Master set theory and related topics 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 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 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 solved problems with step-by-step solutions; Concise explanations of functions, relations, cardinal and ordinal numbers, transfinite induction, and more; Clearly stated definitions, theorems, and descriptive material—followed by graded problems that illustrate each concept; Expanded sections to give you a leg up on advanced theories such as Turing machines and computable functions. 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!
Chapters include: Sets and Subsets. Basic Set Operators. Sets of Numbers. Functions. Product Sets and Graphs of Functions. Relations. Further Theory of Sets. Further Theory of Functions, Operations. Cardinal Numbers. Partially and Totally Ordered Sets. Well-Ordered Sets/Ordinal Numbers. Axiom of Choice. Paradoxes in Set Theory. Algebra of Propositions. Quantifiers. Boolean Algebra. Logical Reasoning.