Algebraic Topology Homology

Basic Concepts of Algebraic Topology  eBooks & eLearning

Posted by arundhati at Dec. 27, 2020
Basic Concepts of Algebraic Topology

Fred H. Croom, "Basic Concepts of Algebraic Topology "
English | ISBN: 0387902880 | | 177 pages | PDF | 5 MB

Basic Concepts of Algebraic Topology  eBooks & eLearning

Posted by AvaxGenius at Oct. 1, 2023
Basic Concepts of Algebraic Topology

Basic Concepts of Algebraic Topology by Fred H. Croom
English | PDF | 1978 | 187 Pages | ISBN : 03879028802 | 14.2 MB

This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc­ tion to point-set topology and some familiarity with vector spaces. Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing. The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity" beyond the junior level.

A Basic Course in Algebraic Topology  eBooks & eLearning

Posted by AvaxGenius at Oct. 1, 2023
A Basic Course in Algebraic Topology

A Basic Course in Algebraic Topology by William S. Massey
English | PDF | 1991 | 448 Pages | ISBN : 0387974300X | 38.9 MB

This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.

Algebraic topology: homology and cohomology (repost)  eBooks & eLearning

Posted by roxul at July 6, 2017
Algebraic topology: homology and cohomology (repost)

Andrew H. Wallace, "Algebraic topology: homology and cohomology"
English | ISBN: 0486462390, 0805394826 | 1970 | 272 pages | PDF | 3 MB

Algebraic topology: homology and cohomology  eBooks & eLearning

Posted by nebulae at Feb. 22, 2014
Algebraic topology: homology and cohomology

Andrew H. Wallace, "Algebraic topology: homology and cohomology"
English | ISBN: 0486462390, 0805394826 | 1970 | 272 pages | PDF | 3 MB

Morse Theory and Floer Homology  eBooks & eLearning

Posted by AvaxGenius at Feb. 11, 2025
Morse Theory and Floer Homology

Morse Theory and Floer Homology by Michèle Audin , Mihai Damian
English | PDF (True) | 2014 | 595 Pages | ISBN : 1447154959 | 4.9 MB

This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold.

Morse Theory and Floer Homology  eBooks & eLearning

Posted by AvaxGenius at Feb. 11, 2025
Morse Theory and Floer Homology

Morse Theory and Floer Homology by Michèle Audin , Mihai Damian
English | PDF (True) | 2014 | 595 Pages | ISBN : 1447154959 | 4.9 MB

This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold.

Algebraic Topology: A Toolkit (De Gruyter Textbook)  eBooks & eLearning

Posted by Free butterfly at Jan. 6, 2025
Algebraic Topology: A Toolkit (De Gruyter Textbook)

Algebraic Topology: A Toolkit (De Gruyter Textbook) by Kevin P. Knudson
English | August 19, 2024 | ISBN: 3111014819 | MOBI | 4.53 Mb

Algebraic Topology: A Toolkit (De Gruyter Textbook)  eBooks & eLearning

Posted by Free butterfly at Jan. 6, 2025
Algebraic Topology: A Toolkit (De Gruyter Textbook)

Algebraic Topology: A Toolkit (De Gruyter Textbook) by Kevin P. Knudson
English | August 19, 2024 | ISBN: 3111014819 | MOBI | 4.53 Mb

Basic Algebraic Topology and its Applications (Repost)  eBooks & eLearning

Posted by DZ123 at May 21, 2020
Basic Algebraic Topology and its Applications (Repost)

Mahima Ranjan Adhikari, "Basic Algebraic Topology and its Applications"
English | 2016 | ISBN: 8132228413 | PDF | pages: 628 | 11.0 mb