Table of Integrals, Series, and Products

Author: Alan Jeffrey,Daniel Zwillinger

Publisher: Academic Press

ISBN: 9780080542225

Category: Mathematics

Page: 1163

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The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems. *Completely reset edition of Gradshteyn and Ryzhik reference book *New entries and sections kept in orginal numbering system with an expanded bibliography *Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.
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Table of Integrals, Series, and Products

Author: I. S. Gradshteyn,I. M. Ryzhik

Publisher: Academic Press

ISBN: 1483265641

Category: Mathematics

Page: 1206

View: 3823

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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.
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Table of Integrals, Series, and Products

Author: Daniel Zwillinger

Publisher: Elsevier

ISBN: 0123849349

Category: Mathematics

Page: 1184

View: 746

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The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the first edition, published in 1965, the mathematical content of this book has significantly increased due to the addition of new material, though the size of the book has remained almost unchanged. The new 8th edition contains entirely new results and amendments to the auxiliary conditions that accompany integrals and wherever possible most entries contain valuable references to their source. Over 10, 000 mathematical entries Most up to date listing of integrals, series and products (special functions) Provides accuracy and efficiency in industry work 25% of new material not including changes to the restrictions on results that revise the range of validity of results, which lend to approximately 35% of new updates
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Table of Integrals, Series, and Products

Author: Izrailʹ Solomonovich Gradshteĭn,Iosif Moiseevich Ryzhik

Publisher: N.A

ISBN: 9780122947551

Category: Mathematics

Page: 1204

View: 7069

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This handbook is the fifth edition of one of Academic Press's all-time best-sellers. The volume, which contains nearly 20,000 formulae for integrals, sums, series, products, and special functions, is the major reference source for integrals in the English language. It is an essential reference for mathematicians, scientists, and engineers, who rely on it when identifying and subsequently solving extremely complex problems. * Includes hundreds of new entries, all checked where possible using Mathematica (c)/Maple V (c) * Corrections from the Fourth Edition are checked and incorporated * Features expanded sections on special functions and orthogonal polynomials * Contains greatly expanded tables of Laplace and Fourier transforms * Presents Mellin transforms in the section on integral functions * Provides new results on Riemann zeta functions * Carefully preserves original numbering system for complete compatibility with previous editions * Features an expanded bibliography
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Handbook of Mathematical Formulas and Integrals

Author: Alan Jeffrey,Hui Hui Dai

Publisher: Elsevier

ISBN: 9780080556840

Category: Mathematics

Page: 592

View: 2186

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The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik’s Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings. Comprehensive coverage in reference form of the branches of mathematics used in science and engineering Organized to make results involving integrals and functions easy to locate Results illustrated by worked examples
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Table of Integrals, Series, and Products

Author: Izrailʹ Solomonovich Gradshteĭn

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 1160

View: 786

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Elementary functions. Indefinite integrals of elementary functions. Definite integrals of elementary functions. Indefinite integrals of special functions. Definite integrals of special functions. Vector field theory. Albebraic inequalites. Integral inequalities. Matrices and related results. Determinants. Norms. Ordinary differential equations. Fourier and laplace transforms.
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Green's Functions and Infinite Products

Bridging the Divide

Author: Yuri A. Melnikov

Publisher: Springer Science & Business Media

ISBN: 9780817682804

Category: Mathematics

Page: 165

View: 5946

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Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics.
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Theoretical, Experimental and Numerical Contributions to the Mechanics of Fluids and Solids

A Collection of Papers in Honor of Paul M. Naghdi

Author: Paul Mansour Naghdi

Publisher: Springer Science & Business Media

ISBN: 9783764351397

Category: Mathematics

Page: 847

View: 1128

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ZAMP special issue, Vol. 46 This is a comprehensive and up-to-date collection of papers on the mechanics of fluids and solids by leading researchers. It encompasses theoretical, experimental and numerical work on a variety of topics, including nonlinear elasticity, plastici- ty, dynamics, water waves, and turbulence. The collection is published in celebration of Professor Paul M. Naghdi's lifelong contributions to the field of mechanics. It will be of interest to graduate students and researchers in all branches of continuum mechanics.
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Problems and Solutions in Mathematical Finance

Stochastic Calculus

Author: Eric Chin,Sverrir Ólafsson,Dian Nel

Publisher: John Wiley & Sons

ISBN: 1119966086

Category: Business & Economics

Page: 400

View: 1378

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Mathematical finance requires the use of advanced mathematical techniques drawn from the theory of probability, stochastic processes and stochastic differential equations. These areas are generally introduced and developed at an abstract level, making it problematic when applying these techniques to practical issues in finance. Problems and Solutions in Mathematical Finance Volume I: Stochastic Calculus is the first of a four-volume set of books focusing on problems and solutions in mathematical finance. This volume introduces the reader to the basic stochastic calculus concepts required for the study of this important subject, providing a large number of worked examples which enable the reader to build the necessary foundation for more practical orientated problems in the later volumes. Through this application and by working through the numerous examples, the reader will properly understand and appreciate the fundamentals that underpin mathematical finance. Written mainly for students, industry practitioners and those involved in teaching in this field of study, Stochastic Calculus provides a valuable reference book to complement one’s further understanding of mathematical finance.
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