Clifford Algebras and Their Application in Mathematical Physics

Table of Contents

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   Book Overview
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   Chapter 1 Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics?
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   Chapter 2 On the Hayman Uniqueness Problem for Polyharmonic Functions
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   Chapter 3 Left-Linear and Nonlinear Riemann Problems in Clifford Analysis
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   Chapter 4 Spin Structures and Harmonic Spinors on Nonhyperelliptic Riemann Surfaces of Small Genera
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   Chapter 5 Decomposition of Analytic Hyperbolically Harmonic Functions
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   Chapter 6 Spin Gauge Theories: A Summary
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   Chapter 7 Manifolds with and without Embeddings
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   Chapter 8 Dirac Equation in the Clifford Algebra of Space
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    Chapter 9 Dirac Theory from a Field Theoretic Point of View
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    Chapter 10 On Some Applications of the Biharmonic Equation
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    Chapter 11 Spinor Particle Mechanics
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    Chapter 12 Clifford Analysis and Elliptic Boundary Value Problems in Unbounded Domains
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    Chapter 13 Twistors and Clifford Algebras
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    Chapter 14 How Many Essentialy Different Function Theories Exist?
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    Chapter 15 Variational Property of the Peano Kernel for Harmonicity Differences of Order p
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    Chapter 16 Clifford Analysis on the Sphere
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    Chapter 17 Type-Changing Transformations of Pseudo-Euclidean Hurwitz Pairs, Clifford Analysis, and Particle Lifetimes
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    Chapter 18 Modified Quaternionic Analysis in ℝ 4
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    Chapter 19 Geometric Algebra and Lobachevski Geometry
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    Chapter 20 Generalizing the (F,G)- Derivative in the Sense of Bers
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    Chapter 21 Formes Quadratiques De Hardy-Weinberg et Algèbres de Clifford
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    Chapter 22 On Dirac Equations in Curved Space-Times
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    Chapter 23 Some Partial Differential Equations in Clifford Analysis
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    Chapter 24 Teaching Clifford Algebra as Physical Mathematics
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    Chapter 25 Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle
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    Chapter 26 Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum
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    Chapter 27 Higher Spin and the Spacetime Algebra
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    Chapter 28 Curved Radon Transforms in Clifford Analysis
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    Chapter 29 On a Class of Non-Linear Boundary Value Problems
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    Chapter 30 Pin Structures and the Dirac Operator on Real Projective Spaces and Quadrics
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    Chapter 31 Construction of Monopoles and Instantons by Using Spinors and the Inversion Theorem
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    Chapter 32 Determinants, Manifolds with Boundary and Dirac Operators
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    Chapter 33 New Dynamical Equations for Many Particle System on the Basis of Multicomplex Algebra