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Schaum's Outline of General Topology [Paperback]

Seymour Lipschutz (Author)
4.6 out of 5 stars  See all reviews (10 customer reviews)


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Paperback $13.87  
Paperback, June 1, 1968 --  
There is a newer edition of this item:
Schaums Outline of General Topology (Schaum's Outline Series) Schaums Outline of General Topology (Schaum's Outline Series) 4.6 out of 5 stars (10)
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Book Description

0070379882 978-0070379886 June 1, 1968 1

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

  • Practice problems with full explanations that reinforce knowledge
  • Coverage of the most up-to-date developments in your course field
  • In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.



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About the Author

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Product Details

  • Paperback: 256 pages
  • Publisher: McGraw-Hill; 1 edition (June 1, 1968)
  • Language: English
  • ISBN-10: 0070379882
  • ISBN-13: 978-0070379886
  • Product Dimensions: 10.8 x 8.1 x 0.6 inches
  • Shipping Weight: 1.2 pounds
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (10 customer reviews)
  • Amazon Best Sellers Rank: #429,001 in Books (See Top 100 in Books)

 

Customer Reviews

10 Reviews
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Average Customer Review
4.6 out of 5 stars (10 customer reviews)
 
 
 
 
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12 of 13 people found the following review helpful:
4.0 out of 5 stars If you are a good researcher, this is a good resource!, July 22, 2002
By A Customer
This review is from: Schaum's Outline of General Topology (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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10 of 11 people found the following review helpful:
5.0 out of 5 stars Great resource for college-level math students..., January 8, 2005
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Amazon Verified Purchase(What's this?)
This review is from: Schaum's Outline of General Topology (Paperback)
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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5 of 5 people found the following review helpful:
5.0 out of 5 stars Great Book, February 20, 2009
By 
Delmer Reed (Costa Mesa, CA) - See all my reviews
(REAL NAME)   
This review is from: Schaum's Outline of General Topology (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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Inside This Book (learn more)
First Sentence:
The concept set appears in all branches of mathematics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
point open topology, defining subbase, indiscrete space, finite subclass, associated set functions, base for the usual topology, nested interval property, countable local base, cofinite topology, first countable space, second countable space, open superset, infinite open intervals, only open subsets, closed superset, adjacent diagram, countable spaces, indexed class, supplementary problems, coarsest topology, finite intersection property, contracting mapping, following topology, open spheres, disjoint open sets
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Prove Theorem, Prove Proposition, Triangle Inequality, Solved Problems, Zorn's Lemma, Heine-Borel Theorem, Prove Lemma, Tychonoff Product Theorem, Schroeder-Bernstein Theorem, Bolzano-Weierstrass Theorem, Continuum Hypothesis, Kuratowski Closure Axioms, Use Problem
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