Product Integration with Application to Differential Equations

by John Day Dollard, Charles N. Friedman

Overview

Originally published in 1979, this book shows the beautiful simplifications that can be brought to the theory of differential equations by treating such equations from the product integral viewpoint. The first chapter of the book, dealing with linear ordinary differential equations, should be accessible to anyone with a knowledge of matrix theory and elementary calculus. Later chapters assume more sophistication on the part of the reader. The essential unity of these subjects is illustrated by the fact that the idea of the product integral can be naturally and effectively used to deal with all of them.

Product Details

ISBN-13:	9780521302302
Publisher:	Cambridge University Press
Publication date:	12/28/1984
Series:	Encyclopedia of Mathematics and its Applications , #10
Pages:	286
Product dimensions:	6.14(w) x 9.21(h) x 0.71(d)

Table of Contents

Editor's statement; Section editor's statement; Preface; 1. Product integration of matrix-valued functions; 2. Contour product integration; 3. Strong product integration; 4. Applications; 5. Product integration of measures; 6. Complements; other work and further results on product integration; Appendices; References; Notes to the references.

Editorial Reviews

Review of the hardback: 'This book is an attractive, elementary introduction to the product integral and includes a general survey of the subject by P. R. Masani'. American Mathematical Monthly

From the Publisher