Differential and Integral Equations through Practical Problems and Exercises by G. MiculaDifferential and Integral Equations through Practical Problems and Exercises by G. Micula

Differential and Integral Equations through Practical Problems and Exercises

byG. Micula

Paperback | December 15, 2010

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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.
Title:Differential and Integral Equations through Practical Problems and ExercisesFormat:PaperbackDimensions:406 pages, 9.45 × 6.3 × 0 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048141842

ISBN - 13:9789048141845

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Table of Contents

Introduction. Part I: Problems. 1. Differential Equations Solvable by Quadrature. 2. Existence and Uniqueness Theorems. 3. Linear Differential Equations. 4. The Method of Laplace Transforms. 5. Integral Equations. 6. Numerical and Approximate Methods of Solving Differential and Integral Equation. 7. First Order Partial Differential Equations. 8. Miscellaneous Problems. Part II: Solutions. 1. Differential Equations Solvable by Quadrature. 2. Existence and Uniqueness Theorems. 3. Linear Differential Equations. 4. The Method of Laplace Transforms. 5. Integral Equations. 6. Numerical and Approximate Methods of Solving Differential and Integral Equation. 7. First Order Partial Differential Equations. Bibliography.

Editorial Reviews

`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)