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Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer

Description: Understanding Geometric Algebra by Kenichi Kanatani Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.Unlike similar texts, this book first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra. It starts with 3D Euclidean geometry along with discussions as to how the descriptions of geometry could be altered if using a non-orthogonal (oblique) coordinate system. The text focuses on Hamiltons quaternion algebra, Grassmanns outer product algebra, and Clifford algebra that underlies the mathematical structure of geometric algebra. It also presents points and lines in 3D as objects in 4D in the projective geometry framework; explores conformal geometry in 5D, which is the main ingredient of geometric algebra; and delves into the mathematical analysis of camera imaging geometry involving circles and spheres.With useful historical notes and exercises, this book gives readers insight into the mathematical theories behind complicated geometric computations. It helps readers understand the foundation of todays geometric algebra. FORMAT Hardcover LANGUAGE English CONDITION Brand New Author Biography Kenichi Kanatani is a professor emeritus at Okayama University. A fellow of IEICE and IEEE, Dr. Kanatani is the author of numerous books on computer vision and applied mathematics. He is also a board member of several journals and conferences. Table of Contents Introduction. 3D Euclidean Geometry. Oblique Coordinate Systems. Hamiltons Quaternion Algebra. Grassmanns Outer Product Algebra. Geometric Product and Clifford Algebra. Homogeneous Space and Grassmann-Cayley Algebra. Conformal Space and Conformal Geometry: Geometric Algebra. Camera Imaging and Conformal Transformations. Answers. Bibliography. Index. Review "Several software tools are available for executing geometric algebra, but the purpose of the book is to bring about a deeper insight and interest in the theory on which these tools are based."—Zentralblatt MATH 1319 Review Quote "Several software tools are available for executing geometric algebra, but the purpose of the book is to bring about a deeper insight and interest in the theory on which these tools are based." -- Zentralblatt MATH 1319 Details ISBN1482259508 Author Kenichi Kanatani Pages 208 Publisher Apple Academic Press Inc. Year 2015 ISBN-10 1482259508 ISBN-13 9781482259506 Format Hardcover Imprint Apple Academic Press Inc. Subtitle Hamilton, Grassmann, and Clifford for Computer Vision and Graphics Place of Publication Oakville Country of Publication Canada DEWEY 512.1 Short Title UNDERSTANDING GEOMETRIC ALGEBR Language English Media Book Illustrations 9 Tables, black and white; 74 Illustrations, black and white Affiliation Okayama University, Japan Publication Date 2015-04-06 UK Release Date 2015-04-06 Alternative 9780367241711 Audience Tertiary & Higher Education We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134474712;

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Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer

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ISBN-13: 9781482259506

Book Title: Understanding Geometric Algebra

Number of Pages: 208 Pages

Language: English

Publication Name: Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics

Publisher: Apple Academic Press Inc.

Publication Year: 2015

Subject: Mathematics

Item Height: 254 mm

Item Weight: 567 g

Type: Textbook

Author: Kenichi Kanatani

Item Width: 178 mm

Format: Hardcover

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