发帖
雷达卡
Authors: Svetlin G. Georgiev
First book on time scale calculus
Pedagogical organization helps the reader to learn quickly
Analytical and numerical methods are covered
This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.
Table of contents
Front Matter
Pages i-ix
Elements of the Time Scale Calculus
Pages 1-75
Introductory Concepts of Integral Equations on Time Scales
Pages 77-129
Generalized Volterra Integral Equations
Pages 131-195
Generalized Volterra Integro-Differential Equations
Pages 197-225
Generalized Fredholm Integral Equations
Pages 227-299
Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels
Pages 301-319
The Laplace Transform Method
Pages 321-373
The Series Solution Method
Pages 375-393
Non-linear Generalized Integral Equations
Pages 395-397
Back Matter
Pages 399-402
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