Table of Integrals, Series, and Products

Table of Integrals, Series, and Products
Title Table of Integrals, Series, and Products PDF eBook
Author I. S. Gradshteyn
Publisher Academic Press
Pages 1207
Release 2014-05-10
Genre Mathematics
ISBN 1483265641

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Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Inside Interesting Integrals

Inside Interesting Integrals
Title Inside Interesting Integrals PDF eBook
Author Paul J. Nahin
Publisher Springer Nature
Pages 542
Release 2020-06-27
Genre Science
ISBN 3030437884

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What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

(Almost) Impossible Integrals, Sums, and Series

(Almost) Impossible Integrals, Sums, and Series
Title (Almost) Impossible Integrals, Sums, and Series PDF eBook
Author Cornel Ioan Vălean
Publisher Springer
Pages 572
Release 2019-05-10
Genre Mathematics
ISBN 3030024628

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This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.

Asymptotic Expansions of Integrals

Asymptotic Expansions of Integrals
Title Asymptotic Expansions of Integrals PDF eBook
Author Norman Bleistein
Publisher Courier Corporation
Pages 453
Release 1986-01-01
Genre Mathematics
ISBN 0486650820

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Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

Approximate Calculation of Integrals

Approximate Calculation of Integrals
Title Approximate Calculation of Integrals PDF eBook
Author V. I. Krylov
Publisher Courier Corporation
Pages 372
Release 2012-01-27
Genre Mathematics
ISBN 048615467X

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An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

New Integrals

New Integrals
Title New Integrals PDF eBook
Author Peter S. Bullen
Publisher Springer
Pages 211
Release 2006-11-14
Genre Mathematics
ISBN 3540469559

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A Treatise On The Integral Calculus; With Applications, Examples And Problems (Volume Ii)

A Treatise On The Integral Calculus; With Applications, Examples And Problems (Volume Ii)
Title A Treatise On The Integral Calculus; With Applications, Examples And Problems (Volume Ii) PDF eBook
Author Joseph Edwards
Publisher
Pages 1000
Release 2020-11-02
Genre
ISBN 9789354210785

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This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.