Mathematics

Remedial

Some Old Books (Arithmetic, Algebra & Geometry)

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REMEDIAL MATH

Level Pre-0 (Pre-school Review)

Level 0 (Kindergarten Review)

Level 1 (Primary School Review)

Level 2 (Middle School Review)

Level 3 (PreAlgebra Review)

Level 4 (Word Problem Review)

Level 5 (Practice Problems)

Level 6 (PSAT & SAT Review)

Khan Academy (SAT)

Algebra Cheat Sheet

Trigonometry Cheat Sheet

Calculus Cheat Sheet

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TOPICS

Arithmetic

1885 Ray’s Practical Arithmetic

1893 Dubb’s Arithmetical Problems

Common Core Math Standards

Topics

The Abacus and Numbers

Numbers & Consciousness

Going Beyond Counting

Infinity and Unknowable

Comments on Infinity

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Algebra

Elementary Algebra

1896 Elementary Algebra

Purple Math (Advance Algebra)

Paul’s Online Math Notes (Algebra, Trigonometry & Calculus)

Math Pages (Math & Physics)

Topics

Combinations and Permutations

Synthetic Division

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Geometry

1913 Wentworth Smith

Euclid’s ELEMENTS

Math Pages (Math & Physics)

Topics

Point and Unit

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Trigonometry

Trigonometry Index

Paul’s Online Math Notes (Algebra, Trigonometry & Calculus)

Topics

sin(a + b) = (cos a)(sin b) + (sin a)(cos b)

cos(a + b) = (cos a)(cos b) – (sin a)(sin b)

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Calculus

Paul’s Online Math Notes (Algebra, Trigonometry & Calculus)

HMC Online Tutorials (Pre-calculus, Calculus, Linear Algebra)

Math Pages (Math & Physics)

Topics

Volumes by Cylindrical Shells

Double Integrals – Changing Order of Integration

Triple Integrals, Changing the Order of Integration, Part 1 of 3

Triple Integrals, Changing the Order of Integration, Part 2 of 3

Triple Integrals, Changing the Order of Integration, Part 3 of 3

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Statistics

Statistics Online (Statistics Review)

Math Pages (Math & Physics)

Topics

Mean, Median, Mode and Range

Quartiles, Boxes, and Whiskers

Five-number summary

Interquartile ranges and outliers

Standard Deviation

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Mathematics

Math Homonyms

Math Imitating Life

The Algebra of Unknowable

Fundamentals, Consistency and Breakthroughs

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Other

A Musical Interpretation of Pi

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Comments

  • Chris Thompson  On August 7, 2017 at 6:39 AM

    I remembered and looked up this humorous quote by Hubbard:

    “Rate of change is this mathematics known as Calculus. Calculus, it’s a very interesting thing, is divided into two classes — there’s Differential Calculus and Integral Calculus. The Differential Calculus is in the first part of the textbook on Calculus, and Integral Calculus is in the second part of the textbook on Calculus. As you look through the book, you’ll find in the early part of the book on Calculus, “dx” over “dy”, a little “dx”, and a little “dy” — and one’s above the other on a line — predominates in the front part of the book, but as you get to the end of the book you find these “dx” and “dy”s preceded by a summation sign, or are equating to a summation sign, and the presence of this shows that we are in the field of Integral Calculus.

    Now I hope you understand this, because I’ve never been able to make head nor tail of it. It must be some sort of a Black Magic operation, started out by the Luce cult — some immoral people who are operating up in New York City, Rockefeller Plaza — been thoroughly condemned by the whole society. Anyway, their rate-of-change theory — I’ve never seen any use for that mathematics, by the way — I love that mathematics, because it — I asked an engineer, one time, who was in his 6th year of engineering, if he’d ever used Calculus, and he told me yeah, once, once I did, he said. When did you use it? And he said I used it once. Let me see, what did you use it on? Oh yeah. Something on the rate-of-change of steam particles in boilers. And then we went out and tested it and found the answer was wrong.

    Calculus — if you want to know — there is room there for a mathematics which is a good mathematics. And it would be the rate of co-change, or the rate of change when something else was changing, so that you could establish existing rates of change in relationship to each other, and for lack of that mathematics, nobody has been able to understand present time — you just can’t sum it up easily — or let us say, for lack of an understanding of what present time was, nobody could formulate that mathematics. So, actually there’s a big hole there that could be filled — a thing called calculus is trying to fill that hole, right now, and it can’t.
    – L. Ron Hubbard

    I guess the week he spent at college didn’t turn out like he planned. The things he counts for knowledge, I can’t understand.
    (paraphrased from “Reeling in the Years.”)

  • vinaire  On August 7, 2017 at 8:43 AM

    Hubbard minimized whatever he could not understand. He minimized Buddha’s concept of Nirvana too. Nirvana has to do with attaining a viewpoint that is universal in nature and which looks at everything objectively.

    Hubbard misunderstood it to mean that, in Nirvana, the universe absorbs self and makes it MEST. That misunderstanding got him finally. He died fighting his imagined entities.

  • Anonymous  On November 17, 2017 at 11:09 AM

    this is davis

    • vinaire  On November 18, 2017 at 11:50 AM

      Welcome Davis. It is nice to see you here!

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