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Differential equations : theory, technique, and practice / Steven G. Krantz.

By: Material type: TextTextSeries: Textbooks in mathematicsPublication details: Boca Raton : CRC Press, c2015.Edition: 2nd edDescription: xvi, 541 p. : illustrations ; 24 cmISBN:
  • 9781482247022 (hardcover : acidfree paper)
Subject(s): DDC classification:
  • 515.35 23 K89
Contents:
1. What is a differential equation?-- 2. Second-order liner equations-- 3. Qualitative properties and theoretical aspects-- 4. Power series solutions and special functions-- 5. Numerical methods-- 6. Fourier series: basic concepts-- 7. Partial differential equations and boundary value problems-- 8. Laplace transforms-- 9. The calculus of variations-- 10. Systems of first-order equations-- 11. The nonlinear theory-- 12. Dynamical systems-- Appendix-- Bibliography-- Index.
Summary: Differential Equations: Theory, Technique and Practice, Second Edition educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies.
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Includes bibliographical references and index.

1. What is a differential equation?--
2. Second-order liner equations--
3. Qualitative properties and theoretical aspects--
4. Power series solutions and special functions--
5. Numerical methods--
6. Fourier series: basic concepts--
7. Partial differential equations and boundary value problems--
8. Laplace transforms--
9. The calculus of variations--
10. Systems of first-order equations--
11. The nonlinear theory--
12. Dynamical systems--
Appendix--
Bibliography--
Index.

Differential Equations: Theory, Technique and Practice, Second Edition educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies.

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