{"product_id":"multidimensional-real-analysis-i-differentiation-hardback-9780521551144","title":"Multidimensional Real Analysis I; Differentiation (Hardback) 9780521551144","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMultidimensional Real Analysis I\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eDifferentiation\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003ePart one of a comprehensive text on multidimensional real analysis, including numerous exercises with partial solutions.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. J. Duistermaat (Author), J. A. C. Kolk (Author), J. P. van Braam Houckgeest (Translated by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521551144, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 May 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e444 pages, 25 b\/w illus.\u003cbr\u003e23.5 x 15.8 x 2.7 cm, 0.707 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'Throughout the notation is carefully organized and all proofs are complete and rigorous. The text is completed by carefully worked examples, many of them are illustrated by drawings. A special feature of the book is the extensive collection of exercises … The book is a good preparation for readers who wish to go on to more advanced studies in analysis. It can be also highly recommended as a  text for a  course or for self study.' Zentralblatt fur Mathematik\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003ePart one of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of differential analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Acknowledgements\u003cbr\u003e Introduction\u003cbr\u003e 1. Continuity\u003cbr\u003e 2. Differentiation\u003cbr\u003e 3. Inverse function and implicit function theorems\u003cbr\u003e 4. Manifolds\u003cbr\u003e 5. Tangent spaces\u003cbr\u003e Exercises\u003cbr\u003e Notation\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: 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]\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":46002392531224,"sku":"9780521551144","price":84.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521551144i_64dc94b0-286a-45b8-9226-4899aad79e43.jpg?v=1691369572","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/multidimensional-real-analysis-i-differentiation-hardback-9780521551144","provider":"Freshly Printed Books","version":"1.0","type":"link"}