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Theory of Functions of a Complex Variable, Vol 1
 
Theory of Functions of a Complex Variable, Vol 1
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-4075-6
Product Code:  CHEL/97.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Theory of Functions of a Complex Variable, Vol 1
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Theory of Functions of a Complex Variable, Vol 1
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-4704-4075-6
Product Code:  CHEL/97.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 971954; 304 pp
    MSC: Primary 30; 01;

    This book is a translation by F. Steinhardt of the last of Carathéodory's celebrated text books, Funktiontheorie, Volume 1.

  • Table of Contents
     
     
    • Front Cover
    • Title page
    • Copyright
    • Translator’s preface
    • Editor’s preface
    • Author’s preface
    • Contents
    • Part One: Complex numbers
    • Chapter I. The complex numbers from the algebraic point of view
    • Chapter II. The geometry of the complex numbers
    • Chapter III. Euclidean, spherical, and non-Euclidean geometry
    • Part Two: Some results from point set theory and from topology
    • Chapter I. Convergent sequences of numbers and continuous complex functions
    • Chapter II. Curves and regions
    • Chapter III. Contour integration
    • Part Three: Analytic functions
    • Chapter I. Foundations of the theory
    • Chapter II. The maximum-modulus principle
    • Chapter III. The Poisson integral and harmonic functions
    • Chapter IV. Meromorphic functions
    • Part Four: Analytic functions defined by limiting processes
    • Chapter I. Continuous convergence
    • Chapter II. Normal families of meromorphic functions
    • Chapter III. Power series
    • Chapter IV. Partial-fraction decomposition and the calculus of residues
    • Part Five: Special functions
    • Chapter I. The exponential and trigonometric functions
    • Chapter II. The logarithmic function and the general power function
    • Chapter III. The Bernoulli numbers and the gamma function
    • Index
    • Untitled
  • Additional Material
     
     
  • Reviews
     
     
    • A book by a master ... Carathéodory himself regarded [it] as his finest achievement ... written from a catholic point of view.

      Bulletin of the AMS
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 971954; 304 pp
MSC: Primary 30; 01;

This book is a translation by F. Steinhardt of the last of Carathéodory's celebrated text books, Funktiontheorie, Volume 1.

  • Front Cover
  • Title page
  • Copyright
  • Translator’s preface
  • Editor’s preface
  • Author’s preface
  • Contents
  • Part One: Complex numbers
  • Chapter I. The complex numbers from the algebraic point of view
  • Chapter II. The geometry of the complex numbers
  • Chapter III. Euclidean, spherical, and non-Euclidean geometry
  • Part Two: Some results from point set theory and from topology
  • Chapter I. Convergent sequences of numbers and continuous complex functions
  • Chapter II. Curves and regions
  • Chapter III. Contour integration
  • Part Three: Analytic functions
  • Chapter I. Foundations of the theory
  • Chapter II. The maximum-modulus principle
  • Chapter III. The Poisson integral and harmonic functions
  • Chapter IV. Meromorphic functions
  • Part Four: Analytic functions defined by limiting processes
  • Chapter I. Continuous convergence
  • Chapter II. Normal families of meromorphic functions
  • Chapter III. Power series
  • Chapter IV. Partial-fraction decomposition and the calculus of residues
  • Part Five: Special functions
  • Chapter I. The exponential and trigonometric functions
  • Chapter II. The logarithmic function and the general power function
  • Chapter III. The Bernoulli numbers and the gamma function
  • Index
  • Untitled
  • A book by a master ... Carathéodory himself regarded [it] as his finest achievement ... written from a catholic point of view.

    Bulletin of the AMS
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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