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Addison-Wesley / Prentice Hall

Mathematics

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Elementary Differential Equations, 5/E
C. Henry Edwards
David E. Penney

ISBN-10: 013145773X
ISBN-13:  9780131457737

Publisher:  Pearson
Copyright:  2004
Format:  Cloth; 640 pp
Published:  10/30/2003

For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus.

This accessible, attractive, and interesting text teaches students to first solve those differential equations that have the most frequent and interesting applications. This motivates students and illustrates the standard elementary techniques of solution of differential equations. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. The first few sections of most chapters introduce the principle ideas of each topic, with remaining sections devoted to extensions and applications, giving instructors a wide range of choices regarding breadth and depth of coverage. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.



This product accompanies:
Edwards & Penney,  Elementary Differential Equations, 6/E

  • NEW - Over 1500 problems—While strongly algebraic in nature, the new edition now includes 300 qualitative problems scattered throughout most chapters.
    • Provides students with ample opportunites to practice what they have learned in class and in the text.

  • NEW - Nearly 550 computer-generated figures—Includes graphics using Mathematica or MATLAB.
    • Shows students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life.

  • NEW - Application Modules—Follow appropriate sections in the book.
    • Adds for students concrete applied emphasis and engages them in more extensive investigations than in typical exercises and problems.

  • NEW - Applications Manual—Expands upon the application modules presented in the text, as well as supplementing it with 30 additional modules.
    • Encourages students to further delve into the exploration and application of computational technology.

  • NEW - FREE technolgy manuals when shrinkwrapped—MATLAB, Maple, and Mathematica manuals are now available with the text, free of charge.
  • A solid numerical emphasis—Includes generic numerical algorithms and a limited number of illustrative graphic calculator, BASIC, and MATLAB routines.
    • Motivates students and illustrates to them the standard elementary techniques of solution of differential equations.

  • A 600-page Instructor's Solutions Manual—Provides worked-out solutions for most of the problems in the book.
    • Gives instructors strong course support.

  • Student Solutions Manual—Contains solutions for most of the odd-numbered problems.
    • Allows students to self-test and check their own progress.

 

  • Over 1500 problems—While strongly algebraic in nature, the new edition now includes 300 qualitative problems scattered throughout most chapters.
    • Provides students with ample opportunites to practice what they have learned in class and in the text.

  • Nearly 550 computer-generated figures—Includes graphics using Mathematica or MATLAB.
    • Shows students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life.

  • Application Modules—Follow appropriate sections in the book.
    • Adds for students concrete applied emphasis and engages them in more extensive investigations than in typical exercises and problems.

  • Applications Manual—Expands upon the application modules presented in the text, as well as supplementing it with 30 additional modules.
    • Encourages students to further delve into the exploration and application of computational technology.

  • FREE technolgy manuals when shrinkwrapped—MATLAB, Maple, and Mathematica manuals are now available with the text, free of charge.



1. First-Order Differential Equations.


2. Linear Equations of Higher Order.


3. Power Series Methods.


4. Laplace Transform Methods.


5. Linear Systems of Differential Equations.


6. Numerical Methods.


7. Nonlinear Systems and Phenomena.


References for Further Study.


Appendix: Existence and Uniqueness of Solutions.


Answers to Selected Problems.


Index.

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    Elementary Differential Equations, 6/E
    Edwards & Penney
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    ISBN-10: 0132397307 | ISBN-13: 9780132397308
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