This book is a student guide to the applications of differential and integral calculus to vectors. I only wish I had read this book early on in my undergraduate career. I don't recommend this edition; look for a used copy instead or just plain xerox copy the parts of the book that you want or need from the nearest library -- the final quality of your copy will be superior. Please try again. Uh-oh, it looks like your Internet Explorer is out of date. The title isn't really accurate too, it's not really calculus, but more differential geometry and analysis. You can view Barnes & Noble’s Privacy Policy. It is well written and presented. Prime members enjoy FREE Delivery and exclusive access to music, movies, TV shows, original audio series, and Kindle books. Kids these days! This book is based on an honors course in advanced calculus that the authors gave in the 1960's. I don't think that you need to be a "will-be" mathematician or some kind of genius to understand this book like some comment says, because I managed to get much out of this book. Please try again. 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. , a better option. I had taken a look at that book, and it seems to be that the book treats the vector calculus… The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. 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. View cart for details. Moreover, the authors provide a large amount of abstract linear and multilinear algebraic background, in order to fully develop these concepts, so this text serves as an general introduction to many important concepts and techniques of modern mathematics like duality and natural isomorphisms. Reviewed in the United States on April 19, 2017, This is a beautifully done reprinting of a famous classic. The official titles of the course are Honors Abstract Algebra (Math 55a) and Honors Real and Complex Analysis (Math 55b). 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. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. The material is structured to benefit those students whose interests lean toward either research in mathematics or its applications. Do you believe that this item violates a copyright? The aim is to assist the reader to acquire good proficiency in algebraic manipulation that can be used in critically assessing the results obtained from using graphics calculators and algebraic software packages. Despite the title, this is a classic textbook written by two of the 20th century's preeminent mathematicians on the topic of abstract analysis in Banach spaces for differential calculus (the so-called Frechet derivative) and smooth manifolds for integral calculus (as the setting for the generalized Stokes theorem). Goodreads helps you keep track of books you want to read. The lowest-priced brand-new, unused, unopened, undamaged item in its original packaging (where packaging is applicable).Packaging should be the same as what is found in a retail store, unless the item is handmade or was packaged by the manufacturer in non-retail packaging, such as an unprinted box or plastic bag.See details for additional description. 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.
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