Product Integration with Application to Differential Equations

Erscheinungsjahr 2011
ISBN: 978-0-521-17737-5
Verlag: Cambridge University Press

Buch, Englisch, Band 10, 286 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 439 g

Reihe: Encyclopedia of Mathematics and its Applications

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.

Autoren/Hrsg.

Dollard, John Day

Friedman, Charles N.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen

Inhaltsverzeichnis

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.