Geometric Multivector Analysis From Grassmann to Dirac /
This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects. Following in the footsteps of M. Riesz and L. Ahlfors, the book also explains how Clifford algebra offers the ideal...
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2019.
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Έκδοση: | 1st ed. 2019. |
Σειρά: | Birkhäuser Advanced Texts Basler Lehrbücher,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Prelude: Linear algebra
- Exterior algebra
- Clifford algebra
- Mappings of inner product spaces
- Spinors in inner product spaces
- Interlude: Analysis
- Exterior calculus
- Hodge decompositions
- Hypercomplex analysis
- Dirac equations
- Multivector calculus on manifolds
- Two index theorems.