(Original PDF) Differential Equations with Boundary-Value Problems 9th – Digital Ebook – Instant Delivery Download
product details:
- ISBN-10 : 9781305965799
- ISBN-13 : 978-1305965799
- Author: Dennis G. Zill
Straightforward and easy to read, DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9th Edition, gives you a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduction to boundary-value problems and partial Differential Equations. Your study will be supported by a bounty of pedagogical aids, including an abundance of examples, explanations, “Remarks” boxes, definitions, and more.
table of contents:
- Part one: Linear equations
- 1. Variable coefficient, second order, linear, ordinary differential equations
- 2. Legendre functions
- 3. Bessel functions
- 4. Boundary value problems, Green’s functions and Sturm-Liouville theory
- 5. Fourier series and the fourier transform
- 6. Laplace transforms
- 7. Classification, properties and complex variable methods for second order partial differential equations
- Part two: Nonlinear equations and advanced techniques
- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations
- 9. Nonlinear ordinary differential equations: Phase plane methods
- 10. Group theoretical methods
- 11. Asymptotic methods: Basic ideas
- 12. Asymptotic methods: Differential equations
- 13. Stability, instability and bifurcations
- 14. Time-optimal control in the phase plane
- 15. Introduction to chaotic systems.