The Math Book (years 0 -1400)
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Ptolemy's Almagest | 150. Ptolemy a mathematician and astronomer. Wrote Almagest with everything known about space. Trig table for sine values from 0 to 90, also law of sines, compound angle and half-angle identities
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| Diophantus's Arithmetica | 250. Greek mathematician the father of algebra. Treatment of fractions as numbers, like integer solutions to equations.
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| Pappus's Hexagon Theorem | 340. Farmer planting 9 trees in 10 rows. Put 3 in a row, 3 in a row, draw lines, hexagon reveals 3rd line. Then adjust. Important because a theorem was established free from measurements. First projective geometry.
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| Bakhshali Manuscript | 350. Found in India in a stone enclosure in 1881. Had techniques for arithmetic, algebra, geometry, square roots, and also zero, negatives, and unknowns. First Indian mathematics without religion.
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| Death of Hypatia | 415. Female Greek mathematician, Christians seized her, scraped her skin off, and cut her to pieces. Marked end of Greek progress in mathematics.
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| Zero | 650. Ancient Babylonians had no symbol...used a space (confusing). India...it was common...and spread to Arabs, Europeans and the Chinese. Mayans also but didn't spread from there.
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| Alcuin's Propositiones ad Acuendos Juvenes | 800. Alcuinus a scholar from England. His book contributed to the learning of the "Number Pope" in France who redid the floor of a cathedral as an abacus and adopted Arabic numbers in place of Roman Numerals. The book has puzzles including river crossings
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| Al-Khwarizmi's Algebra | 830. Father of Algebra. From Persia/Baghdad. Al-jabr an operation to add the same quantity to both sides of an equation, book intended to be practical with linear & quadratic equations
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| Borrowmean Rings | 834- Three interlocking rings (Italian family name crest). Cut one and they all fall apart. (Cannot really make)
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| Ganita Sara Samgraha | 850. Indian book. Problem about a girl with lots of pearls on necklace. Square root of a negative doesn't exist, ellipses, etc.
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| Thabit Formula for Amicable Numbers | 850. Arab. Formula for amicable numbers. Amicable numbers are two numbers whose proper factors sum to the other number. (220 & 284)
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| Chapters in Indian Mathematics | 953. Book written by Arab Al-Uqlidisi. Translated Euclid's works. Used decimals for first time, legacy is paper-and-pen math (instead of sand)
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| Omar Khayyan's Treatise | 1070. Persian known for poetry. Also derived methods for solving cubic equations with geometric solutions by means of intersecting conic sections. Also found how to obtain (a+b)^n like Pascal's Triangle
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| Al-Samawal's The Dazzling | 1150. Jewish man in Baghdad later converted to Islam. Arithmetization of algebra, x to the power of zero = 1 and found a formula for the sum of squares.
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| Abacus | 1200. Used in ancient times. Modern abacus with beads on wires in China. Predecessor to computer. Experienced users can quicky multiply, divide and find square roots.
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| Fibonacci's Liber Abaci | 1202. Italian. Book introduced Hindu-Arabic numerals to Western Europe. And then of course the Fibonacci Sequence.
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| Wheat on a Chessboard | 1256. Arab scholar Ibn Khallikan first author to discuss this story which is important because it illustrates geometric growth.
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| Harmonic Series Diverges | 1350. A divergent series approaches infinity (1+2+3...). The harmonic series 1 + 1/2 + 1/3 + 1/4 also approaches infinity but much more slowly.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
kzmom314
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