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Product Integration with Application to Differential Equations : Encyclopedia of Mathematics and Its Applications - John Day Dollard

Product Integration with Application to Differential Equations

Encyclopedia of Mathematics and Its Applications

Hardcover Published: 21st January 2011
ISBN: 9780521302302
Number Of Pages: 286

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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.

'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

Editor's statement
Section editor's statement
Preface
Product integration of matrix-valued functions
Contour product integration
Strong product integration
Applications
Product integration of measures
Complements; other work and further results on product integration
Appendces
References
Notes to the references
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521302302
ISBN-10: 0521302307
Series: Encyclopedia of Mathematics and Its Applications : Book 10
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 286
Published: 21st January 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.8
Weight (kg): 0.58