Introduction To Finite And Infinite Series And Related Topics
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Introduction To Finite And Infinite Series And Related Topics
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Author : J. H. Heinbockel
language : en
Publisher: Trafford Publishing
Release Date : 2010-12
Introduction To Finite And Infinite Series And Related Topics written by J. H. Heinbockel and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12 with Mathematics categories.
An introduction to the analysis of finite series, infinite series, finite products and infinite products and continued fractions with applications to selected subject areas. Infinite series, infinite products and continued fractions occur in many different subject areas of pure and applied mathematics and have a long history associated with their development. The mathematics contained within these pages can be used as a reference book on series and related topics. The material can be used to augment the mathematices found in traditional college level mathematics course and by itself is suitable for a one semester special course for presentation to either upper level undergraduates or beginning level graduate students majoring in science, engineering, chemistry, physics, or mathematics. Archimedes used infinite series to find the area under a parabolic curve. The method of exhaustion is where one constructs a series of triangles between the arc of a parabola and a straight line. A summation of the areas of the triangles produces an infinite series representing the total area between the parabolic curve and the x-axis.
An Introduction To The Theory Of Infinite Series
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Author : Thomas John I'Anson Bromwich
language : en
Publisher:
Release Date : 1955
An Introduction To The Theory Of Infinite Series written by Thomas John I'Anson Bromwich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Series, Infinite categories.
Introduction To Infinite Series
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Author : William Fogg Osgood
language : en
Publisher:
Release Date : 1897
Introduction To Infinite Series written by William Fogg Osgood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with Mathematics categories.
Introduction To Finite And Infinite Dimensional Lie Super Algebras
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Author : Neelacanta Sthanumoorthy
language : en
Publisher: Academic Press
Release Date : 2016-04-26
Introduction To Finite And Infinite Dimensional Lie Super Algebras written by Neelacanta Sthanumoorthy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Mathematics categories.
Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras Focuses on Kac-Moody algebras
Infinite Sequences And Series
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Author : Konrad Knopp
language : en
Publisher: Courier Corporation
Release Date : 1956-06-01
Infinite Sequences And Series written by Konrad Knopp and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956-06-01 with Mathematics categories.
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
Introduction To The Theory Of Infinite Series
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Author : THOMAS JOHN I'ANSON. BROMWICH
language : en
Publisher:
Release Date : 2018
Introduction To The Theory Of Infinite Series written by THOMAS JOHN I'ANSON. BROMWICH and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
An Introduction To The Theory Of Infinite Series
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Author : Thomas John I'Anson Bromwich
language : en
Publisher: Theclassics.Us
Release Date : 2013-09
An Introduction To The Theory Of Infinite Series written by Thomas John I'Anson Bromwich and has been published by Theclassics.Us this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 edition. Excerpt: ...investigations. In numerical work, however, they naturally used only series which are now called asymptotic (Art. 130 below); in such series the terms begin to decrease, and reach a minimum, afterwards increasing. If we take the sum to a stage at which the terms The majority of writers on these series use the word divergent as including oscillatory Beries; we shall, however, except in quotations, adopt the same distinction as in the previous part of the book. are sufficiently small, we may hope to obtain an approximation with a degree of accurac' represented by the last term retained; and it can be proved that this is the case with many series which are convenient for numerical calculations (see Art. 130 for examples). An important class of such series consists of the series used by astronomers to calculate the planetary positions: it has been proved by Poincare that these series do not converge, but yet the results of the calculations are confirmed by observation. The explanation of this fact may be inferred from Poincare"s theory of asymptotic series (Art. 133). But mathematicians have often been led to employ series of a different character, in which the terms never decrease, and may increase to infinity. Typical examples of such series are: Euler considered the " sum " of a non-convergent series as the finite numerical value of the arithmetical expression from the expansion of which the series was derived. Thus he defined the "sums" of the series (l)-(3) as follows: (1)=i+l=J; (2)=(TTI)2=4; (3)=T+2=3; and his discussion of the series (4) will be found at the end of Art. 98 (see p. 267). In principle, Kuler's definition depends on the inversion of two limits, which, taken in one order, give a definite value, ...
Infinite Series
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Author : Isidore Isaac Hirschman
language : en
Publisher: Courier Corporation
Release Date : 2014-10-15
Infinite Series written by Isidore Isaac Hirschman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-15 with Mathematics categories.
This text for advanced undergraduate and graduate students presents a rigorous approach that also emphasizes applications. Encompassing more than the usual amount of material on the problems of computation with series, the treatment offers many applications, including those related to the theory of special functions. Numerous problems appear throughout the book. The first chapter introduces the elementary theory of infinite series, followed by a relatively complete exposition of the basic properties of Taylor series and Fourier series. Additional subjects include series of functions and the applications of uniform convergence; double series, changes in the order of summation, and summability; power series and real analytic functions; and additional topics in Fourier series. The text concludes with an appendix containing material on set and sequence operations and continuous functions. Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1962. See every Dover book in print at www.doverpublications.com
An Introduction To The Theory Of Infinite Series
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Author : Thomas John l'Anson Bromwich
language : en
Publisher:
Release Date : 1926
An Introduction To The Theory Of Infinite Series written by Thomas John l'Anson Bromwich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1926 with Series, Infinite categories.
Infinite Series
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Author : James M Hyslop
language : en
Publisher: Courier Corporation
Release Date : 2012-05-11
Infinite Series written by James M Hyslop and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Mathematics categories.
This concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication of series, more. 1959 edition.