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Differential and Integral Equations through Practical Problems and Exercises : Geojournal Library - Gheorghe Micula

Differential and Integral Equations through Practical Problems and Exercises

Geojournal Library

Hardcover Published: 31st August 1992
ISBN: 9780792318903
Number Of Pages: 397

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Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them. Such equations, and the development of techniques for solving them, have always held a privileged place in the mathematical sciences. Today, theoretical advances have led to more abstract and comprehensive theories which are increasingly more complex in their mathematical concepts. Theoretical investigations along these lines have led to even more abstract and comprehensive theories, and to increasingly complex mathematical concepts. Long-standing teaching practice has, however, shown that the theory of differential and integral equations cannot be studied thoroughly and understood by mere contemplation. This can only be achieved by acquiring the necessary techniques; and the best way to achieve this is by working through as many different exercises as possible. The eight chapters of this book contain a large number of problems and exercises, selected on the basis of long experience in teaching students, which together with the author's original problems cover the whole range of current methods employed in solving the integral, differential equations, and the partial differential equations of order one, without, however, renouncing the classical problems. Every chapter of this book begins with the succinct theoretical exposition of the minimum of knowledge required to solve the problems and exercises therein.

`This excellent and invaluable problem book can be recommended to teachers, students (both graduate and undergraduate) and also interested in differential and integral equations.' Acta Science Mathematics, 59 (1994)

Introduction
Problemsp. 1
Differential Equations Solvable by Quadraturep. 3
Existence and Uniqueness Theoremsp. 30
Linear Differential Equationsp. 58
The Method of Laplace Transformsp. 90
Integral Equationsp. 99
Numerical and Approximate Methods of Solving Differential and Integral Equationp. 109
First Order Partial Differential Equationsp. 138
Miscellaneous Problemsp. 158
Solutionsp. 169
Differential Equations Solvable by Quadraturep. 171
Existence and Uniqueness Theoremsp. 197
Linear Differential Equationsp. 243
The Method of Laplace Transformsp. 271
Integral Equationsp. 279
Numerical and Approximate Methods of Solving Differential and Integral Equationp. 297
First Order Partial Differential Equationsp. 324
Bibliographyp. 393
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792318903
ISBN-10: 0792318900
Series: Geojournal Library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 397
Published: 31st August 1992
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.39
Weight (kg): 0.75