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Handbook of Differential Equations

Handbook of Differential Equations
A Book

by Daniel Zwillinger

  • Publisher : Gulf Professional Publishing
  • Release : 1998
  • Pages : 801
  • ISBN : 9780127843964
  • Language : En, Es, Fr & De
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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

Handbook of Differential Equations

Handbook of Differential Equations
A Book

by Daniel Zwillinger

  • Publisher : Academic Press
  • Release : 2014-05-12
  • Pages : 694
  • ISBN : 1483220966
  • Language : En, Es, Fr & De
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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.

Handbook of Differential Equations: Ordinary Differential Equations

Handbook of Differential Equations: Ordinary Differential Equations
A Book

by A. Canada,P. Drabek,A. Fonda

  • Publisher : Elsevier
  • Release : 2006-08-21
  • Pages : 752
  • ISBN : 9780080463810
  • Language : En, Es, Fr & De
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This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. 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: Ordinary Differential Equations

Handbook of Differential Equations: Ordinary Differential Equations
A Book

by Flaviano Battelli,Michal Fečkan

  • Publisher : Elsevier
  • Release : 2008-08-19
  • Pages : 400
  • ISBN : 9780080559469
  • Language : En, Es, Fr & De
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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: Evolutionary Equations

Handbook of Differential Equations: Evolutionary Equations
A Book

by C.M. Dafermos,Eduard Feireisl

  • Publisher : Elsevier
  • Release : 2005-10-05
  • Pages : 676
  • ISBN : 9780080461380
  • Language : En, Es, Fr & De
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The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim here is to collect review articles, written by leading experts, which will highlight the present and expected future directions of development of the field. The emphasis will be on nonlinear equations, which pose the most challenging problems today. . Volume I of this Handbook does focus on the abstract theory of evolutionary equations. . Volume 2 considers more concrete problems relating to specific applications. . Together they provide a panorama of this amazingly complex and rapidly developing branch of mathematics.

Handbook of Differential Equations: Stationary Partial Differential Equations

Handbook of Differential Equations: Stationary Partial Differential Equations
A Book

by Michel Chipot,Pavol Quittner

  • Publisher : Elsevier
  • Release : 2006-08-08
  • Pages : 630
  • ISBN : 9780080463827
  • Language : En, Es, Fr & De
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This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics. Key features: - Written by well-known experts in the field - Self-contained volume in series covering one of the most rapid developing topics in mathematics - Written by well-known experts in the field - Self-contained volume in series covering one of the most rapid developing topics in mathematics

CRC Handbook of Lie Group Analysis of Differential Equations

CRC Handbook of Lie Group Analysis of Differential Equations
A Book

by Nail H. Ibragimov

  • Publisher : CRC Press
  • Release : 1995-10-24
  • Pages : 560
  • ISBN : 9780849394195
  • Language : En, Es, Fr & De
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Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

Handbook of Ordinary Differential Equations

Handbook of Ordinary Differential Equations
Exact Solutions, Methods, and Problems

by Andrei D. Polyanin,Valentin F. Zaitsev

  • Publisher : CRC Press
  • Release : 2017-11-15
  • Pages : 1496
  • ISBN : 1466569409
  • Language : En, Es, Fr & De
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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 Nonlinear Partial Differential Equations, Second Edition

Handbook of Nonlinear Partial Differential Equations, Second Edition
A Book

by Andrei D. Polyanin,Valentin F. Zaitsev

  • Publisher : CRC Press
  • Release : 2016-04-19
  • Pages : 1912
  • ISBN : 142008724X
  • Language : En, Es, Fr & De
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New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

Handbook of Differential Geometry

Handbook of Differential Geometry
A Book

by F.J.E. Dillen,L.C.A. Verstraelen

  • Publisher : Elsevier
  • Release : 1999-12-16
  • Pages : 1053
  • ISBN : 9780080532837
  • Language : En, Es, Fr & De
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In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

Handbook of First-Order Partial Differential Equations

Handbook of First-Order Partial Differential Equations
A Book

by Andrei D. Polyanin,Valentin F. Zaitsev,Alain Moussiaux

  • Publisher : CRC Press
  • Release : 2001-11-15
  • Pages : 520
  • ISBN : 9780415272674
  • Language : En, Es, Fr & De
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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

Handbook of Linear Partial Differential Equations for Engineers and Scientists
A Book

by Andrei D. Polyanin

  • Publisher : CRC Press
  • Release : 2001-11-28
  • Pages : 800
  • ISBN : 1420035320
  • Language : En, Es, Fr & De
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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 Exact Solutions for Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations
A Book

by Valentin F. Zaitsev,Andrei D. Polyanin

  • Publisher : CRC Press
  • Release : 2002-10-28
  • Pages : 816
  • ISBN : 1420035339
  • Language : En, Es, Fr & De
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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 Nonlinear Partial Differential Equations

Handbook of Nonlinear Partial Differential Equations
A Book

by Andrei D. Polyanin,Valentin F. Zaitsev

  • Publisher : CRC Press
  • Release : 2004-06-02
  • Pages : 840
  • ISBN : 1135440816
  • Language : En, Es, Fr & De
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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:

CRC Handbook of Lie Group Analysis of Differential Equations

CRC Handbook of Lie Group Analysis of Differential Equations
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear Differential Equations

Nonlinear Differential Equations
A Book

by Pavel Drabek,Pavel Krejci,Peter Takac

  • Publisher : CRC Press
  • Release : 1999-05-20
  • Pages : 208
  • ISBN : 9781584880363
  • Language : En, Es, Fr & De
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Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed the basis of this volume. The subject addressed by these authors is the theory of nonlinear differential equations, with focus on the quasilinear elliptic differential equations of the degenerate type. Their topics include:

Field Theory Handbook

Field Theory Handbook
Including Coordinate Systems, Differential Equations and Their Solutions

by P. Moon,D. E. Spencer

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 236
  • ISBN : 3642832431
  • Language : En, Es, Fr & De
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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.

Handbook of Exact Solutions for Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations
A Book

by Andrei Dmitrievich Polianin,Andrei D. Polyanin,Valentin F. Zaitsev,V. F. Zaitsev

  • Publisher : CRC Press
  • Release : 1995-05-09
  • Pages : 707
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage in this volume includes equations that are of interest to researchers but difficult to integrate (Abel equations, Emden-Fowler equations, Painleve equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields.

Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition

Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition
A Book

by Andrei D. Polyanin,Vladimir E. Nazaikinskii

  • Publisher : Chapman and Hall/CRC
  • Release : 2015-12-14
  • Pages : 1632
  • ISBN : 9781466581456
  • Language : En, Es, Fr & De
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This large mathematical reference for scientists and engineers now contains over 3,200 linear partial differential equations and linear physics equations with solutions as well as exact asymptotic, approximate analytical, numeric, symbolic and qualitative methods for solving and analyzing linear equations. In addition, first, second, third, fourth and higher order linear partial differential equations are considered. A number of new linear equations, exact solutions transformations and methods are described along with applications from heat and mass transfer, aerodynamics, elasticity, acoustics, electrostatics, and many other fields.

Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists
A Book

by Andrei D. Polyanin,Alexander V. Manzhirov

  • Publisher : CRC Press
  • Release : 2006-11-27
  • Pages : 1544
  • ISBN : 1420010514
  • Language : En, Es, Fr & De
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The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.