Handbook of Differential Equations

Handbook of Differential Equations
Author: Daniel Zwillinger
Publsiher: Gulf Professional Publishing
Total Pages: 801
Release: 1998
ISBN 10: 9780127843964
ISBN 13: 0127843965
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Book Review:

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 Stationary Partial Differential Equations

Handbook of Differential Equations  Stationary Partial Differential Equations
Author: Michel Chipot
Publsiher: Elsevier
Total Pages: 626
Release: 2007-05-03
ISBN 10: 9780080521831
ISBN 13: 0080521835
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Stationary Partial Differential Equations Book Review:

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. - written by well-known experts in the field - self contained volume in series covering one of the most rapid developing topics in mathematics

Handbook of Differential Equations Ordinary Differential Equations

Handbook of Differential Equations  Ordinary Differential Equations
Author: A. Canada,P. Drabek,A. Fonda
Publsiher: Elsevier
Total Pages: 752
Release: 2006-08-21
ISBN 10: 9780080463810
ISBN 13: 0080463819
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Ordinary Differential Equations Book Review:

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 Evolutionary Equations

Handbook of Differential Equations  Evolutionary Equations
Author: C.M. Dafermos,Milan Pokorny
Publsiher: Elsevier
Total Pages: 534
Release: 2009-04-29
ISBN 10: 9780080932590
ISBN 13: 0080932592
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Evolutionary Equations Book Review:

Handbook of Differential Equations: Evolutionary Equations is the last text of a five-volume reference in mathematics and methodology. This volume follows the format set by the preceding volumes, presenting numerous contributions that reflect the nature of the area of evolutionary partial differential equations. The book is comprised of five chapters that feature the following: • A thorough discussion of the shallow-equations theory, which is used as a model for water waves in rivers, lakes and oceans. It covers the issues of modeling, analysis and applications. • Evaluation of the singular limits of reaction-diffusion systems, where the reaction is fast compared to the other processes; and applications that range from the theory of the evolution of certain biological processes to the phenomena of Turing and cross-diffusion instability • Detailed discussion of numerous problems arising from nonlinear optics, at the high-frequency and high-intensity regime • Geometric and diffractive optics, including wave interactions • Presentation of the issues of existence, blow-up and asymptotic stability of solutions, from the equations of solutions to the equations of linear and non-linear thermoelasticity • Answers to questions about unique space, such as continuation and backward uniqueness for linear second-order parabolic equations. Research mathematicians, mathematics lecturers and instructors, and academic students will find this book invaluable. - Review of new results in the area - Continuation of previous volumes in the handbook series covering evolutionary PDEs - New content coverage of DE applications

Handbook of Differential Equations Ordinary Differential Equations

Handbook of Differential Equations  Ordinary Differential Equations
Author: Flaviano Battelli,Michal Fečkan
Publsiher: Elsevier
Total Pages: 400
Release: 2008-08-19
ISBN 10: 9780080559469
ISBN 13: 0080559468
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Ordinary Differential Equations Book Review:

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

Handbook of Differential Equations  Stationary Partial Differential Equations
Author: Michel Chipot,Pavol Quittner
Publsiher: Elsevier
Total Pages: 630
Release: 2006-08-08
ISBN 10: 9780080463827
ISBN 13: 0080463827
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Stationary Partial Differential Equations Book Review:

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

Handbook of Exact Solutions for Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations
Author: Valentin F. Zaitsev,Andrei D. Polyanin
Publsiher: CRC Press
Total Pages: 816
Release: 2002-10-28
ISBN 10: 1420035339
ISBN 13: 9781420035339
Language: EN, FR, DE, ES & NL

Handbook of Exact Solutions for Ordinary Differential Equations Book Review:

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 Linear Partial Differential Equations for Engineers and Scientists

Handbook of Linear Partial Differential Equations for Engineers and Scientists
Author: Andrei D. Polyanin
Publsiher: CRC Press
Total Pages: 800
Release: 2001-11-28
ISBN 10: 1420035320
ISBN 13: 9781420035322
Language: EN, FR, DE, ES & NL

Handbook of Linear Partial Differential Equations for Engineers and Scientists Book Review:

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 Differential Equations

Handbook of Differential Equations
Author: Daniel Zwillinger
Publsiher: Academic Press
Total Pages: 694
Release: 2014-05-12
ISBN 10: 1483220966
ISBN 13: 9781483220963
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Book Review:

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.

The Handbook of Integration

The Handbook of Integration
Author: Daniel Zwillinger
Publsiher: A K Peters/CRC Press
Total Pages: 384
Release: 1992-11-02
ISBN 10: 9780867202939
ISBN 13: 0867202939
Language: EN, FR, DE, ES & NL

The Handbook of Integration Book Review:

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 Nonlinear Partial Differential Equations

Handbook of Nonlinear Partial Differential Equations
Author: Andrei D. Polyanin,Valentin F. Zaitsev
Publsiher: CRC Press
Total Pages: 840
Release: 2004-06-02
ISBN 10: 1135440816
ISBN 13: 9781135440817
Language: EN, FR, DE, ES & NL

Handbook of Nonlinear Partial Differential Equations Book Review:

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
Author: Nail H. Ibragimov
Publsiher: CRC Press
Total Pages: 560
Release: 1995-10-24
ISBN 10: 9780849394195
ISBN 13: 0849394198
Language: EN, FR, DE, ES & NL

CRC Handbook of Lie Group Analysis of Differential Equations Book Review:

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
Author: Andrei D. Polyanin,Valentin F. Zaitsev
Publsiher: CRC Press
Total Pages: 1496
Release: 2017-11-15
ISBN 10: 1466569409
ISBN 13: 9781466569409
Language: EN, FR, DE, ES & NL

Handbook of Ordinary Differential Equations Book Review:

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.

Field Theory Handbook

Field Theory Handbook
Author: Parry Moon,Domina E. Spencer
Publsiher: Springer
Total Pages: 236
Release: 2012-12-06
ISBN 10: 3642530605
ISBN 13: 9783642530609
Language: EN, FR, DE, ES & NL

Field Theory Handbook Book Review:

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 Sinc Numerical Methods

Handbook of Sinc Numerical Methods
Author: Frank Stenger
Publsiher: CRC Press
Total Pages: 482
Release: 2016-04-19
ISBN 10: 1439821593
ISBN 13: 9781439821596
Language: EN, FR, DE, ES & NL

Handbook of Sinc Numerical Methods Book Review:

Handbook of Sinc Numerical Methods presents an ideal road map for handling general numeric problems. Reflecting the author's advances with Sinc since 1995, the text most notably provides a detailed exposition of the Sinc separation of variables method for numerically solving the full range of partial differential equations (PDEs) of interest to sci

Handbook of Nonlinear Partial Differential Equations Second Edition

Handbook of Nonlinear Partial Differential Equations  Second Edition
Author: Andrei D. Polyanin,Valentin F. Zaitsev
Publsiher: CRC Press
Total Pages: 1912
Release: 2016-04-19
ISBN 10: 142008724X
ISBN 13: 9781420087246
Language: EN, FR, DE, ES & NL

Handbook of Nonlinear Partial Differential Equations Second Edition Book Review:

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 Global Analysis

Handbook of Global Analysis
Author: Demeter Krupka,David Saunders
Publsiher: Elsevier
Total Pages: 1244
Release: 2011-08-11
ISBN 10: 9780080556734
ISBN 13: 0080556736
Language: EN, FR, DE, ES & NL

Handbook of Global Analysis Book Review:

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contents

Handbook of Differential Equations Ordinary Differential Equations

Handbook of Differential Equations  Ordinary Differential Equations
Author: A. Canada,P. Drabek,A. Fonda
Publsiher: Elsevier
Total Pages: 584
Release: 2005-09-02
ISBN 10: 9780080461083
ISBN 13: 0080461085
Language: EN, FR, DE, ES & NL

Handbook of Differential Equations Ordinary Differential Equations Book Review:

This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory 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, in order to make the chapters of the volume accessible to a wide audience. . Six chapters covering a variety of problems in ordinary differential equations. . Both, pure mathematical research and real word applications are reflected . Written by leading researchers in the area.

Handbook of Mathematical Formulas and Integrals

Handbook of Mathematical Formulas and Integrals
Author: Alan Jeffrey
Publsiher: Elsevier
Total Pages: 410
Release: 2014-05-19
ISBN 10: 1483295141
ISBN 13: 9781483295145
Language: EN, FR, DE, ES & NL

Handbook of Mathematical Formulas and Integrals Book Review:

If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse. Special thumb-tab index throughout the book for ease of use Answers are keyed to the type of problem they solve Formulas are provided for problems across the entire spectrum of Mathematics All equations are sent from a computer-checked source code Companion to Gradshteyn: Table of Integrals, Series, and Products, Fifth Edition The following features make the Handbook a Better Value than its Competition: Less expensive More comprehensive Equations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r) Superior quality from one of the most respected names in scientific and technical publishing Offers unique thumb-tab indexing throughout the book which makes finding answers quick and easy

Geometric Partial Differential Equations Part I

Geometric Partial Differential Equations   Part I
Author: Anonim
Publsiher: Elsevier
Total Pages: 710
Release: 2020-01-14
ISBN 10: 0444640045
ISBN 13: 9780444640048
Language: EN, FR, DE, ES & NL

Geometric Partial Differential Equations Part I Book Review:

Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs