Geometric Multivector Analysis

Name: Geometric Multivector Analysis
Brand: Springer Nature Switzerland AG
SKU: 9783030314101
Price: 34822 HUF
Availability: InStock

From Grassmann to Dirac

Szerző: Andreas Rosén

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer Nature Switzerland AG

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

34 822 Ft

This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focu...

Információk a könyvről

Szerző

Andreas Rosén

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2019

oldal

465

EAN

9783030314101

Enbook ID

24520052

Kiadó

Springer Nature Switzerland AG

Súly

881

Méretek

155 x 235 x 32

Teljes leírás

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 compact manifolds, one of the most celebrated achievements of 20 th -century mathematics. The book is primarily intended for graduate and PhD students of mathematics. It is also recommended for more advanced undergraduate students, as well as researchers in mathematics interested in an introduction to geometric analysis.

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták

Leggyakrabban keresett

Categories

Authors

Publishers

Termékek

Termékek

Leggyakrabban keresett

Categories

Authors

Publishers

Termékek

Termékek

Geometric Multivector Analysis

From Grassmann to Dirac

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták