Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Graduate Texts in Mathematics Ser.: Foundations of Hyperbolic Manifolds by John G. Ratcliffe (2006, Hardcover)
Rarewaves (622782)
97.7% positive feedback
Price:
US $111.29
ApproximatelyPHP 6,216.77
+ $3.99 shipping
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherSpringer New York
ISBN-100387331972
ISBN-139780387331973
eBay Product ID (ePID)54231239
Product Key Features
Number of PagesXii, 782 Pages
LanguageEnglish
Publication NameFoundations of Hyperbolic Manifolds
Publication Year2006
SubjectGeometry / Non-Euclidean, Geometry / General, Topology, Geometry / Algebraic
FeaturesRevised
TypeTextbook
AuthorJohn G. Ratcliffe
Subject AreaMathematics
SeriesGraduate Texts in Mathematics Ser.
FormatHardcover
Dimensions
Item Height0.6 in
Item Weight99.8 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN2006-926460
Dewey Edition20
ReviewsFrom the reviews of the second edition: "Designed to be useful as both textbook and a reference, this book renders a real service to the mathematical community by putting together the tools and prerequisites needed to enter the territory of Thurston's formidable theory of hyperbolic 3-mainfolds ... . Every chapter is followed by historical notes, with attributions to the relevant literature, both of the originators of the idea present in the chapter and of modern presentation thereof. The bibliography contains 463 entries." (Victor V. Pambuccian, Zentralblatt MATH, Vol. 1106 (8), 2007), From the reviews of the second edition:"Designed to be useful as both textbook and a reference, this book renders a real service to the mathematical community by putting together the tools and prerequisites needed to enter the territory of Thurston's formidable theory of hyperbolic 3-mainfolds … . Every chapter is followed by historical notes, with attributions to the relevant literature, both of the originators of the idea present in the chapter and of modern presentation thereof. The bibliography contains 463 entries." (Victor V. Pambuccian, Zentralblatt MATH, Vol. 1106 (8), 2007)
Series Volume Number149
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal516.9
Edition DescriptionRevised edition
Table Of ContentEuclidean Geometry.- Spherical Geometry.- Hyperbolic Geometry.- Inversive Geometry.- Isometries of Hyperbolic Space.- Geometry of Discrete Groups.- Classical Discrete Groups.- Geometric Manifolds.- Geometric Surfaces.- Hyperbolic 3-Manifolds.- Hyperbolic n-Manifolds.- Geometrically Finite n-Manifolds.- Geometric Orbifolds.
SynopsisThis book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks., This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American university. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The second edition contains hundreds of changes, corrections and new additions include. The exercises have been thoroughly reworked and over 100 new exercises have been added. The author has also prepared a solutions manual which is available to professors who choose to adopt this text for their course. This carefully written textbook has been heavily class-tested and each chapter contains exercises and a section of historical remarks., This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of - gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the ?rst-year graduate level of an American university. The book is divided into three parts. The ?rst part, consisting of Ch- ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete re'ection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is - votedtothetheoryofhyperbolicmanifolds. ThemainresultsareMostow's rigidity theorem and the determination of the structure of geometrically ?nite hyperbolic manifolds. The third part, consisting of Chapter 13, - tegrates the ?rst two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincar´ e's fundamental polyhedron theorem., This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American university. The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The second edition contains hundreds of changes and corrections, and new additions include: A more thorough discussion of polytopes; Discussion of Simplex Reflection groups has been expanded to give a complete classification of the Gram matrices of spherical, Euclidean and hyperbolic n-simplices; A new section on the volume of a simplex, in which a derivation of Schlafli?'s differential formula is presented; A new section with a proof of the n-dimensional Gauss-Bonnet theorem. The exercises have been thoroughly reworked, pruned, and upgraded, and over 100 new exercises have been added. The author has also prepared a solutions manual which is available to professors who choose to adopt this text for their course., This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
LC Classification NumberQA440-699
Be the first to write a review
