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 : 26. 5 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 : 27. 76 MB
Format : PDF
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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 : Louis Brand
ISBN : 9780486157993
Genre : Mathematics
File Size : 22. 16 MB
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A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs. 1955 edition.

Several Real Variables

Author : Shmuel Kantorovitz
ISBN : 9783319279565
Genre : Mathematics
File Size : 71. 50 MB
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This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.

A Course In Advanced Calculus

Author : Robert S. Borden
ISBN : 9780486150383
Genre : Mathematics
File Size : 31. 20 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 : H.K Nickerson
ISBN : 9780486173740
Genre : Mathematics
File Size : 52. 13 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.

Advanced Calculus

Author : David V. Widder
ISBN : 9780486134666
Genre : Mathematics
File Size : 61. 54 MB
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Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.

Mathematical Logic

Author : Stephen Cole Kleene
ISBN : 9780486317076
Genre : Mathematics
File Size : 58. 2 MB
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Lectures On The Mathematical Method In Analytical Economics

Author : Jacob T. Schwartz
ISBN : 9780486828039
Genre : Business & Economics
File Size : 44. 18 MB
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An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

A Treatise On Advanced Calculus

Author : Philip Franklin
ISBN : 9780486807072
Genre : Mathematics
File Size : 76. 60 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.

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