Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics

✍ Scribed by Daniel Klawitter (auth.)

Publisher: Springer Spektrum
Year: 2015
Tongue: English
Leaves: 228
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework.

✦ Table of Contents

Front Matter....Pages 1-18
Models and Representations....Pages 5-99
Chain Geometry over Clifford Algebras....Pages 101-180
Kinematic Mappings for Spin Groups....Pages 181-199
Back Matter....Pages 201-216

✦ Subjects

Geometry; Algebraic Geometry; Computational Mathematics and Numerical Analysis

📜 SIMILAR VOLUMES

Clifford Algebras: Geometric Modelling a

📁 Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics

✍ Daniel Klawitter 📂 Library 📅 2014 🏛 Springer Spektrum 🌐 English

Geometric Modeling and Algebraic Geometr

📁 Geometric Modeling and Algebraic Geometry

✍ Tor Dokken (auth.), Bert Jüttler, Ragni Piene (eds.) 📂 Library 📅 2008 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

<p>The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has d

Geometric Modeling and Algebraic Geometr

📁 Geometric Modeling and Algebraic Geometry

✍ B. Juttler, R. Piene 📂 Library 📅 2008 🏛 Springer 🌐 English

Geometric modeling and algebraic geometr

📁 Geometric modeling and algebraic geometry

✍ Juettler B., Piene R. (eds.) 📂 Library 📅 2008 🏛 Springer 🌐 English

Algebraic Geometry and Geometric Modelin

📁 Algebraic Geometry and Geometric Modeling

✍ Mohamed Elkadi, Bernard Mourrain, Ragni Piene 📂 Library 📅 2006 🏛 Springer 🌐 English

Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging

Geometric Modeling and Algebraic Geometr

📁 Geometric Modeling and Algebraic Geometry

✍ Bert Jüttler, Ragni Piene 📂 Library 📅 2008 🏛 Springer 🌐 English

The two fields of Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways.This contributed book presents