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* The electronic component of the book is based on the widely used and highly praised Mathematica software package.
* Each chapter of the bookis a Mathematica notebook with links to web-based material.
* The methods are applied to a range of problems taken from physics and engineering.
* The book covers elementary and advaned numerical methods used in modern scientific computing.
Inhaltsverzeichnis
Preface.
Ordinary Differential Equations in the Physical Sciences.
Fourier Series and Transforms.
Introduction to Linear Partial Differential Equations.
Eigenmode Analysis.
Partial Differential Equations in Infinite Domains.
Numerical Solution of Linear Partial Differential Equations.
Nonlinear Partial Differential Equations.
Introduction to Random Processes.
An Introduction to Mathematica (Electronic Version Only).
Appendix: Finite-Differenced Derivatives.
Index.
Über den Autor / die Autorin
DANIEL DUBIN holds a Ph.D. in Astrophysics from Princeton University and is a Fellow of the American Physical Society. He is currently a Professor of Physics at the University of California at San Diego.
Zusammenfassung
This book is written from the perspective of a physicist, not a mathematician, with an emphasis on modern practical applications in the physical and engineering sciences. The book itself is essentially software, written in the language of Mathematica, the widely used and highly praised Mathematica software package.
Bericht
"...a very valuable addition to the literature of the field..." ( Zentralblatt Math , Vol. 1029, 2004)
"...offers a comprehensive Mathematica -based guide to the analytical and numerical methods used every day...includes many exercises and worked examples..." ( The Mathematica Journal , Vol. 9 No. 1)
