The Theory of Functions of Real Variables

The Theory of Functions of Real Variables PDF Author: Lawrence M Graves
Publisher: Courier Corporation
ISBN: 0486158136
Category : Mathematics
Languages : en
Pages : 361

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Book Description
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 PDF Author: Lawrence M Graves
Publisher: Courier Corporation
ISBN: 0486158136
Category : Mathematics
Languages : en
Pages : 361

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Book Description
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 PDF Author: Shlomo Sternberg
Publisher: Orange Grove Texts Plus
ISBN: 9781616100780
Category :
Languages : en
Pages : 0

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Book Description
This text is for a beginning graduate course in real variables and functional analysis. It assumes that the student has seen the basics of real variable theory and point set topology. Contents: 1) The topology of metric spaces. 2) Hilbert Spaces and Compact operators. 3) The Fourier Transform. 4) Measure theory. 5) The Lebesgue integral. 6) The Daniell integral. 7) Wiener measure, Brownian motion and white noise. 8) Haar measure. 9) Banach algebras and the spectral theorem. 10) The spectral theorem. 11) Stone's theorem. 12) More about the spectral theorem. 13) Scattering theory.

Theory of Functions of a Complex Variable

Theory of Functions of a Complex Variable PDF Author: A. I. Markushevich
Publisher: American Mathematical Soc.
ISBN: 082183780X
Category : Analytic functions
Languages : en
Pages : 1178

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Book Description


Functions of a Real Variable

Functions of a Real Variable PDF Author: N. Bourbaki
Publisher: Springer Science & Business Media
ISBN: 3642593151
Category : Mathematics
Languages : en
Pages : 343

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Book Description
This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

The Theory of Functions of a Real Variable (Second Edition)

The Theory of Functions of a Real Variable (Second Edition) PDF Author: Ralph Jeffery
Publisher: University of Toronto Press
ISBN: 9781487592042
Category : Education
Languages : en
Pages : 0

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Book Description
This textbook leads the reader by easy stages through the essential parts of the theory of sets and theory of measure to the properties of the Lebesgue integral. The first part of the book gives a general introduction to functions of a real variable, measure, and integration, while the second part treats the problem of inverting the derivative of continuous functions, leading to the Denjoy integrals, and studies the derivates and approximate derivates of functions of a real variable on arbitrary linear sets. The author considers the presentation of this second part as the main purpose of his book.

Intermediate Analysis

Intermediate Analysis PDF Author: John Meigs Hubbell Olmsted
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 332

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Book Description


The Theory of Functions of a Real Variable and the Theory of Fourier's Series

The Theory of Functions of a Real Variable and the Theory of Fourier's Series PDF Author: Ernest William Hobson
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 791

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Book Description


Theory of Functions of a Real Variable

Theory of Functions of a Real Variable PDF Author: I. P. Natanson
Publisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 0

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Book Description


Function Theory of Several Complex Variables

Function Theory of Several Complex Variables PDF Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 0821827243
Category : Mathematics
Languages : en
Pages : 586

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Book Description
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

Methods of the Theory of Functions of Many Complex Variables

Methods of the Theory of Functions of Many Complex Variables PDF Author: Vasiliy Sergeyevich Vladimirov
Publisher: Courier Corporation
ISBN: 0486458121
Category : Mathematics
Languages : en
Pages : 370

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Book Description
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.