Real Numbers and Limits

Real Numbers and Limits

Insights into Mathematics via YouTube Direct link

Logical weakness in modern pure mathematics | Real numbers and limits Math Foundations 87

8 of 28

8 of 28

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

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