{"product_id":"a-course-in-mathematical-analysis-hardback-9781107032026","title":"A Course in Mathematical Analysis (Hardback) 9781107032026","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Course in Mathematical Analysis\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe first volume of three providing a full and detailed account of undergraduate mathematical analysis.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eD. J. H. Garling (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107032026, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 25 April 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e318 pages, 21 b\/w illus.  340 exercises\u003cbr\u003e24.9 x 18 x 2.3 cm, 0.72 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'These three volumes cover very thoroughly the whole of undergraduate analysis and much more besides.' John Baylis, The Mathematical Gazette\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e Part I. Prologue: The Foundations of Analysis: 1. The axioms of set theory\u003cbr\u003e 2. Number systems\u003cbr\u003e Part II. Functions of a Real Variable: 3. Convergent sequences\u003cbr\u003e 4. Infinite series\u003cbr\u003e 5. The topology of R\u003cbr\u003e 6. Continuity\u003cbr\u003e 7. Differentiation\u003cbr\u003e 8. Integration\u003cbr\u003e 9. Introduction to Fourier series\u003cbr\u003e 10. Some applications\u003cbr\u003e Appendix: Zorn's lemma and the well-ordering principle\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Complex analysis, complex variables [\u003ca title=\"See our other books on Complex analysis, complex variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Complex%20analysis,%20complex%20variables%20%5BPBKD%5D%22\"\u003ePBKD\u003c\/a\u003e], Real analysis, real variables [\u003ca title=\"See our other books on Real analysis, real variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Real%20analysis,%20real%20variables%20%5BPBKB%5D%22\"\u003ePBKB\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004160299288,"sku":"9781107032026","price":98.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107032026i_e39caf47-e04e-4d51-9a49-bce76a9d60f8.jpg?v=1691361384","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-course-in-mathematical-analysis-hardback-9781107032026","provider":"Freshly Printed Books","version":"1.0","type":"link"}