Ordinary Differential Equations
eBook - PDF

Ordinary Differential Equations

Principles and Applications

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

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

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • 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.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Ordinary Differential Equations by A. K. Nandakumaran,P. S. Datti,Raju K. George in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Ordinary Differential Equations
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Figures
  8. Preface
  9. Acknowledgement
  10. 1 Introduction and Examples: Physical Models
  11. 2 Preliminaries
  12. 3 First and Second Order Linear Equations
  13. 4 General Theory of Initial Value Problems
  14. 5 Linear Systems and Qualitative Analysis
  15. 6 Series Solutions: Frobenius Theory
  16. 7 Regular Sturm-Liouville Theory
  17. 8 Qualitative Theory
  18. 9 Two Point Boundary Value Problems
  19. 10 First Order Partial Differential Equations: Method of Characteristics
  20. Appendix A: Poincarè‒Bendixon and Leinard's Theorems
  21. Bibliography
  22. Index