Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1960's. 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 year's 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.
Download or read book A Course in Advanced Calculus written by Robert S. Borden and published by Courier Corporation. This book was released on 2012-09-11 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more. Carefully chosen problems appear at the end of each chapter, and this new edition features an additional appendix of tips and solutions for selected problems.
Download or read book Advanced Calculus of Several Variables written by C. H. Edwards and published by Academic Press. This book was released on 2014-05-10 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.
Download or read book Advanced Calculus written by Avner Friedman and published by Courier Corporation. This book was released on 2012-10-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.
Download or read book A Problems Based Course in Advanced Calculus written by John M. Erdman and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.
Download or read book Advanced Calculus written by James J. Callahan and published by Springer Science & Business Media. This book was released on 2010-09-09 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
Download or read book Advanced Calculus written by Harold M. Edwards and published by Springer Science & Business Media. This book was released on 1994-01-05 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.
Download or read book Advanced Calculus written by John Petrovic and published by CRC Press. This book was released on 2013-11-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them unders
Download or read book Advanced Calculus written by Frederick Shenstone Woods and published by . This book was released on 1926 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Calculus with Applications in Statistics written by André I. Khuri and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.
Download or read book Advanced Calculus written by Louis Brand and published by . This book was released on 1955 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Calculus written by William F. Trench and published by HarperCollins Publishers. This book was released on 1978 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Calculus with Applications written by Nicholas J. DeLillo and published by MacMillan. This book was released on 1982 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Calculus and Its Applications to the Engineering and Physical Sciences written by John C. Amazigo and published by . This book was released on 1980-09-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students have already been exposed. By supplementing and extending these subjects, the book demonstrates how the tools and ideas developed are vital to an understanding of advanced physical theories.
Download or read book Advanced Calculus written by G. B. Folland and published by Pearson. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For undergraduate courses in Advanced Calculus and Real Analysis. This text presents a unified view of calculus in which theory and practice reinforce each other. It covers the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard advanced calculus books.
Download or read book Advanced Calculus written by John Meigs Hubbell Olmsted and published by . This book was released on 1961 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
