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Schaum's Outline of Set Theory and Related Topics [Paperback]

Seymour Lipschutz
4.6 out of 5 stars  See all reviews (5 customer reviews)
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Book Description

July 22 1998 Schaum's Outline Series

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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From the Back Cover

Master set theory with SchaumOsNthe high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love SchaumOs 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 SchaumOs! 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. SchaumOs Outlines give you the information teachers expect you to know in a handy and succinct formatNwithout 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, SchaumOs lets you study at your own pace and reminds you of all the important facts you need to rememberNfast! And SchaumOs are so complete, theyOre 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! Chapters include: Part I: Sets and Basic Set Operations; Sets of Numbers; Relations; Functions; Further Theory of Sets and Functions; Product Sets and Graphs of Functions; Relations; Further Theory of Sets; Further Theory of Functions; Operations; Part II: Ordinals, Cardinals, and Transfinite Induction: Cardinal Numbers; Ordered Sets and Letters; Ordinal Numbers; Axiom of Choice; Zorn's Lemma, Well-Ordering Theorem o Paradoxes in Set Theory; Part III: Related Topics: Logic and Propositional Calculus; Boolean Algebra.

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

Inside This Book (Learn More)
First Sentence
The concept of a set appears in all branches of mathematics. Read the first page
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Front Cover | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

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Most helpful customer reviews
By Mike Tarrani TOP 1000 REVIEWER
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.
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4.0 out of 5 stars All you need and more Oct. 30 2002
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.
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5.0 out of 5 stars excellent book for non-mathematicians Oct. 12 2000
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!
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4.0 out of 5 stars Well presented with excellent problems! Nov. 15 1999
By A Customer
The material is well presented with numerous problems that drive home the concepts in the book. The reader must be a little careful as there a few errors in the Problem Solutions though. Overall, this is an excellent text.
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5.0 out of 5 stars useful book Dec 24 2012
By Shirley
Format:Paperback|Verified Purchase
This book is really useful. The explanations are clear and there is always simple examples following them to help people to understand the concept. My professor does not use questions from this book (he wrote his own questions) but it definitely helps you to understand the basic concept and how to use them. And the practice questions helps a lot too.
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