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Geometric Algebra and Applications to Physics
Af: Bidyut Kumar Datta, Venzo de Sabbata Engelsk Paperback
SPAR
kr 103
Geometric Algebra and Applications to Physics
Af: Bidyut Kumar Datta, Venzo de Sabbata Engelsk Paperback
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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 184
ISBN-13: 9780367389789
Indbinding: Paperback
Udgave:
ISBN-10: 0367389789
Kategori: Anvendt matematik
Udg. Dato: 19 sep 2019
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 19 sep 2019
Forfatter(e) Bidyut Kumar Datta, Venzo de Sabbata


Kategori Anvendt matematik


Sprog Engelsk


Indbinding Paperback


Sider 184


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm

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