Introduction to Nonlinear Differential and Integral Equations


Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Category: Mathematics
Page: 566
View: 6420

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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.

Lectures on Differential and Integral Equations


Author: K?saku Yoshida
Publisher: Courier Corporation
ISBN: 9780486666792
Category: Mathematics
Page: 220
View: 5395

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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.

Introduction to Linear Algebra and Differential Equations


Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158314
Category: Mathematics
Page: 432
View: 6591

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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.

An Introduction to Ordinary Differential Equations


Author: Earl A. Coddington
Publisher: Courier Corporation
ISBN: 0486131831
Category: Mathematics
Page: 320
View: 1982

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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.

An Introduction to Differential Equations and Their Applications


Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Category: Mathematics
Page: 640
View: 3053

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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.

Partial Differential Equations of Mathematical Physics and Integral Equations


Author: Ronald B. Guenther,John W. Lee
Publisher: Courier Corporation
ISBN: 0486137627
Category: Mathematics
Page: 576
View: 1568

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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.

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: 2648

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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: 048613217X
Category: Mathematics
Page: 432
View: 1047

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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.

Numerical Solution of Partial Differential Equations by the Finite Element Method


Author: Claes Johnson
Publisher: Courier Corporation
ISBN: 0486131599
Category: Mathematics
Page: 288
View: 4411

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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.

Lectures on Ordinary Differential Equations


Author: Witold Hurewicz
Publisher: Courier Corporation
ISBN: 048679721X
Category: Mathematics
Page: 144
View: 2606

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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.

Integral Equations


Author: Francesco Giacomo Tricomi
Publisher: Courier Corporation
ISBN: 9780486648286
Category: Mathematics
Page: 238
View: 1512

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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.

Partial Differential Equations of Mathematical Physics


Author: S. L. Sobolev
Publisher: Courier Corporation
ISBN: 9780486659640
Category: Science
Page: 427
View: 821

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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.

Principles of Differential and Integral Equations


Author: Constantin Corduneanu
Publisher: American Mathematical Soc.
ISBN: 0821846221
Category: Mathematics
Page: 205
View: 6392

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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.

Oscillations in Nonlinear Systems


Author: Jack K. Hale
Publisher: Courier Dover Publications
ISBN: 0486803260
Category: Mathematics
Page: 192
View: 5432

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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.

First-order Logic


Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 9780486683706
Category: Mathematics
Page: 158
View: 1033

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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.

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: 5502

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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.

Advanced Calculus of Several Variables


Author: Charles Henry Edwards
Publisher: Courier Corporation
ISBN: 9780486683362
Category: Mathematics
Page: 457
View: 1691

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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.

Differential Equations with Applications


Author: Paul D. Ritger,Nicholas J. Rose
Publisher: Courier Corporation
ISBN: 9780486411545
Category: Mathematics
Page: 545
View: 5889

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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.

Differential Geometry


Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 0486157202
Category: Mathematics
Page: 400
View: 1631

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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.

Journey into Mathematics

An Introduction to Proofs
Author: Joseph J. Rotman
Publisher: Courier Corporation
ISBN: 0486151689
Category: Mathematics
Page: 256
View: 9980

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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.