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. Loomis is a very difficult book. }. There's a problem loading this menu right now. This book is based on an honors course in advanced calculus that the authors gave in the 1960's.

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World Scientific; Revised edition (February 26, 2014). Unless one is exceptionally gifted and able to quickly assimilate abstract concepts, a solid course in one-variable real analysis is probably the minimal requirement for using this text (for example, the first 8 chapters of Rudin's Principles of Mathematical Analysis); the level of mathematical sophistication reached by the end of the book is such that it puts the student at a good spot to pursue graduate courses in modern analysis. What bugs me most is the horrible printing quality, with grayish letters and symbols and the failures in printing.

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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. --This text refers to the hardcover edition. 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.

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. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics.

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Uh-oh, it looks like your Internet Explorer is out of date. The result was Harvard's Math 55, a course that has now become famous for eating USAMO and IMO winners and spitting out wall street bankers mostly but quite a few preeminent math professors as well. Welcome back.

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. Copyright © 1995-2020 eBay Inc. All Rights Reserved. This shopping feature will continue to load items when the Enter key is pressed. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. This skill-building volume familiarizes students with the language, concepts, and standard theorems of analysis, preparing them to read the mathematical literature on their own. Reviewed in the United States on March 18, 2017. This book is self-contained and starts with the creation of basic tools using the completeness axiom.

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. Learn more about the program. Office hours will be at 4 on Tuesdays, and 5 on Wednesdays, in 2-175, Vedran Sohinger will hold office hours on Wednesdays from 1-2 in 2-312. 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. Of the countless number of texts entitled "Advanced Calculus", this is probably the most mathematically rigorous and challenging. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. 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.

Use up arrow (for mozilla firefox browser alt+up arrow) and down arrow (for mozilla firefox browser alt+down arrow) to review and enter to select. Download books for free. Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- You may also like, {"modules":["unloadOptimization","bandwidthDetection"],"unloadOptimization":{"browsers":{"Firefox":true,"Chrome":true}},"bandwidthDetection":{"url":"https://ir.ebaystatic.com/cr/v/c1/thirtysevens.jpg","maxViews":4,"imgSize":37,"expiry":300000,"timeout":250}}. Auto Suggestions are available once you type at least 3 letters. #1Bestseller in [pdf] [tuebl] [kindle] [epub] [mobi] [audiobook], #1 e-Book New Release. 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. Your recently viewed items and featured recommendations, Select the department you want to search in. function googleTranslateElementInit() { Highlight, take notes, and search in the book, In this edition, page numbers are just like the physical edition. However, only a reader with a strong ability to appreciate mathematical abstraction will enjoy and benefit from this text, and the level of mathematical maturity assumed is much higher than the formal prerequisites suggest.

This book is based on an honors course in advanced calculus that the authors gave in the 1960's. Use the Amazon App to scan ISBNs and compare prices.

Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.

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--This text refers to an alternate kindle_edition edition. The reader should also have some experience with partial derivatives. I have to read a few pages at a time as the concepts are not simple, but I am slowly getting through it. 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.

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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. I am currently thinking about reading Advanced Calculus by Loomis and Sternberg mainly … I have to read a few pages at a time as the concepts are not simple, but I am slowly getting through it. Books will be free of page markings. In addition there are two chapters on additional topics (potential theory and classical mechanics) that provide a valuable taste of these important topics for further study. -- Gary Walker, Ph.D-physics, Reviewed in the United States on March 19, 2018, Reviewed in the United States on October 1, 2017, Reviewed in the United States on August 31, 2017. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. The result was Harvard's Math 55, a course that has now become famous for eating USAMO and IMO winners and spitting out wall street bankers mostly but quite a few preeminent math professors as well. © 2020, E-bookdownloadfree.com.

Read reviews from world’s largest community for readers. 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. Warning: Very high levels of mathematical sophistication ahead! Javascript is not enabled in your browser. Reviewed in the United Kingdom on April 6, 2015. 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. For a better shopping experience, please upgrade now. Something we hope you'll especially enjoy: FBA items qualify for FREE Shipping and Amazon Prime.

This book presents linear algebra (a chapter on generalities that hold for all vector spaces, one specializing to the finite dimensional case, later on one about scalar product spaces, and one for multilinear algebra) and multivariable calculus (the differential of maps between normed vector spaces, a quicky on existence and uniqueness theorems for differential equations, and integration of differential forms on manifolds) in a way that makes clear the underlying simplicity and coherence of the subjects.