This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new...Daugiau...
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new...Daugiau...
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 i...Daugiau...
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new...Daugiau...
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 i...Daugiau...
Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the authors lecture notes and has been meticulously tailored to motivate students and inspire r...Daugiau...
This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is...Daugiau...
This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is...Daugiau...
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear...Daugiau...
(Išleidimo metai: 10-Sep-2016, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493948857)
This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are...Daugiau...
Lie groups, Lie algebras and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach allows the reader to get to the h...Daugiau...
(Išleidimo metai: 01-Nov-2014, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493918430)
This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are...Daugiau...
This graduate text, while focusing on locally convex topological vector spaces, covers most of the general theory needed for application to other areas of functional analysis. Includes over 100 exercises with varying levels of difficulty....Daugiau...
(Išleidimo metai: 25-Jan-2013, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461427902)
This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further stu...Daugiau...
(Išleidimo metai: 26-Aug-2012, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441999818)
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangen...Daugiau...
(Išleidimo metai: 11-Jun-2013, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461299080)
Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be...Daugiau...
(Išleidimo metai: 14-Dec-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781475722635)
In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added....Daugiau...
(Išleidimo metai: 13-Oct-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461265160)
Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have b...Daugiau...
(Išleidimo metai: 12-Oct-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461268697)
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significan...Daugiau...
(Išleidimo metai: 08-Oct-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461269007)
Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfelds recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the...Daugiau...
(Išleidimo metai: 05-Oct-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461268109)
This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, example...Daugiau...