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#### Clifford Algebras and Lie Theory

Springer 2013; US$ 69.99This 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 algebras. It develops the spin groups and the spin representation, culminating in Cartan’s... more...

#### Foundations of Geometric Algebra Computing

Springer 2012; US$ 69.95The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications... more...

#### Operator Calculus on Graphs

World Scientific Publishing Company 2012; US$ 192.00This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science. Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for... more...

#### Geometric Computing

Springer 2010; US$ 129.99This book offers a gentle introduction to Clifford geometric algebra, an advanced mathematical framework, for applications in perception action systems. Part I, is written in an accessible way allowing readers to easily grasp the mathematical system of Clifford algebra. Part II presents related topics. While Part 3 features practical applications for... more...

#### Quadratic Mappings and Clifford Algebras

Springer 2008; US$ 139.00After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automorphisms of quadratic forms and Clifford algebras are... more...

#### Wavelets, Multiscale Systems and Hypercomplex Analysis

Springer 2006; US$ 189.00A whole function theory, different from the classical theory of several complex variables, can be developed with hypercomplex (Clifford) variables, Fueter polynomials and the Cauchy-Kovalevskaya product, instead of classical polynomials in 3 independent variables. This book contains topics on Clifford analysis, wavelets and multiscale analysis. more...

#### Real and Complex Clifford Analysis

Springer 2006; US$ 149.00Introduces many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. This book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. more...

#### Clifford Algebras and Spinors

Cambridge University Press 2001; US$ 104.00This is the second edition of Professor Lounesto's unique introduction to Clifford algebras and spinors. more...

#### Clifford Algebras and the Classical Groups

Cambridge University Press 1995; US$ 64.00A treatment of the theory of Clifford algebras that will be welcomed for its clarity and detail. more...

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