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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
Inhaltsangabe
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.
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.
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