📒 Advanced Calculus by Lynn Harold Loomis

Genre : Mathematics
Publisher : World Scientific Publishing Company
ISBN_10 : 9789814583954
Copyright Year : 2014-02-26
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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 :
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ISBN_10 : NYPL:33433074823653
Copyright Year : 1898
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📒 Year Book Armour Institute Of Technology by Armour Institute of Technology

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ISBN_10 : UIUC:30112114004523
Copyright Year : 1897
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📒 Annual Report Of The Regents by University of the State of New York

Genre : Education
Publisher :
ISBN_10 : UOM:39015076548836
Copyright Year : 1876
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No. 104-117 contain also the Regents bulletins.

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📒 Catalogue And Announcements by University of Minnesota

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ISBN_10 : UIUC:30112112215261
Copyright Year : 1895
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📒 Advanced Calculus by Wilfred Kaplan

Genre : Mathematics
Publisher : Pearson College Division
ISBN_10 : UCSC:32106015903948
Copyright Year : 2002
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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. 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 For all readers interested in advanced calculus.

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Genre : Mathematics
Publisher : Nelson Education
ISBN_10 : 9781337520393
Copyright Year : 2016-09-12
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Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course. 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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📒 Report Of The Regents by University of the State of New York

Genre : Education
Publisher :
ISBN_10 : CORNELL:31924106160801
Copyright Year : 1879
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ISBN_10 : UIUC:30112111550940
Copyright Year : 1881
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Genre : Mathematics
Publisher : Springer Science & Business Media
ISBN_10 : 3540665706
Copyright Year : 1999-12-14
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From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991

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