How to Prove It: A Structured Approach

ISBN-13: 9781108424189 / Angielski / Twarda / 2019 / 468 str.

Daniel J. Velleman

Opis

Helps students transition from problem solving to proving theorems, with a new chapter on number theory and over 150 new exercises.

Recenzje

'Altogether this is an ambitious and largely very successful introduction to the writing of good proofs, laced with many good examples and exercises, and with a pleasantly informal style to make the material attractive and less daunting than the length of the book might suggest. I particularly liked the many discussions of fallacious or incomplete proofs, and the associated challenges to readers to untangle the errors in proofs and to decide for themselves whether a result is true.' Peter Giblin, University of Liverpool, The Mathematical Gazette

Spis treści

1. Sentential logic; 2. Quantificational logic; 3. Proofs; 4. Relations; 5. Functions; 6. Mathematical induction; 7. Number theory; 8. Infinite sets.