Elementary differential equations with boundary value problems

✍ Scribed by Edwards, Charles Henry; Penney, David E

• Publisher: Pearson Education
• Year: 2013
• Tongue: English
• Leaves: 765
• Series: Pearson new international edition
• Edition: 6
• Category: Library

✦ Synopsis

For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus. The Sixth Edition of this widely adopted book remains the same classic differential equations text it's always been, but has been polished and sharpened to serve both instructors and students even more effectively.Edwards and Penney teach students to first solve those differential equations that have the most frequent and interesting applications. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.

✦ Table of Contents

Cover......Page 1
Table of Contents......Page 4
Table of Laplace Transforms; Table of Integrals......Page 6
Chapter 1. First-Order Differential Equations......Page 10
Chapter 2. Linear Equations of Higher Order......Page 109
Chapter 3. Power Series Methods......Page 203
Chapter 4. Laplace Transform Methods......Page 275
Chapter 5. Linear Systems of Differential Equations......Page 335
Chapter 6. Numerical Methods......Page 439
Chapter 7. Nonlinear Systems and Phenomena......Page 489
Chapter 9. Eigenvalues and Boundary Value Problems......Page 563
Chapter 8. Fourier Series Methods......Page 623
Appendix: Existence and Uniqueness of Solutions......Page 692
Answers to Selected Problems......Page 706

✦ Subjects

Science;Mathematics;Textbooks;Nonfiction