An invitation to abstract mathematics /
Bela Bajnok
- 1 online resource (xi, 406 pages) : illustrations
- Undergraduate texts in mathematics, 0172-6056 .
- Undergraduate texts in mathematics .
Includes bibliographical references and index.
What's Mathematics? -- Let's Play a Game! -- What's the Name of the Game? -- How to Make a Statement? -- What's True in Mathematics? -- Famous Classical Theorems -- Recent Progress in Mathematics -- How to Solve It? -- Let's Be Logical! -- Setting Examples -- Quantifier Mechanics -- Mathematical Structures -- Working in the Fields (and Other Structures) -- Universal Proofs -- The Domino Effect -- More Domino Games -- Existential Proofs -- A Cornucopia of Famous Problems -- Advanced Math for Beginners -- Good Relations -- Order, Please! -- Let's Be Functional! -- Infinite Delights -- Number Systems Systematically -- Games Are Valuable!