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Schaum's Outline of General Topology Paperback – June 1, 1968

ISBN-13: 978-0070379886 ISBN-10: 0070379882 Edition: 1st

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Paperback, June 1, 1968
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Product Details

  • Series: Schaum's Outline Series
  • Paperback: 256 pages
  • Publisher: McGraw-Hill; 1 edition (June 1, 1968)
  • Language: English
  • ISBN-10: 0070379882
  • ISBN-13: 978-0070379886
  • Product Dimensions: 0.6 x 8.4 x 10.8 inches
  • Shipping Weight: 1.2 pounds
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon Best Sellers Rank: #1,432,321 in Books (See Top 100 in Books)

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Customer Reviews

4.7 out of 5 stars
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Most Helpful Customer Reviews

18 of 19 people found the following review helpful By A Customer on July 22, 2002
Format: Paperback
If you are taking an introductory Topology course, I recommend using this book. It is a little old, and some of the problems are not solved, but it will offer you an advantage when using your class text. You should use Lipschutz's book together with REA's Topology Problem Solver to give you full study advantage when taking on this most difficult subject. With some moderate study, you should do better on your assignements!
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15 of 16 people found the following review helpful By Stephen Armstrong on January 8, 2005
Format: Paperback Verified Purchase
I wish I had known about this summary when I was taking my Fundamental Concepts in Math course at the university. I would have done a lot better! I agree with the previous reviewer about adding REA's Problem Solver book for a complete set.

The topics covered include: (1) Sets and relations, (2) Functions, (3) Cardinality and Order, (4) Topology of the line and plane, (5) Topological Spaces, (6) Bases and Subbases [sic], (7) Continuity and topological equivalence, (7) Metric and normed spaces, (8)Countability, (10) Separation axioms, (11) Compactness, (12) Product spaces, (13) Connectedness, (14) Complete metric spaces, and (15) Function spaces. There is an appendix about Properties of real numbers.

This is a technical book and not for a casual reader. I believe this will be difficult for a teach-yourself-to-know reader, unless the reader has considerable math experience.

Another book that I found helpful in Fundamental Concepts (not simply Topology) was Courant et al., What is mathematics? 2nd ed.

My Fundamental Concepts professor taught the course with only lecture notes, and I was completely lost. Had I had this outline, I think I would have done better, because this Outline has a number of solved problems and exercises.

Good luck.
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8 of 8 people found the following review helpful By Delmer Reed on February 20, 2009
Format: Paperback
This product takes the down and dirty information of Point-set topology and feeds it to the sophomore college student. Its a good read for those out of their first year of Calculus and really want to prepare or know what's up. Its used as a supplemental text for my Honors Course, and it really helped me get used to the topological definitions and notations. Filled with solutions and worked out problems it builds essential skills required and expected of the Junior level student. It's great for engineering majors, so they won't freak out when they have to deal with upper level math. I give it a very strong recommendation. But, just remember its higher level material, so don't expect it to go down like a Calculus course; it needs time for mental percolation.
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6 of 6 people found the following review helpful By Timbeaux on June 17, 2012
Format: Paperback Verified Purchase
I think the Schaum's Outline Series does a real service to students of science and mathematics, but the quality varies a bit from book to book. I find it fascinating that this one--not updated since 1965 despite a new cover and more accurate tally of the number of solved problems, and dealing with an abstract subject that would seem to have a very limited readership--is so well done. It covers most of the first half of Munkres' famous book, or nearly all of Sutherland's newer Introduction to Metric and Topological Spaces, with many more examples and solved problems than either. It is extremely user friendly, and each chapter reads well though, given the abstraction of the topic, I found it best to read each chapter two or three times before working the problems. The first three review chapters were a bit dull, but then it takes off with a nice review of real analysis in chapter 4, "Topology of the Line and Plane." I liked the Hilbert Space coverage in Chapter 8,"Metric and Normed Spaces," but wish there was a bit more on that subject.
I am using this for home study some 25 years after dropping topology in college (ironically Munkres was my advisor and teacher!) because I didn't quite yet have the mathematical maturity to take the course. Had I only discovered this book back then, and worked through Chapters 5 - 10 the summer before, I think the course would have been no problem. A great little book, and cheap.
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Format: Paperback
When I was taking a master's level course in topology, the first three weeks were easy, a simple continuation of what I had had in set theory, logic and analysis. Then things executed a change in the negative direction. I was lost, puzzled by some of the expressions and the purpose of some of the theorems.
In an attempt to right my mathematical ship, I went to the bookstore and purchased a copy of this book. It was money well spent, after a weekend working through some of the problems, I understood the ideas behind the theorems and was able to solve the problems given on the take-home tests. I received an A in the class and some of that is due to the example problems in this book.
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2 of 2 people found the following review helpful By G. Gordillo on November 5, 2011
Format: Paperback Verified Purchase
I have learned more from this book than I learned in the class I was in. Best Buy Ever! Plus the examples make everything clearer. And since it uses sets, Rn and R a example settings, I can try to calculate something while trying to understand it and in order to understand it.
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