advanced calculus of several variables dover books on mathematics

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Advanced Calculus Of Several Variables

Author : C. H. Edwards
ISBN : 9780486131955
Genre : Mathematics
File Size : 84. 2 MB
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Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

Advanced Calculus

Author : Avner Friedman
ISBN : 9780486137865
Genre : Mathematics
File Size : 88. 53 MB
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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.

Advanced Calculus

Author : Harold M. Edwards
ISBN : 9781461202714
Genre : Mathematics
File Size : 66. 80 MB
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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.

A Course In Advanced Calculus

Author : Robert S. Borden
ISBN : 9780486150383
Genre : Mathematics
File Size : 29. 77 MB
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An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.

Advanced Calculus

Author : Lynn Harold Loomis
ISBN : 9789814583954
Genre : Mathematics
File Size : 81. 3 MB
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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.

A Treatise On Advanced Calculus

Author : Philip Franklin
ISBN : 9780486807072
Genre : Mathematics
File Size : 87. 64 MB
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This classic offers a comprehensive logical treatment that concentrates on theory rather than on techniques and applications, providing students with a substantial base for graduate work in physics. 1940 edition.

Calculus Of Several Variables

Author : Serge Lang
ISBN : 9781461210689
Genre : Mathematics
File Size : 83. 33 MB
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This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

Advanced Calculus

Author : H.K Nickerson
ISBN : 9780486173740
Genre : Mathematics
File Size : 81. 11 MB
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Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition.

Functions Of Several Variables

Author : Wendell H Fleming
ISBN : 9781468494617
Genre : Mathematics
File Size : 83. 44 MB
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This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter on elementary topology makes the book more complete as an advanced calculus text, and sections have been added introducing physical applications in thermodynamics, fluid dynamics, and classical rigid body mechanics.

Advanced Calculus

Author : Patrick Fitzpatrick
ISBN : 0821847910
Genre : Mathematics
File Size : 29. 79 MB
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Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.

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