Items related to The Theory of Spinors (Dover Books on Mathematics)
Synopsis
The French mathematician Élie Cartan (1869–1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to introduce spinors into Riemannian geometry, and particularly to apply the idea of parallel transport to these geometrical entities.
The book is divided into two parts. The first is devoted to generalities on the group of rotations in n-dimensional space and on the linear representations of groups, and to the theory of spinors in three-dimensional space. Finally, the linear representations of the group of rotations in that space (of particular importance to quantum mechanics) are also examined. The second part is devoted to the theory of spinors in spaces of any number of dimensions, and particularly in the space of special relativity (Minkowski space). While the basic orientation of the book as a whole is mathematical, physicists will be especially interested in the final chapters treating the applications of spinors in the rotation and Lorentz groups. In this connection, Cartan shows how to derive the "Dirac" equation for any group, and extends the equation to general relativity.
One of the greatest mathematicians of the 20th century, Cartan made notable contributions in mathematical physics, differential geometry, and group theory. Although a profound theorist, he was able to explain difficult concepts with clarity and simplicity. In this detailed, explicit treatise, mathematicians specializing in quantum mechanics will find his lucid approach a great value.
"synopsis" may belong to another edition of this title.
- PublisherDover Publications
- Publication date1981
- ISBN 10 0486640701
- ISBN 13 9780486640709
- BindingPaperback
- LanguageEnglish
- Number of pages192
- Rating
Other Popular Editions of the Same Title
Search results for The Theory of Spinors (Dover Books on Mathematics)
Stock Image
The Theory of Spinors (Dover Books on Mathematics)
Published by
Dover Publications (edition ), 1981
ISBN 10: 0486640701
ISBN 13: 9780486640709
Used
Paperback
Seller: BooksRun, Philadelphia, PA, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. Seller Inventory # 0486640701-11-1
Quantity: 1 available
Stock Image
The Theory of Spinors (Dover Books on Mathematics)
Seller: SecondSale, Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Condition: Acceptable. Item in acceptable condition! Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00083811213
Quantity: 1 available
Stock Image
The Theory of Spinors (Dover Books on Mathematics)
Seller: SecondSale, Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00079754310
Quantity: 1 available
Stock Image
The Theory of Spinors (Dover Books on Mathematics)
Seller: GF Books, Inc., Hawthorne, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. Book is in Used-VeryGood condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain very limited notes and highlighting. 0.57. Seller Inventory # 0486640701-2-3
Quantity: 1 available
Stock Image
The Theory of Spinors (Dover Books on Mathematics)
Seller: Book Deals, Tucson, AZ, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Good condition. This is the average used book, that has all pages or leaves present, but may include writing. Book may be ex-library with stamps and stickers. 0.57. Seller Inventory # 353-0486640701-gdd
Quantity: 1 available
Stock Image
Theory of Spinors
Seller: J. Lawton, Booksellers, Readville, MA, U.S.A.
Seller rating 4 out of 5 stars
Paperback. Condition: Good condition. Seller Inventory # 018342
Quantity: 1 available
Seller Image
Theory of Spinors
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 438967-n
Quantity: Over 20 available
Seller Image
The Theory of Spinors (Paperback or Softback)
Published by
Dover Publications 2/1/1981, 1981
ISBN 10: 0486640701
ISBN 13: 9780486640709
New
Paperback or Softback
Seller: BargainBookStores, Grand Rapids, MI, U.S.A.
Seller rating 5 out of 5 stars
Paperback or Softback. Condition: New. The Theory of Spinors 0.56. Book. Seller Inventory # BBS-9780486640709
Quantity: 5 available
Stock Image
The Theory of Spinors Format: Paperback
Seller: INDOO, Avenel, NJ, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Brand New. Seller Inventory # 9780486640709
Quantity: Over 20 available
Stock Image
The Theory of Spinors (Dover Books on Mathematics)
Seller: Midtown Scholar Bookstore, Harrisburg, PA, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: Very Good. Very Good paperback with light shelfwear - NICE! Standard-sized. Seller Inventory # mon0000252195
Quantity: 1 available