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Schaums Outline of General Topology (Schaum's Outlines), by Seymour Lipschutz
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The ideal review for your general topology course
More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice.
- 391 solved problems
- 356 supplementary problems
- Teaches effective problem-solving
- Outline format supplies a concise guide to the standard college courses in General Topology
- Supports and supplements the leading General Topology textbooks
- Detailed explanations and practice problems in general topology
- Comprehensive review of specialized topics in topology
- Sales Rank: #424402 in Books
- Published on: 2011-09-30
- Original language: English
- Number of items: 1
- Dimensions: 10.80" h x .60" w x 8.30" l, 1.30 pounds
- Binding: Paperback
- 256 pages
From the Back Cover
About the Author
Seymour Lipschutz is on the mathematics faculty of Temple University. He formerly taught at the Polytechnic Institute of Brooklyn and was visiting professor in the computer science department of Brooklyn College. He is the author of Schaum's Outline of Beginning Linear Algebra, Schaum's Outline of Discrete Mathematics, and Schaum's Outline of Linear Algebra.
Most helpful customer reviews
20 of 21 people found the following review helpful.
If you are a good researcher, this is a good resource!
By A Customer
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!
14 of 14 people found the following review helpful.
A gem among the Schaum's series; all editions are the same, however
By Timbeaux
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.
17 of 18 people found the following review helpful.
Great resource for college-level math students...
By Stephen Armstrong
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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