The Nuts and Bolts of Proofs
An Introduction to Mathematical Proofs
- Antonella Cupillari, Pennsylvania State Erie, Behrend College, U.S.A.
Intended as a supplement for undergraduate courses in higher mathematics (including Linear Algebra and Geometry), discrete mathematics courses in computer science, and as a primer to assist engineering and physical science students on fundamental proof techniques
- Published: August 2005
- Imprint: ACADEMIC PRESS
- ISBN: 978-0-12-088509-1
âI really enjoyed the 'Collection of Proofs.' These exercises will really stretch a studentâs imagination, and go a long way to impressing on them the standards for a believable proof and the necessity of understanding a proposition before embarking on its proof...The new material only makes a great book even greater.â -Robert Beezer, University of Puget Sound "It treats mathematical proofs, and mathematical thinking in general, as an art rather than a science, and does not descend into cookbook recipes for approaching their construction. Thus it empowers students to discover, write and analyze mathematical statements, and to think for themselves. It brings out important details to be considered in constructing proofs gradually and doesnât overwhelm the reader..." -Andy Miller, University of Oklahoma