A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

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Opis: A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis - D. J. H. Garling

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume II goes on to consider metric and topological spaces and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.Introduction; Part I. Prologue: The Foundations of Analysis: 1. The axioms of set theory; 2. Number systems; Part II. Functions of a Real Variable: 3. Convergent sequences; 4. Infinite series; 5. The topology of R; 6. Continuity; 7. Differentiation; 8. Integration; 9. Introduction to Fourier series; 10. Some applications; Appendix: Zorn's lemma and the well-ordering principle; Index.


Szczegóły: A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis - D. J. H. Garling

Tytuł: A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis
Autor: D. J. H. Garling
Producent: Cambridge University Press
ISBN: 9781107614185
Rok produkcji: 2013
Ilość stron: 304
Oprawa: Miękka


Recenzje: A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis - D. J. H. Garling

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