Overview
- Teaches differential equations in a comprehensive way to help both students and teachers of of physics, chemistry and engineering
- Covers many physics- and engineering-related mathematical problems
- Provides a large numbers of appropriate problems and worked out solutions
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Raza A. Tahir-Kheli studied physics at Islamia College, Peshawar (Pakistan) before joining, in October 1955, Oriel College, University of Oxford. He completed the degrees of Master of Arts and Doctor of Philosophy in 1962.
His employment was:
(1) Junior Demonstrator, Oxford University October (1958) to June (1960)
(2) Research Associate-Teaching, University of Pennsylvania, Department of Physics, (1962) to (1964).(3) Atomic Energy Commission, Pakistan . (1964) to (1966)
(4) Temple University, Philadelphia PA 19122. USA:
Assistant Professor of Physics, (1966)-(1968)
Associate Professor of Physics, (1968)-(1971)
Professor of Physics, (1971) to July, (2011)
Professor Emeritus (2011)
His other employments including sabbaticals were:
Royal Society Visiting Professor, Department of Theoretical Physics, University of Oxford (1982)Two sabbaticals, at the Dept. of Theoretical Physics, University of Oxford
Professeur de Echange, Centre Scientifique, d'Orsay, France
Sabbatical at Department of Physics, University of California, at Santa Barbara.
Visiting Professor, Institut Laue -Langevin, Grenoble ,France
Sabbatical at Max-Planck Institut fuer Physik
Bibliographic Information
Book Title: Ordinary Differential Equations
Book Subtitle: Mathematical Tools for Physicists
Authors: Raza Tahir-Kheli
DOI: https://doi.org/10.1007/978-3-319-76406-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-76405-4Published: 27 February 2019
eBook ISBN: 978-3-319-76406-1Published: 05 February 2019
Edition Number: 1
Number of Pages: XXII, 408
Number of Illustrations: 64 b/w illustrations, 1 illustrations in colour
Topics: Mathematical Methods in Physics, Ordinary Differential Equations, Mathematical Applications in the Physical Sciences, Theoretical and Applied Mechanics