Invariant algebras and geometric reasoning / Hongbo Li.

Format:

Book

Author/Creator:

Li, Hongbo.

Language:

English

Subjects (All):

Clifford algebras.

Invariants.

Symmetry (Mathematics).

Physical Description:

1 online resource (xiv, 518 p. ) ill.

Edition:

1st ed.

Place of Publication:

Singarore ; Hackensack, N.J. : World Scientific, c2008.

Language Note:

English

Summary:

Contains the author's development of Grassmann-Cayley algebra and geometric algebra and their applications in automated reasoning of classical geometries. This book includes three advanced invariant algebras - Cayley bracket algebra, conformal geometric algebra, and null bracket algebra - for efficient geometric computing.

Contents:

Projective Space, Bracket Algebra and Grassmann-Cayley Algebra; Projective Incidence Geometry with Cayley Bracket Algebra; Projective Conic Geometry and Binary Grassmann-Cayley Algebra; Clifford Algebra and Geometric Algebra; Conformal Geometric Algebra for Classical Geometries; Null Bracket Algebra and Euclidean Geometry.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 495-504) and index.

ISBN:

9786611919009

9781281919007

1281919004

9789812770110

9812770119

OCLC:

879025485