Geometric Algebra and Applications to Physics (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
184
Utgivningsdatum
2006-12-01
Förlag
CRC Press Inc
Illustratör/Fotograf
black and white 15 Illustrations
Illustrationer
15 Illustrations, black and white
Dimensioner
245 x 160 x 15 mm
Vikt
400 g
Antal komponenter
1
ISBN
9781584887720

Geometric Algebra and Applications to Physics

av Venzo De Sabbata, Bidyut Kumar Datta
Inbunden,  Engelska, 2006-12-01
2582
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Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. This reference begins with several chapters that present the mathematical fundamentals of geometric algebra. It introduces the essential features of postulates and their underlying framework; bivectors, multivectors, and their operators; spinor and Lorentz rotations; and Clifford algebra. The book also extends some of these topics into three dimensions. Subsequent chapters apply these fundamentals to various common physical scenarios. The authors show how Maxwell's equations can be expressed and manipulated via space-time algebra and how geometric algebra reveals electromagnetic waves' states of polarization. In addition, they connect geometric algebra and quantum theory, discussing the Dirac equation, wave functions, and fiber bundles. The final chapter focuses on the application of geometric algebra to problems of the quantization of gravity. By covering the powerful methodology of applying geometric algebra to all branches of physics, this book provides a pioneering text for undergraduate and graduate students as well as a useful reference for researchers in the field.
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Venzo De Sabbata, Bidyut Kumar Datta

Övrig information

de Sabbata, Venzo; Datta, Bidyut Kumar

Innehållsförteckning

The Basis for Geometric Algebra. Multivectors. Euclidean Plane. The Pseudoscalar and Imaginary Unit. Real Dirac Algebra. Spinor and Quaternion Algebra. Maxwell Equations. Electromagnetic Field in Space and Time (Polarization of Electromagnetic Waves). General Observations and Generators of Rotations (Neutron Interferometer Experiment). Quantum Gravity in Real Space-Time (Commutators and Anticommutators).

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