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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.



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.



Methods of the Theory of Functions of Many Complex Variables

Methods of the Theory of Functions of Many Complex Variables Author Vasiliy Sergeyevich Vladimirov
ISBN-10 9780486458120
Release 2007-01
Pages 353
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This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.



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.



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.



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.



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.



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.



An Introduction to the Approximation of Functions

An Introduction to the Approximation of Functions Author Theodore J. Rivlin
ISBN-10 0486640698
Release 1969
Pages 150
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Mathematics of Computing -- Numerical Analysis.



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.



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.



Real Variable Methods in Harmonic Analysis

Real Variable Methods in Harmonic Analysis Author Alberto Torchinsky
ISBN-10 9781483268880
Release 2016-06-03
Pages 474
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Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.



Functions of Several Variables

Functions of Several Variables Author Wendell H Fleming
ISBN-10 9781468494617
Release 2012-12-06
Pages 412
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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.



Lectures on Measure and Integration

Lectures on Measure and Integration Author Harold Widom
ISBN-10 9780486810287
Release 2016-11-16
Pages 176
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These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts. Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.