Introduction to Nonlinear Differential and Integral Equations


Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Category: Mathematics
Page: 566
View: 7242

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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Integral Equations


Author: F. G. Tricomi
Publisher: Courier Corporation
ISBN: 0486158306
Category: Mathematics
Page: 256
View: 1207

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Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

An Introduction to Differential Equations and Their Applications


Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Category: Mathematics
Page: 640
View: 1532

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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Integral Equations: A Practical Treatment, from Spectral Theory to Applications


Author: David Porter,David S. G. Stirling
Publisher: Cambridge University Press
ISBN: 9780521337427
Category: Mathematics
Page: 372
View: 4646

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This book gives a rigorous and practical treatment of integral equations and aims to tackle the solution of integral equations using a blend of abstract structural results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text, and it allows a thorough account to be given of many of the types of integral equation that arise, particularly in numerical analysis and fluid mechanics. Because it is not always possible to find explicit solutions to the problems posed, much attention is devoted to obtaining qualitative information and approximations and the associated error estimates.

Nonlinear Differential Equations and Dynamical Systems


Author: Ferdinand Verhulst
Publisher: Springer Science & Business Media
ISBN: 3642614531
Category: Mathematics
Page: 306
View: 1338

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For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.

Stability Theory of Differential Equations


Author: Richard Bellman
Publisher: Courier Corporation
ISBN: 0486150135
Category: Mathematics
Page: 176
View: 645

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Suitable for advanced undergraduates and graduate students, this text introduces the stability theory and asymptotic behavior of solutions of linear and nonlinear differential equations. 1953 edition.

Ordinary Differential Equations

An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences
Author: Morris Tenenbaum,Harry Pollard
Publisher: Courier Corporation
ISBN: 0486649407
Category: Mathematics
Page: 808
View: 9066

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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Introduction to Partial Differential Equations with Applications


Author: E. C. Zachmanoglou,Dale W. Thoe
Publisher: Courier Corporation
ISBN: 9780486652511
Category: Mathematics
Page: 405
View: 4040

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This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Laplace Transform (PMS-6)


Author: David Vernon Widder
Publisher: Princeton University Press
ISBN: 1400876451
Category: Mathematics
Page: 418
View: 7186

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Book 6 in the Princeton Mathematical Series. Originally published in 1941. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Modelling with Differential and Difference Equations


Author: Glenn Fulford,Peter Forrester,Arthur Jones
Publisher: Cambridge University Press
ISBN: 9780521446181
Category: Mathematics
Page: 405
View: 4063

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The theme of this book is modeling the real world using mathematics. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth. Among the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies.

Integral Equations


Author: B. L. Moiseiwitsch
Publisher: Courier Corporation
ISBN: 048615212X
Category: Mathematics
Page: 176
View: 8416

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This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.

Asymptotic Expansions of Integrals


Author: Norman Bleistein,Richard A. Handelsman
Publisher: Courier Corporation
ISBN: 0486650820
Category: Mathematics
Page: 425
View: 4710

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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.

Nonlinear Ordinary Differential Equations: Problems and Solutions

A Sourcebook for Scientists and Engineers
Author: Dominic Jordan,Peter Smith
Publisher: Oxford University Press
ISBN: 0199212031
Category: Mathematics
Page: 587
View: 9453

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An ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study.

Lectures on Differential and Integral Equations


Author: K?saku Yoshida
Publisher: Courier Corporation
ISBN: 9780486666792
Category: Mathematics
Page: 220
View: 2969

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Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

Nonlinear Ordinary Differential Equations


Author: R. Grimshaw
Publisher: Routledge
ISBN: 135142808X
Category: Mathematics
Page: 336
View: 6041

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Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.

Oscillations in Nonlinear Systems


Author: Jack K. Hale
Publisher: Courier Dover Publications
ISBN: 0486803260
Category: Mathematics
Page: 192
View: 9081

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By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

Introduction to Linear Algebra and Differential Equations


Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158314
Category: Mathematics
Page: 432
View: 6434

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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Numerical Solution of Partial Differential Equations by the Finite Element Method


Author: Claes Johnson
Publisher: Courier Corporation
ISBN: 0486131599
Category: Mathematics
Page: 288
View: 3263

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An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Ordinary Differential Equations


Author: Jack K. Hale
Publisher: Courier Corporation
ISBN: 0486472116
Category: Mathematics
Page: 361
View: 6295

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This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.

The Qualitative Theory of Ordinary Differential Equations

An Introduction
Author: Fred Brauer,John A. Nohel
Publisher: Courier Corporation
ISBN: 0486151514
Category: Mathematics
Page: 320
View: 3877

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Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.