概要
Calculus - Historical Perspectives
Calculus
目次
Module 1: Introduction to History of Calculus
Module 2a: Square Roots
Module 2b: Sequences
Module 3a: Some Useful Inequalities
Module 3b: The Number e and pi
Module 4a: Parabola
Module 4b: Volume and Surface Area of Sphere
Module 5a: History of Trigonometry
Module 5b: Continued Fraction-Babylon
Module 6a: Philo Line and the Astroid
Module 6b: Apollonius' Problem on Conics
Module 7a: The Spiral and Other Ancient Curves
Module 7b: Early Calculations of the Area Under the Graph y=x^k
Module 8a: Area Under the Graph of the Sine Function
Module 8b: Logarithms and Exponential Functions
Module 9a: Volume and Surface Area
Module 9b: The Art of Integration 1
Module 10a: The Art of Integration 2
Module 10b: Infinite Series
Module 11a. Functions Defined by Power Series
Module 11b: Uniform Convergence
Module 12a: Infinite Products
Module 12b: The Euler Constant and Bernoulli Number
Module 13a: Expansion of the Tangent and Secant Function
Module 13b: Euler's Solution of the Basel Problem