Theory of Functions / / J. F. Ritt.

• 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
• Physical Description: 1 online resource (184 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9780231898300; 9783110442489
• DOI: 10.7312/ritt94362
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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.