History and Synopsis of the Theory of Summable Infinite Processes

History and Synopsis of the Theory of Summable Infinite Processes PDF Author: Lloyd Leroy Smail
Publisher:
ISBN:
Category : Processes, Infinite
Languages : en
Pages : 192

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History and Synopsis of the Theory of Summable Infinite Processes

History and Synopsis of the Theory of Summable Infinite Processes PDF Author: Lloyd Leroy Smail
Publisher:
ISBN:
Category : Processes, Infinite
Languages : en
Pages : 192

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History and Synopsis of the Theory of Summable Infinite Processes

History and Synopsis of the Theory of Summable Infinite Processes PDF Author: Lloyd Leroy Smail
Publisher:
ISBN:
Category :
Languages : en
Pages : 175

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History and Synopsis of the Theory of Summable Infinite Processes

History and Synopsis of the Theory of Summable Infinite Processes PDF Author: Lloyd L.. Smail
Publisher:
ISBN:
Category :
Languages : en
Pages : 175

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Summable Series and Convergence Factors

Summable Series and Convergence Factors PDF Author: Charles Napoleon Moore
Publisher: American Mathematical Soc.
ISBN: 0821846205
Category : Mathematics
Languages : en
Pages : 114

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Book Description
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

Infinite Series in a History of Analysis

Infinite Series in a History of Analysis PDF Author: Hans-Heinrich Körle
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110359839
Category : Mathematics
Languages : en
Pages : 142

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Book Description
"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.

Lectures on Summability

Lectures on Summability PDF Author: Alexander Peyerimhoff
Publisher: Springer
ISBN: 3540361529
Category : Mathematics
Languages : en
Pages : 113

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University of Oregon Publication

University of Oregon Publication PDF Author: University of Oregon
Publisher:
ISBN:
Category :
Languages : en
Pages : 876

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Mathematical Thought From Ancient to Modern Times, Volume 3

Mathematical Thought From Ancient to Modern Times, Volume 3 PDF Author: Morris Kline
Publisher: Oxford University Press
ISBN: 0199770484
Category : Mathematics
Languages : en
Pages : 439

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Book Description
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.

Publications

Publications PDF Author: University of Oregon
Publisher:
ISBN:
Category :
Languages : en
Pages : 876

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The American Mathematical Monthly

The American Mathematical Monthly PDF Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 644

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Book Description
Includes section "Recent publications."