Freeing the Mind - Contents

Spiritual


How to escape from Flatland!


Feeling Good Articles


Theory of Personal Development


Irrational Science


Vignettes - 30+ articles to help you feel better and control life more effectively


Dimensional Viewpoints


Philosophy

Metaphysics - What is Really Real!

The theory of knowledge


Notes on Alfred Korzybski's General Semantics


How to be good at sales


Astrology

Astronomical Astrology


Neuro-Linguistic Programming articles to enable you to master your mind!


Computer Stuff

Learn about HTML

Learn about JavaScript

Learn about Cascading Style Sheets


Mathematics

  1. Arithmetic Algebra
    1. Square Roots
    2. Cube Roots
    3. Method of Detached Coefficients
    4. Method of Indeterminate Coefficients
  2. Geometry
    1. Four-sided
    2. Prism (Volumes)
    3. Pyramids
    4. Proportions, Areas and Similar Patterns
    5. Number Theory
  3. Indeterminate Equations
  4. Euclid's Algorithm
  5. Euclid's Extended Algorithm
  6. Computing gcd and ax+by=d at the same time
  7. Decimal to Fraction Conversion Using Euclid
  8. Continued Fractions
  9. Continued Fractions Using An Algorithm
  10. Modular Arithmetic
  11. Linear Congruence Equations
  12. Chinese Remainder Theorem and the Chinese Problem
  13. Chinese Problem Formula 1
  14. Chinese Remainder Theorem due to Gauss
  15. Number Base Systems
  16. Fermat's Factorisation Method
  17. Fermat's Method Odd and Even a's and b's
  18. Fermat's Method: Sieve
  19. Divisibility Tests Method 1 (All Numbers)
  20. Divisibility: Method 2
  21. Table of Rules for Divisibility using Method 2
  22.  Divisibility Trial Division
  23. Polynomials
  24. Roots
  25. Square Roots
  26. Complex Numbers
  27. Rational Root TheoreIdentim
  28. Descartes' Rule of Signs
  29. Vieta's Root Theorem
  30. Horner's Method
  31. Odd and Even Roots
  32. Solving Cubic Equations - Various Methods
  33. Cubic Equation Solution Cardan's Method
  34. Cardano Method Examples
  35. Identical Polynomials (Polynomial Argument)
  36. Series
  37. Arithmetic and Geometric Series
  38. Sums of the Natural Numbers (Various Methods)
  39. Sums of the Squares of the Natural Numbers
  40. Sum of the Powers of the Natural Numbers (General)
  41. Sums of the Powers of Natural Numbers and Bernoulli Numbers
  42. Bernoulli Numbers (Generating)
  43. Pascal's Triangle
  44. Binomial Theorem
  45. Binomial 3
  46. Pascal's Extended Triangle
  47. Binomial Theorem Proof for Nonnegative Powers by Induction
  48. Summing Binomial Coefficients
  49. Binomial Proof Negative Integers
  50. Binomial Theorem Proof Using Algebra
  51. Multinomial Expansion
  52. Multinomial Theorem
  53. Polynomial Equations
  54. Difference Equations Using Algebra
  55. Factorial Polynomials and Differences
  56. Converting Polynomials to Factorials
  57. Stirling Numbers of the Second Kind and Factorial Polynomials
  58. Trigonometry
  59. Basic Formulae
  60. Compound and DoubleAngles
  61. Pythagoras Theorem
  62. Half Angle Formulae
  63. Heron's Formula
  64. Sum and Product of Sine and Cosine
  65. Multiple Angles: De Moivre's Theorem
  66. Sine, Cosine and Tangent of Multiple Angles (Chebyshev's Method)
  67. Cosine Multiple Angle Formulae
  68. Sine Multiple Angle Formulae
  69. Tangent Multiple Angle Formulae
  70. DeMoirve's Theorem Extended Cosine
  71. DeMoirve's Theorem Extended Sine
  72. Various
  73. Gregory Series
  74. Machin Formula

Clear Writing

  1. Plain English
  2. Parts of Speech
    1. Introduction
    2. Nouns
    3. Pronouns
    4. Subjects, Objects and Predicates
    5. Verbs
    6. Adjectives
    7. Adverbs
    8. Conjunctions
    9. Prepositions
    10. Pro-forms
    11. The Substitution Test


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