Clifford (Geometric) Algebras: with applications to physics, mathematics, and engineering
Autor William E. Baylisen Limba Engleză Hardback – 22 aug 1996
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Specificații
ISBN-13: 9780817638689
ISBN-10: 0817638687
Pagini: 517
Ilustrații: XVIII, 517 p.
Dimensiuni: 178 x 254 x 30 mm
Greutate: 1.16 kg
Ediția:1996
Editura: Birkhäuser Boston
Colecția Birkhäuser
Locul publicării:Boston, MA, United States
ISBN-10: 0817638687
Pagini: 517
Ilustrații: XVIII, 517 p.
Dimensiuni: 178 x 254 x 30 mm
Greutate: 1.16 kg
Ediția:1996
Editura: Birkhäuser Boston
Colecția Birkhäuser
Locul publicării:Boston, MA, United States
Public țintă
ResearchCuprins
1 Introduction.- 2 Clifford Algebras and Spinor Operators.- 3 Introduction to Geometric Algebras.- 4 Linear Transformations.- 5 Directed Integration.- 6 Linear Algebra.- 7 Dynamics.- 8 Electromagnetism.- 9 Electron Physics I.- 10 Electron Physics II.- 11 STA and the Interpretation of Quantum Mechanics.- 12 Gravity I — Introduction.- 13 Gravity II — Field Equations.- 14 Gravity III — First Applications.- 15 Gravity IV — The ‘Intrinsic’ Method.- 16 Gravity V — Further Applications.- 17 The Paravector Model of Spacetime.- 18 Eigenspinors in Electrodynamics.- 19 Eigenspinors in Quantum Theory.- 20 Eigenspinors in Curved Spacetime.- 21 Spinors: Lorentz Group.- 22 Spinors: Clifford Algebra.- 23 Genersd Relativity: An Overview.- 24 Spinors in General Relativity.- 25 Hypergravity I.- 26 Hypergravity II.- 27 Properties of Clifford Algebras for Fundamental Particles.- 28 The Extended Grassmann Algebra of R3.- 29 Geometric Algebra: Applications in Engineering.- 30 Projective Quadrics, Poles, Polars, and Legendre Transformations.- 31 Spacetime Algebra and Line Geometry.- 32 Generalizations of Clifford Algebra.- 33 Clifford Algebra Computations with Maple.
Recenzii
"Of interest due to the many provocative physical interpretations of quantum mechanics and gravitational theory suggested by the Clifford algebra approach to these theories."
—Mathematical Reviews
—Mathematical Reviews