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The Theory of Functions of Real Variables

The Theory of Functions of Real Variables Author Lawrence M Graves
ISBN-10 9780486158136
Release 2012-01-27
Pages 400
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This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.



The Theory of Functions of Real Variables

The Theory of Functions of Real Variables Author Lawrence M. Graves
ISBN-10 1258803240
Release 2013-09
Pages 310
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The Theory of Functions of Real Variables has been writing in one form or another for most of life. You can find so many inspiration from The Theory of Functions of Real Variables also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Theory of Functions of Real Variables book for free.



Theory of Functions of a Real Variable

Theory of Functions of a Real Variable Author I.P. Natanson
ISBN-10 9780486806433
Release 2016-08-17
Pages 560
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Long out-of-print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1960 editions.



Elementary Theory of Analytic Functions of One or Several Complex Variables

Elementary Theory of Analytic Functions of One or Several Complex Variables Author Henri Cartan
ISBN-10 9780486318677
Release 2013-04-22
Pages 228
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Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.



Real Variables with Basic Metric Space Topology

Real Variables with Basic Metric Space Topology Author Robert B. Ash
ISBN-10 9780486151496
Release 2014-07-28
Pages 224
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Designed for a first course in real variables, this text encourages intuitive thinking and features detailed solutions to problems. Topics include complex variables, measure theory, differential equations, functional analysis, probability. 1993 edition.



Complex Variables

Complex Variables Author Robert B. Ash
ISBN-10 9780486462509
Release 1971
Pages 214
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This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.



Applied Complex Variables

Applied Complex Variables Author John W. Dettman
ISBN-10 9780486158280
Release 2012-05-07
Pages 512
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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.



Functions of Several Real Variables

Functions of Several Real Variables Author Martin Moskowitz
ISBN-10 9789813100916
Release 2011-04-29
Pages 732
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This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration such as the Inverse and Implicit Function theorems, Lagrange's multiplier rule, Fubini's theorem, the change of variables formula, Green's, Stokes' and Gauss' theorems are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one result upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify matters and teach the reader how to apply these results and solve problems in mathematics, the other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Sard's theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer's fixed point theorem, Whitney's embedding theorem, Picard's theorem, and Hermite polynomials are discussed in stared sections.



Complex Variables

Complex Variables Author Stephen D. Fisher
ISBN-10 9780486406794
Release 1999-02-16
Pages 427
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Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.



Problem Book in the Theory of Functions Problems in the elementary theory of functions translated by L Bers

Problem Book in the Theory of Functions  Problems in the elementary theory of functions  translated by L  Bers Author Konrad Knopp
ISBN-10 MINN:319510005426351
Release 1948
Pages
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Problem Book in the Theory of Functions Problems in the elementary theory of functions translated by L Bers has been writing in one form or another for most of life. You can find so many inspiration from Problem Book in the Theory of Functions Problems in the elementary theory of functions translated by L Bers also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Problem Book in the Theory of Functions Problems in the elementary theory of functions translated by L Bers book for free.



Elements of Real Analysis

Elements of Real Analysis Author David A. Sprecher
ISBN-10 9780486153254
Release 2012-04-25
Pages 368
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Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.



Complex Variables for Scientists and Engineers

Complex Variables for Scientists and Engineers Author John D. Paliouras
ISBN-10 9780486493473
Release 2014-02-20
Pages 586
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Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.



Complex Variables

Complex Variables Author Francis J. Flanigan
ISBN-10 9780486613888
Release 1972
Pages 353
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Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.



Theory of Functions of a Real Variable

Theory of Functions of a Real Variable Author Shlomo Sternberg
ISBN-10 1616100788
Release 2009-09-01
Pages 393
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Theory of Functions of a Real Variable has been writing in one form or another for most of life. You can find so many inspiration from Theory of Functions of a Real Variable also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Theory of Functions of a Real Variable book for free.



Theory of Functions of a Complex Variable

Theory of Functions of a Complex Variable Author A. I. Markushevich
ISBN-10 9780821837801
Release 2005
Pages 1138
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Theorems are presented in a logical way and are carefully proved, making this a most useful book for students. --Choice This magnificent textbook, translated from the Russian, was first published in 1965-1967. The book covers all aspects of the theory of functions of one complex variable. The chosen proofs give the student the best `feel' for the subject. The watchwords are clarity and straightforwardness. The author was a leading Soviet function-theorist: It is seldom that an expert of his stature puts himself so wholly at the service of the student. This book includes over 150 illustrations and 700 exercises.



Mathematics

Mathematics Author A. D. Aleksandrov
ISBN-10 9780486157870
Release 2012-05-07
Pages 1120
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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.



Introductory Complex Analysis

Introductory Complex Analysis Author Richard A. Silverman
ISBN-10 9780486318523
Release 2013-04-15
Pages 400
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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.