An Introduction to Numerical Methods for the Physical Sciences

Colm T. Whelan (Autor)

Buch | Softcover

166 Seiten

2020
Morgan & Claypool Publishers (Verlag)
978-1-68173-872-7 (ISBN)

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Provides a concise, self-contained introduction to the basic numerical and analytic techniques which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.

There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.

There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.

Colm T. Whelan is a Professor of Physics and an Eminent Scholar at Old Dominion University in Norfolk, Virginia. He received his Ph.D. in Theoretical Atomic Physics from the University of Cambridge in 1985 and was awarded an Sc.D. also from Cambridge in 2001. He is a Fellow of both the American Physical Society and the Institute of Physics (UK). He has over 30 years of experience in the teaching of physics.

Preface
Preliminaries
Some Elementary Results
The Numerical Solution of Ordinary Differential Equations
Case Study: Damped and Driven Oscillations
Numerical Linear Algebra
Polynomial Approximations
Sturm--Liouville Theory
Case Study: The Quantum Oscillator
Variational Principles
Case Study: The Ground State of Atoms
Bibliography
Author's Biography
Index

Erscheinungsdatum	05.03.2022
Reihe/Serie	Synthesis Lectures on Engineering, Science, and Technology
Verlagsort	San Rafael
Sprache	englisch
Maße	191 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-68173-872-4 / 1681738724
ISBN-13	978-1-68173-872-7 / 9781681738727
Zustand	Neuware