics and compu ter science, however, featured special topics andapplications may also interest graduate students |
Note: | Springer eBooks |
Contents: | Properties of Numbers |
Sets and Data Structures | |
Boolean Algebras and Circuits | |
Relations and Functions | |
The Theory of Counting | |
Probability | |
Graph Theory | |
Matrices | |
Number Theory and Cryptography | |
The Theory of Voting | |
Solutions to Practic Exercises | |
Answers to Selected Exercises | |
Index | |
ISBN: | 9780817682866 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Combinatorics , Logic, Symbolic and mathematical , Mathematical statistics |
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Call number: | SPRINGER-2012-9780387886190:ONLINE Show nearby items on shelf |
Title: | Sensors: Theory, Algorithms, and Applications [electronic resource] |
Author(s): |
Vladimir L Boginski Clayton W Commander Panos M Pardalos Yinyu Ye |
Date: | 2012 |
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, technological advances have resulted in the rapid development of a new and exciting research direction the interdisciplinary use of sensors for data collection, systems analysis, and monitoring. These highlycalibrated sensors requir e precision engineering techniques that play an important role in analyzing and integrating large datasets. Sensor networks in particular represent a very active area of research, including work on problemssuch as sensor network localization andnetwork de sign. Application areas for sensors and sensor networks include environmental monitoring, military surveillance, computational neuroscience, seismic detection, and a great deal more. The fundamental problems of utilizing the collected data for efficient s ystem operation and decision making encompasses multiple research areas, including applied mathematics, optimization, signal/image processing, as well asemerging areas that require interdisciplinary techniques from several fields of research. Sensors: Th eory, Algorithms, and Applications brings together recent developments from researchers representing various fields fromengineering, mathematics, and computer science, along with application areas of biomedicine, transportation, and military systems. This volume is ideal for scientists, practitioners, and graduate students who are interested in theknowledge, ideas, and techniques involved in state-of-the-art sensor research |
Note: | Springer eBooks |
Contents: | Preface |
On Enhancing Fault Tolerance of Virtual Backbone in a Wireless Sensor Network with Unidirectional Links (R. Tiwari, M.T. Thai) | |
Constrained Node Placement and Assignment in Mobile Backbone Networks (E.M. Craparo) | |
Canonical Dual Solutions to Sum of Fourth | |
Order Polynomials Minimization Problems with Applications to Sensor Network Localization (D.Y. Gao, N. Ruan, P.M. Pardalos) | |
Optimal Estimation of Multidimensional Data with Limited Measurements (W. MacKunis, J. W. Curtis, P.E.K. Berg | |
Yuen) | |
Informational Patterns in Discrete | |
Time Linear | |
Quadratic Dynamic Games (M. Pachter, | |
ISBN: | 9780387886190 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v61 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algorithms , Mathematical optimization , Electronics , Telecommunication , Systems engineering |
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Call number: | SPRINGER-2011-9783642183669:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2011 |
Edition: | 2nd Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science |
Note: | Springer eBooks |
Contents: | Computing with Formulas |
Loops and Lists | |
Functions and Branching | |
Input Data and Error Handling | |
Array Computing and Curve Plotting | |
Files, Strings and Dictionaries | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
TechnicalTopics | |
Bibliography | |
Index | |
ISBN: | 9783642183669 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2011-9781441996343:ONLINE Show nearby items on shelf |
Title: | Probability for Statistics and Machine Learning [electronic resource] : Fundamentals and Advanced Topics |
Author(s): |
Anirban DasGupta |
Date: | 2011 |
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: | This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in anextremely accessible sty le, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in itsunification of probability and statistics, its cov erage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance. This book can be used as a text for a year longgraduate course in statistics, computer science, or mathematics, for self-stud y, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory,asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processe s, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayesestimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probabilit y |
Note: | Springer eBooks |
Contents: | Chapter 1. Review of Univariate Probability |
Chapter 2. Multivariate Discrete Distributions | |
Chapter 3. Multidimensional Densities | |
Chapter 4. Advance Distribution Theory | |
Chapter 5. Multivariate Normal and Related Distributions | |
Chapter 6. Finite Sample Theory of Order Statistics and Extremes | |
Chapter 7. Essential Asymptotics and Applications | |
Chapter 8. Characteristic Functions and Applications | |
Chapter 9. Asymptotics of Extremes and Order Statistics | |
Chapter 10. Markov Chains and Applications | |
Chapter 11. Random Walks | |
Chapter 12. Brownian Motion and Gaussian Processes | |
ISBN: | 9781441996343 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer simulation , Bioinformatics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2011-9781441980472:ONLINE Show nearby items on shelf |
Title: | Discrete Mathematics [electronic resource] |
Author(s): |
Jean Gallier |
Date: | 2011 |
Edition: | 1 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book gives an introduction to discrete mathematics for beginning undergraduates and starts with a chapter on the rules of mathematical reasoning. This book begins with a presentation of the rules of logic as used inmathematics where many exampl es of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book deals withfunctions and relations, directed and undirected graphs and an introduction to combinatorics, partial orders and complete induction. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theoremand the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory where Eulerian and Hamiltonian cycles are discussed. This book also includes networkflows, matchings, covering, bipartite graphs, planar graphs and state the graph minor theorem o f Seymour and Robertson. The book is highly illustrated and each chapter ends with a list of problems of varying difficulty.Undergraduates in mathematics and computer science will find this book useful. |
Note: | Springer eBooks |
Contents: | Mathematical Reasoning, Proof Principles and Logic |
Relations, Functions, Partial Functions | |
Graphs, Part I: Basic Notions | |
Some Counting Problems Multinomial Coefficients | |
Partial Orders, GCD's, RSA, Lattices | |
Graphs, Part II: More Advanced Notions | |
Answers to Selected Problems | |
ISBN: | 9781441980472 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Number theory , Engineering design |
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Call number: | SPRINGER-2011-9781441917720:ONLINE Show nearby items on shelf |
Title: | Introduction to Modeling and Analysis of Stochastic Systems [electronic resource] |
Author(s): |
V. G Kulkarni |
Date: | 2011 |
Edition: | 2 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is an introductory-level text on stochastic modeling. It is suited for undergraduate students in engineering, operations research, statistics, mathematics, actuarial science, business management, computer science, and publicpolicy. It employs a large number of examples to teach the students to use stochastic models of real-life systems to predict their performance, and use this analysis to design better systems. The book is devoted to the study ofimportant classes of stochastic processes: discre te and continuous time Markov processes, Poisson processes, renewal and regenerative processes, semi-Markov processes, queueing models, and diffusion processes. The book systematicallystudies the short-term and the long-term behavior, cost/reward models, and first passage times. All the material is illustrated with many examples, and case studies. The book provides a concise review of probability in the appendix.The book emphasizes numerical answers to the problems. A collection of MATLAB programs to acco mpany the this book can be downloaded from http://www.unc.edu/~vkulkarn/Maxim/maxim.zip. A graphical user interface to access the above filescan be downloaded from http://www.unc.edu/~vkulkarn/Maxim/maximgui.zip . The second edition incorporates several c hanges. First its title reflects the changes in content: the chapters on design and control have been removed. The booknow contains several case studies that teach the design principles. Two new chapters have been added. The new chapter on Poisson process es gives more attention to this important class of stochastic processes than the first edition did.The new chapter on Brownian motion reflects its increasing importance as an appropriate model for a variety of real-life situations, including finance. V. G . Kulkarni is Professor in the Department of Statistics and Operations Researchin the University of North Carolina, Chapel Hill. He has authored a graduate-level text Modeling and Analysis of Stochastic |
Note: | Springer eBooks |
Contents: | Introduction |
Discrete | |
Time Markov Models | |
Poisson Processes | |
Continuous | |
Time Markov Models | |
Generalized Markov Models | |
Queueing Models | |
Brownian Motion | |
ISBN: | 9781441917720 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Distribution (Probability theory) |
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Call number: | SPRINGER-2011-9780817647896:ONLINE Show nearby items on shelf |
Title: | Structural Analysis of Complex Networks [electronic resource] |
Author(s): |
Matthias Dehmer |
Date: | 2011 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Because of the increasing complexity and growth of real-world networks, their analysis by using classical graph-theoretic methods is oftentimes a difficult procedure. As a result, there is a strong need to combine graph-theoreticmethods with mathemat ical techniques from other scientific disciplines, such as machine learning and information theory, in order to analyze complex networks more adequately. Filling a gap in literature, this self-contained bookpresents theoretical and application-oriented re sults to structurally explore complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a toolfor solving interdisciplinary problems. Special emphasis is given to m ethods related to the following areas: * Applications to biology, chemistry, linguistics, and data analysis * Graph colorings * Graph polynomials * Informationmeasures for graphs * Metrical properties of graphs * Partitions and decompositions * Quantitati ve graph measures Structural Analysis of Complex Networks is suitable for a broad, interdisciplinary readership of researchers,practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelli gence, computational and systems biology, cognitive science, computational linguistics, and mathematicalchemistry. The book may be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods |
Note: | Springer eBooks |
Contents: | Preface |
A Brief Introduction to Complex Networks and Their Analysis | |
Partitions of Graphs | |
Distance in Graphs | |
Domination in Graphs | |
Spectrum and Entropy for Infinite Directed Graphs | |
Application of Infinite Labeled Graphs to Symbolic Dynamical Systems | |
Decompositions and Factorizations of Complete Graphs | |
Geodetic Sets in Graphs | |
Graph Polynomials and Their Applications I: The Tutte Polynomial | |
Graph Polynomials and Their Applications II: Interrelations and Interpretations | |
Reconstruction Problems for Graphs, Krawtchouk Polynomials, and Diophantine Equations | |
Subgraph | |
ISBN: | 9780817647896 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer Communication Networks , Computational complexity , Data mining , Bioinformatics , Combinatorics |
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Call number: | SPRINGER-2010-9783642135804:ONLINE Show nearby items on shelf |
Title: | Fete of Combinatorics and Computer Science [electronic resource] |
Author(s): |
Gyula O. H Katona Alexander Schrijver Tams Sznyi Gbor Sgi |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Discrete Mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scientific disciplines. Both fields deeply cross fertilize each other. One of thepersons who particularly co ntributed to building bridges between these and many other areas is Lszl Lovsz, whose outstanding scientific work has defined and shaped many research directions in the past 40 years. A number offriends and colleagues, all top authorities in their fields of expertise gathered at the two conferences in August 2008 in Hungary, celebrating Lovsz' 60th birthday. It was a real fete of combinatorics and computer science. Some ofthese plenary speakers submitted their research or survey papers prior to the confer ences. These are included in the volume Building Bridges. The other speakers were able to finish their contribution only later, these are collectedin the present volume |
Note: | Springer eBooks |
Contents: | High Degree Graphs Contain Large |
Star Factors | |
Iterated Triangle Partitions | |
PageRank and Random Walks on Graphs | |
Solution of Peter Winklers Pizza Problem* | |
Tight Bounds for Embedding Bounded Degree Trees | |
Betti Numbers are Testable* | |
Rigid and Globally Rigid Graphs with Pinned Vertices | |
Noise Sensitivity and Chaos in Social Choice Theory | |
Coloring Uniform Hypergraphs with Small Edge Degrees | |
Extremal Graphs and Multigraphs with Two Weighted Colours | |
Regularity Lemmas for Graphs | |
Edge Coloring Models as Singular Vertex Coloring Models | |
List Total Weighting of Grap | |
ISBN: | 9783642135804 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Bolyai Society Mathematical Studies, 1217-4696 : v20 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computational complexity , Combinatorics , Number theory |
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Call number: | SPRINGER-2010-9783642129711:ONLINE Show nearby items on shelf |
Title: | Triangulations [electronic resource] : Structures for Algorithms and Applications |
Author(s): |
Jess A Loera Jrg Rambau Francisco Santos |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensivetreatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulationsor finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly fivehundred illustrations, the book gently guides readers through the prope rties of the spaces of triangulations of structured (e.g., cubes, cyclic polytopes, lattice polytopes) and pathological (e.g., disconnected spaces oftriangulations) situations using only elementary principles |
Note: | Springer eBooks |
Contents: | 1 Triangulations in Mathematics |
2 Configurations, Triangulations, Subdivisions, and Flips | |
3 Life in two Dimensions | |
4 A Tool Box | |
5 Regular Triangulations and Secondary Polytopes | |
6 Some Interesting Configurations | |
7 Some Interesting Triangulations | |
8 Algorithmic Issues | |
9 Further Topics | |
Bibliography | |
Index | |
ISBN: | 9783642129711 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Computation in Mathematics, 1431-1550 : v25 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computer science Mathematics , Algorithms , Combinatorics , Discrete groups |
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Call number: | SPRINGER-2010-9783642040849:ONLINE Show nearby items on shelf |
Title: | Permutation Complexity in Dynamical Systems [electronic resource] : Ordinal Patterns, Permutation Entropy and All That |
Author(s): |
Jos Amig |
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 study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamicalsystems. Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the statespace. Indeed, on one hand ordinal patterns and peri odic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not. Another interesting feature is that since it can be shown thatrandom (unconstrained) dynamics has no forbidden patterns with probability one , their existence can be used as a fingerprint to identify any deterministic origin of orbit generation. This book is primarily addressed to researchersworking in the field of nonlinear dynamics and complex systems, yet will also be suitable for graduate students interested in these subjects. The presentation is a compromise between mathematical rigor and pedagogical approach.Accordingly, some of the more mathematical background needed for more in depth understanding has been shifted into the appendices |
Note: | Springer eBooks |
Contents: | What is This all About? |
First Applications | |
Ordinal Patterns | |
Ordinal Structure of the Shifts | |
Ordinal Structure of the Signed Shifts | |
Metric Permutation Entropy | |
Topological Permutation Entropy | |
Discrete Entropy | |
Detection of Determinism | |
Space | |
Time Dynamics | |
Conclusion and Outlook | |
ISBN: | 9783642040849 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Synergetics, 0172-7389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Data structures (Computer science) , Mathematics , Mathematical physics |
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Call number: | SPRINGER-2010-9781441971654:ONLINE Show nearby items on shelf |
Title: | Applied Probability [electronic resource] |
Author(s): |
Kenneth Lange |
Date: | 2010 |
Edition: | Second |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduatestudents in applied ma thematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, andelementary probability theory. Chapter 1 revi ews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilisticapplications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented withappropriate sections from Chapters 1 and 2, there is sufficient material for a traditional se mester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, anddiffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besidesthe two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion ofbasic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientist s from a variety of backgrounds will find Applied Probability useful as areference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Gene |
Note: | Springer eBooks |
Contents: | Basic Notions of Probability Theory |
Calculation of Expectations | |
Convexity, Optimization, and Inequalities | |
Combinatorics | |
Combinatorial Optimization | |
Poisson Processes | |
Discrete | |
Time Markov Chains | |
Continuous | |
Time Markov Chains | |
Branching Processes | |
Martingales | |
Diffusion Processes | |
Asymptotic Methods | |
Numerical Methods | |
Poisson Approximation | |
Number Theory | |
Appendix: Mathematical Review | |
ISBN: | 9781441971654 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X : v0 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Computer simulation , Biology Mathematics , Computer science Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2010-9781441911636:ONLINE Show nearby items on shelf |
Title: | Differential Equations: Theory and Applications [electronic resource] |
Author(s): |
David Betounes |
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: | The book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examplesand computer graphics, b ut also has a complete collection of proofs for the major theorems, ranging from the usual existence and uniqueness results to the Hartman-Grobman linearization theorem and the Jordan canonical form theorem. Thebook can be used almost exclusively in the t raditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason anextensive computer component using Maple is provided on Springers websi te. This new edition has been extensively revised throughout, particularly the chapters on linear systems, stability theory and Hamiltonian systems. The computercomponent is an in-depth supplement and complement to the material in the text and contains an introduction to discrete dynamical systems and iterated maps, special-purpose Maple code for animating phase portraits, stair diagrams,N-body motions, and rigid-body motions, and numerous tutorial Maple worksheets pertaining to all aspects of using Maple to study the topics in the text. Review from first edition: This book is intended for first- and second- yeargraduate students in mathematics and also organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering. .. . The book is well written and provides many interesting examples. The author gives acomprehensive introduction to the theory on ordinary differential equations with a focus on mechanics and dynamical systems. The exposition is clear and easily understood .... (Yuan Rong, Zentralblatt MATH, Vol. 993 (18), 2002) |
Note: | Springer eBooks |
Contents: | Introduction |
Techniques, Concepts and Examples | |
Existence and Uniqueness: The Flow Map | |
Linear Systems | |
Linearization and Transformation | |
Stability Theory | |
Integrable Systems | |
Newtonian Mechanics | |
Hamiltonian Systems | |
Appendix A: Elementary Analysis | |
Appendix B: Lipschitz Maps and Linearization | |
Appendix C: Linear Algebra | |
Appendix D: Electronic Contents | |
ISBN: | 9781441911636 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Numerical analysis , Mathematical physics |
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Call number: | SPRINGER-2010-9781441909992:ONLINE Show nearby items on shelf |
Title: | Nonlinear Computational Geometry [electronic resource] |
Author(s): |
Ioannis Z Emiris Frank Sottile Thorsten Theobald |
Date: | 2010 |
Edition: | 1 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design andmolecular biology, t ogether with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods fromalgebraic geometry with proven techniques fro m piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized underthe term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts inthis emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometricmodeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely th eoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of theIMA workshop |
Note: | Springer eBooks |
Contents: | Spectral Techniques to Explore Point Clouds in Euclidean Space, with Applications to Collective Coordinates in Structural Biology |
Rational Parametrizations, Intersection Theory, and Newton Polytopes | |
Some Discrete Properties of the Space of Line Transversals to Disjoint Balls | |
Algebraic Geometry and Kinematics | |
Rational Offset Surfaces and their Modeling Applications | |
A List of Challenges for Real Algebraic Plane Curve Visualization Software | |
A Subdivision Method for Arrangement Computation of Semi | |
Algebraic Curves | |
Invariant | |
Based Characterization of the Relative Position of Tw | |
ISBN: | 9781441909992 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | The IMA Volumes in Mathematics and its Applications, 0940-6573 : v151 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Algebra , Computer science Mathematics , Geometry |
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Call number: | SPRINGER-2010-9780817649807:ONLINE Show nearby items on shelf |
Title: | Functions, Spaces, and Expansions [electronic resource] : Mathematical Tools in Physics and Engineering |
Author(s): |
Ole Christensen |
Date: | 2010 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosenbecause it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental toexploring the computational aspects of physics and en gineering. A central theme of the book is the structure of various vector spacesmost importantly, Hilbert spacesand expansions of elements in these spaces in terms of bases.Key topics and features include: * More than 150 exercises * Abstract and normed v ector spaces * Approximation in normed vector spaces * Hilbert and Banach spaces * General bases and orthonormal bases * Linear operators on variousnormed spaces * The Fourier transform, including the discrete Fourier transform * Wavelets and multiresolut ion analysis * B-splines * SturmLiouville problems As a textbook that provides a deep understanding of central issues inmathematical analysis, Functions, Spaces, and Expansions is intended for graduate students, researchers, and practitioners in applied m athematics, physics, and engineering. Readers are expected to have a solid understanding of linearalgebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite seri es of real or complex numbers, is also required. Functions, Spaces, andExpansions is the main textbook for the e-course Mathematics 4: Real Analysis currently being taught at the Technical University of Denmark. Please click the Course Materials link on t he right to access videos of the lectures,problem sheets, and solutions to selected exercises |
Note: | Springer eBooks |
Contents: | Preface |
Prologue | |
Mathematical Background | |
Normed Vector Spaces | |
Banach Spaces | |
Hilbert Spaces | |
The L^p | |
spaces | |
The Hilbert Space L^2 | |
The Fourier Transform | |
An Introduction to Wavelet Analysis | |
A Closer Look on Multiresolution Analysis | |
B | |
splines | |
Special Functions | |
Appendix A | |
Appendix B | |
List of Symbols | |
References | |
Index | |
ISBN: | 9780817649807 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Functional analysis , Functions, special , Computer science , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2010-9780387927121:ONLINE Show nearby items on shelf |
Title: | The Mathematics of Medical Imaging [electronic resource] A Beginners Guide |
Author(s): |
Timothy G Feeman |
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: | A Beginner's Guide to the Mathematics of Medical Imaging presents the basic mathematics of computerized tomography the CT scan for an audience of undergraduates in mathematics and engineering. Assuming no prior backgroundin advanced mathematical an alysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on magneticresonance imaging focuses on manipulation of the Bloch equation, the system of differential equations that is the foundation of this important technology. The text is self-contained with a range of practical exercises, topics forfurther study, and an ample bibliography, making it ideal for use in an undergrad uate course in applied or engineering mathematics, or by practitioners in radiology who want to know more about the mathematical foundations of theirfield |
Note: | Springer eBooks |
Contents: | Preface |
X | |
Rays | |
Lines and Line Integrals | |
The Radon Transform | |
Back Projection | |
Complex Numbers | |
The Fourier Transform | |
Two Big Theorems | |
Filters and Convolution | |
Discrete Image Reconstruction | |
Sampling | |
Algebraic Reconstruction Techniques | |
ISBN: | 9780387927121 |
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 , Radiology, Medical , Computer science , Computer vision , Functional analysis , Integral Transforms , Biomedical engineering |
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Call number: | SPRINGER-2009-9789048123315:ONLINE Show nearby items on shelf |
Title: | Nonlinear Solid Mechanics [electronic resource] |
Author(s): |
Adnan Ibrahimbegovic |
Date: | 2009 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume provides insight into modelling and ultimate limit computation of complex structures, with their components represented by solid deformable bodies. The book examines practically all the important questions of currentinterests for nonlinea r solid mechanics: plasticity, damage, large deformations, contact, dynamics, instability, localisation and failure, discrete models, multi-scale, multi-physics and parallel computing, with special attention givento finite element solution methods. The pr esentation of topics is structured around different aspects of typical boundary value problems in nonlinear solid mechanics, which provides the best pedagogical approach while keeping the booksize reasonable despite its very broad contents. Other strong p oints are the exhaustive treatment of subjects, with each question studied from different angles of mechanics, mathematics and computation, as well as a successful mergerof scientific cultures and heritage from Europe and the USA. The book content and sty le is also the product of rich international experience in teaching Master and Doctoral level courses, as well as the courses organized forparticipants from industry (IPSI courses) in France, and similar courses in Germany and Italy. Every effort was made to make the contents accessible to non-specialists and users of computer programs. The original French editionpublished by Hermes Science - Lavoisier Paris in 2006 was nominated for the Roberval Award for University Textbooks in French |
Note: | Springer eBooks |
Contents: | Boundary value problem in linear and nonlinear elasticity |
Inelastic behavior at small strains | |
Large displacements and deformations | |
Changing boundary conditions: contact problems | |
Dynamics and time | |
integration schemes | |
Thermodynamics and solution methods for coupled problems | |
Geometric and material instabilities | |
Multi | |
scale modelling of inelastic behavior | |
ISBN: | 9789048123315 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Solid Mechanics and its Applications, 0925-0042 : v160 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Mathematical optimization , Engineering , Materials |
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Call number: | SPRINGER-2009-9783540893325:ONLINE Show nearby items on shelf |
Title: | Basics of Applied Stochastic Processes [electronic resource] |
Author(s): |
Richard Serfozo |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerativeprocesses, Poisson proce sses, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of largenumbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerativeincrements. Extensive examples and exercises show how to formulate stochasti c models of systems as functions of a systems data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochasticnetworks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brown ian approximations, and varied Markovian models. The technical level of the volume is between that of introductory texts that focus onhighlights of applied stochastic processes, and advanced texts that focus on theoretical aspects of processes. Intended r eaders are researchers and graduate students in mathematics, statistics, operations research, computer science,engineering, and business |
Note: | Springer eBooks |
Contents: | 1. Markov Chains |
2. Renewal and Regenerative Processes | |
3. Poisson Processes | |
4. Continuous | |
Time Markov Chains | |
5. Brownian Motion | |
6. Appendix | |
References | |
Notation | |
Index | |
ISBN: | 9783540893325 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Probability and Its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) |
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