**Author**: Harold Thayer Davis

**Publisher:**Courier Corporation

**ISBN:**9780486609713

**Category:**Mathematics

**Page:**566

**View:**7242

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# Search Results for: introduction-to-non-linear-differential-and-integral-equations-dover-books-on-mathematics

**Author**: Harold Thayer Davis

**Publisher:** Courier Corporation

**ISBN:** 9780486609713

**Category:** Mathematics

**Page:** 566

**View:** 7242

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.

**Author**: F. G. Tricomi

**Publisher:** Courier Corporation

**ISBN:** 0486158306

**Category:** Mathematics

**Page:** 256

**View:** 1207

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.

**Author**: Stanley J. Farlow

**Publisher:** Courier Corporation

**ISBN:** 0486135136

**Category:** Mathematics

**Page:** 640

**View:** 1532

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.

**Author**: David Porter,David S. G. Stirling

**Publisher:** Cambridge University Press

**ISBN:** 9780521337427

**Category:** Mathematics

**Page:** 372

**View:** 4646

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.

**Author**: Ferdinand Verhulst

**Publisher:** Springer Science & Business Media

**ISBN:** 3642614531

**Category:** Mathematics

**Page:** 306

**View:** 1338

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.

**Author**: Richard Bellman

**Publisher:** Courier Corporation

**ISBN:** 0486150135

**Category:** Mathematics

**Page:** 176

**View:** 645

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.
*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

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.

**Author**: E. C. Zachmanoglou,Dale W. Thoe

**Publisher:** Courier Corporation

**ISBN:** 9780486652511

**Category:** Mathematics

**Page:** 405

**View:** 4040

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.

**Author**: David Vernon Widder

**Publisher:** Princeton University Press

**ISBN:** 1400876451

**Category:** Mathematics

**Page:** 418

**View:** 7186

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.

**Author**: Glenn Fulford,Peter Forrester,Arthur Jones

**Publisher:** Cambridge University Press

**ISBN:** 9780521446181

**Category:** Mathematics

**Page:** 405

**View:** 4063

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.

**Author**: B. L. Moiseiwitsch

**Publisher:** Courier Corporation

**ISBN:** 048615212X

**Category:** Mathematics

**Page:** 176

**View:** 8416

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.

**Author**: Norman Bleistein,Richard A. Handelsman

**Publisher:** Courier Corporation

**ISBN:** 0486650820

**Category:** Mathematics

**Page:** 425

**View:** 4710

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.
*A Sourcebook for Scientists and Engineers*

**Author**: Dominic Jordan,Peter Smith

**Publisher:** Oxford University Press

**ISBN:** 0199212031

**Category:** Mathematics

**Page:** 587

**View:** 9453

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.

**Author**: K?saku Yoshida

**Publisher:** Courier Corporation

**ISBN:** 9780486666792

**Category:** Mathematics

**Page:** 220

**View:** 2969

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.

**Author**: R. Grimshaw

**Publisher:** Routledge

**ISBN:** 135142808X

**Category:** Mathematics

**Page:** 336

**View:** 6041

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.

**Author**: Jack K. Hale

**Publisher:** Courier Dover Publications

**ISBN:** 0486803260

**Category:** Mathematics

**Page:** 192

**View:** 9081

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.

**Author**: John W. Dettman

**Publisher:** Courier Corporation

**ISBN:** 0486158314

**Category:** Mathematics

**Page:** 432

**View:** 6434

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.

**Author**: Claes Johnson

**Publisher:** Courier Corporation

**ISBN:** 0486131599

**Category:** Mathematics

**Page:** 288

**View:** 3263

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.

**Author**: Jack K. Hale

**Publisher:** Courier Corporation

**ISBN:** 0486472116

**Category:** Mathematics

**Page:** 361

**View:** 6295

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.
*An Introduction*

**Author**: Fred Brauer,John A. Nohel

**Publisher:** Courier Corporation

**ISBN:** 0486151514

**Category:** Mathematics

**Page:** 320

**View:** 3877

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.

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