Infinite Processes

I From Calculus to Analysis. - I. 1 What's Wrong with the Calculus?. - I. 2 Growth and Change in Mathematics. - II Number. - II. 1 Mathematics: Rational or Irrational?. - II. 2 Constructive and Non-constructive Methods in Mathematics. - II. 3 Common Measures Highest Common Factors and the Game of Euclid. - II. 4 Sides and Diagonals of Regular Polygons. - II. 5 Numbers and ArithmeticA Quick Review. - II. 6 Infinite Decimals (Part 1). - II. 7 Infinite Decimals (Part 2). - II. 8 Recurring Nines. - II. 9 Fractions and Recurring Decimals. - II. 10 The Fundamental Property of Real Numbers. - II. 11 The Arithmetic of Infinite Decimals. - II. 12 Reflections on Recurring Themes. - II. 13 Continued Fractions. - III Geometry. - III. 1 Numbers and Geometry. - III. 2 The Role of Geometrical Intuition. - III. 3 Comparing Areas. - III. 4 Comparing Volumes. - III. 5 Curves and Surfaces. - IV Functions. - IV. 1 What Is a Number?. - IV. 2 What Is a Function?. - IV. 3 What Is an Exponential Function?. Language: English