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Computational Physics: An Introduction / Edition 2

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Overview

The essential point in computational physics is not the use of machines, but the systematic application of numerical techniques in place of, and in addition to, analytical methods, in order to render accessible to computation as large a part of physical reality as possible. The various available techniques, disparate as they may seem, are traced back to only three main methodological sources; finite difference calculus, linear algebra, and shastics. Each algorithm is carefully introduced and every computational tool is explained in terms of fundamental numerical techniques. Examples from statistical mechanics, quantum mechanics, and hydrodynamics are employed to bridge the gap between basic methodology and modern research. This second edition of Franz Vesely's renowned textbook takes into account the new vistas that have opened up recently in this rapidly evolving field. Furthermore, web-based sample programs augment the text.
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Editorial Reviews

Booknews
Introduces the numerical and computational techniques that have been used in physics as far back as Newton and Gauss, and are only associated with computers now because they are easier that way. The treatment is less comprehensive than textbooks on numerical mathematics in focusing on methods useful in physics and on recipes rather than proofs. Also demonstrates applications in a sample of problems and research areas. Annotation c. Book News, Inc., Portland, OR (booknews.com)
From the Publisher

about the first edition:
'... a concise introduction to the methods and algorithms used in computational physics...clear in its presentation... useful for those beginning more advanced work in the field...'

From the reviews of the second edition:

"The book is an excellent introduction to computational physics. … The book can be useful for graduate students of physical and mathematical faculties as well as for specialists in the field of numerical mathematics and mathematical modeling." (Piotr Matus, Zentralblatt MATH, Vol. 1049 (24), 2004)

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Product Details

  • ISBN-13: 9780306466311
  • Publisher: Springer US
  • Publication date: 9/1/2001
  • Edition description: 2nd ed. 2001
  • Edition number: 2
  • Pages: 259
  • Product dimensions: 10.00 (w) x 7.00 (h) x 0.75 (d)

Table of Contents

Contents. I. The Three Pillars of Computational Physics. 1. Finite Differences. 2. Linear Algebra. 3. Shastics. II. Everything Flows. 4. Ordinary Differential Equations. 5. Partial Differential Equations. III. Anchors Aweigh. 6. Simulation and Statistical Mechanics. 7. Quantum Mechanical Simulation. 8. Hydrodynamics. Appendix. A. Machine Errors. B. Discrete Fourier Transformation. References. Index.
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