Focused on "What Every Mathematician Needs to Know," this book focuses on the analytical tools necessary for thinking like a mathematician. It anticipates many of the questions readers might have, and develops the subject slowly and carefully, with each chapter containing a full exposition of topics, many examples, and practice problems to reinforce the concepts as they are introduced. "Find the Flaw" problems help readers learn to read proofs critically. KEY TOPICS: Contains five core chapters on elementary logic, methods of proof, set theory, functions, and relations; and four chapters of examples, theorems, and projects. MARKET: For those interested in abstract algebra or real analysis.