Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems: Third Edition Andrei 1466569409 9781466569409
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Product details:
- ISBN 10: 1466569409
- ISBN 13: 9781466569409
- Author: Andrei D. Polyanin
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.
Table of contents:
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
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
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
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