Course in Mathematical Analysis - Spaces, Functions of a Vector Variabl

Informationen zum Autor D. J. H. Garling is Emeritus Reader in Mathematical Analysis at the University of Cambridge. He has 50 years' experience of teaching undergraduate students in most areas of pure mathematics, but particularly in analysis. Klappentext The second volume of three providing a full and detailed account of undergraduate mathematical analysis. Zusammenfassung This is the second of three volumes that provide a full and detailed account of all those elements of real and complex analysis the undergraduate mathematics student can expect to encounter in their first two or three years of study. Numerous exercises! examples and applications are included. Inhaltsverzeichnis Introduction; Part I. Metric and Topological Spaces: 1. Metric spaces and normed spaces; 2. Convergence, continuity and topology; 3. Topological spaces; 4. Completeness; 5. Compactness; 6. Connectedness; Part II. Functions of a Vector Variable: 7. Differentiating functions of a vector variable; 8. Integrating functions of several variables; 9. Differential manifolds in Euclidean space; Appendix A. Linear algebra; Appendix B. Quaternions; Appendix C. Tychonoff's theorem; Index.

Product details

• Authors: D. J. H. Garling, D. J. H. (University of Cambridge) Garling, Garling D. J. H.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 23.01.2014
• EAN: 9781107675322
• ISBN: 978-1-107-67532-2
• No. of pages: 336
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Mathematics, geometry, Topology, Calculus and mathematical analysis