Differential Equations For Scientists and Engineers /

• Main Authors: Struthers, Allan (Author, http://id.loc.gov/vocabulary/relators/aut), Potter, Merle (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 2nd ed. 2019.
• Subjects: Engineering mathematics.; Differential equations.; Physics.; Engineering Mathematics.; Ordinary Differential Equations.; Mathematical Methods in Physics.

This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to...

Table of Contents:

• Chapter 1: Essentials of linear algebra
• Chapter 2: First-order differential equations
• Chapter 3: Linear systems of differential equations
• Chapter 4: Higher order differential equations
• Chapter 5: Laplace transforms
• Chapter 6: Nonlinear systems of differential equations
• Chapter 7: Numerical methods for differential equations
• Chapter 8: Series solutions for differential equations
• Appendix A: Review of integration techniques
• Appendix B: Complex numbers
• Appendix C: Roots of polynomials
• Appendix D: Linear transformations
• Appendix E: Solutions to selected exercises.