Course in Modern Analysis and Its Applications

Klappentext Designed for one-semester courses at the senior undergraduate level! this book is written for mathematics students and teachers! as well as others needing to learn mathematical analysis for engineering! physics! biology or finance. Nominal divisions between pure and applied mathematics have been merged to provide easier access. Applications are included from differential and integral equations! systems of linear algebraic equations! approximation theory! numerical analysis and quantum mechanics. Zusammenfassung Designed for one-semester courses for senior undergraduates! this 2003 book approaches topics initially through convergence of sequences in metric space. However! the alternative topological approach is also described. Applications are included from differential and integral equations! systems of linear algebraic equations! approximation theory! numerical analysis and quantum mechanics. Inhaltsverzeichnis Preface; 1. Prelude to modern analysis; 2. Metric spaces; 3. The fixed point theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings on normed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.

Product details

• Authors: Graeme L. Cohen, Graeme L. (University of Technology Cohen
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 30.06.2003
• EAN: 9780521526272
• ISBN: 978-0-521-52627-2
• No. of pages: 348
• Series: Australian Mathematical Society Lecture Series; Australian Mathematical Societ
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis