This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.

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

Richard Evan Schwartz is at Brown University, Providence, RI, USA.

This is a novel, eclectic, and ambitious collection of geometric and topological topics developed as they relate to surfaces ... a terrific volume. Highly recommended. --Choice

...a delightful reading. Schwartz gives a beautiful, careful exposition of some of the most elegant ideas, theorems, and proofs in the theory of surfaces. It's an ideal book for casual reading in spare mathematical moments. --MAA Reviews

This highly readable book is an excellent introduction to the theory of surfaces, covering a wide variety of topics with references for further reading. Each chapter contains numerous exercises on the material to get the reader thinking about the subjects covered. There are also many diagrams to aid the reader in understanding the material. --Alastair Fletcher, Zentralblatt MATH

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

US$ 55.50

**Shipping:**
FREE

From United Kingdom to U.S.A.

Published by
American Mathematical Society, United States
(2011)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, United States, 2011. Paperback. Book Condition: New. Language: English . Brand New Book. This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigourous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. Bookseller Inventory # AAN9780821853689

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2011)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, 2011. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CE-9780821853689

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society, United States
(2011)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, United States, 2011. Paperback. Book Condition: New. Language: English . Brand New Book. This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigourous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. Bookseller Inventory # AAN9780821853689

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2001)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, 2001. Paperback. Book Condition: New. book. Bookseller Inventory # M0821853686

More Information About This Seller | Ask Bookseller a Question

Published by
Amer Mathematical Society
(2011)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Amer Mathematical Society, 2011. Paperback. Book Condition: Brand New. 312 pages. 8.25x5.50x0.75 inches. In Stock. Bookseller Inventory # __0821853686

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2001)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, 2001. Paperback. Book Condition: New. Bookseller Inventory # DADAX0821853686

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2001)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **American Mathematical Society, 2001. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110821853686

More Information About This Seller | Ask Bookseller a Question

Published by
American Mathematical Society
(2001)

ISBN 10: 0821853686
ISBN 13: 9780821853689

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **American Mathematical Society, 2001. Paperback. Book Condition: New. Brand New!. Bookseller Inventory # VIB0821853686

More Information About This Seller | Ask Bookseller a Question