Clifford Algebras: An Introduction by D.J.H. Garling (English) Paperback Book

Description: Clifford Algebras: An Introduction by D.J.H. Garling This straightforward introduction gives a self-contained account of Clifford algebras suitable for research students, final year undergraduates and working mathematicians and physicists. It includes the necessary background material about multilinear algebra, real quadratic spaces and finite-dimensional real algebras and many applications in mathematics and physics. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Clifford algebras, built up from quadratic spaces, have applications in many areas of mathematics, as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the classical groups and to generalize the Hilbert transform. They also have their place in physics, setting the scene for Maxwells equations in electromagnetic theory, for the spin of elementary particles and for the Dirac equation. This straightforward introduction to Clifford algebras makes the necessary algebraic background - including multilinear algebra, quadratic spaces and finite-dimensional real algebras - easily accessible to research students and final-year undergraduates. The author also introduces many applications in mathematics and physics, equipping the reader with Clifford algebras as a working tool in a variety of contexts. Author Biography D. J. H. Garling is a Fellow of St Johns College and Emeritus Reader in Mathematical Analysis at the University of Cambridge, in the Department of Pure Mathematics and Mathematical Statistics. Table of Contents Introduction; Part I. The Algebraic Environment: 1. Groups and vector spaces; 2. Algebras, representations and modules; 3. Multilinear algebra; Part II. Quadratic Forms and Clifford Algebras: 4. Quadratic forms; 5. Clifford algebras; 6. Classifying Clifford algebras; 7. Representing Clifford algebras; 8. Spin; Part III. Some Applications: 9. Some applications to physics; 10. Clifford analyticity; 11. Representations of Spind and SO(d); 12. Some suggestions for further reading; Bibliography; Glossary; Index. Review ... it became clear that Garling has spotted a need for a particular type of book, and has delivered it extremely well. Of all the books written on the subject, Garlings is by some way the most compact and concise ... this is a very good book which provides a balanced and concise introduction to the subject of Clifford algebras. Math students will find it ideal for quickly covering a range of algebraic properties, and physicists will find it a very handy source of reference for a variety of material. Chris Doran, SIAM News "This is a notable book that constitutes a valuable addition to the library of anyone interested in the study of Clifford algebras and their applications. The book is written in a concise way and provides a precises introduction to the old and new developments concerning Cliffords ideas. It can be used by either students or researchers in mathematics or physics who want to master this important subject." Pierre Angles, Mathematical Reviews "... it became clear that Garling has spotted a need for a particular type of book, and has delivered it extremely well. Of all the books written on the subject, Garlings is by some way the most compact and concise... this is a very good book which provides a balanced and concise introduction to the subject of Clifford Algebras. Math students will find it ideal for quickly covering a range of algebraic properties, and physicists will find it a very handy source of reference for a variety of material." Chris Doran, SIAM News Review Quote "This is a notable book that constitutes a valuable addition to the library of anyone interested in the study of Clifford algebras and their applications. The book is written in a concise way and provides a precises introduction to the old and new developments concerning Cliffords ideas. It can be used by either students or researchers in mathematics or physics who want to master this important subject." Pierre Angles, Mathematical Reviews Promotional "Headline" A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics. Description for Bookstore This straightforward introduction gives a self-contained account of Clifford algebras suitable for research students, final year undergraduates and working mathematicians and physicists. It includes the necessary background material about multilinear algebra, real quadratic spaces and finite-dimensional real algebras and many applications in mathematics and physics. Description for Library This straightforward introduction gives a self-contained account of Clifford algebras suitable for research students, final year undergraduates and working mathematicians and physicists. It includes the necessary background material about multilinear algebra, real quadratic spaces and finite-dimensional real algebras and many applications in mathematics and physics. Details ISBN1107422191 Author D.J.H. Garling Publisher Cambridge University Press Series London Mathematical Society Student Texts Year 2011 ISBN-10 1107422191 ISBN-13 9781107422193 Format Paperback Media Book Language English Series Number 78 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom DEWEY 512.57 Short Title CLIFFORD ALGEBRAS Residence ENK Publication Date 2011-06-23 Pages 210 Affiliation University of Cambridge Illustrations Worked examples or Exercises Audience Professional and Scholarly UK Release Date 2011-06-23 AU Release Date 2011-06-23 NZ Release Date 2011-06-23 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:91400541;

Price: 115.96 AUD

Location: Melbourne

End Time: 2025-01-02T02:28:08.000Z

Shipping Cost: 9.76 AUD