Schaum's Outline of Set Theory and Related Topics (Paperback)

by Seymour Lipschutz (Author), Seymour Lipschutz (Author) "The concept of a set appears in all branches of mathematics..." (more)
Key Phrases: consistent enumeration, similarity mapping, finite cardinal numbers, Supplementary Problems, Solved Problems, Draw the Hasse (more...)

Editorial Reviews

Product Description
If you want top grades and thorough understanding of set theory and related topics, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 530 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) This new edition features improved problems in the ordinals, cardinals, and transfinite series chapters, plus new coverage of real numbers and integers.

From the Back Cover
Master set theory 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:

• Brush up before tests
• Find answers fast
• Study quickly and more effectively
• Get the big picture without spending hours poring over lengthy textbooks.

Schaum's Outlines give you the information 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 lets you study at your own pace and reminds 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:

• 530 detailed problems with step-by-step solutions
• Clear, concise explanations of set theory, relations and functions, cardinal and ordinal numbers, and more
• Help with partially and totally ordered sets and the axiom of choice
• Answered exercises for improving your problem-solving skills

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

See all Editorial Reviews

Product Details

• Paperback: 200 pages
• Publisher: McGraw-Hill; 2 edition (July 1, 1998)
• Language: English
• ISBN-10: 0070381593
• ISBN-13: 978-0070381599
• Product Dimensions: 10.8 x 8.1 x 0.5 inches
• Shipping Weight: 1.1 pounds (View shipping rates and policies)
• Average Customer Review: 4.4 out of 5 stars See all reviews (8 customer reviews)
• Amazon.com Sales Rank: #52,836 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

20 of 21 people found the following review helpful:

5.0 out of 5 stars excellent book for non-mathematicians, October 12, 2000

By	M. Rumore (Oswego, il USA) - See all my reviews (REAL NAME)

This is THE book to learn set theory if you are not a mathematician or mathematics major. Set theory is presented in a non-axiomatic manner. All the basics are covered: elementary set theory, cardinal and ordinal numbers, axiom of choice, and a brief intro to logic. The number of examples is huge. If you need examples when learning, then this is the book for you!

12 of 12 people found the following review helpful:

4.0 out of 5 stars All you need and more, October 30, 2002

By	Jeffrey Leeper "kem2070" (Seattle, WA USA) - See all my reviews (TOP 1000 REVIEWER)    (REAL NAME)

This review is from: Schaum's Outline of Set Theory and Related Topics (Paperback)

Like the other books of the Schaum's Outline series, "Theory and Problems of Set Theory and Related Topics" provides you with hundreds of problems, which have been worked out step by step, to show you how the theory works. This is similar to a professor in college showing you the problems on the board, but these don't get erased and are much more legible.

In addition to the solved problems, there are supplementary problems to test your understanding of the material. At the end of each chapter, the answers are printed for you to check your work.

The discussions of set theory include definitions to ensure that you are familiar with the lingo. There are also plenty of examples to illustrate the author's meaning. With all the information on set theory, there are also chapters on quantifiers, boolean algebra, logical reasoning, and the algebra of propositions.

This book provides some good assistance in learning set theory.

15 of 18 people found the following review helpful:

5.0 out of 5 stars Provides essential knowledge to e-commerce security pros, April 30, 2001

By	Mike Tarrani "www.tarrani.com" (Deltona, FL USA) - See all my reviews (TOP 500 REVIEWER)    (REAL NAME)    (COMMUNITY FORUM 04)

This is an excellent introductory text on set theory. It provides a fast and thorough coverage of the basics in an economical, if terse, style. If you diligently go through this short 200 page book you will have a solid grasp of set theory that you can immediately use on the job.

I am an IT consultant so, although this book has a much wider audience, I am focusing my review on how this book applies to IT. Because many e-commerce systems are being designed using role-based access controls that are independent of any specific application it is essential that the designers have a thorough understanding of set theory. As such, I think this book is an indispensable quick reference guide for IT security specialists, system architects and QA team members who need to brush op on the subject. These folks design, validate and verify systems that require strong security from within and outside of their organizations. This type of work requires a provably correct design that can only be approached with set theory. Moreover, the testing of the design, as implemented, also requires an understanding of this subject in order to develop a viable test strategy and produce test cases. Given the fact that most IT professionals are not versed in set theory, this book is one of the quickest ways to get up-to-speed.

Among the highlights of this book are: the paradoxes in set theory, which is "must reading" regardless of how you intend to use the knowledge and skills that this book provides, algebra of propositions and logical reasoning.

This book is clearly written, however, the material requires a strong dedication to learning because the subject is complex and dry. No author, regardless of his or her writing skills can change that. If you need to understand set theory and don't know where to begin, this book is one of the best starting points I have come across.