Space-Time Algebra

• Κύριος συγγραφέας: Hestenes, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Έκδοση: 2nd ed. 2015.
• Θέματα: Mathematics.; Mathematical physics.; Differential geometry.; Physics.; Mathematical Applications in the Physical Sciences.; Mathematical Methods in Physics.; Differential Geometry.

This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathemat...

Πίνακας περιεχομένων:

• Preface to the Second Edition
• Introduction
• Part I:Geometric Algebra
• 1.Intrepretation of Clifford Algebra
• 2.Definition of Clifford Algebra
• 3.Inner and Outer Products
• 4.Structure of Clifford Algebra
• 5.Reversion, Scalar Product
• 6.The Algebra of Space
• 7.The Algebra of Space-Time
• Part II:Electrodynamics
• 8.Maxwell's Equation
• 9.Stress-Energy Vectors
• 10.Invariants
• 11.  Free Fields
• Part III:Dirac Fields
• 12.Spinors
• 13.Dirac's Equation
• 14.Conserved Currents
• 15.C, P, T
• Part IV:Lorentz Transformations
• 16.Reflections and Rotations
• 17.Coordinate Transformations
• 18.Timelike Rotations
• 19.Scalar Product
• Part V:Geometric Calculus
• 20.Differentiation
• 21.Coordinate Transformations
• 22.Integration
• 23.Global and Local Relativity
• 24.Gauge Transformation and Spinor Derivatives
• Conclusion
• Appendices
• A.Bases and Pseudoscalars
• B.Some Theorems
• C.Composition of Spacial Rotations
• D.Matrix Representation of the Pauli Algebra.