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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.

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Genre: Mathematics
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
Release: 2014-02-26
File: 596 Pages
ISBN-13: 9789814583954

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The Fifth Edition of this leading text offers substantial training in vectors and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, because of their practical value and the insights they give about theory. KEY TOPICS: Vectors and Matrices; Differential Calculus of Functions of Several Variables; Vector Differential Calculus; Integral Calculus of Functions of Several Variables; Vector Integral Calculus; Two-Dimensional Theory; Three-Dimensional Theory and Applications; Infinite Series; Fourier Series and Orthogonal Functions; Functions of a Complex Variable; Ordinary Differential Equations; Partial Differential Equations MARKET: For all readers interested in advanced calculus.

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Genre: Mathematics
Author: Wilfred Kaplan
Publisher: Pearson College Division
Release: 2002
File: 741 Pages
ISBN-13: UCSC:32106015903948

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Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, BIREF, Tenth Edition, motivates your study while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show you the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. The Tenth Edition builds upon its applications emphasis through updated exercises and relevant examples. Throughout the text, features such as algebra review and study tips,- provide you with extra guidance and practice. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. Additionally, the companion website, LarsonAppliedCalculus.com, offers free access to multiple tools and resources. CalcChat.com offers free step-by-step solutions to the odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

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Genre: Mathematics
Author: Ron Larson
Publisher: Nelson Education
Release: 2016-01-28
File: 640 Pages
ISBN-13: 9781337268707

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Genre:
Author: University of Minnesota
Publisher:
Release: 1895
File: Pages
ISBN-13: MINN:319510024825552

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Product Details :

Genre:
Author: University of Minnesota
Publisher:
Release: 1897
File: Pages
ISBN-13: PRNC:32101057343731

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Genre:
Author: University of Minnesota
Publisher:
Release: 1899
File: Pages
ISBN-13: UIUC:30112112215238

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Genre: Engineering
Author:
Publisher:
Release: 1898
File: Pages
ISBN-13: MINN:31951D00116508C

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Genre: Mathematics
Author: V. P. Orevkov
Publisher: American Mathematical Soc.
Release: 1971
File: 229 Pages
ISBN-13: 0821818988

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Genre:
Author:
Publisher:
Release: 1893
File: Pages
ISBN-13: NYPL:33433074823638

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Genre: Ohio
Author: Ohio
Publisher:
Release: 1887
File: Pages
ISBN-13: OSU:32435072542418

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