Matrix Groups for Undergraduates (Student Mathematical Library,) (Student Mathematical Library) | 
 enlarge | Author: Kristopher Tapp
Publisher: American Mathematical Society
Category: Book
Buy New: $29.00
New (9) Used (6) from $19.87
Rating:  1 reviews
Sales Rank: 849033
Media: Paperback
Pages: 166
Number Of Items: 1
Shipping Weight (lbs): 0.5
Dimensions (in): 8.4 x 5.4 x 0.4
ISBN: 0821837850
Dewey Decimal Number: 512.2
EAN: 9780821837856
Publication Date: June 1, 2005
Availability: Usually ships in 24 hours
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Product Description
Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups. Matrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intuition to describe basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori. The volume is suitable for graduate students and researchers interested in group theory.
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| Customer Reviews:
A Real Gem for Learning the Subject February 15, 2008
Dennis S. Bernstein (Ann Arbor, MI USA)
2 out of 2 found this review helpful
This book is a great introduction to matrix groups and related ideas. The author explains the basic ideas in a clear, concise, and precise way. Although there are many excellent texts on matrix groups and more abstract properties of groups, this book provides the most accessible introduction to the subject that I have found. The book is short and easy to read through, compact, and economically priced. I strongly recommend reading this book before attempting to delve into more advanced texts.
The clear and unified treatment of the real, complex, and quaternion groups is *very* nice. Overall, the writing style is so lucid, it is the kind of book where you feel that the writer is teaching you personally, rather than lecturing to an empty hall.
Because the book provides such an excellent introduction to the subject, I give it the full 5 stars. The book has a few typos and gaps, but most are pretty obvious. I hope that the author will expand on this book in a future edition, perhaps including a chapter on basic group theory. When you finish reading the book, your only complaint will be that it isn't longer! Given the excellent exposition, I will be on the lookout for any future texts from this author.
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