Fermilab Fermilab Core Computing Division

Library Home |  Ask a Librarian library@fnal.gov |  Book Catalog |  Library Journals |  Requests |  SPIRES |  Fermilab Documents |

Fermilab Library
SPIRES-BOOKS: FIND KEYWORD MECHANICS,APPLIED,PROBLEMS,EXERCISES *END*INIT* use /tmp/qspiwww.webspi1/4982.10 QRY 131.225.70.96 . find keyword mechanics,applied,problems,exercises ( in books using www Cover Image
Call number:TA350.B35523::1977 Show nearby items on shelf
Title:Solutions Manual to Accompany Vector Mechanics for Engineers : Dynamics
Author(s): Ferdinand Pierre Beer 1915-
E. Russell (Elwood Russell) Johnston 1925-
Date:1977
Publisher:McGraw - Hill
Note:3rd. ed.
ISBN:0070042829
Keywords: Mechanics, Applied , Vector Analysis , Mechanics, Applied - Problems, Exercises, etc. , Dynamics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
Location: MAIN

Cover
Image
Call number:TA350.B3552::1988 Show nearby items on shelf
Title:Vector mechanics for engineers: Dynamics
Author(s): Ferdinand P. Beer
E. Russell Johnston
Date:1988
Edition:5th ed.
Publisher:New York : McGraw-Hill
Size:459-1047 p
Note:part two of Vector mechanics for engineers
Contents:Kinematics of particles -- Kinetics of particles: Newton's second law -- Kinetics of particles: energy and momentum methods -- Systems of particles -- Kinematics of rigid bodies -- Plane motion of rigid bodies: forces and accelerations -- Plane moti on of rigid bodies: energy and momentum methods -- Kinetics of rigid bodies in three dimensions -- Mechanical vibrations -- Some useful definitions and properties of Vector algebra -- Moments of inertia of masses.
ISBN:9780070799264
Keywords: Mechanics, Applied. , Vector analysis , Mechanics, Applied, Problems, exercises
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Location: MAIN

Cover Image
Call number:TA350.B3552::1977 Show nearby items on shelf
Title:Vector Mechanics for Engineers: Statics and Dynamics
Author(s): Ferdinand Pierre Beer 1915-
E. Russell Johnston 1925-
Date:1977
Publisher:McGraw - Hill
Note:3rd. ed.
ISBN:0070042772
Keywords: Mechanics, Applied , Vector Analysis , Mechanics, Applied - Problems, Exercises, etc.
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
Location: MAIN

Cover
Image
Call number:SPRINGER-2014-9783319053110:ONLINE Show nearby items on shelf
Title:Inequalities [electronic resource] : With Applications to Engineering
Author(s): Michael J Cloud
Byron C Drachman
Leonid P Lebedev
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra andcalculusandproceeds with a present ation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, andinner product spaces. It also provides full coverage of th e central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hlder's inequality, Minkowski's inequality, the CauchySchwarzinequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The sec ond edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additionalexamples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate stu dents, as well asresearchers in engineering, mathematics, physics, chemistry, or any other quantitative science
Contents:Preface
1. Basic Review and Elementary Facts
2. Methods from the Calculus
3. Some Standard Inequalities
4. Inequalities in Abstract Spaces
5. Some Applications
6. Inequalities for Differential Equations
7. Brief Introduction to Interval Analysis
Hints for Selected Problems
References
Appendix
ISBN:9783319053110
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461458685:ONLINE Show nearby items on shelf
Title:Functional Analysis in Mechanics [electronic resource]
Author(s): Leonid P Lebedev
Iosif I Vorovich
Michael J Cloud
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 offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract butpowerful mathematical not ions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical andabstract portions of functional analysis. Taken togethe r, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exerciseswith hints and solutions. A new appendix, providing a convenient listing of e ssential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, andapplied mathematics. Reviews of first edition: This book covers functional analysis and its application s to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics whowish to understand the mathematical underpinnings of the discipline. . . . Detailed solutions of the exercises are provided in an app endix. (LEnseignment Mathematique, Vol. 49 (1-2), 2003) The reader comes away with aprofound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood.Numerous exercises. . .test the readers comprehension at every stage. Summing Up: Recommended. (F. E. J. Linton, Choice, September, 2003)
Note:Springer eBooks
Contents:Introduction
Metric, Banach, and Hilbert Spaces
Mechanics Problems from the Functional Analysis Viewpoint
Some Spectral Problems of Mechanics
Elements of Nonlinear Functional Analysis
Summary of Inequalities and Imbeddings
Hints for Selected Problems
References
In Memoriam: Iosif I. Vorovich
Index
ISBN:9781461458685
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Mechanics , Materials
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781447148203:ONLINE Show nearby items on shelf
Title:Functional Analysis, Calculus of Variations and Optimal Control [electronic resource]
Author(s): Francis Clarke
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such asnonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis andincludes many novel elements as well as the stan dard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. Theauthor provides a comprehensive course on these subjects, from their inc eption through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximumprinciple, which appear here for the first time in a textbook. Other major themes include existen ce and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscositysolutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They a lso touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering.Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or secon d-year graduate level, on functional analysis, on the calculus of variations and optimalcontrol, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its ad vanced results in the calculus of variations and optimal control,its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth a
Note:Springer eBooks
Contents:Normed Spaces
Convex sets and functions
Weak topologies
Convex analysis
Banach spaces
Lebesgue spaces
Hilbert spaces
Additional exercises for Part I
Optimization and multipliers
Generalized gradients
Proximal analysis
Invariance and monotonicity
Additional exercises for Part II
The classical theory
Nonsmooth extremals
Absolutely continuous solutions
The multiplier rule
Nonsmooth Lagrangians
Hamilton
Jacobi methods
Additional exercises for Part III
Multiple integrals
Necessary conditions
Existence and regularity
Inductive meth
ISBN:9781447148203
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v264
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Systems theory , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783642273056:ONLINE Show nearby items on shelf
Title:Complex Hamiltonian Dynamics [electronic resource]
Author(s): Tassos Bountis
Haris Skokos
Date: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:This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion.The role of nonlinear n ormal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena anddistinguish order from strongly and weakly chaoti c regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored inparticular in the concrete setting of one-dimensional Hamiltonian lat tices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematicalrigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the readers insights into specific aspects of the subject matter. Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the b enefits of a reference work with those of a self-study guide for newcomers to the field
Note:Springer eBooks
Contents:Hamiltonian Systems of Few Degrees of Freedom
Equilibrium Points, Periodic Orbits and Local Stability
Efficient Indicators of Stable and Chaotic Motion
FPU Recurrences and the Transition from Weak to Strong Chaos
Localization and Diffusion in Nonlinear 1
Dimensional Lattices
The Statistical Mechanics of Quasi
Stationary States
Conclusion, Open Problems and Future Outlook
ISBN:9783642273056
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389 : v10
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics , Engineering
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817682651:ONLINE Show nearby items on shelf
Title:Nonlinear Partial Differential Equations for Scientists and Engineers [electronic resource]
Author(s): Lokenath Debnath
Date:2012
Edition:Third Edition
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:An exceptionally complete overview of the latest developments in the field of PDEs. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something foreveryone here. Applied Mec hanics Review (Review of First Edition) Overall, it is a useful book for teaching, a rich source of examples, and I am happy to have it on a shelf of my library. UK Nonlinear News (Review of SecondEdition) The revised and enlarged third edition of this su ccessful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their various current applications. In an effort tomake the book more useful for a diverse readership, updated modern examples of ap plicationshave beenchosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics,acoustics, and wave propagation. The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Kortewegde Vries, CamassaHolm, DegasperisProcesi,EulerPoincar, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear KleinGordon, sine-Gordon, nonlinear Schrdinger, nonlinear reaction-diffusion, and E ulerLagrange equations. Other topics and key featuresinclude: * Improved presentations of results, solution methods, and proofs. * Solitons, gravity-capillary solitary waves, and the Inverse Scattering Transform. * Special emphasis on compactons, intrinsi c localized modes, andnonlinear instability of dispersive waves with applications to water waves and wave breaking phenomena. * New section on the Lorenz nonlinear system, the Lorenz attractor, and deterministic chaos, and new examples of nonlinearquasi-h armonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 worked-out examples and end-of-chapter exercises with expa
Note:Springer eBooks
Contents:Preface to the Third Edition
Preface
Linear Partial Differential Equations
Nonlinear Model Equations and Variational Principles
First
Order, Quasi
Linear Equations and Method of Characteristics
First
Order Nonlinear Equations and Their Applications
Conservation Laws and Shock Waves
Kinematic Waves and Real
World Nonlinear Problems
Nonlinear Dispersive Waves and Whitham's Equations
Nonlinear Diffusion
Reaction Phenomena
Solitons and the Inverse Scattering Transform
The Nonlinear Schroedinger Equation and Solitary Waves
Nonlinear Klein
Gordon and Sine
Gordon
ISBN:9780817682651
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817649449:ONLINE Show nearby items on shelf
Title:Stochastic Models, Information Theory, and Lie Groups, Volume 2 [electronic resource] : Analytic Methods and Modern Applications
Author(s): Gregory S Chirikjian
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stu died by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical p henomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 2: * The author reviews the concept ofandfunctions and integration onLie groups with many concrete examples. * Extensive exercises andmotivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes on Lie groups or geometric aspects of probability and statistics. *Specific application areas are explored,including biomolecular statistical mechanics and information-driven motion in robotics. * The concrete presentation style makes it easy for readers to obtain numeri cal solutions for their own problems the emphasis is on how tocalculate quantities rather than how to prove theorems. * Modern problems at the interface of mechanics, control theory, and communications are handled in a unified framework and multiple direc tions for future research are explored.Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practition
Note:Springer eBooks
Contents:Lie Groups I: Introduction and Examples
Lie Groups II: Differential Geometric Properties
Lie Groups III: Integration, Convolution, and Fourier Analysis
Variational Calculus on Lie Groups
Statistical Mechanics and Ergodic Theory
Parts Entropy and the Principal Kinematic Formula
Estimation and Multivariate Analysis in R^n
Information, Communication, and Group Therapy
Algebraic and Geometric Coding Theory
Information Theory on Lie Groups
Stochastic Processes on Lie Groups
Locomotion and Perception as Communication over Principal Fiber Bundles and A Survey of Addi
ISBN:9780817649449
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Global differential geometry , Distribution (Probability theory) , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9783642053702:ONLINE Show nearby items on shelf
Title:Mechanics [electronic resource] : From Newton's Laws to Deterministic Chaos
Author(s): Florian Scheck
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks toinclude dynamical system s and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.Symmetries and invariance principles, the basic ge ometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equationsof motion follow, to understand the importance of canonical mechanics an d of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches ofphysics. The book contains more than 120 problems with complete solutions, as well as some practica l examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook toaccompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
Note:Springer eBooks
Contents:Elementary Newtonian Mechanics
The Principles of Canonical Mechanics
The Mechanics of Rigid Bodies
Relativistic Mechanics
Geometric Aspects of Mechanics
Stability and Chaos
Continuous Systems
Exercises
Solution of Exercises
ISBN:9783642053702
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9783642034343:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Systems of Particles and Hamiltonian Dynamics
Author(s): Walter Greiner
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles torealistic problems. The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrangeand Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics. The new edition is completely revised and updated.New exercises and new sections in canonical transformation and Ham iltonian theory have been added
Note:Springer eBooks
Contents:Part I. Newtonian mechanics in moving co
ordinate systems
Newton's Equations in a Rotating Coordinate System
Free fall on the rotating earth
Foucault's pendulum
Part II. Mechanics of Particle Systems
Degrees of Freedom
Centre of gravity. Mechanical fundamental quantities of systems of mass points
Part III. Vibrating systems
Vibrations of coupled mass points
The vibrating string
Fourier series
The vibrating membrane
Part IV. Mechanics of Rigid Bodies
Rotation about fixed axis
Rotation about a point. Theory of the top
Part V. Lagrange equations
Gen
ISBN:9783642034343
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9780817646752:ONLINE Show nearby items on shelf
Title:Distributions [electronic resource] : Theory and Applications
Author(s): J.J Duistermaat
J.A.C Kolk
Date:2010
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differentialequations and Fourier a nalysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. Throughout the book, methods are developed to deal with formal calculations involving functions, series,and integrals that cannot be mathematically justified within the classical framework. Key features: Many examples, exercises, hints, and solutions guide the reader throughout the text. Includes an introduction to distributions,differentiation, convergence, convolution, the Fourier transform, and spaces of distributions having special properties. Original proofs, which may be difficult to locate elsewhere, are given for many well-known results. TheFourier transform is transparently treated and applied to provide a new proof of the Kernel Theorem , which in turn is used to efficiently derive numerous important results. The systematic use of pullback and pushforward introducesconcise notation. Emphasizes the role of symmetry in obtaining short arguments and investigates distributions that are inv ariant under the actions of various groups of transformations. Distributions: Theory and Applications isaimed at advanced undergraduates and graduate students in mathematics, theoretical physics, and engineering, who will find this textbook a welcome intr oduction to the subject, requiring only a minimal mathematical background. The workmay also serve as an excellent self-study guide for researchers who use distributions in various fields
Note:Springer eBooks
Contents:Preface
Motivation
Test Functions
Distributions
Differentiation of Distributions
Convergence of Distributions
Taylor Expansion in Several Variables
Localization
Distributions with Compact Support
Multiplication by Functions
Transposition, Pullback and Push forward
Convolution of Distributions
Fundamental Solutions
Fractional Integration and Differentiation
Fourier Transformation
Fourier Series
Fundamental Solutions and Fourier Transformation
Supports and Fourier Transformation
Sobolev Spaces
Appendix: Results from Measure Theory in the C
ISBN:9780817646752
Series:e-books
Series:SpringerLink (Online service)
Series:Cornerstones
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Differential Equations , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9780387709147:ONLINE Show nearby items on shelf
Title:Functional Analysis, Sobolev Spaces and Partial Differential Equations [electronic resource]
Author(s): Haim Brezis
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:Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct worlds, functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have agood background in real analys is. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there aremany books on functional analysis and many on PDEs , this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research.This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important Analyse Fonctionnelle (1983). Since the French book was firstpublished, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chin ese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operatortheory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specifi c differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theoryof PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs wh ich arise, for example, in differential geometry, harmonic analysis, engineering, mechanics,physics etc. and belong in the toolbox of any graduate student studying analysis
Note:Springer eBooks
Contents:Preface
1. The HahnBanach Theorems. Introduction to the Theory of Conjugate Convex Functions
2. The Uniform Boundedness Principle and the Closed Graph Theorem. Unbounded Operators. Adjoint. Characterization of Surjective Operators
3. Weak Topologies. Reflexive Spaces. Separable Spaces. Uniform Convexity
4. L^p Spaces
5. Hilbert Spaces
6. Compact Operators. Spectral Decomposition of Self
Adjoint Compact Operators
7. The HilleYosida Theorem
8. Sobolev Spaces and the Variational Formulation of Boundary Value Problems in One Dimension
9. Sobolev Spaces and the Vari
ISBN:9780387709147
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2009-9780387877655:ONLINE Show nearby items on shelf
Title:Introduction to the Foundations of Applied Mathematics [electronic resource]
Author(s): Mark H Holmes
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physicalideas that are funda mental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approachused to derive the relevant mathematical mod els, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of aspecific application. This does not mean applications are not considere d, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the materialbecomes more sophisticated as you progress. This provides some flexibility in how the book is u sed, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailedillustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful
Note:Springer eBooks
Contents:Dimensional Analysis
Perturbation Methods
Kinetics
Diffusion
Traffic Flow
Continuum Mechanics: One Spatial Dimension
Elastic and Viscoelastic Materials
Continuum Mechanics: Three Spatial Dimensions
Fluids
Taylor's Theorem
Fourier Analysis
Stochastic Differential Equations
Identities
Equations for a Newtonian Fluid
References
Index
ISBN:9780387877655
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v56
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics , Mechanics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9780387759340:ONLINE Show nearby items on shelf
Title:The Mathematical Theory of Finite Element Methods [electronic resource]
Author(s): Susanne C Brenner
L. Ridgway Scott
Date:2008
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 develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decompositionpreconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'e-Friedrichs inequalities for piecewise W^1_p functions. New exercises have also been added throughout. The initial chapter providesan introducton to the entire subject, developed i n the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequentchapters provide an introduction to: - multigrid methods and domain decom position methods - mixed methods with applications to elasticity and fluid mechanics - iterated penalty and augmented Lagrangian methods - variational crimesincluding nonconforming and isoparametric methods, numerical integration and interior penalty meth ods - error estimates in the maximum norm with applications to nonlinear problems - error estimators, adaptive meshes and convergenceanalysis of an adaptive algorithm - Banach-space operator-interpolation techniques The book has proved useful to mathemati cians as well as engineers and physical scientists. It can be used for a course that provides an introduction tobasic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theo ry. It can also be used for courses that emphasize physical applications or algorithmicefficiency. Reviews of earlier editions: This book represents an important contribution to the mathematical literature of finite elements. It is both a well-done text a nd a good reference. (Mathematical Reviews, 1995) This is anexcellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable refere
Note:Springer eBooks
Contents:Preface(3rdEd)
Preface(2ndEd)
Preface(1stED)
Basic Concepts
Sobolev Spaces
Variational Formulation of Elliptic Boundary Value Problems
The Construction of a Finite Element of Space
Polynomial Approximation Theory in Sobolev Spaces
n
Dimensional Variational Problems
Finite Element Multigrid Methods
Additive Schwarz Preconditioners
Max
norm Estimates
Adaptive Meshes
Variational Crimes
Applications to Planar Elasticity
Mixed Methods
Iterative Techniques for Mixed Methods
Applications of Operator
Interpolation Theory
References
Index
ISBN:9780387759340
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v15
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Computer science Mathematics , Engineering , Mechanics, applied
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2007-9780817645601:ONLINE Show nearby items on shelf
Title:Linear Partial Differential Equations for Scientists and Engineers [electronic resource]
Author(s): Tyn Myint-U
Lokenath Debnath
Date:2007
Edition:Fourth Edition
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applicationsin every branch of app lied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linearPDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new materialthat is not usually covered in similar texts and reference books, incl uding conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method,fractional partial differential equations, and nonlinear partial differential equations with applica tions. Key features include: * Applications to a wide variety of physical problems in numerous interdisciplinary areas * Over 900worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biol ogy, and chemistry * Historical comments on partial differential equations * Solutions and hints to selectedexercises * A comprehensive bibliographycomprised of many standard texts and reference books, as well as a set of selected classic and recent paper sfor readers interested in learning more about the modern treatment of the subjectLinear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on ad vanced engineering mathematics. The book may also be used as areference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering
Note:Springer eBooks
Contents:Preface to the Fourth Edition
Preface to the Third Edition
Introduction
First
Order, Quasi
Linear Equations and Method of Characteristics
Mathematical Models
Classification of Second
Order Linear Equations
The Cauchy Problem and Wave Equations
Fourier Series and Integrals with Applications
Method of Separation of Variables
Eigenvalue Problems and Special Functions
Boundary
Value Problems and Applications
Higher
Dimensional Boundary
Value Problems
Green's Functions and Boundary
Value Problems
Integral Transform Methods with Applications
Nonlinear Partia
ISBN:9780817645601
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2007-9780387491592:ONLINE Show nearby items on shelf
Title:An Introduction to Scientific Computing [electronic resource] Twelve Computational Projects Solved with MATLAB
Author(s): Ionut Danaila
Pascal Joly
Sidi Mahmoud Kaber
Marie Postel
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and ImageProcessing. For each p roject the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussionof numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts.The mathematical framework provides a basic foundation in the subj ect of numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods andwavelets). The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicingengineers
Note:Springer eBooks
Contents:Numerical Approximation of Model Partial Differential Equations
Nonlinear Differential Equations: Application to Chemical Kinetics
Polynomial Approximation
Solving an Advection
Diffusion Equation by A Finite Element Method
Solving A Differential Equation by A Spectral Method
Signal Processing: Multiresolution Analysis
Elasticity: Elastic Deformation of A Thin Plate
Domain Decomposition Using A Schwarz Method
Geometrical Design: Bezier Curves and Surfaces
Gas Dynamics: Riemann Problem and Discontinuous Solutions: Application to The Shock Tube Problem
Thermal Engineer
ISBN:9780387491592
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Numerical analysis , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2007-9780387489476:ONLINE Show nearby items on shelf
Title:Applied Linear Algebra and Matrix Analysis [electronic resource]
Author(s): Thomas S Shores
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, AppliedLinear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text isindependent of specific hardware or software pl atforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises. The student will develop a solid foundation in thefollowing topics *Gaussian elimination and other operations with matric es *basic properties of matrix and determinant algebra *standard Euclidean spaces, both real and complex *geometrical aspects of vectors, such as norm, dot product,and angle *eigenvalues, eigenvectors, and discrete dynamical systems *general norm and inne r-product concepts for abstract vector spaces For many students, the tools of matrix and linear algebra will be as fundamental in theirprofessional work as the tools of calculus thus it is important to ensure that students appreciate the utility and beaut y of these subjects as well as the mechanics. By including applied mathematics and mathematical modeling, this newtextbook will teach students how concepts of matrix and linear algebra make concrete problems workable. Thomas S. Shores is Professor of Math ematics at the University of Nebraska, Lincoln, where he has received awards for his teaching.His research touches on group theory, commutative algebra, mathematical modeling, numerical analysis, and inverse theory
Note:Springer eBooks
Contents:Preface
Linear Systems of Equations
Matrix Algebra
Vector Spaces
Geometrical Aspects of Standard Spaces
The Eigenvalue Problem
Geometrical Aspects of Abstract Spaces
Table of Symbols
Answers to Selected Exercises
References
Index
ISBN:9780387489476
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2007-9780387377483:ONLINE Show nearby items on shelf
Title:Variational Principles in Physics [electronic resource]
Author(s): Jean-Louis Basdevant
Date:2007
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:Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion ofequilibrium was dear to thin kers of the enlightenment, as illustrated by Montesquieus famous formulation: In all magistracies, the greatness of the power must be compensated by the brevity of the duration. Astonishingly, naturallaws are guided by a similar principle. Variational pri nciples have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an ideawhich came to be known as Fermats principle, a cornerstone of geometrical op tics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted tothe analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einsteins General Relativity, Feynmans Quantum Mechanics, and more revealingand amazing interconnections between various fields of physics. A graduate of the Ecole Normale Superieure, Jean-Louis Basdevant is Professor and former Chair of the Department of Physics at the Ecole Polytechnique, and Director ofResearch for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in t he Leprince-Ringuet Laboratory at the Ecole Polytechnique
Note:Springer eBooks
Contents:Foreword
Variational Principles
The Analytical Mechanics of Lagrange
The Canonical Formalism of Hamilton
The Lagrangian Theory of Fields
Movement in a Curved Space
Feynmans Path Integrals in Quantum Mechanics
Solutions to Exercises
Bibliography
Index
ISBN:9780387377483
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical optimization , Mathematical physics , Mechanics , Mechanics, applied
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2005-9780817644185:ONLINE Show nearby items on shelf
Title:Nonlinear Partial Differential Equations for Scientists and Engineers [electronic resource]
Author(s): Lokenath Debnath
Date:2005
Edition:Second Edition
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:An exceptionally complete overview. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here. This reviewer feels that it is avery hard act to follow, a nd recommends it strongly. [This book] is a jewel. ---Applied Mechanics Review (Review of First Edition) This expanded and revised second edition is a comprehensive and systematic treatment of linear andnonlinear partial differential equations and their v aried applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics,plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions are presented, along with their physical significance, making the book more useful for adiverse readership. Topics and key features: * Thorough coverage of derivation and methods of sol utions for all fundamental nonlinear model equations, which include Korteweg--de Vries, Boussinesq, Burgers, Fisher, nonlinearreaction-diffusion, Euler--Lagrange, nonlinear Klein--Gordon, sine-Gordon, nonlinear Schrdinger, Euler, Water Waves, Camassa and Holm, Johnson, Davey-Stewartson, Kolmogorov, Petrovsky and Piscunov, Kadomtsev and Petviashivilli,Benjamin, Bona and Mahony, Harry Dym, Lax, and Whitman equations * Systematic presentation and explanation of conservation laws, weak solutions, and shock wa ves * Solitons, compactons, intrinsic localized modes, and the InverseScattering Transform * Special emphasis on nonlinear instability of dispersive waves with applications to water waves * Over 600 worked examples and end-of-chapter exercises with hints and selected solutions New features of the SecondEdition include: * Improved presentation of results, methods of solutions, and proofs * New section on Sturm--Liouville systems and their fundamental
Note:Springer eBooks
Contents:Linear Partial Differential Equations
Nonlinear Model Equations and Variational Principles
First
Order, Quasi
Linear Equations and Method of Characteristics
First
Order Nonlinear Equations and Their Applications
Conservation Laws and Shock Waves
Kinematic Waves and Real
World Nonlinear Problems
Nonlinear Dispersive Waves and Whithams Equations
Nonlinear Diffusion
Reaction Phenomena
Solitons and the Inverse Scattering Transform
The Nonlinear Schrdinger Equation and Solitary Waves
Nonlinear Klein
Gordon and Sine
Gordon Equations
Asymptotic Methods and Nonlin
ISBN:9780817644185
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2005-9780387276496:ONLINE Show nearby items on shelf
Title:Nonlinear Problems of Elasticity [electronic resource]
Author(s): Stuart S Antman
Date:2005
Edition:Second Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity, directedtoward the scientist, e ngineer, and mathematician who wish to see careful treatments of precisely formulated problems. Special emphasis is placed on the role of nonlinear material response. The mathematical tools from nonlinearanalysis are given self-contained presentations whe re they are needed. This book begins with chapters on (geometrically exact theories of) strings, rods, and shells, and on the applications of bifurcation theory and the calculus ofvariations to problems for these bodies. The book continues with chapters o n tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamicalproblems. Each chapter contains a wealth of interesting, challenging, and tractable exercises. Revie ws of the first edition: ``A scholarly work, it is uncompromising in its approach to model formulation, while achieving strikinggenerality in the analysis of particular problems. It will undoubtedly become a standard research reference in elasticity but w ill be appreciated also by teachers of both solid mechanics and applied analysis for its clear derivation ofequations and wealth of examples.'' --- J. M. Ball, (Bulletin of the American Mathematical Society), 1996. ``It is destined to become a standard re ference in the field which belongs on the bookshelf of anyone working on the applicationof mathematics to continuum mechanics. For graduate students, it provides a fascinating introduction to an active field of mathematical research.'' --- M. Renardy, (SI AM Review), 1995. ``The monograph is a masterpiece for writing amodern theoretical treatise on a field of natural sciences. It is highly recommended to all scientists, engineers and mathematicians inter
Note:Springer eBooks
Contents:Preface
Background
The Equations of Motion for Extensible Strings
Elementary Problems for Elastic Strings
Planar Steady
State Problems for Elastic Rods
Introduction to Bifurcation Theory and it's Applications to Elasticity
Global Bifurcation Problems for Strings and Rods
Variational Methods
Theory of Rods Deforming in Space
Spatial Problems for Rods
Axisymmetric Equilibria of Shells
Tensors
3
Dimensional Continuum
3
Dimensional Theory of Nonlinear Elasticity
Problems in Nonlinear Elasticity
Large
Strain Plasticity
General Theories of Rods
Gene
ISBN:9780387276496
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v107
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9781461200475:ONLINE Show nearby items on shelf
Title:Perturbation Methods for Differential Equations
Author(s): Bhimsen K Shivamoggi
Date:2003
Size:1 online resource (354 p.)
Note:10.1007/978-1-4612-0047-5
Contents:1 Asymptotic Series and Expansions -- 1.1 Introduction -- 1.2 Taylor Series Expansions -- 1.3 Gauge Functions -- 1.4 Asymptotic Series and Expansions -- 1.5 Asymptotic Solutions of Differential Equations -- 1.6 Exercises -- 2 Regular
Perturbation Methods -- 2.1 Introduction -- 2.2 Algebraic Equations -- 2.3 Ordinary Differential Equations -- 2.4 Partial Differential Equations -- 2.5 Applications to Fluid Dynamics: Decay of a Line Vortex -- 2.6 Exercises -- 2.7
Appendix. Review of Partial Differential Equations -- 3 The Method of Strained Coordinates/Parameters -- 3.1 Introduction -- 3.2 Poincaré-Lindstedt-Lighthill Method of Perturbed Eigenvalues -- 3.3 Eigenfunction Expansion Method -- 3.4
Lighthill’s Method of Shifting Singularities -- 3.5 Pritulo’s Method of Renormalization -- 3.6 Wave Propagation in an Inhomogeneous Medium -- 3.7 Applications to Solid Mechanics: Nonlinear Buckling of Elastic Columns -- 3.8
Applications to Fluid Dynamics -- 3.9 Applications to Plasma Physics -- 3.10 Limitations of the Method of Strained Parameters -- 3.11 Exercises -- 3.12 Appendix 1. Fredholm’s Alternative Theorem -- 3.13 Appendix 2. Floquet Theory --
3.14 Appendix 3. Bifurcation Theory -- 4 Method of Averaging -- 4.1 Introduction -- 4.2 Krylov-Bogoliubov Method of Averaging -- 4.3 Krylov-Bogoliubov-Mitropolski Generalized Method of Averaging -- 4.4 Whitham’s Averaged Lagrangian
Method -- 4.5 Hamiltonian Perturbation Method -- 4.6 Applications to Fluid Dynamics: Nonlinear Evolution of Modulated Gravity Wave Packet on the Surface of a Fluid -- 4.7 Exercises -- 4.8 Appendix 1. Review of Calculus of Variations --
4.9 Appendix 2. Hamilton-Jacobi Theory -- 5 The Method of Matched Asymptotic Expansions -- 5.1 Introduction -- 5.2 Physical Motivation -- 5.3 The Inner and Outer Expansions -- 5.4 Hyperbolic Equations -- 5.5 Elliptic Equations -- 5.6
Parabolic Equations -- 5.7 Interior Layers -- 5.8 Latta’s Method of Composite Expansions -- 5.9 Turning Point Problems -- 5.10 Applications to Fluid Dynamics: Boundary-Layer Flow Past a Flat Plate -- 5.11 Exercises -- 5.12 Appendix 1.
Initial-Value Problem for Partial Differential Equations -- 5.13 Appendix 2. Review of Nonlinear Hyperbolic Equations -- 6 Method of Multiple Scales -- 6.1 Introduction -- 6.2 Differential Equations with Constant Coefficients -- 6.3
Struble’s Method -- 6.4 Differential Equations with Slowly Varying Coefficients -- 6.5 Generalized Multiple-Scale Method -- 6.6 Applications to Solid Mechanics: Dynamic Buckling of a Thin Elastic Plate -- 6.7 Applications to Fluid
Dynamics -- 6.8 Applications to Plasma Physics -- 6.9 Exercises -- 7 Miscellaneous Perturbation Methods -- 7.1 A Quantum-Field-Theoretic Perturbative Procedure -- 7.2 A Perturbation Method for Linear Stochastic Differential Equations
-- 7.3 Exercises
ISBN:9781461200475
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Differential equations , Applied mathematics , Engineering mathematics , Computer mathematics , Computational intelligence , Mathematics , Ordinary Differential Equations , Computational Mathematics and Numerical Analysis , Applications of Mathematics , Computational Intelligence
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9780817681302:ONLINE Show nearby items on shelf
Title:A Distributional Approach to Asymptotics Theory and Applications
Author(s): Ricardo Estrada
Date:2002
Edition:Second Edition
Size:1 online resource (454 p.)
Note:10.1007/978-0-8176-8130-2
Contents:1 Basic Results in Asymptotics -- 1.1 Introduction -- 1.2 Order Symbols -- 1.3 Asymptotic Series -- 1.4 Algebraic and Analytic Operations -- 1.5 Existence of Functions with a Given Asymptotic Expansion -- 1.6 Asymptotic Power Series
in a Complex Variable -- 1.7 Asymptotic Approximation of Partial Sums -- 1.8 The Euler-Maclaurin Summation Formula -- 1.9 Exercises -- 2 Introduction to the Theory of Distributions -- 2.1 Introduction -- 2.2 The Space of Distributions
D? -- 2.3 Algebraic and Analytic Operations -- 2.4 Regularization, Pseudofunction and Hadamard Finite Part -- 2.5 Support and Order -- 2.6 Homogeneous Distributions -- 2.7 Distributional Derivatives of Discontinuous Functions -- 2.8
Tempered Distributions and the Fourier Transform -- 2.9 Distributions of Rapid Decay -- 2.10 Spaces of Distributions Associated with an Asymptotic Sequence -- 2.11 Exercises -- 3 A Distributional Theory for Asymptotic Expansions -- 3.1
Introduction -- 3.2 The Taylor Expansion of Distributions -- 3.3 The Moment Asymptotic Expansion -- 3.4 Expansions in the Space P? -- 3.5 Laplace’s Asymptotic Formula -- 3.6 The Method of Steepest Descent -- 3.7 Expansion of
Oscillatory Kernels -- 3.8 Time-Domain Asymptotics -- 3.9 The Expansion of f (?x) as ? ? ? in Other Cases -- 3.10 Asymptotic Separation of Variables -- 3.11 Exercises -- 4 Asymptotic Expansion of Multidimensional Generalized Functions
-- 4.1 Introduction -- 4.2 Taylor Expansion in Several Variables -- 4.3 The Multidimensional Moment Asymptotic Expansion -- 4.4 Laplace’s Asymptotic Formula -- 4.5 Fourier Type Integrals -- 4.6 Time-Domain Asymptotics -- 4.7 Further
Examples -- 4.8 Tensor Products and Partial Asymptotic Expansions -- 4.9 An Application in Quantum Mechanics -- 4.10 Expansion of Kernels of the Type f (?x, x) -- 4.11 Exercises -- 5 Asymptotic Expansion of Certain Series Considered by
Ramanujan -- 5.1 Introduction -- 5.2 Basic Formulas -- 5.3 Lambert Type Series -- 5.4 Distributionally Small Sequences -- 5.5 Multiple Series -- 5.6 Unrestricted Partitions -- 5.7 Exercises -- 6 Cesàro Behavior of Distributions -- 6.1
Introduction -- 6.2 Summability of Series and Integrals -- 6.3 The Behavior of Distributions in the (C) Sense -- 6.4 The Cesàro Summability of Evaluations -- 6.5 Parametric Behavior -- 6.6 Characterization of Tempered Distributions --
6.7 The Space K? -- 6.8 Spherical Means -- 6.9 Existence of Regularizations -- 6.10 The Integral Test -- 6.11 Moment Functions -- 6.12 The Analytic Continuation of Zeta Functions -- 6.13 Fourier Series -- 6.14 Summability of
Trigonometric Series -- 6.15 Distributional Point Values of Fourier Series -- 6.16 Spectral Asymptotics -- 6.17 Pointwise and Average Expansions -- 6.18 Global Expansions -- 6.19 Asymptotics of the Coincidence Limit -- 6.20 Exercises
-- 7 Series of Dirac Delta Functions -- 7.1 Introduction -- 7.2 Basic Notions -- 7.3 Several Problems that Lead to Series of Deltas -- 7.4 Dual Taylor Series as Asymptotics of Solutions of Equations -- 7.5 Boundary Layers -- 7.6
Spectral Content Asymptotics -- 7.7 Exercises -- References
ISBN:9780817681302
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Statistics , Mathematics , Analysis , Applications of Mathematics , Statistical Theory and Methods
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-1999-9781475758672:ONLINE Show nearby items on shelf
Title:Modern Analytic Mechanics
Author(s): Richard K Cooper
Date:1999
Size:1 online resource (341 p.)
Note:10.1007/978-1-4757-5867-2
Contents:1 Newtonian Mechanics -- 2 Hamilton’s Principle -- 3 Gravitational Law and Planetary Motion -- 4 Hamiltonian Description -- 5 Oscillations I -- 6 Oscillations II -- 7 Rigid Bodies -- 8 Waves in Mechanical Systems -- 9 Special
Relativity -- 10 Problems -- Appendix A Linear Algebra -- A.1. Properties of Determinants -- A.2. Matrix Notation -- A.3. Matrix Operations -- A.4. Types of Matrices -- A.5. Eigenvalue Analysis -- Appendix B Linear Differential
Equations -- Appendix C Numerical Methods -- C.1. Numerical Evaluation of Integrals -- C.2. Numerical Integration of Ordinary Differential Equations -- Appendix D Fourier Series -- D.1. Series Representation of Periodic Functions --
D.2. Evaluation of Series -- D.3. Numerical Evaluation of Series Coefficients -- D.4. Complex Series -- Appendix E Computer Exercises in Classical Mechanics -- E.1. Using the Computer -- E.2. Starting Out -- Appendix F FORTRAN -- F.1.
Basic Elements of a FORTRAN Program -- F.2. Other Data Types -- F.3. FORTRAN Functions -- F.4. Looping -- F.5. Variables with Many Values -- F.6. Subroutines -- Appendix G Mathcad
ISBN:9781475758672
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Physics , Mechanics , Mathematics , Applications of Mathematics , Mechanics , Theoretical, Mathematical and Computational Physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-1992-9789401126526:ONLINE Show nearby items on shelf
Title:Exercises in Quantum Mechanics A Collection of Illustrative Problems and Their Solutions
Author(s): Harry Mavromatis
Date:1992
Edition:Second Revised Edition
Size:1 online resource (333 p.)
Note:10.1007/978-94-011-2652-6
Contents:1 Wilson-Sommerfeld Quantization Condition -- 2 The Delta Function, Completeness, and Closure -- 3 Momentum Space -- 4 Wavepackets and the Uncertainty Principle -- 5 Uncertainty Principle and Ground-State Energies of
Quantum-Mechanical Systems -- 6 Free Particles Incident on Potentials, Time Delay,Phase Shifts, and the Born Approximation -- 7 Heisenberg Representation -- 8 Two-, Three-, and N-, Versus One-Dimensional Problems -- 9 ‘Kramers’ Type
Expressions, The Virial Theorem,and Generalizations -- 10 Upper Bounds and Parity Considerations -- 11 Perturbation Theory -- 12 Degeneracy -- 13 The Inverse Problem -- 14 The Dalgarno-Lewis Technique -- 15 Angular Momentum and Coupled
States -- 16 Tensor Operators, and Evaluation of Matrix Elements -- 17 Applications of Quantum Mechanics
ISBN:9789401126526
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Kluwer Texts in the Mathematical Sciences: 6
Keywords: Physics , Applied mathematics , Engineering mathematics , Quantum physics , Physics , Quantum Physics , Applications of Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-1989-9789400925540:ONLINE Show nearby items on shelf
Title:Rock Rheology
Author(s): N Cristescu
Date:1989
Size:1 online resource (336 p.)
Note:10.1007/978-94-009-2554-0
Contents:1. Introduction -- 2. Mechanical Properties of Rocks -- 2.1. Diagnostic tests -- 2.2. Unconfined uniaxial compressive tests -- 2.3. Other mechanical tests -- 2.4. Triaxial tests -- Exercises -- 3. Creep of Rocks -- 3.1. History of
creep tests -- 3.2. Uniaxial creep -- 3.3. Mathematical model -- 3.4. Examples -- 3.5. Creep in triaxial stress-state -- Exercises -- 4. Volume Deformation -- 4.1. Dilatancy and/or compressibility -- 4.2. Volume compressibility -- 4.3.
Mathematical models for the hydrostatic compressibility of volume -- 4.4. Volume dilatancy -- 4.5. Rock dilatancy during creep -- Exercises -- 5. Classical Constitutive Equations -- 5.1. The linear elastic model -- 5.2. Plane strain
elasticity in cylindrical coordinates -- 5.3. Thick-walled tube subjected to internal and external pressures -- 5.4. The general linear viscoelastic model -- Exercises -- 6. Rock ‘Elasticity’ at High Pressures -- 6.1. The elastic
moduli -- 6.2. Determination of elastic moduli by dynamic procedures -- 6.3. Longitudinal and shear waves in the case of high stresses and finite strains -- 6.4. Restrictions concerning the elastic parameters -- Exercises -- 7. Rock
Plasticity -- 7.1. Historical outline -- 7.2. Constitutive hypotheses -- 7.3. Constitutive equation -- 7.4. Yield function and plastic potential -- 7.5. Example for a dilatant rock -- 7.6. Example of compressible/dilatant rock -- 7.7.
Generalization of the model for finite rotations -- Exercises -- 8. Elastic/Viscoplastic Constitutive Equations -- 8.1. General considerations -- 8.2. Experimental foundation -- 8.3. Constitutive hypotheses -- 8.4. Constitutive
equations -- 8.5. An example for a compressible/dilatant hard rock -- 8.6. Examples for softer rocks -- 8.7. A uniaxial example -- 8.8. Acoustic emission -- Exercises -- 9. Damage and Failure of Rocks -- 9.1. Classical short-time
failure-strength criteria -- 9.2. Some experimental evidence -- 9.3. The energetic damage parameter -- 9.4. Numerical examples -- Exercises -- 10. Stress states In-Situ -- 10.1. Primary stress-state -- 10.2. Secondary and relative
stress fields -- 10.3. Initial stresses and strains for the linear elastic model -- 10.4. Primary states for the elasto-plastic constitutive equation -- 10.5. Primary states for the linear viscoelastic model -- 10.6. Primary states for
the elastic/viscoplastic model -- 10.7. Stresses and strains around underground openings -- Exercises -- 11. Creep and Dilatancy/Compressibility of Rocks Around Vertical Shafts and Oil Wells -- 11.1. Formulation of the problem -- 11.2.
The linear elastic solution -- 11.3. The linear viscoelastic rock -- 11.4. The elastic/viscoplastic rock -- 11.5. Dilatancy/compressibility and damage around a well -- 11.6. A more general primary stress-state -- Exercises -- 12. Creep
and Dilatancy/Compressibility of Rocks Around Horizontal Tunnels -- 12.1. Formulation of the problem -- 12.2. The elastic approach -- 12.3. Creep around a tunnel according to a linear viscoelastic model -- 12.4. Creep according to an
elastic/viscoplastic model -- 12.5. Creep, dilatancy/compressibility, damage, and failure around a tunnel -- Exercises -- 13. Tunnel Support Analysis -- 13.1. Formulation of the problem -- 13.2. Linear elastic support linear
viscoelastic rock -- 13.3. Non-linear self-adjusting supports linear viscoelastic rock -- 13.4. Non-linear self-adjusting support elastic/viscoplastic rock -- Exercises -- Appendix 1. A Short Introduction to Fracture Mechanics -- A1.1.
Introduction -- A1.2. The fundamental relations of the plane theory of elasticity -- A1.4. The main boundary-value problems -- A1.5. The influence functions corresponding to the elementary crack -- A1.6. The Griffith crack in the plane
problem -- A1.7. Stress intensity factors and criteria for the propagation of the crack -- A1.8. Systems of rectilinear cracks -- A1.9. Application to the crack kinking problem -- A1.10. Some numerical and experimental results --
Appendix 2. Creep and Stress Variation Around a Well or a Tunnel. A Numerical Approach -- References -- Author Index
ISBN:9789400925540
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mechanics of Elastic and Inelastic Solids: 7
Keywords: Earth sciences , Geotechnical engineering , Earth Sciences , Geotechnical Engineering & Applied Earth Sciences
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-1987-9789401577717:ONLINE Show nearby items on shelf
Title:Exercises in Quantum Mechanics A Collection of Illustrative Problems and Their Solutions
Author(s): Harry A Mavromatis
Date:1987
Size:1 online resource (181 p.)
Note:10.1007/978-94-015-7771-7
Contents:1 / Wilson-Sommerfeld Quantization Condition -- 2 / The Delta Function, Completeness and Closure -- 3 / Momentum Space -- 4 / Wavepackets and the Uncertainty Principle -- 5 / Uncertainty Principle and Ground-State Energies of
Quantum-Mechanical Systems -- 6 / Free Particles Incident on Potentials, Time Delay, Phase Shiffs and the Born Approximation -- 7 / Heisenberg Representation -- 8 / Two and Three Versus One-Dimensional Problems -- 9 / ‘Kramer’ Type
Expressions. The Virial Theorem and Generalizations -- 10 / Upper Bounds and Parity Considerations -- 11 / Perturbation Theory -- 12 / Degeneracy -- 13 / The Inverse problem -- 14 / The Dalgarno-Lewis Technique
ISBN:9789401577717
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Reidel Texts in the Mathematical Sciences, A Graduate-Level Book Series: 2
Keywords: Physics , Applied mathematics , Engineering mathematics , Quantum physics , Physics , Quantum Physics , Applications of Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Return to the Fermilab Library catalog