Handbook of ordinary differential equations : exact solutions, methods, and problems / Andrei D. Polyanin and Valentin F. Zaitsev.
Poli︠a︡nin, A. D. (Andreĭ Dmitrievich)| Call Number | 515.353 |
| Author | Poli︠a︡nin, A. D. author. |
| Title | Handbook of ordinary differential equations : exact solutions, methods, and problems / Andrei D. Polyanin and Valentin F. Zaitsev. |
| Edition | Third edition. |
| Physical Description | 1 online resource |
| Contents | Part, Part I. Methods for Ordinary Differential Equations -- chapter 1 Methods for First-Order Differential Equations -- chapter 2 Methods for Second-Order Linear Differential Equations -- chapter 3 Methods for Second-Order Nonlinear Differential Equations -- chapter 4 Methods for Linear ODEs of Arbitrary Order -- chapter 5 Methods for Nonlinear ODEs of Arbitrary Order -- chapter 6 Methods for Linear Systems of ODEs -- chapter 7 Methods for Nonlinear Systems of ODEs -- chapter 8 Elements of Bifurcation Theory -- chapter 9 Elementary Theory of Using Invariants for Solving Equations -- chapter 10 Methods for the Construction of Particular Solutions -- chapter 11 Group Methods for ODEs -- chapter 12 Discrete-Group Methods -- part, Part II. Exact Solutions of Ordinary Differential Equations -- chapter 13 First-Order Ordinary Differential Equations -- chapter 14 Second-Order Ordinary Differential Equations -- chapter 15 Third-Order Ordinary Differential Equations -- chapter 16 Fourth-Order Ordinary Differential Equations -- chapter 17 Higher-Order Ordinary Differential Equations -- chapter 18 Some Systems of Ordinary Differential Equations -- part, Part III. Symbolic and Numerical Solutions of Nonlinear PDEs with Maple, Mathematica, and MATLABr -- chapter 19 Symbolic and Numerical Solutions of ODEs with Maple -- chapter 20 Symbolic and Numerical Solutions of ODEs with Mathematica -- chapter 21 Symbolic and Numerical Solutions of ODEs with MATLAB -- part, Part IV. Supplements -- chapter S1 Elementary Functions and Their Properties -- chapter S2.1 Indefinite Integrals -- chapter S3 Tables of Laplace and Inverse Laplace Transforms -- chapter S4 Special Functions and Their Properties. |
| Summary | "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."--Provided by publisher. |
| Added Author | Zaĭt︠s︡ev, V. F., author. |
| Subject | Differential equations Numerical solutions. |
| Multimedia |
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$a Part, Part I. Methods for Ordinary Differential Equations -- chapter 1 Methods for First-Order Differential Equations -- chapter 2 Methods for Second-Order Linear Differential Equations -- chapter 3 Methods for Second-Order Nonlinear Differential Equations -- chapter 4 Methods for Linear ODEs of Arbitrary Order -- chapter 5 Methods for Nonlinear ODEs of Arbitrary Order -- chapter 6 Methods for Linear Systems of ODEs -- chapter 7 Methods for Nonlinear Systems of ODEs -- chapter 8 Elements of Bifurcation Theory -- chapter 9 Elementary Theory of Using Invariants for Solving Equations -- chapter 10 Methods for the Construction of Particular Solutions -- chapter 11 Group Methods for ODEs -- chapter 12 Discrete-Group Methods -- part, Part II. Exact Solutions of Ordinary Differential Equations -- chapter 13 First-Order Ordinary Differential Equations -- chapter 14 Second-Order Ordinary Differential Equations -- chapter 15 Third-Order Ordinary Differential Equations -- chapter 16 Fourth-Order Ordinary Differential Equations -- chapter 17 Higher-Order Ordinary Differential Equations -- chapter 18 Some Systems of Ordinary Differential Equations -- part, Part III. Symbolic and Numerical Solutions of Nonlinear PDEs with Maple, Mathematica, and MATLABr -- chapter 19 Symbolic and Numerical Solutions of ODEs with Maple -- chapter 20 Symbolic and Numerical Solutions of ODEs with Mathematica -- chapter 21 Symbolic and Numerical Solutions of ODEs with MATLAB -- part, Part IV. Supplements -- chapter S1 Elementary Functions and Their Properties -- chapter S2.1 Indefinite Integrals -- chapter S3 Tables of Laplace and Inverse Laplace Transforms -- chapter S4 Special Functions and Their Properties.
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$a "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."--Provided by publisher.
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| Summary | "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."--Provided by publisher. |
| Contents | Part, Part I. Methods for Ordinary Differential Equations -- chapter 1 Methods for First-Order Differential Equations -- chapter 2 Methods for Second-Order Linear Differential Equations -- chapter 3 Methods for Second-Order Nonlinear Differential Equations -- chapter 4 Methods for Linear ODEs of Arbitrary Order -- chapter 5 Methods for Nonlinear ODEs of Arbitrary Order -- chapter 6 Methods for Linear Systems of ODEs -- chapter 7 Methods for Nonlinear Systems of ODEs -- chapter 8 Elements of Bifurcation Theory -- chapter 9 Elementary Theory of Using Invariants for Solving Equations -- chapter 10 Methods for the Construction of Particular Solutions -- chapter 11 Group Methods for ODEs -- chapter 12 Discrete-Group Methods -- part, Part II. Exact Solutions of Ordinary Differential Equations -- chapter 13 First-Order Ordinary Differential Equations -- chapter 14 Second-Order Ordinary Differential Equations -- chapter 15 Third-Order Ordinary Differential Equations -- chapter 16 Fourth-Order Ordinary Differential Equations -- chapter 17 Higher-Order Ordinary Differential Equations -- chapter 18 Some Systems of Ordinary Differential Equations -- part, Part III. Symbolic and Numerical Solutions of Nonlinear PDEs with Maple, Mathematica, and MATLABr -- chapter 19 Symbolic and Numerical Solutions of ODEs with Maple -- chapter 20 Symbolic and Numerical Solutions of ODEs with Mathematica -- chapter 21 Symbolic and Numerical Solutions of ODEs with MATLAB -- part, Part IV. Supplements -- chapter S1 Elementary Functions and Their Properties -- chapter S2.1 Indefinite Integrals -- chapter S3 Tables of Laplace and Inverse Laplace Transforms -- chapter S4 Special Functions and Their Properties. |
| Subject | Differential equations Numerical solutions. |
| Multimedia |