Elements of Algebraic Topology

Munkres, James R.; Krantz, Steven G.; Parks, Harold R.

ISBN 10: 1032765542 / ISBN 13: 9781032765549

Editore: Chapman and Hall/CRC, 2025

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Titolo: Elements of Algebraic Topology

Casa editrice: Chapman and Hall/CRC

Data di pubblicazione: 2025

Legatura: Rilegato

Condizione: New

Edizione: seconda edizione

Descrizione articolo

Riassunto:

This classic text appears here in a new edition for the first time in four decades. The new edition, with the aid of two new authors, brings it up to date for a new generation of mathematicians and mathematics students.

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for communicating complex topics and the fun nature of algebraic topology for beginners.

This second edition retains the essential features of the original book. Most of the notation and terminology are the same. There are some useful additions. There is a new introduction to homotopy theory. A new Index of Notation is included. Many new exercises are added.

Algebraic topology is a cornerstone of modern mathematics. Every working mathematician should have at least an acquaintance with the subject. This book, which is based largely on the theory of triangulations, provides such an introduction. It should be accessible to a broad cross-section of the profession―both students and senior mathematicians. Students should have some familiarity with general topology.

Informazioni sull?autore:

James R. Munkres served on the MIT Mathematics Faculty from 1960-2000, and continues as Senior Lecturer. He received the PhD in Mathematics from the University of Michigan under the supervision of Edwin Moise in 1956. Professor Munkres is a differential topologist and is also responsible for the Munkres assignment algorithm. He authored numerous texts. His distinctions include the MIT School of Science Teaching Prize for Undergraduate Education in 1984, and an Honorary Doctorate from Nebraska Wesleyan University in 1989.

Steven G. Krantz is a professor at Washington University in St. Louis where he teaches mathematics. He received his Ph.D. from Princeton University and since then has taught at UCLA, Princeton University, and Pennsylvania State University. Dr. Krantz has written over 175 scholarly papers and more than 65 books. He is the founding editor of the Journal of Geometric Analysis. He was named a fellow of the American Mathematical Society and has received the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize.

Harold R. Parks received his Ph.D. in mathematics from Princeton University. He was a J. D. Tamarkin Instructor at Brown University. He then assumed a tenure-track position at Oregon State University. He was promoted to Professor in 1989. He spent the academic year 1982-83 at Indiana University as a Visiting Associate Professor. During his time in the Mathematics Department of Oregon State, he served at various times as Assistant Department Chair, Associate Department Chair, and Department Chair. He has written 8 books and 42 scholarly papers. He edits 2 journals. He is an AMS Fellow.