A bridge to higher mathematics
This is an introduction to proofs book for the course offering a transition to more advanced mathematics. It contains logic, sets, functions, relations, the construction of rational, real and complex numbers and their properties. It also has a chapter on cardinality and a chapter on counting techniques. The book explains various proof techniques and has many examples which help with the transition to more advanced classes like real analysis, groups, rings and fields or topology.--
Read More ↓Title Statements
- Full title :A bridge to higher mathematics / Valentin Deaconu, University of Nevada, Reno, USA, Donald C. Pfaff, University of Nevada, Reno, USA.
Summary
This is an introduction to proofs book for the course offering a transition to more advanced mathematics. It contains logic, sets, functions, relations, the construction of rational, real and complex numbers and their properties. It also has a chapter on cardinality and a chapter on counting techniques. The book explains various proof techniques and has many examples which help with the transition to more advanced classes like real analysis, groups, rings and fields or topology.--
Read More ↓Edition Statements
- Publication Date:©2017
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton, Florida
- Language:eng
- Publication Date:©2017
Notes
"A Chapman & Hall book."
The Physical Object
- Description:1 online resource : : text file, PDF
Edition Identifiers
- ISBN:9781315381374, 1315381370, 9781498775267, 1498775268, 9781315319872, 131531987X, 9781498775281, 1498775284
- DOI:10.1201/9781315381374
- oclc:ocn967412450
- LC Classification:QA9.54
- Dewey Decimal:511.3
Table of Contents
1. Elements of logic -- 2. Proofs : structures and strategies -- 3. Elementary theory of sets -- 4. Functions -- 5. Relations -- 6. Axiomatic theory of positive integers -- 7. Elementary number theory -- 8. Cardinality : finite sets, infinite sets -- 9. Counting techniques and combinatorics -- 10. The construction of integers and rationals -- 11. The construction of real and complex numbers.
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