Fundamentals of Algebraic Topology

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Fundamentals of Algebraic Topology by Steven H. Weintraub, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Steven H. Weintraub ISBN: 9781493918447
Publisher: Springer New York Publication: October 31, 2014
Imprint: Springer Language: English
Author: Steven H. Weintraub
ISBN: 9781493918447
Publisher: Springer New York
Publication: October 31, 2014
Imprint: Springer
Language: English

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 particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated.

Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated.

Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.

More books from Springer New York

Cover of the book Observer’s Guide to Star Clusters by Steven H. Weintraub
Cover of the book Biology of Menopause by Steven H. Weintraub
Cover of the book Perioperative Kidney Injury by Steven H. Weintraub
Cover of the book Residue Reviews by Steven H. Weintraub
Cover of the book Systems Design for Remote Healthcare by Steven H. Weintraub
Cover of the book Peer Relationships and Social Skills in Childhood by Steven H. Weintraub
Cover of the book Psychiatric Neurotherapeutics by Steven H. Weintraub
Cover of the book Nonparametric Statistics for Applied Research by Steven H. Weintraub
Cover of the book Bioterrorism and Infectious Agents by Steven H. Weintraub
Cover of the book Human Factors in Augmented Reality Environments by Steven H. Weintraub
Cover of the book Microsurgery for Fertility Specialists by Steven H. Weintraub
Cover of the book Structural and Magnetic Phase Transitions in Minerals by Steven H. Weintraub
Cover of the book The MPEG Representation of Digital Media by Steven H. Weintraub
Cover of the book Surgical Oncology by Steven H. Weintraub
Cover of the book The Archaeology of Anxiety by Steven H. Weintraub
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy