The elements of advanced mathematics

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Author(s): Krantz, Steven George
Series: Textbooks in mathematics (Boca Raton Fla.)
Edition: Fourth edition
Publisher: CRC Press
Year: 2018

Language: English
Pages: 390
Tags: Mathematics.;Mathematics -- Textbooks.;Logic, Symbolic and mathematical -- Textbooks.;Logic, Symbolic and mathematical.

Content: Basic logic --
Methods of proof --
Set theory --
Relations and functions --
Axioms of set theory, paradoxes, and rigor --
Number systems --
More on the real number system --
A glimpse of topology --
Elementary number theory --
Zero-knowledge proofs and cryptography --
Examples of axiomatic theories.