{"product_id":"advanced-calculus-revised-edition-9789814583930","title":"Advanced Calculus (Revised Edition)","description":"\u003cp\u003eExceeds maximum length of 2000 characters; It would still be good for a senior or first-year graduate course in analysis. The material is still all relevant  and the subject matter has not changed a lot in the past 50 years. The present book is positioned at a comfortable level of abstraction  and no more recent books have come out to compete with it at this level. MAA Reviews It remains as one of the most significant  progressive and sophisticated textbooks on topics in advanced calculus. The present new edition should be very welcome to the younger generations of students  teachers and researchers in mathematics and natural sciences  not only as a standard text but also as a reference work. W Kleinert Berlin An authorised reissue of the long out of print classic textbook  Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960s. The foundational material  presented in the unstarred sections of Chapters 1 through 11  was normally covered  but different applications of this basic material were stressed from year to year  and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a years course in advanced calculus  or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view  together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts  we mention Differential and Integral Calculus by R Courant  Calculus by T Apostol  Calculus by M Spivak  and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces  and a second half which deals with the calculus of differentiable manifolds.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45960534655029,"sku":"ByrdShop_9814583936","price":49.94,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9789814583930.jpg?v=1788290103","url":"https:\/\/atxbooks.com\/products\/advanced-calculus-revised-edition-9789814583930","provider":"ATX Books","version":"1.0","type":"link"}