Summable Series and Convergence Factors
Summable Series and Convergence Factors

Author: Charles Napoleon Moore

Publisher: American Mathematical Soc.

Published: 1938-12-31

Total Pages: 114

ISBN-13: 0821846205

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Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review.... Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable.... --Bulletin of the American Mathematical Society

Mathematical Thought From Ancient to Modern Times, Volume 3
Mathematical Thought From Ancient to Modern Times, Volume 3

Author: Morris Kline

Publisher: Oxford University Press

Published: 1990-03-01

Total Pages: 440

ISBN-13: 0199840431

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This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

Excursions in Calculus
Excursions in Calculus

Author: Robert M. Young

Publisher: Cambridge University Press

Published: 1992

Total Pages: 436

ISBN-13: 9780883853177

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This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.

Classical Complex Analysis
Classical Complex Analysis

Author: Mario Gonzalez

Publisher: CRC Press

Published: 1991-09-24

Total Pages: 796

ISBN-13: 9780824784157

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Text on the theory of functions of one complex variable contains, with many elaborations, the subject of the courses and seminars offered by the author over a period of 40 years, and should be considered a source from which a variety of courses can be drawn. In addition to the basic topics in the cl