Mathematics for the liberal arts (2013)
Part I. MATHEMATICS IN HISTORY
Chapter 1. THE ANCIENT ROOTS OF MATHEMATICS
1.2 Ancient Mesopotamia and Egypt
1.3 Early Greek Mathematics: The First Theorists
1.4 The Apex: Third Century Hellenistic Mathematics
Chapter 2. THE GROWTH OF MATHEMATICS TO 1600
2.4 European Mathematics Awakens
Chapter 3. MODERN MATHEMATICS
3.1 The 17th Century: Scientific Revolution
3.2 The 18th Century: Consolidation
3.3 The 19th Century: Expansion
3.4 The 20th and 21st Centuries: Explosion
Chapter 4. CALCULUS
4.2 Average and Instantaneous Velocity
4.6 The Product Rule and Quotient Rule
4.9 Applying Optimization Methods
4.10 Differential Notation and Estimates
4.11 Marginal Revenue, Cost, and Profit
4.13 Periodic Functions and Trigonometry
4.14 The Fundamental Theorem of Calculus
4.16 Signed Areas and Other Integrals
4.17 Application: Rocket Science
4.19 Exponential Growth and Doubling Times
Part II. TWO PILLARS OF MATHEMATICS
Chapter 5. NUMBER THEORY
5.7 Mersenne and Fermat Primes
5.8 The Fundamental Theorem of Arithmetic
5.10 Linear Diophantine Equations
5.12 An Introduction to Modular Arithmetic
5.14 Arithmetic with Congruences
5.15 Division with Congruences; Finite Fields