Theory of Functions /

Theory of Functions / / J. F. Ritt.

Examines functions such as the real number system, the theory of limits, linear point sets, derivatives, curves, and series among other mathematical theories.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999
VerfasserIn:
Ritt, J. F.,
Place / Publishing House:New York, NY : : Columbia University Press, , [1947]
©1947
Year of Publication:1947
Language:English
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Physical Description:1 online resource (184 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • I. The Real Number System
  • II. Theory of Limits
  • III. Linear Point Sets
  • IV. Functions and Continuity
  • V. The Derivative
  • VI. Riemann Integration
  • VII. Infinite Series of Numbers
  • VIII. Sequences of Functions
  • IX. Infinite Series of Functions
  • X. Functions of Two Variables
  • XI. Complex and Hypercomplex Numbers
  • XII. Limits and Point Sets (Complex Domain)
  • XIII. Curves and Regions
  • XIV. Derivatives
  • XV. Continuous Curves
  • XVI. Rectifiable Curves
  • XVII. Curvilinear Integrals
  • XVIII. Jordan Curves
  • XIX. Analysis Situs of the Triangle
  • XX. The Cauchy Integral Theorem for Triangles
  • XXI. Extension of the Cauchy Integral Theorem to Polygons
  • XXII. The Cauchy Integral Theorem for a Rectifiable Curve
  • XXIII. The Cauchy Integral Theorem for Several Contours
  • XXIV. Preliminaries for Cauchy Integral Formula
  • XXV. The Cauchy Integral Formula and the Derivatives of an Analytic Function
  • XXVI. Infinite Sequences and Infinite Series of Analytic Functions
  • XXVII. Power Series
  • XXVIII. Taylor's Expansion
  • XXIX. Liouville's Theorem and the Fundamental Theorem of Algebra
  • XXX. On the Zeros of Analytic Functions
  • XXXI. Laurent Series
  • XXXII. Singularities of Analytic Functions
  • XXXIII. Products and Quotients of Analytic Functions
  • XXXIV. Rational Functions
  • XXXV. The Functions ez , sin z, cos z
  • XXXVI. Periodic Functions
  • XXXVII. Indefinite Integrals, Logarithms
  • XXXVIII. Infinite Products
  • XXXIX. The Weierstrass Factorization Theorem
  • XL. Meromorphic Functions and Mittag-Leffler's Theorem
  • XLI. Theory of Residues
  • XLII. Certain Important Theorems
  • XLIII. Variation of the Amplitude of a Continuous Function along a Continuous Curve
  • XLIV. The Functions n√z, log z
  • XLV. Analytic Continuation

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