ABSTRACT

For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds

chapter 1|28 pages

Basic Logic

chapter 2|28 pages

Methods of Proof

chapter 3|16 pages

Set Theory

chapter 4|36 pages

Relations and Functions

chapter 5|18 pages

Axioms of Set Theory, Paradoxes, and Rigor

chapter 6|48 pages

Number Systems

chapter 7|14 pages

More on the Real Number System

chapter 8|26 pages

A Glimpse of Topology

chapter 9|22 pages

Theoretical Computer Science

chapter 10|10 pages

The P/NP Problem

chapter 11|28 pages

Examples of Axiomatic Theories

chapter 12|18 pages

Zero-Knowledge Proofs