Advances in Analysis and Geometry : New Developments Using Clifford Algebras

Tao Qian

ISBN 10: 3034895895 / ISBN 13: 9783034895897

Published by Birkhäuser Basel, Birkhäuser Basel, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations 2 2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn't be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space.

Seller Inventory # 9783034895897

Bibliographic Details

• Title: Advances in Analysis and Geometry : New Developments Using Clifford Algebras
• Publisher: Birkhäuser Basel, Birkhäuser Basel
• Publication Date: 2012
• Language: English
• ISBN 10: 3034895895
• ISBN 13: 9783034895897
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 22D millimeters 235 millimeters width by 155 millimeters height by 22 millimeters depth
• Weight: 598 grams

About this title

Synopsis

This volume is dedicated to analytic and geometric aspects of Clifford analysis and its applications. There are two sources of papers in this collection. One is a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other source are invited contributions by experts in the field. All articles were strictly refereed and contain previously unpublished new results, some include comprehensive surveys. Including applications to articificial intelligence, number theory, numerical analysis and physics, the book will be a unique resource for postgraduates and researchers in a large number of disciplines.