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Elementary differential equations Earl D Rainville; Phillip Edward Bedient; Richard E Bedient

By: Contributor(s): Material type: TextTextPublication details: New York : Macmillan, [1969]Edition: Fourth editionDescription: xiii, 530 pages : illustrations (black and white) ; 24 cmISBN:
  • 9781292042695
Subject(s): DDC classification:
  • 515.35 ELE 1964
Contents:
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.
Summary: A clear, concise book that emphasizes finding solutions to differential equations where applications play an important role. Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.
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Item type Current library Collection Call number Status Barcode
Book Irrigation Research Institute Library - Punjab Irrigation Department General Stacks NFIC 617.38 R14E 1969 (Browse shelf(Opens below)) Available PID-IRI-0000002905

Includes index.


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.

A clear, concise book that emphasizes finding solutions to differential equations where applications play an important role. Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

In English.

Hbk.

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