Elementary Differential Equations

Pearson New International Edition

Earl Rainville, Phillip Bedient, Richard Bedient (Autoren)

Buch | Softcover

544 Seiten

2013 | 8th edition
Pearson Education Limited (Verlag)
978-1-292-04269-5 (ISBN)

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Appropriate for introductory courses in Differential Equations. This clear, concise fairly easy classic text is particularly well-suited to courses that emphasize finding solutions to differential equations where applications play an important role. Many illustrative examples in each chapter help the student to understand the subject. Computer applications new to this edition.

1. Definitions; Families of Curves.

2. Equations of Order One.

3. Numerical Methods.

4. Elementary Applications.

5. Additional Topics on Equations of Order One.

6. Linear Differential Equations.

7. Linear Equations with Constant Coefficients.

8. Nonhomogeneous Equations: Undetermined Coefficients.

9. Variation of Parameters.

10. Applications.

11. Linear Systems of Equations.

12. Nonhomogeneous Systems of Equations.

13. The Existence and Uniqueness of Solutions.

14. The Laplace Transform.

15. Inverse Transforms.

16. Nonlinear Equations.

17. Power Series Solutions.

18. Solutions Near Regular Singular Points.

19. Equations of Hypergeometric Type.

20. Partial Differential Equations.

21. Orthogonal Sets of Functions.

22. Fourier Series.

23. Boundary Value Problems.

24. Additional Properties of the Laplace Transform.

25. Partial Differential Equations Transform Methods.

Answers to Odd-numbered Exercises.

Index.

Erscheint lt. Verlag	1.11.2013
Verlagsort	Harlow
Sprache	englisch
Maße	180 x 235 mm
Gewicht	920 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-292-04269-9 / 1292042699
ISBN-13	978-1-292-04269-5 / 9781292042695
Zustand	Neuware