Geometric Algebra and Applications to Physics
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A01=Bidyut Kumar Datta
A01=Venzo de Sabbata
advanced mathematical methods in physics
Algebra G2
Ar Bs
Associative Division Algebra
Author_Bidyut Kumar Datta
Author_Venzo de Sabbata
cartan
Category=PBW
clifford
Clifford Algebra
dirac
Dirac Algebra
Dirac Equation
Dirac Matrices
Directed Line Segment
E0 Exp
einstein
Einstein Cartan Theory
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equation
Euclidean Space E3
fiber bundle applications
Geometric Algebra
Geometric Product
Geometric Significance
gravity quantization methods
linear
Linear Space
Lorentz Rotation
Lorentz Transformation
mathematical physics
Maxwell Equations
Minkowski Space Time
neutron interferometry
outer
polarization analysis
product
quantum field theory
quaternion
Quaternion Algebra
Real Space Time
space
Spin Plane
Spinor Field
Vector Algebra
Vectors ?1
Vectors Σ1
Product details
- ISBN 9780367389789
- Weight: 263g
- Dimensions: 156 x 234mm
- Publication Date: 19 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
de Sabbata, Venzo; Datta, Bidyut Kumar
