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Logical weakness in modern pure mathematics | Real numbers and limits Math Foundations 87
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Real Numbers and Limits
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- 1 Inconvenient truths about sqrt(2) | Real numbers and limits Math Foundations 80 | N J Wildberger
- 2 Measurement, approximation and interval arithmetic (I) | Real numbers and limits Math Foundations 81
- 3 Measurement, approximation + interval arithmetic (II) | Real numbers and limits Math Foundations 82
- 4 Newton's method for finding zeroes | Real numbers and limits Math Foundations 83 | N J Wildberger
- 5 Newton's method for approximating cube roots | Real numbers and limits Math Foundations 84
- 6 Solving quadratics and cubics approximately | Real numbers and limits Math Foundations 85
- 7 Newton's method and algebraic curves | Real numbers and limits Math Foundations 86 | N J Wildberger
- 8 Logical weakness in modern pure mathematics | Real numbers and limits Math Foundations 87
- 9 The decline of rigour in modern mathematics | Real numbers and limits Math Foundations 88
- 10 Fractions and repeating decimals | Real numbers and limits Math Foundations 89 | N J Wildberger
- 11 Fractions and p-adic numbers | Real numbers and limits Math Foundations 90 | N J Wildberger
- 12 Difficulties with real numbers as infinite decimals ( I) | Real numbers + limits Math Foundations 91
- 13 Difficulties with real numbers as infinite decimals (II) | Real numbers + limits Math Foundations 92
- 14 The magic and mystery of "pi" | Real numbers and limits Math Foundations 93 | N J Wildberger
- 15 Problems with limits and Cauchy sequences | Real numbers and limits Math Foundations 94
- 16 The deep structure of the rational numbers | Real numbers and limits Math Foundations 95
- 17 Fractions and the Stern-Brocot tree | Real numbers and limits Math Foundations 96 | N J Wildberger
- 18 The Stern-Brocot tree, matrices and wedges | Real numbers and limits Math Foundations 97
- 19 What exactly is a sequence? | Real numbers and limits Math Foundations 98 | N J Wildberger
- 20 "Infinite sequences": what are they? | Real numbers and limits Math Foundations 99 | N J Wildberger
- 21 Slouching towards infinity: building up on-sequences | Real numbers and limits Math Foundations 100
- 22 Challenges with higher on-sequences | Real numbers and limits Math Foundations 101 | N J Wildberger
- 23 Limits and rational poly on-sequences | Real numbers + limits Math Foundations 102 | N J Wildberger
- 24 Extending arithmetic to infinity! | Real numbers and limits Math Foundations 103 | N J Wildberger
- 25 Rational number arithmetic with infinity and more | Real numbers and limits Math Foundations 104
- 26 The extended rational numbers in practice | Real numbers and limits Math Foundations 105
- 27 What exactly is a limit?? | Real numbers and limits Math Foundations 106 | N J Wildberger
- 28 Inequalities and more limits | Real numbers and limits Math Foundations 107 | N J Wildberger