Schaum's Outline of General Topology (Paperback)

by Seymour Lipschutz (Author) "The concept set appears in all branches of mathematics..." (more)
Key Phrases: point open topology, defining subbase, indiscrete space, Prove Theorem, Prove Proposition, Triangle Inequality (more...)

Editorial Reviews

Product Description
With more than 30 million copies sold, Schaum's are the most popular study guide on the planet. Mathematics students around the world turn to this clear and complete guide to general topology for its through introduction to the subject, including easy-to-follow explanations of topology of the line and plane and topological spaces. With 650 fully solved problems and hundreds more to solve on your own (with answers supplied), this guide can help you spend less time studying while you make better grades!

From the Back Cover
Master topology with Schaum's--the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!

Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's!

If you don't have a lot of time but want to excel in class, this book helps you:

• Review important definitions and theorems
• Find examples fast
• Study quickly and more effectively
• Get the big picture without spending hours poring over lengthy textbooks

Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format--without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill.

Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember--fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.

Inside, you will find:

• 650 problems, including step-by-step solutions
• Hundreds of additional practice problems, with answers supplied
• Clear explanations of the basic principles of the topology of the line and plane and topological spaces
• Understandable coverage of topological properties

If you want top grades and a thorough understanding of general topology, this powerful study tool is the best tutor you can have!

See all Editorial Reviews

Product Details

• Paperback: 256 pages
• Publisher: McGraw-Hill; 1 edition (June 1, 1968)
• Language: English
• ISBN-10: 0070379882
• ISBN-13: 978-0070379886
• Product Dimensions: 10.7 x 8.1 x 0.6 inches
• Shipping Weight: 14.4 ounces (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars See all reviews (8 customer reviews)
• Amazon.com Sales Rank: #257,951 in Books (See Bestsellers in Books)

  Popular in these categories: (What's this?)

  #41 in	Books > Science > Mathematics > Geometry & Topology > Topology
  #63 in	Books > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology

Customer Reviews

Most Helpful Customer Reviews

7 of 7 people found the following review helpful:

5.0 out of 5 stars Great resource for college-level math students..., January 8, 2005

By	Stephen Armstrong (Hadley, Ma USA) - See all my reviews (REAL NAME)

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.

9 of 10 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

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!

2 of 2 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 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.