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An Introductory Course in Summability Theory by Ants Aasma (English) Hardcover B

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
ISBN-13
9781119397694
Book Title
An Introductory Course in Summability Theory
ISBN
9781119397694
Publication Year
2017
Type
Textbook
Format
Hardcover
Language
English
Publication Name
An Introductory Course in Summability Theory
Item Height
229mm
Author
Hemen Dutta, P. N. Natarajan, Ants Aasma
Publisher
John Wiley and Sons Ltd
Item Width
160mm
Subject
Mathematics
Item Weight
478g
Number of Pages
224 Pages

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Product Information

An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors' intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Noerlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Cesaro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. * Discusses results on matrix transforms of several matrix methods * The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory * Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods * Matrix transforms of summability domains of regular perfect matrix methods are examined * Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.

Product Identifiers

Publisher
John Wiley and Sons Ltd
ISBN-13
9781119397694
eBay Product ID (ePID)
237321324

Product Key Features

Author
Hemen Dutta, P. N. Natarajan, Ants Aasma
Publication Name
An Introductory Course in Summability Theory
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2017
Type
Textbook
Number of Pages
224 Pages

Dimensions

Item Height
229mm
Item Width
160mm
Item Weight
478g

Additional Product Features

Title_Author
Ants Aasma, Hemen Dutta, P. N. Natarajan
Country/Region of Manufacture
United States

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Btw-nummer:
  • AU 82107909133
  • GB 293967539
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