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LIKE NEW: This book is in excellent, like-new condition. It is printed on acid-free paper.
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From the back cover: "Clifford algebras constitute a substantial improvement to, and are said to be replacing, the classical vector calculus of Physics and Engineering. They are at a crossing point in a variety of research areas, including abstract algebra, group theory, projective and differential geometry, hypercomplex analysis, quantum mechanics, field theory and crystallography. For many mathematicians and physicists working and/or teaching in these fields, computer algebra systems have become an indispensable tool in developing theory and applications. They also provide valuable assistance in the elaboration of new and more adequate teaching materials.
"This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function thoery, crystallography, and in classroom teaching of mathematical physics. They include computations performed with a variety of computer programs such as CLICAL, MAPLE, MATHEMTICA, MATLAB, REDUCE, and computer languages such as FORTRAN and C++. In many instances, the computer was used as a tool to derive new results, and, by means of counter-examples, to falsify statements found in literature. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software.
"Features:
- Preface, which introduces the reader to scientific computing in Clifford algebras and briefly summarizes each contribution's significance.
- Chapters, thematically organized, and carefully edited, which provide a critical survey of Clifford algebras' interactions between computational applications and theory.
- Original programs and computer code created by the contributors, which will allow the reader to experiment, to repeat computations, and to verify results presented by the authors. The software, mostly based on major computer software programs such as CLICAL, MAPLE, MATHEMATICA, and REDUCE, is available by FTP from the Birkhäuser Web site...
- Numeric computations with FORTRAN, MATLAB, and C++ are also considered."
- Preface
- List of Contributors
- 1. Verifying and Falsifying conjectures
- 2. Differential Geometry, Quantum Mechanics, Spinors and Conformal Group
- 3. Generalized Clifford Algebras and Number Systems, Projective Geometry and Crystallography
- 4. Numerical Methods in Clifford Algebras
- Index
