Description: A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis The first volume of three providing a full and detailed account of undergraduate mathematical analysis. D. J. H. Garling (Author) 9781107614185, Cambridge University Press Paperback, published 25 April 2013 318 pages 24.4 x 17.3 x 1.8 cm, 0.51 kg 'These three volumes cover very thoroughly the whole of undergraduate analysis and much more besides.' John Baylis, The Mathematical Gazette 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 2 goes on to consider metric and topological spaces and functions of several variables. Volume 3 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. Subject Areas: Complex analysis, complex variables [PBKD], Real analysis, real variables [PBKB], Mathematics [PB]
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BIC Subject Area 1: Complex analysis, complex variables [PBKD]
BIC Subject Area 2: Real analysis, real variables [PBKB]
BIC Subject Area 3: Mathematics [PB]
Number of Pages: 318 Pages
Publication Name: A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis
Language: English
Publisher: Cambridge University Press
Item Height: 244 mm
Subject: Mathematics
Publication Year: 2013
Type: Textbook
Item Weight: 510 g
Author: D. J. H. Garling
Item Width: 173 mm
Format: Paperback
