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Table Of Integrals Series And Products

Author: Alan Jeffrey
Publisher: Academic Press
ISBN: 9780080542225
Size: 41.72 MB
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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.

Table Of Integrals Series And Products

Author: I. S. Gradshteyn
Publisher: Academic Press
ISBN: 1483265641
Size: 40.22 MB
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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.

Table Of Integrals Series And Products

Author: Daniel Zwillinger
Publisher: Elsevier
ISBN: 0123849349
Size: 46.74 MB
Format: PDF, Docs
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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

Table Of Integrals Series And Products

Author: Izrailʹ Solomonovich Gradshteĭn
Publisher:
ISBN: 9780122947551
Size: 31.66 MB
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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

Ma Und Integral

Author: Martin Brokate
Publisher: Springer-Verlag
ISBN: 303460646X
Size: 60.20 MB
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Der Integralbegriff in seiner Ausprägung durch Henri Lebesgue ist ein grundlegendes Werkzeug in der modernen Analysis, Numerik und Stochastik. Für Lehrveranstaltungen zu diesen Gebieten der Mathematik bereiten die Autoren wesentliche Sachverhalte in kompakter Weise auf. Das Buch liefert Orientierung und Material für verschiedene Varianten zwei- oder vierstündiger Lehrveranstaltungen. In einem ergänzenden Abschnitt werden um den Begriff der Konvexität herum Verbünde zur Funktionalanalysis hergestellt.

Handbook Of Mathematical Formulas And Integrals

Author: Alan Jeffrey
Publisher: Elsevier
ISBN: 9780080523019
Size: 39.84 MB
Format: PDF, Docs
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The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and Laplace equation. Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results Contents selected and organized to suit the needs of students, scientists, and engineers Contains tables of Laplace and Fourier transform pairs New section on numerical approximation New section on the z-transform Easy reference system