marksmath.com marksmath.com

marksmath.com

Mark's Math

A collection of odd math bits. No matter how much math you learn there is always more to find. What is ( sqrt{-1} )? When is 2 not a prime number? What is (e {i pi} )? To keep your life interesting. I highly recommend GeoGebra. A free dynamic algebra and geometry program. Here are some quick examples. Of what it can do. The Pythagorean Tree button in the banner was created using GeoGebra. The earliest papers on the use of mathematics in cryptography .

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Mark Armbrust

70 S●●●● St.

Bo●●er , Colorado, 80305

United States

303●●●679
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Mark Armbrust

70 S●●●● St.

Bo●●er , Colorado, 80305

United States

303●●●679
ma●●●●●●●●●●●@pobox.com

View this contact

Mark Armbrust

70 S●●●● St.

Bo●●er , Colorado, 80305

United States

303●●●679
ma●●●●●●●●●●●@pobox.com

View this contact

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Mark's Math | marksmath.com Reviews
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A collection of odd math bits. No matter how much math you learn there is always more to find. What is ( sqrt{-1} )? When is 2 not a prime number? What is (e {i pi} )? To keep your life interesting. I highly recommend GeoGebra. A free dynamic algebra and geometry program. Here are some quick examples. Of what it can do. The Pythagorean Tree button in the banner was created using GeoGebra. The earliest papers on the use of mathematics in cryptography .
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2 mathematics in bloom
3 my first calculators
4 contents
5 go exploring
6 some problems
7 coupons
8 reviews
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Mark's Math | marksmath.com Reviews

https://marksmath.com

A collection of odd math bits. No matter how much math you learn there is always more to find. What is ( sqrt{-1} )? When is 2 not a prime number? What is (e {i pi} )? To keep your life interesting. I highly recommend GeoGebra. A free dynamic algebra and geometry program. Here are some quick examples. Of what it can do. The Pythagorean Tree button in the banner was created using GeoGebra. The earliest papers on the use of mathematics in cryptography .

INTERNAL PAGES

marksmath.com marksmath.com
1

Mark's Math -- Some Interesting Problems

http://www.marksmath.com/math/problems.html

These are problems that are supposed to make you think. Follow the links to be guided to the solutions. How many divisors of 33! Function give the product of the integers 1 through n. 1 · 2 · 3 ··· 31 · 32 · 33 = 8,683,317,618,811,886,495,518,194,401,280,000,000. Finding perfect square divisors of this 37 digit number seems like an impossible amount of work, but finding the number.

2

Mark's Math -- GeoGebra samples

http://www.marksmath.com/math/geogebra/intro.html

Is a really cool free application that lets you explore algebra and geometry. Here are some examples showing algebra and geometry. Applet showing the relationship between the coefficients of a quadratic equation and its graph. Click on the image to launch the applet. Applet showing the construction of a triangle's circumcircle. Click on the image to launch the applet. Applet showing a dynamic proof of the Pythagorean theorem. Click on the image to launch the applet.

3

Mark's Math -- Explorations in Math

http://www.marksmath.com/math/explore.html

Exploration is the act of searching or traveling a terrain for the purpose of discovery.". No matter how much math you learn there is always more to find. Mathematicians love to explore the wilderness establishing new frontiers. The process of discovery continues even today. The papers on this page are explorations I lead with gifted primary and middle school students. I hope you will enjoy these explorations too. Basic graphing, angle measure. Introduction to Complex Numbers. From Simple Math- Chaos.

4

Mark's First Calculators

http://www.marksmath.com/first-calc.html

I bought this abacus in San Francisco's China Town while on a family vacation during the summer before 4th grade. By the time we got home I knew how to use it to add, subtract, multiply and divide. This is a Chinese style abacus called a suanpan. The Japanese style, called a soroban. Only has 1 bead on the top and 4 on the bottom. Here are some links to good abacus sites:. Http:/ webhome.idirect.com/ totton/abacus/. Abacus: Mystery of the Bead. More than you wanted to know about abacus history.

5

Early Crypto Papers

http://www.marksmath.com/old-papers/crypto.html

Pdf, 7 pp, 228 K. Cryptography in an Algebraic Alphabet. Lester S. Hill, 1929. Pdf, 20 pp, 788 K. Concerning Certain Linear Transformation Apparatus of Cryptography. Lester S. Hill, 1931. Pdf, 10 pp, 235 K. Variable Matrix Substitution in Algebraic Cryptography. Jack Levine, 1958. Pdf, 4 pp, 199 K. Some Further Methods in Algebraic Cryptography. Jack Levine, 1958. Pdf, 8 pp, 280 K. Some Elementary Cryptanalysis of Algebraic Cryptography. Jack Levine, 1961. Pdf, 7 pp, 257 K. N = 2 of Algebraic Cryptography.

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