The Geometry of Discrete Groups (Graduate Texts in Mathematics) (v. 91)

3.5 avg rating
( 4 ratings by Goodreads )
 
9780387907888: The Geometry of Discrete Groups (Graduate Texts in Mathematics) (v. 91)

This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo­ metrical ideas to be found in that manuscript, as well as some more recent material. The text has been written with the conviction that geometrical explana­ tions are essential for a full understanding of the material and that however simple a matrix proof might seem, a geometric proof is almost certainly more profitable. Further, wherever possible, results should be stated in a form that is invariant under conjugation, thus making the intrinsic nature of the result more apparent. Despite the fact that the subject matter is concerned with groups of isometries of hyperbolic geometry, many publications rely on Euclidean estimates and geometry. However, the recent developments have again emphasized the need for hyperbolic geometry, and I have included a comprehensive chapter on analytical (not axiomatic) hyperbolic geometry. It is hoped that this chapter will serve as a "dictionary" offormulae in plane hyperbolic geometry and as such will be of interest and use in its own right.

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

Review:

"...a valuable resource for graduate students or advanced undergraduates." -- MATHEMATICAL REVIEWS

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

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

Beardon, Alan F.
Published by Springer-Verlag, China (2013)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Soft cover Quantity Available: 1
International Edition
Seller:
Bonny. Lee
(Vancouver, BC, Canada)
Rating
[?]

Book Description Springer-Verlag, China, 2013. Soft cover. Book Condition: Brand New. International edition Brand New SOFT COVER standard delivery. Bookseller Inventory # 001136

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 33.01
Convert Currency

Add to Basket

Shipping: US$ 30.00
From Canada to U.S.A.
Destination, Rates & Speeds

2.

Beardon, Alan F.
Published by Springer-Verlag New York Inc. (1995)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag New York Inc., 1995. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780387907888

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 79.48
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

3.

Alan F. Beardon
Published by Springer-Verlag New York Inc., United States (1995)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Hardcover Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 1995. Hardback. Book Condition: New. 1st ed. 1983. Corr. 2nd printing 1995. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo- metrical ideas to be found in that manuscript, as well as some more recent material. The text has been written with the conviction that geometrical explana- tions are essential for a full understanding of the material and that however simple a matrix proof might seem, a geometric proof is almost certainly more profitable. Further, wherever possible, results should be stated in a form that is invariant under conjugation, thus making the intrinsic nature of the result more apparent. Despite the fact that the subject matter is concerned with groups of isometries of hyperbolic geometry, many publications rely on Euclidean estimates and geometry. However, the recent developments have again emphasized the need for hyperbolic geometry, and I have included a comprehensive chapter on analytical (not axiomatic) hyperbolic geometry. It is hoped that this chapter will serve as a dictionary offormulae in plane hyperbolic geometry and as such will be of interest and use in its own right. Bookseller Inventory # LIE9780387907888

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 91.11
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

ALAN F. BEARDON
Published by Springer (1983)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Hardcover Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 1983. Hardback. Book Condition: NEW. 9780387907888 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0275159

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 81.27
Convert Currency

Add to Basket

Shipping: US$ 10.52
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Beardon, Alan F.
Published by Springer (2016)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780387907888_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 86.72
Convert Currency

Add to Basket

Shipping: US$ 5.09
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Alan F. Beardon
Published by Springer-Verlag New York Inc. (1995)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., 1995. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780387907888

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 82.65
Convert Currency

Add to Basket

Shipping: US$ 11.84
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Alan F. Beardon
Published by Springer (1995)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Hardcover First Edition Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Springer, 1995. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9780387907888

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 93.01
Convert Currency

Add to Basket

Shipping: US$ 3.54
From Germany to U.S.A.
Destination, Rates & Speeds

8.

Beardon, Alan F.
Published by Springer (2017)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Hardcover Quantity Available: > 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2017. Hardcover. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 0387907882

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 97.03
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

9.

Alan F. Beardon
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Quantity Available: 5
Seller:
ReadWhiz
(Portland, OR, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # ria9780387907888_ing

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 106.19
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

10.

Alan F. Beardon
Published by Springer-Verlag New York Inc., United States (1995)
ISBN 10: 0387907882 ISBN 13: 9780387907888
New Hardcover Quantity Available: 10
Print on Demand
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 1995. Hardback. Book Condition: New. 1st ed. 1983. Corr. 2nd printing 1995. Language: English . Brand New Book ***** Print on Demand *****. This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo- metrical ideas to be found in that manuscript, as well as some more recent material. The text has been written with the conviction that geometrical explana- tions are essential for a full understanding of the material and that however simple a matrix proof might seem, a geometric proof is almost certainly more profitable. Further, wherever possible, results should be stated in a form that is invariant under conjugation, thus making the intrinsic nature of the result more apparent. Despite the fact that the subject matter is concerned with groups of isometries of hyperbolic geometry, many publications rely on Euclidean estimates and geometry. However, the recent developments have again emphasized the need for hyperbolic geometry, and I have included a comprehensive chapter on analytical (not axiomatic) hyperbolic geometry. It is hoped that this chapter will serve as a dictionary offormulae in plane hyperbolic geometry and as such will be of interest and use in its own right. Bookseller Inventory # APC9780387907888

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 106.98
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book