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Geometric Multivector Analysis: From Grassmann to Dirac (Birkhäuser Advanced Texts Basler Lehrbücher) by Andreas Rosén is a nonfiction available to read on EtoBox.

What is Geometric Multivector Analysis: From Grassmann to Dirac (Birkhäuser Advanced Texts Basler Lehrbücher) about?

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 tool for studying spacetime isometries and Möbius maps in arbitrary dimensions. The book carefully develops the basic calculus of multivector fields and differential forms, and highlights novelties in the treatment of, e.g., pullbacks and Stokes’s theorem as compared to standard literature. It touches on recent research areas in analysis and explains how the function spaces of multivector fields are split into complementary subspaces by the natural first-order differential operators, e.g., Hodge splittings and Hardy splittings. Much of the analysis is done on bounded domains in Euclidean space, with a focus on analysis at the boundary. The book also includes a derivation of new Dirac integral equations for solving Maxwell scattering problems, which hold promise for future numerical applications. The last section presents down-to-earth proofs of index theorems for Dirac operators on compa

Who reads Geometric Multivector Analysis: From Grassmann to Dirac (Birkhäuser Advanced Texts Basler Lehrbücher)?

Author

Andreas Rosén

Publisher

Springer International Publishing : Imprint: Birkhäuser

Published

2020

Language

EN

ISBN

9783030314101

Category

nonfiction

Subjects

Mathematics, Stem