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Ordinary Differential Equations

Mathematical Tools for Physicists

  • Raza Tahir-Kheli

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Raza Tahir-Kheli
    Pages 1-4
  3. Raza Tahir-Kheli
    Pages 5-12
  4. Raza Tahir-Kheli
    Pages 13-58
  5. Raza Tahir-Kheli
    Pages 59-73
  6. Raza Tahir-Kheli
    Pages 75-118
  7. Raza Tahir-Kheli
    Pages 119-194
  8. Raza Tahir-Kheli
    Pages 195-226
  9. Raza Tahir-Kheli
    Pages 227-255
  10. Raza Tahir-Kheli
    Pages 257-301
  11. Raza Tahir-Kheli
    Pages 303-316
  12. Raza Tahir-Kheli
    Pages 317-381
  13. Raza Tahir-Kheli
    Pages 383-401
  14. Raza Tahir-Kheli
    Pages 403-406
  15. Back Matter
    Pages 407-408

About this book

Introduction

This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE ). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical problems. Solving these problems is of interest primarily to students of science, such as physics, engineering, biology and chemistry. 

Scientists are greatly assisted by using the DO obeying several simple algebraic rules. The book describes these rules and, to help the reader, the vocabulary and the definitions used throughout the text are provided. A thorough description of the relatively straightforward methodology for solving ODE is given. The book provides solutions to a large number of associated problems. ODE that are integrable, or those that have one of the two variables missing in any explicit form are also treated with solved problems. The physics and applicable mathematics are explained and many associated problems are analyzed and solved in detail. Numerical solutions are analyzed and the level of exactness obtained under various approximations is discussed in detail.    

Keywords

Theory and Practice of Ordinary Differential Equations Runge-Kutta Approximation Bernouilli Equation Clairaut Equation Lagrange Equation Euler Equation

Authors and affiliations

  • Raza Tahir-Kheli
    • 1
  1. 1.Department of PhysicsTemple UniversityPhiladelphiaUSA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment