About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521480221

ISBN-139780521480222

eBay Product ID (ePID)1938582

Product Key Features

Number of Pages592 Pages

Publication NameGeometric Algebra for Physicists

LanguageEnglish

Publication Year2003

SubjectPhysics / Mathematical & Computational, Geometry / Algebraic

TypeTextbook

Subject AreaMathematics, Science

AuthorAnthony Lasenby, Joan Lasenby, Christian D'orangeville, Steven R. Gullans, William Fitzgerald

FormatHardcover

Dimensions

Item Height1.3 in

Item Weight47.6 Oz

Item Length10 in

Item Width7.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2002-035182

Reviews'The range of topics presented in the book is astonishing. … The present book is intended for physicists, but mathematicians will also find it highly valuable. The exposition of Grassmann's algebra given at the beginning of the book is exceptionally clear and is written with a light touch. … It is extraordinarily well written and is a beautifully produced piece.'The Mathematical Gazette, 'The range of topics presented in the book is astonishing. The present book is intended for physicists, but mathematicians will also find it highly valuable. The exposition of Grassmann's algebra given at the beginning of the book is exceptionally clear and is written with a light touch. It is extraordinarily well written and is a beautifully produced piece.' The Mathematical Gazette, Reviews from the hardback edition'I would therefore highly recommend this book for anyone wishing to enter this interesting and potentially fundamental area.'Mathematics Today, 'The range of topics presented in the book is astonishing. â€¦ The present book is intended for physicists, but mathematicians will also find it highly valuable. The exposition of Grassmann's algebra given at the beginning of the book is exceptionally clear and is written with a light touch. â€¦ It is extraordinarily well written and is a beautifully produced piece.' The Mathematical Gazette, 'I would therefore highly recommend this book for anyone wishing to enter this interesting and potentially fundamental area.' Mathematics Today, 'The range of topics presented in the book is astonishing. ... The present book is intended for physicists, but mathematicians will also find it highly valuable. The exposition of Grassmann's algebra given at the beginning of the book is exceptionally clear and is written with a light touch. ... It is extraordinarily well written and is a beautifully produced piece.' The Mathematical Gazette, Reviews from the hardback edition 'I would therefore highly recommend this book for anyone wishing to enter this interesting and potentially fundamental area.' Mathematics Today

Dewey Edition21

IllustratedYes

Dewey Decimal530.15/635

Table Of ContentPreface; Notation; 1. Introduction; 2. Geometric algebra in two and three dimensions; 3. Classical mechanics; 4. Foundations of geometric algebra; 5. Relativity and spacetime; 6. Geometric calculus; 7. Classical electrodynamics; 8. Quantum theory and spinors; 9. Multiparticle states and quantum entanglement; 10. Geometry; 11. Further topics in calculus and group theory; 12. Lagrangian and Hamiltonian techniques; 13. Symmetry and gauge theory; 14. Gravitation; Bibliography; Index.

SynopsisEssais et Traites sur plusieurs Sujets, c'est sous ce titre que Hume reunit a partir de 1753 l'ensemble de ses uvres philosophiques. Cette collection, corrigee et completee au fil des editions, n'a jamais compris le Traite de la nature humaine, formellement eclu par son auteur. La derniere edition parut en 1777, apres la mort du philosophe qui l'avait soigneusement preparee. L'ensemble du recueil a une incontestable unite de pensee et d'ecriture, en depit de la liberte de style et de la variete d'objet qu'on y trouve. Il est l'expression d'un genre philosophique original auquel le lecteur ne peut rester insensible. Il a paru bon d'en presenter une traduction complete et entierement nouvelle qui en respecte la qualite et qui en favorise la lecture continue. Cette traduction suit l'ordre original des textes et est divisee en quatre volumes: - Volume 1: Essais moraux, politiques et litteraires (premiere partie); - Volume 2: Essais moraux, politiques et litteraires (deuxieme partie); - Volume 3: l'Enquete sur l'entendement humain, suivie de la Dissertation sur les passions; - Volume 4: l'Enquete sur les principes de la morale, suivie de l'Histoire naturelle de la religion., Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism. Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory., This book provides an introduction to geometric algebra, covering applications such as black hole physics and quantum computing. Suitable for researchers working in the fields of relativity and quantum theory, it can also be used as a graduate text for courses on the physical applications of geometric algebra., This book is a complete guide to the current state of geometric algebra with early chapters providing a self-contained introduction. Topics range from new techniques for handling rotations in arbitrary dimensions, the links between rotations, bivectors, the structure of the Lie groups, non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored.

LC Classification NumberQC20.7.C55 D67 2003