Handbook of Exact Solutions for Ordinary Differential Equations - Hardcover

Zaitsev, Valentin F.; Polyanin, Andrei D.

 
9780849394386: Handbook of Exact Solutions for Ordinary Differential Equations

Inhaltsangabe

Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlevé equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will.

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Reseña del editor

Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlevé equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will.

Reseña del editor

Containing more than 5,000 ordinary differential equations and their solutions. This volume covers two types of equations: those of interest to researchers but which are difficult to integrate (Abel equations, Emden-Fowler equations, Painleve equations and others), and equations which are relevant to applications in heat and mass transfer, non-linear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering and other related fields. The text describes newly-integrable equations, and obtains solutions by applications of discrete group methods. It aims to provide solutions to readers in a wide range of fields, including physics, mathematics, engineering and mechanics.

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Weitere beliebte Ausgaben desselben Titels

9781584882978: Handbook of Exact Solutions for Ordinary Differential Equations

Vorgestellte Ausgabe

ISBN 10:  1584882972 ISBN 13:  9781584882978
Verlag: Chapman and Hall/CRC, 2002
Hardcover