Theory and Application of Infinite Series

Author: Konrad Knopp

Publisher: Courier Corporation

ISBN: 0486661652

Category: Mathematics

Page: 563

View: 888

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This unusually clear and interesting classic offers a thorough and reliable treatment of an important branch of higher analysis. The work covers real numbers and sequences, foundations of the theory of infinite series, and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, and other topics). Exercises throughout. Ideal for self-study.
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Theory and Application of Infinite Series

Author: Konrad Knopp

Publisher: Courier Corporation

ISBN: 0486318613

Category: Mathematics

Page: 592

View: 6136

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Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises.
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Theory and Application of Infinite Series - Scholar's Choice Edition

Author: Konrad Knopp

Publisher: N.A

ISBN: 9781297031687

Category:

Page: 580

View: 2550

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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Elements of the Theory of Functions

Author: Konrad Knopp

Publisher: Courier Dover Publications

ISBN: 0486165604

Category: Mathematics

Page: 160

View: 9187

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Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.
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Infinite Series

Author: Isidore Isaac Hirschman

Publisher: Courier Corporation

ISBN: 0486798240

Category: Mathematics

Page: 192

View: 5675

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Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.
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Foundations of Mathematical Analysis

Author: Saminathan Ponnusamy

Publisher: Springer Science & Business Media

ISBN: 0817682910

Category: Mathematics

Page: 570

View: 4261

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Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
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Mathematical Handbook for Scientists and Engineers

Definitions, Theorems, and Formulas for Reference and Review

Author: Granino A. Korn,Theresa M. Korn

Publisher: Courier Corporation

ISBN: 0486320235

Category: Technology & Engineering

Page: 1152

View: 9467

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Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.
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Infinite Series

Author: James M Hyslop

Publisher: Courier Corporation

ISBN: 0486154858

Category: Mathematics

Page: 144

View: 727

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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.
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The Cauchy Method of Residues

Volume 2: Theory and Applications

Author: Dragoslav S. Mitrinovic,J.D. Keckic

Publisher: Springer Science & Business Media

ISBN: 9401120005

Category: Mathematics

Page: 198

View: 7564

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Volume 1, i. e. the monograph The Cauchy Method of Residues - Theory and Applications published by D. Reidel Publishing Company in 1984 is the only book that covers all known applications of the calculus of residues. They range from the theory of equations, theory of numbers, matrix analysis, evaluation of real definite integrals, summation of finite and infinite series, expansions of functions into infinite series and products, ordinary and partial differential equations, mathematical and theoretical physics, to the calculus of finite differences and difference equations. The appearance of Volume 1 was acknowledged by the mathematical community. Favourable reviews and many private communications encouraged the authors to continue their work, the result being the present book, Volume 2, a sequel to Volume 1. We mention that Volume 1 is a revised, extended and updated translation of the book Cauchyjev raeun ostataka sa primenama published in Serbian by Nau~na knjiga, Belgrade in 1978, whereas the greater part of Volume 2 is based upon the second Serbian edition of the mentioned book from 1991. Chapter 1 is introductory while Chapters 2 - 6 are supplements to the corresponding chapters of Volume 1. They mainly contain results missed during the preparation of Volume 1 and also some new results published after 1982. Besides, certain topics which were only briefly mentioned in Volume 1 are treated here in more detail.
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Foundations of General Topology

Author: William J. Pervin

Publisher: Academic Press

ISBN: 1483225151

Category: Mathematics

Page: 222

View: 5868

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Foundations of General Topology presents the value of careful presentations of proofs and shows the power of abstraction. This book provides a careful treatment of general topology. Organized into 11 chapters, this book begins with an overview of the important notions about cardinal and ordinal numbers. This text then presents the fundamentals of general topology in logical order processing from the most general case of a topological space to the restrictive case of a complete metric space. Other chapters consider a general method for completing a metric space that is applicable to the rationals and present the sufficient conditions for metrizability. This book discusses as well the study of spaces of real-valued continuous functions. The final chapter deals with uniform continuity of functions, which involves finding a distance that satisfies certain requirements for all points of the space simultaneously. This book is a valuable resource for students and research workers.
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