An introduction to Clifford algebras and spinors for physicists and mathematicians.... Lees meer.

The first part of a two-volume set concerning the field of Clifford geometric algebra this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras... Lees meer.

Clifford algebra then called geometric algebra was introduced more than a cenetury ago by William K. Clifford algebra then called geometric algebra was introduced more than a cenetury ago by William K. Clifford building on work by Grassmann and Hamilton. Cliffor... Lees meer.

Clifford algebras built up from quadratic spaces have applications in many areas of mathematics as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the Atiyah Singer index theorem to provide double covers spin grou... Lees meer.

This monograph provides an introduction to the theory of Clifford algebras with an emphasis on its connections with the theory of Lie groups and Lie algebras. This monograph provides an introduction to the theory of Clifford algebras with an emphasis on its connec... Lees meer.

The aim of this book is to unite the seemingly disparate topics of Clifford algebras analysis on manifolds and harmonic analysis. The authors show how algebra geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis than has b... Lees meer.

Clifford algebra then called geometric algebra was introduced more than a cenetury ago by William K. Clifford algebra then called geometric algebra was introduced more than a cenetury ago by William K. Clifford building on work by Grassmann and Hamilton. Cliffor... Lees meer.

Clifford algebras have many well-known applications in physics engineering and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dyna... Lees meer.

This book presents dual quaternions and their associated Clifford algebras in a new light accessible to and geared towards the Computer Graphics community.... Lees meer.

This monograph provides an introduction to the theory of Clifford algebras with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford alge... Lees meer.

Clifford algebras built up from quadratic spaces have applications in many areas of mathematics as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the Atiyah Singer index theorem to provide double covers spin grou... Lees meer.

Ian Porteous has reworked his previous book on this subject Topological Geometry and has expanded and added material to bring the theory of Clifford algebras to the fore. This treatment of the theory of Clifford algebras will be welcomed for its clarity and detail.... Lees meer.

This volume is based on a conference entitled Clifford Algebras in Analysis held in Fayetteville Arkansas during the Easter weekend April 8 10th 1993. The conference deals almost exclusively with the impact of Clifford analysis on harmonic analysis. This new bo... Lees meer.

This book aimed at beginning graduate students in physics and mathematics introduces readers to the techniques of Clifford algebras. Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applicatio... Lees meer.

Clifford algebra for dual quaternions has emerged recently as an alternative to standard matrix algebra as a computational framework for computer graphics. This book presents dual quaternions and their associated Clifford algebras in a new light accessible to and geare... Lees meer.