The elements of advanced mathematics
Author(s)
Bibliographic Information
The elements of advanced mathematics
（Textbooks in mathematics）
Chapman & Hall/CRC, 2022
5th ed.
- :hbk.
Available at / 2 libraries
-
No Libraries matched.
- Remove all filters.
Note
"A Chapman & Hall book"
Description and Table of Contents
Description
*An emphasis on the art of proof.
*Enhanced number theory chapter presents some easily accessible but still-unsolved problems. These include the Goldbach conjecture, the twin-prime conjecture, and so forth.
*The discussion of equivalence relations is revised to present reflexivity, symmetry, and transitivity before we define equivalence relations.
*The discussion of the RSA cryptosystem in Chapter 10 is expanded.
*The author introduces groups much earlier, as this is an incisive example of an axiomatic theory. Coverage of group theory, formerly in Chapter 11, has been moved up, this is an incisive example of an axiomatic theory.
Table of Contents
1. Basic Logic 2. Methods of Proof 3. Set Theory 4. Relations and Functions 5. Group Theory 6. Number Systems 7. More on the Real Number System 8. A Glimpse of Topology 9. Elementary Number Theory 10. Zero-Knowledge Proofs and Cryptography
11. An Example of an Axiomatic Theory
by "Nielsen BookData"