ABSTRACT

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of sol

chapter 1|12 pages

Sets and Proofs

chapter 2|8 pages

Number Systems

chapter 3|6 pages

Decimals

chapter 4|6 pages

Inequalities

chapter 5|4 pages

nth Roots and Rational Powers

chapter 6|12 pages

Complex Numbers

chapter 7|10 pages

Polynomial Equations

chapter 8|14 pages

Induction

chapter 9|10 pages

Euler’s Formula and Platonic Solids

chapter 10|8 pages

The Integers

chapter 11|8 pages

Prime Factorization

chapter 12|4 pages

More on Prime Numbers

chapter 13|10 pages

Congruence of Integers

chapter 14|10 pages

More on Congruence

chapter 15|6 pages

Secret Codes

chapter 16|12 pages

Counting and Choosing

chapter 17|8 pages

More on Sets

chapter 18|6 pages

Equivalence Relations

chapter 19|10 pages

Functions

chapter 20|14 pages

Permutations

chapter 21|10 pages

Infinity

chapter 22|8 pages

Introduction to Analysis: Bounds

chapter 23|10 pages

More Analysis: Limits

chapter 24|8 pages

Yet More Analysis: Continuity