In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra.

This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history.

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).

*"synopsis" may belong to another edition of this title.*

From the reviews:

“An excellent read. In just 200 pages the author explains what Lie groups and algebras actually are. ... An undergraduate who has taken the calculus series, had a course in linear algebra that discusses matrices, has some knowledge of complex variables and some understanding of group theory should easily follow the material to this point. ... the best book to get you going.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013)

“There are several aspects of Stillwell’s book that I particularly appreciate. He keeps the sections very short and straightforward, with a few exercises at the end of each to cement understanding. The theory is built up in small bites. He develops an intuition for what is happening by starting with very simple examples and building toward more complicated groups. ... In short, if you want to teach an undergraduate course on Lie theory, I recommend Stillwell.”(David Bressoud, The UMAP Journal, Vol. 31 (4), 2010)

"Lie theory, basically the study of continuous symmetry, certainly occupies a central position in modern mathematics ... . In Naive Lie Theory, Stillwell (Univ. of San Franciso) concentrates on the simplest examples and stops short of representation theory ... . Summing Up: Recommended. Upper-division undergraduates and graduate students." (D. V. Feldman, Choice, Vol. 46 (9), May, 2009)

"This book provides an introduction to Lie groups and Lie algebras suitable for undergraduates having no more background than calculus and linear algebra. ... Each chapter concludes with a lively and informative account of the history behind the mathematics in it. The author writes in a clear and engaging style ... . The book is a welcome addition to the literature in representation theory." (William M. McGovern, Mathematical Reviews, Issue 2009 g)

"This is a beautifully clear exposition of the main points of Lie theory, aimed at undergraduates who have ... calculus and linear algebra. ... The book is well equipped with examples ... . The book has a very strong geometric flavor, both in the use of rotation groups and in the connection between Lie algebras and Lie groups." (Allen Stenger, The Mathematical Association of America, October, 2008)

*"About this title" may belong to another edition of this title.*

US$ 18.97

**Shipping:**
US$ 8.05

From United Kingdom to U.S.A.

Published by
Springer New York 2008-07-24, New York |London
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer New York 2008-07-24, New York |London, 2008. hardback. Book Condition: New. Bookseller Inventory # 9780387782140

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2008. Hardback. Book Condition: NEW. 9780387782140 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Bookseller Inventory # HTANDREE0274699

More Information About This Seller | Ask Bookseller a Question

Published by
Springer

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Quantity Available: 1

Seller:

Rating

**Book Description **Springer. Book Condition: New. pp. xiii + 218 This item is printed on demand. Bookseller Inventory # 7496583

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2008. Book Condition: New. Bookseller Inventory # GH9780387782140

More Information About This Seller | Ask Bookseller a Question

Published by
Springer Verlag
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer Verlag, 2008. Hardcover. Book Condition: Brand New. 1st edition. 217 pages. 9.25x6.25x0.50 inches. In Stock. Bookseller Inventory # __0387782141

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, 2008. Hardcover. Book Condition: New. This item is printed on demand. Bookseller Inventory # INGM9780387782140

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 2

Seller:

Rating

**Book Description **Springer, 2008. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110387782141

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2008. Hardcover. Book Condition: New. book. Bookseller Inventory # M0387782141

More Information About This Seller | Ask Bookseller a Question

Published by
Springer-Verlag Gmbh Jul 2008
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Gmbh Jul 2008, 2008. Buch. Book Condition: Neu. Neuware - In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called 'classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra.This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994). 218 pp. Englisch. Bookseller Inventory # 9780387782140

More Information About This Seller | Ask Bookseller a Question

Published by
Springer-Verlag Gmbh Jul 2008
(2008)

ISBN 10: 0387782141
ISBN 13: 9780387782140

New
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Gmbh Jul 2008, 2008. Buch. Book Condition: Neu. Neuware - In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called 'classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra.This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994). 218 pp. Englisch. Bookseller Inventory # 9780387782140

More Information About This Seller | Ask Bookseller a Question