Introduction to Ordinary Differential Equations with Mathematica

An Integrated Multimedia Approach

Häftad, Engelska, 2013

AvAlfred Gray,Michael Mezzino,Mark A. Pinsky

1 179 kr

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The CD-ROM, in addition to containing ODE.m, also contains the Mathematica solution of worked examples, the Mathematica solution of exercises, a protrait gallery of some 48 mathematicians who have contributed to the field of differential equations, a selction of various Mathematica noteboosk, Mathematica movies and sample labs for students.

Produktinformation

Utgivningsdatum2013-09-01
Mått170 x 244 x 48 mm
Vikt1 488 g
FormatHäftad
SpråkEngelska
Antal sidor890
FörlagSpringer-Verlag New York Inc.
ISBN9781461274698

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1. Basic Concepts.- 2. Using Mathematica.- 3. First-Order Differential Equations.- 4. The Package ODE • m.- 5. Existence and Uniqueness of Solutions of First-Order Differential Equations.- 6. Applications of First-Order Equations I.- 7. Applications of First-Order Equations II.- 8. Second-Order Linear Differential Equations.- 9. Second-Order Linear Differential Equations with Constant Coefficients.- 10. Using ODE to Solve Second-Order Linear Differential Equations.- 11.1 Mass-Spring Systems.- 12. Higher-Order Linear Differential Equations.- 13. Numerical Solutions of Differential Equations.- 14. The Laplace Transform.- 15. Systems of Linear Differential Equations.- 16. Phase Portraits of Linear Systems.- 17. Stability of Nonlinear Systems.- 18. Applications of Linear Systems.- 19. Applications of Nonlinear Systems.- 20 Power Series Solutions of Second-Order Equations.- 21. Frobenius Solutions of Second-Order Equations.- A. Appendix: Review of Linear Algebra and Matrix Theory.- A.l Vector and Matrix Notation.- A.2 Determinants and Inverses.- A.3 Systems of Linear Equations and Determinants.- A.4 Eigenvalues and Eigenvectors.- A.5 The Exponential of a Matrix.- A.6 Abstract Vector Spaces.- A.7 Vectors and Matrices with Mathematica.- A.8 Solving Equations with Mathematica.- A.9 Eigenvalues and Eigenvectors with Mathematica.- B. Appendix: Systems of Units.- Answers.- General Index.- Name Index.