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Topology (Hardcover)

de James Munkres (Author) "We adopt, as most mathematicians do, the naive point of view regarding set theory ..." En savoir plus
4.9étoiles sur 5  Voir tous les commentaires (14 évaluations de client)
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This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.



From the Back Cover

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

Dans ce livre (les détails)
First Sentence
We adopt, as most mathematicians do, the naive point of view regarding set theory. Lire la première page
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Concordance
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Plat recto | Droit d'auteur | Table des matières | Extrait | Index | Plat verso
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Topology
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Topology 4.9étoiles sur 5 (14)
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14 évaluations
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3 étoiles:    (0)
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4.9étoiles sur 5 (14 évaluations de client)
 
 
 
 
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5.0étoiles sur 5 great!, Avril 12 2004
Par another reader (Victoria, Canada) - Voir tous mes commentaires
Not much to add here... there are enough easy problems that I can get the hang of something, but also some really tough ones at the end of each problem section. The proofs and examples in the text are really good guides to doing the problems also. In some sections there are counterexamples for, say, the converse of a theorem which are always really pathological. At the beginning of each section there is some discussion on what to expect, why the stuff is important, what to do with it, etc. Even though I had a really good prof for the topology course I did this book was very helpful out of the classroom.
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5.0étoiles sur 5 Excellent Topology Book, Avril 7 2004
Par Un client
My introduction to Munkres was in an independent study of point set topology in my final semester of undergraduate work. A professor assigned me problems from the book, but my learning was largely self motivated. I found that it was an excellent book for independent study. The text was clear and readable and the exercises helped to cement the concepts that are introduced in the reading.

Later at graduate school, Munkres was also used in a topology class at the beginning graduate level. Highlights were taken from the first section (point set topology), and a large focus of the class was on the algebraic topology in the second section of the book. Sometimes I had difficulty following exactly what the professor was doing at the blackboard, but I could always understand what was going on when I consulted Munkres.

I would stress that this is only to be used as an introduction to algebraic topology, as there is nearly no development of homology groups and other algebraic concepts. However, it gives a very good presentation for the fundamental group. As a whole it would be a very good addition to your mathematical library.

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5.0étoiles sur 5 Wonderful text in a poor binding, Aoû 11 2003
Par Juan David Gonzalez Cobas "jdgc" (Gijon, Asturias Spain) - Voir tous mes commentaires
(REAL NAME)   
As far as contents is concerned, this is a wonderful textboot for self-studying topology. Full of examples and a bit slow-paced, it describes even the 'clever' proofs (like Tichonoff's theorem) so that it makes their core ideas come naturally. The selection of topics is superb (algebraic topology has a much wider coverage than in the 1st edition).

The only drawback, and it is a serious one, is the binding. For a well-selling book $[...] worth, one could expect a *decent* binding, but the outcome is a *shame*. With time, the covers of my copy got ridiculously bent outwards, quite like if was cooked in my oven (which I didn't, of course).

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 		 Commentaires client les plus récents

5.0étoiles sur 5 Flawless introductory topology text
This is a fantastic book, the type of perfection to which all writers of mathematical texts should aspire. Read more
Publié le Jui 30 2003 par David Elder

5.0étoiles sur 5 Awsome text, bad binding
This book is extremely well written; a great place to start learning topology. Unfortunately, the publisher has not given it the binding it deserves. Read more
Publié le Nov. 5 2002

5.0étoiles sur 5 The best place to begin studying topology
Although both parts of this book are exceptionally well written,
I've seen even better presentations of general topology in Sutherland's "Introduction to Topological and... Read more
Publié le Aoû 9 2002 par Todd Ebert

4.0étoiles sur 5 Clear Elementary Exposition
This book should be treated as a senior undergraduate textbook on general probability. It can be used for 2-semesters 1st year graduate course textbook though it lack... Read more
Publié le Janv. 21 2002 par Diff D

5.0étoiles sur 5 A Clear and Illuminating Exposition
As an engineering physicist trying to pick up more abstract math, I found topology to be a very difficult subject. Read more
Publié le Déc 9 2001 par Mohammad

5.0étoiles sur 5 A Great Work
Taking a first course in topology could not be better complemented. This clear exposition of point set and algebraic topology is so well written that it could even be used for... Read more
Publié le Oct. 28 2001 par Mohammad

5.0étoiles sur 5 Excellent for self-study
(note: This applies to the 1974 edition. I'm guessing that the newer edition is similar or better) I've taught myself all the mathematics that I know beyond basic arithmetic, so... Read more
Publié le Juil 20 2001 par asdfasdfasdf

5.0étoiles sur 5 Wonderful! Easy to understand.
A lot of the concepts in topology are very abstract and not easy for students to grasp. But this book is broken down into enough small section to make it easier to learn... Read more
Publié le Avril 25 2001 par Lori L. Ceangailte

4.0étoiles sur 5 PHENOMENAL!!!
This book by Munkres makes the world of topology accessible to those who are either not topologists or are just beginning their careers in topology. Read more
Publié le Fév 17 2001 par mathman

5.0étoiles sur 5 The Best Math Book I've Ever Read
I have a fairly large library of mathematical litterature, and the Munkres book is, by far, the best book in my collection. Read more
Publié le Aoû 18 2000 par Chris Moore

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