Handbook of Differential Equations Book
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Handbook of Differential Equations

  • Author : Daniel Zwillinger
  • Publisher : Gulf Professional Publishing
  • Release Date : 1998
  • Genre: Mathematics
  • Pages : 801
  • ISBN 10 : 0127843965
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Handbook of Differential Equations Excerpt :

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. * For nearly every technique, the book and CD-ROM provide: * The types of equations to which the method is applicable * The idea behind the method * The procedure for carrying out the method * At least one simple example of the method * Any cautions that should be exercised * Notes for more advanced users * References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

The Handbook of Integration Book

The Handbook of Integration

  • Author : Daniel Zwillinger
  • Publisher : CRC Press
  • Release Date : 1992-11-02
  • Genre: Mathematics
  • Pages : 384
  • ISBN 10 : 9781439865842
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The Handbook of Integration Excerpt :

This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Approximate Analytical Methods - Numerical Methods: Concepts - Numerical Methods: Techniques

Handbook of Differential Equations Evolutionary Equations Book

Handbook of Differential Equations Evolutionary Equations

  • Author : C.M. Dafermos
  • Publisher : Elsevier
  • Release Date : 2008-10-06
  • Genre: Mathematics
  • Pages : 608
  • ISBN 10 : 0080931979
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Handbook of Differential Equations Evolutionary Equations Excerpt :

The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area - Continuation of previous volumes in the handbook series covering Evolutionary PDEs - Written by leading experts

Handbook of Ordinary Differential Equations Book

Handbook of Ordinary Differential Equations

  • Author : Andrei D. Polyanin
  • Publisher : CRC Press
  • Release Date : 2017-11-15
  • Genre: Mathematics
  • Pages : 1496
  • ISBN 10 : 9781351643917
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Handbook of Ordinary Differential Equations Excerpt :

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

Handbook of Differential Equations Ordinary Differential Equations Book

Handbook of Differential Equations Ordinary Differential Equations

  • Author : Flaviano Battelli
  • Publisher : Elsevier
  • Release Date : 2008-08-19
  • Genre: Mathematics
  • Pages : 400
  • ISBN 10 : 0080559468
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Handbook of Differential Equations Ordinary Differential Equations Excerpt :

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. * Covers a variety of problems in ordinary differential equations * Pure mathematical and real-world applications * Written for mathematicians and scientists of many related fields

Handbook of Differential Equations Stationary Partial Differential Equations Book

Handbook of Differential Equations Stationary Partial Differential Equations

  • Author : Michel Chipot
  • Publisher : Elsevier
  • Release Date : 2005-08-19
  • Genre: Mathematics
  • Pages : 624
  • ISBN 10 : 0080461077
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Handbook of Differential Equations Stationary Partial Differential Equations Excerpt :

A collection of self contained, state-of-the-art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. Partial differential equations represent one of the most rapidly developing topics in mathematics. This is due to their numerous applications in science and engineering on the one hand and to the challenge and beauty of associated mathematical problems on the other. Key features: - Self-contained volume in series covering one of the most rapid developing topics in mathematics. - 7 Chapters, enriched with numerous figures originating from numerical simulations. - Written by well known experts in the field. - Self-contained volume in series covering one of the most rapid developing topics in mathematics. - 7 Chapters, enriched with numerous figures originating from numerical simulations. - Written by well known experts in the field.

Handbook of Exact Solutions for Ordinary Differential Equations Book

Handbook of Exact Solutions for Ordinary Differential Equations

  • Author : Valentin F. Zaitsev
  • Publisher : CRC Press
  • Release Date : 2002-10-28
  • Genre: Mathematics
  • Pages : 816
  • ISBN 10 : 9781420035339
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Handbook of Exact Solutions for Ordinary Differential Equations Excerpt :

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including: An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations The addition of solutions to more than 1200 nonlinear equations An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily Expansion of the supplement on special functions This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.

Handbook of First Order Partial Differential Equations Book

Handbook of First Order Partial Differential Equations

  • Author : Andrei D. Polyanin
  • Publisher : CRC Press
  • Release Date : 2001-11-15
  • Genre: Mathematics
  • Pages : 520
  • ISBN 10 : 041527267X
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Handbook of First Order Partial Differential Equations Excerpt :

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.

Handbook of Linear Partial Differential Equations for Engineers and Scientists Book

Handbook of Linear Partial Differential Equations for Engineers and Scientists

  • Author : Andrei D. Polyanin
  • Publisher : CRC Press
  • Release Date : 2001-11-28
  • Genre: Mathematics
  • Pages : 800
  • ISBN 10 : 9781420035322
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Handbook of Linear Partial Differential Equations for Engineers and Scientists Excerpt :

Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with

Handbook of Nonlinear Partial Differential Equations Book

Handbook of Nonlinear Partial Differential Equations

  • Author : Andrei D. Polyanin
  • Publisher : CRC Press
  • Release Date : 2004-06-02
  • Genre: Mathematics
  • Pages : 840
  • ISBN 10 : 9781135440817
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Handbook of Nonlinear Partial Differential Equations Excerpt :

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Handbook of Differential Equations Book

Handbook of Differential Equations

  • Author : Daniel Zwillinger
  • Publisher : Academic Press
  • Release Date : 2014-05-12
  • Genre: Mathematics
  • Pages : 694
  • ISBN 10 : 9781483220963
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Handbook of Differential Equations Excerpt :

Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

Field Theory Handbook Book

Field Theory Handbook

  • Author : Parry Moon
  • Publisher : Springer
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 236
  • ISBN 10 : 9783642530609
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Field Theory Handbook Excerpt :

Let us first state exactly what this book is and what it is not. It is a compendium of equations for the physicist and the engineer working with electrostatics, magne tostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions. But it is not a textbook and it does not cover relativistic and quantum phenomena. The history of classical physics may be regarded as an interplay between two ideas, the concept of action-at-a-distance and the concept of a field. Newton's equation of universal gravitation, for instance, implies action-at-a-distance. The same form of equation was employed by COULOMB to express the force between charged particles. AMPERE and GAUSS extended this idea to the phenomenological action between currents. In 1867, LUDVIG LORENZ formulated electrodynamics as retarded action-at-a-distance. At almost the same time, MAXWELL presented the alternative formulation in terms of fields. In most cases, the field approach has shown itself to be the more powerful.

The Painlev Handbook Book

The Painlev Handbook

  • Author : Robert Conte
  • Publisher : Springer Nature
  • Release Date : 2020-11-07
  • Genre: Science
  • Pages : 389
  • ISBN 10 : 9783030533403
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The Painlev Handbook Excerpt :

This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book’s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.

Handbook of Analysis and Its Foundations Book

Handbook of Analysis and Its Foundations

  • Author : Eric Schechter
  • Publisher : Academic Press
  • Release Date : 1996-10-24
  • Genre: Mathematics
  • Pages : 883
  • ISBN 10 : 9780080532998
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Handbook of Analysis and Its Foundations Excerpt :

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

Handbook of Integral Equations Book

Handbook of Integral Equations

  • Author : Andrei D. Polyanin
  • Publisher : CRC Press
  • Release Date : 2008-02-12
  • Genre: Mathematics
  • Pages : 1144
  • ISBN 10 : 9781135436124
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Handbook of Integral Equations Excerpt :

Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor. New to the Second Edition • New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions • More than 400 new equations with exact solutions • New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs • Additional examples for illustrative purposes To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.