History And Synopsis Of The Theory Of Summable Infinite Processes

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Summable Series and Convergence Factors

Author : Charles Napoleon Moore
Publisher : American Mathematical Soc.
Page : 114 pages
File Size : 41,8 Mb
Release : 1938-12-31
Category : Mathematics
ISBN : 9780821846209

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Summable Series and Convergence Factors by Charles Napoleon Moore Pdf

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

Lectures on Summability

Author : Alexander Peyerimhoff
Publisher : Springer
Page : 113 pages
File Size : 53,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540361527

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Lectures on Summability by Alexander Peyerimhoff Pdf

Infinite Matrices and Sequence Spaces

Author : Richard G. Cooke
Publisher : Courier Corporation
Page : 370 pages
File Size : 47,9 Mb
Release : 2014-06-10
Category : Mathematics
ISBN : 9780486795065

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Infinite Matrices and Sequence Spaces by Richard G. Cooke Pdf

Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.

Classical Complex Analysis

Author : Mario Gonzalez
Publisher : CRC Press
Page : 796 pages
File Size : 40,7 Mb
Release : 1991-09-24
Category : Mathematics
ISBN : 0824784154

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Classical Complex Analysis by Mario Gonzalez Pdf

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

Mathematical Thought From Ancient to Modern Times, Volume 3

Author : Morris Kline
Publisher : Oxford University Press
Page : 440 pages
File Size : 40,9 Mb
Release : 1990-03-01
Category : Mathematics
ISBN : 9780199840434

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Mathematical Thought From Ancient to Modern Times, Volume 3 by Morris Kline Pdf

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.

Infinite Series in a History of Analysis

Author : Hans-Heinrich Körle
Publisher : Walter de Gruyter GmbH & Co KG
Page : 142 pages
File Size : 53,5 Mb
Release : 2015-09-25
Category : Mathematics
ISBN : 9783110359831

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Infinite Series in a History of Analysis by Hans-Heinrich Körle Pdf

"Higher mathematics" once pointed towards the involvement of infinity. This we label analysis. The ancient Greeks had helped it to a first high point when they mastered the infinite. The book traces the history of analysis along the risky route of serial procedures through antiquity. It took quite long for this type of mathematics to revive in our region. When and where it did, infinite series proved the driving force. Not until a good two millennia had gone by, would analysis head towards Greek rigor again. To follow all that trial, error and final accomplishment, is more than studying history: It provides touching, worthwhile access to advanced calculus. Moreover, some steps beyond convergence show infinite series to naturally fit a wider frame.

Excursions in Calculus

Author : Robert M. Young
Publisher : American Mathematical Soc.
Page : 429 pages
File Size : 47,8 Mb
Release : 1992-10-01
Category : Mathematics
ISBN : 9781470457204

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Excursions in Calculus by Robert M. Young Pdf

This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.

Complex Analysis

Author : Mario Gonzalez
Publisher : Routledge
Page : 544 pages
File Size : 51,9 Mb
Release : 2018-03-09
Category : Mathematics
ISBN : 9781351459389

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Complex Analysis by Mario Gonzalez Pdf

A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu

Oxford, Cambridge, and Dublin Messenger of Mathematics

Author : William Allen Whitworth,Charles Taylor,James Whitbread Lee Glaisher
Publisher : Unknown
Page : 398 pages
File Size : 40,8 Mb
Release : 1928
Category : Mathematics
ISBN : CHI:63400693

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Oxford, Cambridge, and Dublin Messenger of Mathematics by William Allen Whitworth,Charles Taylor,James Whitbread Lee Glaisher Pdf

Mathematical Book Review Index, 1800-1940

Author : Louise S. Grinstein
Publisher : Taylor & Francis
Page : 496 pages
File Size : 43,6 Mb
Release : 1992
Category : Education
ISBN : 0824041143

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Mathematical Book Review Index, 1800-1940 by Louise S. Grinstein Pdf

This work provides access to approximately 5,000 reviews of English-language mathematical books published in North America. Included are works on mathematics, science, philosophy, and education appearing in the periodical literature from 1800 to 1940. It covers materials not reviewed in Book Review Index and Book Review Digest. It predates Mathematical Reviews, which first appeared in 1940. Books on all aspects of mathematics are included. There are subject, reviewer, and title indexes.

University of Oregon Publication

Author : University of Oregon
Publisher : Unknown
Page : 876 pages
File Size : 50,8 Mb
Release : 1923
Category : Electronic
ISBN : CHI:103609846

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University of Oregon Publication by University of Oregon Pdf

Publications

Author : University of Oregon
Publisher : Unknown
Page : 876 pages
File Size : 49,8 Mb
Release : 1923
Category : Electronic
ISBN : UOM:39015074754410

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Publications by University of Oregon Pdf