Handbook Of Ordinary Differential Equations

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 1767 pages
File Size : 40,6 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9781351643917

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Handbook of Ordinary Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

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.

Author : Valentin F. Zaitsev,Andrei D. Polyanin
Publisher : CRC Press
Page : 815 pages
File Size : 45,8 Mb
Release : 2002-10-28
Category : Mathematics
ISBN : 9781420035339

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Handbook of Exact Solutions for Ordinary Differential Equations by Valentin F. Zaitsev,Andrei D. Polyanin Pdf

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 handboo

Author : Flaviano Battelli,Michal Feckan
Publisher : Elsevier
Page : 719 pages
File Size : 46,9 Mb
Release : 2008-08-19
Category : Mathematics
ISBN : 9780080559469

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Handbook of Differential Equations: Ordinary Differential Equations by Flaviano Battelli,Michal Feckan Pdf

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

Author : Andrei D. Polyanin
Publisher : CRC Press
Page : 800 pages
File Size : 44,5 Mb
Release : 2001-11-28
Category : Mathematics
ISBN : 9781420035322

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Handbook of Linear Partial Differential Equations for Engineers and Scientists by Andrei D. Polyanin Pdf

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

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 835 pages
File Size : 53,7 Mb
Release : 2004-06-02
Category : Mathematics
ISBN : 9781135440817

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Handbook of Nonlinear Partial Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

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:

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 1496 pages
File Size : 49,7 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9781466569409

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Handbook of Ordinary Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

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.

Author : Daniel Zwillinger
Publisher : Gulf Professional Publishing
Page : 842 pages
File Size : 49,8 Mb
Release : 1998
Category : Mathematics
ISBN : 0127843965

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Handbook of Differential Equations by Daniel Zwillinger Pdf

This book compiles the most widely applicable methods for solving and approximating differential equations. as well as 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 provides: 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

Author : A. Canada,P. Drabek,A. Fonda
Publisher : Elsevier
Page : 709 pages
File Size : 54,5 Mb
Release : 2004-09-09
Category : Mathematics
ISBN : 9780080532820

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Handbook of Differential Equations: Ordinary Differential Equations by A. Canada,P. Drabek,A. Fonda Pdf

The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

Author : Daniel Zwillinger,Vladimir Dobrushkin
Publisher : CRC Press
Page : 737 pages
File Size : 55,7 Mb
Release : 2021-12-30
Category : Mathematics
ISBN : 9781000468168

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Handbook of Differential Equations by Daniel Zwillinger,Vladimir Dobrushkin Pdf

Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are: 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 The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.

Author : Daniel Zwillinger
Publisher : CRC Press
Page : 384 pages
File Size : 53,8 Mb
Release : 1992-11-02
Category : Mathematics
ISBN : 9781439865842

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The Handbook of Integration by Daniel Zwillinger Pdf

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

Author : Andrei D. Polyanin,Alexander V. Manzhirov
Publisher : CRC Press
Page : 1143 pages
File Size : 44,8 Mb
Release : 2008-02-12
Category : Mathematics
ISBN : 9780203881057

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Handbook of Integral Equations by Andrei D. Polyanin,Alexander V. Manzhirov Pdf

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, WienerHopf, Hammerstein, Uryson, and other equa

Author : Shair Ahmad,Antonio Ambrosetti
Publisher : Springer
Page : 331 pages
File Size : 49,6 Mb
Release : 2015-06-05
Category : Mathematics
ISBN : 9783319164083

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A Textbook on Ordinary Differential Equations by Shair Ahmad,Antonio Ambrosetti Pdf

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 1878 pages
File Size : 44,8 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781420087246

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Handbook of Nonlinear Partial Differential Equations, Second Edition by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

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.

Author : Andrei D. Polyanin,Alexander V. Manzhirov
Publisher : CRC Press
Page : 1542 pages
File Size : 49,7 Mb
Release : 2006-11-27
Category : Mathematics
ISBN : 9781420010510

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Handbook of Mathematics for Engineers and Scientists by Andrei D. Polyanin,Alexander V. Manzhirov Pdf

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 backgr

Author : Michel Chipot,Pavol Quittner
Publisher : Unknown
Page : 725 pages
File Size : 47,8 Mb
Release : 2004
Category : Differential equations
ISBN : 0444511261

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Handbook of Differential Equations by Michel Chipot,Pavol Quittner Pdf