A First Look At Perturbation Theory

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A First Look At Perturbation Theory

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Author : James G. Simmonds
language : en
Publisher: Courier Corporation
Release Date : 2013-07-04

A First Look At Perturbation Theory written by James G. Simmonds and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-04 with Mathematics categories.

Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.

Perturbation Methods

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Author : E. J. Hinch
language : en
Publisher: Cambridge University Press
Release Date : 1991-10-25

Perturbation Methods written by E. J. Hinch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-25 with Mathematics categories.

A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.

Perturbation Theory For Linear Operators

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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Perturbation Theory For Linear Operators written by Tosio Kato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

Foundations Of Potential Theory

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Author : Oliver Dimon Kellogg
language : en
Publisher: Courier Corporation
Release Date : 1953-01-01

Foundations Of Potential Theory written by Oliver Dimon Kellogg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953-01-01 with Science categories.

Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.

Perturbation Techniques In Mathematics Engineering And Physics

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Author : Richard Ernest Bellman
language : en
Publisher: Courier Corporation
Release Date : 2003-01-01

Perturbation Techniques In Mathematics Engineering And Physics written by Richard Ernest Bellman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Science categories.

Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.

Asymptotic Expansions Of Integrals

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Author : Norman Bleistein
language : en
Publisher: Courier Corporation
Release Date : 1986-01-01

Asymptotic Expansions Of Integrals written by Norman Bleistein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.

Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

Symmetry And Perturbation Theory In Nonlinear Dynamics

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Author : Giampaolo Cicogna
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01

Symmetry And Perturbation Theory In Nonlinear Dynamics written by Giampaolo Cicogna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.

has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.

Asymptotic Analysis And Perturbation Theory

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Author : William Paulsen
language : en
Publisher: CRC Press
Release Date : 2013-07-18

Asymptotic Analysis And Perturbation Theory written by William Paulsen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Mathematics categories.

Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge o

A First Look At Numerical Functional Analysis

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Author : W. W. Sawyer
language : en
Publisher: Courier Dover Publications
Release Date : 2010-12-22

A First Look At Numerical Functional Analysis written by W. W. Sawyer and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-22 with Mathematics categories.

Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.

Continuum Thermodynamics Part Ii Applications And Examples

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Author : Krzysztof Wilmanski
language : en
Publisher: World Scientific
Release Date : 2014-11-12

Continuum Thermodynamics Part Ii Applications And Examples written by Krzysztof Wilmanski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Science categories.

This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.