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Elements Of Algebraic Topology epub download

by James R Munkres


Издательство: Addison Wesley Publishing Company. Other readers will always be interested in your opinion of the books you've read

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Elements Of Algebraic Topology book.

The Fundamental Group. This is one of those obtuse books where even when you already know everything it is going to say, the presentation is turgid and confusing. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Prentice Hall, Incorporated, 2000 - 537 pagine. This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. The writing is tedious and fails to communicate the interest. Leggi recensione completa.

Elements of Algebraic Topology provides the most concrete approach to the subject. 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 comunicating complex topics and the fun nature of algebraic topology for beginners.

This book describes the following items: Algebraic Topology, We found some servers for you, where you can download the e-book "Elements of algebraic topology" by James R. Munkres TXT for free. The Free Books Online team wishes you a fascinating reading! Please, select your region to boost load speed: North America.

Shipped from UK, please allow 10 to 21 business days for arrival. ix, 454pp. ill. Includes index. Bibliography: p. [447]-448. ex. lib. Good copy.

Elements Of Algebraic Topology epub download

ISBN13: 978-0201045864

ISBN: 0201045869

Author: James R Munkres

Category: Math and Science

Subcategory: Mathematics

Language: English

Publisher: Addison Wesley Publishing Company; 1st edition (January 21, 1984)

Pages: 454 pages

ePUB size: 1730 kb

FB2 size: 1971 kb

Rating: 4.9

Votes: 367

Other Formats: doc azw docx lrf

Related to Elements Of Algebraic Topology ePub books

the monster
Very good text if you want to learn Poincare duality and cohomology rings of spaces. Fundamental theorems of homological algebra such as Kunneth's theorem and universal coefficient theorems are also thouroughly discussed. I think a good strategy is to use Hatcher's book for Fundamental groups, covering spaces, homology and cohomology before Poincare duality and move to Munkres for cup product, cap product and Poincare duality.
the monster
Very good text if you want to learn Poincare duality and cohomology rings of spaces. Fundamental theorems of homological algebra such as Kunneth's theorem and universal coefficient theorems are also thouroughly discussed. I think a good strategy is to use Hatcher's book for Fundamental groups, covering spaces, homology and cohomology before Poincare duality and move to Munkres for cup product, cap product and Poincare duality.
Envias
It's worth noting that there are quite a few in number of books out there on introductory (i.e. a first course in) alg. top.
In particular, I should mention that the book by Rotman and sizeable portions of Bredon, "Geometry and Topology" can serve as good supplementary reading. I still don't think pi_1 should have been left out; although one *could* refer to the prequel, there's still more to be desired by way of completeness, if anything, as this book is intended for beginners. For instance, the relation between the fundamental group and the first homology group would have certainly shed some light on these seemingly (at first glance, anyway) disparate invariants (as it is heavy-going on the (co)homological apparatus altogether).

Munkres is by no means encyclopaedic, which is good, in opposition to, say, Spanier or Whitehead, and certainly warrants attention to worked-out examples in detail and some (not-so) routine exercises which makes this book accessible to wider mathematical audiences wishing to learn a little about this fascinating subject.
Envias
It's worth noting that there are quite a few in number of books out there on introductory (i.e. a first course in) alg. top.
In particular, I should mention that the book by Rotman and sizeable portions of Bredon, "Geometry and Topology" can serve as good supplementary reading. I still don't think pi_1 should have been left out; although one *could* refer to the prequel, there's still more to be desired by way of completeness, if anything, as this book is intended for beginners. For instance, the relation between the fundamental group and the first homology group would have certainly shed some light on these seemingly (at first glance, anyway) disparate invariants (as it is heavy-going on the (co)homological apparatus altogether).

Munkres is by no means encyclopaedic, which is good, in opposition to, say, Spanier or Whitehead, and certainly warrants attention to worked-out examples in detail and some (not-so) routine exercises which makes this book accessible to wider mathematical audiences wishing to learn a little about this fascinating subject.
Nikojas
This well written text is one of the standard references in algebraic topology courses because of its conciseness, and I find it very useful as a reference text.
However I think it is a little incomplete because of several reasons.
(1)It pays no attention to one basic concept of algebraic topology: the fundamental group.
(2) It doesn't cover ^Cech homology, important in other areas, like dimension theory for example.
(3) It doesn't stress the most important feature of algebraic topology: its connection to other areas of mathematics (analysis, differential geometry, etc.).
(4) Its list of references is too short, and lacks almost completely HISTORICAL references which are always important to become an expert in any field.
Conclusion: a good reference on homology and cohomology essentials, but not "the" reference on algebraic topology as a whole.
Nikojas
This well written text is one of the standard references in algebraic topology courses because of its conciseness, and I find it very useful as a reference text.
However I think it is a little incomplete because of several reasons.
(1)It pays no attention to one basic concept of algebraic topology: the fundamental group.
(2) It doesn't cover ^Cech homology, important in other areas, like dimension theory for example.
(3) It doesn't stress the most important feature of algebraic topology: its connection to other areas of mathematics (analysis, differential geometry, etc.).
(4) Its list of references is too short, and lacks almost completely HISTORICAL references which are always important to become an expert in any field.
Conclusion: a good reference on homology and cohomology essentials, but not "the" reference on algebraic topology as a whole.
Snowseeker
Algebraic topology is a tough subject to teach, and this book does a very good job. Some prerequisites, however, are essential:
* point set topology (e.g. in Munkres' Topology)
* Abstract algebra
* Mathematical maturity to be willing to follow a definition and argument even when it seems like a weird side-track
In addition, this would not be the first book I would recommend to those interested in algebraic topology. First might be Massey's "Algebraic Topology: and Introduction" that introduces the fundamental group (conceptually easier than homology and cohomology).
At some point, however, a prospective student in topology will have to learn homological algebra and this provides the most concrete approach I know to the subject.
Algebraic topology is a lot of fun, but many of the previous textbooks had not given that impression. This one does.
Snowseeker
Algebraic topology is a tough subject to teach, and this book does a very good job. Some prerequisites, however, are essential:
* point set topology (e.g. in Munkres' Topology)
* Abstract algebra
* Mathematical maturity to be willing to follow a definition and argument even when it seems like a weird side-track
In addition, this would not be the first book I would recommend to those interested in algebraic topology. First might be Massey's "Algebraic Topology: and Introduction" that introduces the fundamental group (conceptually easier than homology and cohomology).
At some point, however, a prospective student in topology will have to learn homological algebra and this provides the most concrete approach I know to the subject.
Algebraic topology is a lot of fun, but many of the previous textbooks had not given that impression. This one does.