Proofs 101: An Introduction to Formal Mathematics
- Length: 196 pages
- Edition: 1
- Language: English
- Publisher: Chapman and Hall/CRC
- Publication Date: 2020-11-20
- ISBN-10: 0367536935
- ISBN-13: 9780367536930
- Sales Rank: #0 (See Top 100 Books)
Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra.
The book prepares students for the proofs they will need to analyze and write the axiomatic nature of mathematics and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies.
Features
- Designed to be teachable across a single semester
- Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses
- Offers a balanced variety of easy, moderate, and difficult exercises
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