
Ordinary Differential Equations
Principles and Applications
- English
- PDF
- Available on iOS & Android
Ordinary Differential Equations
Principles and Applications
About this book
Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Ordinary Differential Equations
- Title
- Copyright
- Dedication
- Contents
- Figures
- Preface
- Acknowledgement
- 1 Introduction and Examples: Physical Models
- 2 Preliminaries
- 3 First and Second Order Linear Equations
- 4 General Theory of Initial Value Problems
- 5 Linear Systems and Qualitative Analysis
- 6 Series Solutions: Frobenius Theory
- 7 Regular Sturm-Liouville Theory
- 8 Qualitative Theory
- 9 Two Point Boundary Value Problems
- 10 First Order Partial Differential Equations: Method of Characteristics
- Appendix A: Poincarè‒Bendixon and Leinard's Theorems
- Bibliography
- Index