
A Course on Surgery Theory
Princeton University Press
Will be published approx. on 26. January 2021
Book
Paperback/Softback
442 pages
978-0-691-16049-8 (ISBN)
Description
An advanced treatment of surgery theory for graduate students and researchers
Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.
Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.
More details
Series
Language
English
Place of publication
New Jersey
United States
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
14 b/w illus.
Dimensions
Height: 234 mm
Width: 155 mm
Thickness: 25 mm
Weight
635 gr
ISBN-13
978-0-691-16049-8 (9780691160498)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
01/2021
1st Edition
Princeton University Press
€85.49
Available for download
Persons
Stanley Chang is the Mildred Lane Kemper Professor of Mathematics at Wellesley College. Shmuel Weinberger is the Andrew MacLeish Distinguished Service Professor of Mathematics at the University of Chicago. Weinberger is the author of The Topological Classification of Stratified Spaces and Computers, Rigidity, and Moduli.