**Author**: Harold Thayer Davis

**Publisher:**Courier Corporation

**ISBN:**9780486609713

**Category:**Mathematics

**Page:**566

**View:**6420

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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:** 6420

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**: K?saku Yoshida

**Publisher:** Courier Corporation

**ISBN:** 9780486666792

**Category:** Mathematics

**Page:** 220

**View:** 5395

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**: John W. Dettman

**Publisher:** Courier Corporation

**ISBN:** 0486158314

**Category:** Mathematics

**Page:** 432

**View:** 6591

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**: Earl A. Coddington

**Publisher:** Courier Corporation

**ISBN:** 0486131831

**Category:** Mathematics

**Page:** 320

**View:** 1982

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

**Author**: Stanley J. Farlow

**Publisher:** Courier Corporation

**ISBN:** 0486135136

**Category:** Mathematics

**Page:** 640

**View:** 3053

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**: Ronald B. Guenther,John W. Lee

**Publisher:** Courier Corporation

**ISBN:** 0486137627

**Category:** Mathematics

**Page:** 576

**View:** 1568

Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 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:** 2648

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:** 048613217X

**Category:** Mathematics

**Page:** 432

**View:** 1047

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**: Claes Johnson

**Publisher:** Courier Corporation

**ISBN:** 0486131599

**Category:** Mathematics

**Page:** 288

**View:** 4411

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**: Witold Hurewicz

**Publisher:** Courier Corporation

**ISBN:** 048679721X

**Category:** Mathematics

**Page:** 144

**View:** 2606

Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

**Author**: Francesco Giacomo Tricomi

**Publisher:** Courier Corporation

**ISBN:** 9780486648286

**Category:** Mathematics

**Page:** 238

**View:** 1512

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**: S. L. Sobolev

**Publisher:** Courier Corporation

**ISBN:** 9780486659640

**Category:** Science

**Page:** 427

**View:** 821

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

**Author**: Constantin Corduneanu

**Publisher:** American Mathematical Soc.

**ISBN:** 0821846221

**Category:** Mathematics

**Page:** 205

**View:** 6392

In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. --Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.

**Author**: Jack K. Hale

**Publisher:** Courier Dover Publications

**ISBN:** 0486803260

**Category:** Mathematics

**Page:** 192

**View:** 5432

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**: Raymond M. Smullyan

**Publisher:** Courier Corporation

**ISBN:** 9780486683706

**Category:** Mathematics

**Page:** 158

**View:** 1033

Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.
*An Introduction*

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

**Publisher:** Courier Corporation

**ISBN:** 0486151514

**Category:** Mathematics

**Page:** 320

**View:** 5502

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.

**Author**: Charles Henry Edwards

**Publisher:** Courier Corporation

**ISBN:** 9780486683362

**Category:** Mathematics

**Page:** 457

**View:** 1691

Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

**Author**: Paul D. Ritger,Nicholas J. Rose

**Publisher:** Courier Corporation

**ISBN:** 9780486411545

**Category:** Mathematics

**Page:** 545

**View:** 5889

Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.

**Author**: Heinrich W. Guggenheimer

**Publisher:** Courier Corporation

**ISBN:** 0486157202

**Category:** Mathematics

**Page:** 400

**View:** 1631

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.
*An Introduction to Proofs*

**Author**: Joseph J. Rotman

**Publisher:** Courier Corporation

**ISBN:** 0486151689

**Category:** Mathematics

**Page:** 256

**View:** 9980

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

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