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Differential and Integral Equations Through Practical Problems and Exercises

G. Micula

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ISBN 10: 9048141842 / ISBN 13: 9789048141845
Published by Springer
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397 pages. Dimensions: 9.2in. x 6.1in. x 0.9in.This volume presents a valuable and comprehensive collection of problems and exercises, together with guidelines and worked solutions, of a wide range of the most important commonly occurring differential and integral equations. The book is divided into two parts. Part I, which comprises eight chapters, contains the problems and exercises, and Part II, having eight corresponding chapters, presents the worked solutions. The various chapters deal, respectively, with: (1) the classical type of differential equations of first and higher order; (2) problems relating to existence and uniqueness theorems; (3) linear differential equations; (4) the method of the Laplace transform; (5) integral and integro-differential equations; (6) numerical and approximation methods; and (7) first-order partial differential equations. The final chapter (8) presents a miscellaneous selection of problems and exercises dealing with the deepest areas of differential, integral and partial differential equations. Many of the problems discussed are original, and all have been tried and tested in a teaching environment. This volume provides an invaluable guide to the solving of differential and integral equations and can be recommended to all researchers, students and teachers, whose work involves this fundamental aspect of mathematics. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9789048141845

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Bibliographic Details

Title: Differential and Integral Equations Through ...

Publisher: Springer

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title

Synopsis:

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.

Review:

`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)

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