Table of Integrals, Series, and Products

Author: Alan Jeffrey,Daniel Zwillinger

Publisher: Elsevier

ISBN: 9780080471112

Category: Mathematics

Page: 1200

View: 3590

The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom. - Fully searchable CD that puts information at your fingertips included with text - Most up to date listing of integrals, series and products - Provides accuracy and efficiency in work
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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: 708

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: 1450

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: 4436

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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Table of Integrals, Series, and Products

Author: I. S. Gradshte-in,Izrail ́Solomonovich Gradshteĭn,Iosif Moiseevich Ryzhik

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 1086

View: 2715

This Fifth Edition of the best-selling Table of Integrals, Series, & Products is now available on CD-ROM. Designed for use by mathematicians, scientists, & professional engineers who need to solve complex mathematical problems, the CD-ROM offers full-text searchability & desktop computer access to the formulas contained in this essential reference. The TEX source code for selected formulas will also be included on the CD-ROM. Users can access formulas anddirectly download them into their own TEX documents.
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Handbook of Mathematical Formulas and Integrals

Author: Alan Jeffrey

Publisher: Elsevier

ISBN: 9780080523019

Category: Mathematics

Page: 451

View: 949

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
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Formeln und Sätze für die Speziellen Funktionen der Mathematischen Physik

Author: Wilhelm Magnus,Fritz Oberhettinger

Publisher: Springer-Verlag

ISBN: 366241791X

Category: Science

Page: 172

View: 7762

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.
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Klassische Mechanik

Author: Herbert Goldstein,Charles P. Poole, Jr.,John L. Safko, Sr.

Publisher: John Wiley & Sons

ISBN: 3527662073

Category: Science

Page: 700

View: 7551

Der Goldstein gehört zu den Standardwerken für die Vorlesung in Klassischer Mechanik, die Pflichtvorlesung und Teil des Theorie-Lehrplans jedes Physik-Studienganges ist. Für diese aktuelle Ausgabe haben Charles Poole und John Safko die Texte überarbeitet und neueste Themen, Anwendungen und Notationen eingearbeitet und sind damit auf moderne Trends in der Theoretischen Mechanik eingegangen. Neue numerische Übungen verhelfen den Studenten zur Fähigkeit, Computeranwendungen für die Lösung von Physikproblemen zu benutzen. Mathematische Techniken werden detailliert eingeführt, so daß der Text auch für Studenten ohne den entsprechenden Hintergrund der Theoretischen Mechanik verständlich ist.
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Bestimmte Integrale

Author: Wolfgang Gröbner,Nikolaus Hofreiter

Publisher: Springer-Verlag

ISBN: 3662383330

Category: Mathematics

Page: 204

View: 5004

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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: 3292

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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GAMMA

Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung

Author: Julian Havil

Publisher: Springer-Verlag

ISBN: 3540484965

Category: Mathematics

Page: 302

View: 3928

Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.
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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: 3828

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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Irresistible Integrals

Symbolics, Analysis and Experiments in the Evaluation of Integrals

Author: George Boros,Victor Moll

Publisher: Cambridge University Press

ISBN: 9780521796361

Category: Mathematics

Page: 306

View: 7907

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in nineteenth century analysis and it has now been revived with the appearance of symbolic languages. The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting-rather than the shortest-path to the results. They illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.
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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: 8977

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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