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Purplemath

Purplemath
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Isopsephy Isopsephy (/ˈaɪsəpˌsɛfi/; ἴσος isos meaning "equal" and ψῆφος psephos meaning "pebble") is the Greek word for the practice of adding up the number values of the letters in a word to form a single number. The early Greeks used pebbles arranged in patterns to learn arithmetic and geometry. Isopsephy is related to Gematria, the same practice using the Hebrew alphabet, and the ancient number systems of many other peoples (for the Arabic alphabet version, see Abjad numerals). A Gematria of Latin-script languages was also popular in Europe from the Middle Ages to the Renaissance and indeed its legacy remains in numerology and Masonic symbolism today (see arithmancy).[1] History[edit] Until Arabic numerals were adopted and adapted from Indian numerals in the 8th and 9th century AD, and promoted in Europe by Fibonacci of Pisa with his 1202 book Liber Abaci, numerals were predominantly alphabetical. "Nero, Orestes, Alcmeon their mothers slew. A calculation new. Καισαρ, Νειλαιη Μουσα Λεωνιδεω.

Mangahigh If people do not believe that mathematics is simple, it is only If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is Scanning Electron Micrographs of Diatoms Title: John von Neumann Free Math Videos Online Book sources This page allows users to search for multiple sources for a book given the 10- or 13-digit ISBN number. Spaces and dashes in the ISBN number do not matter. In Wikipedia, numbers preceded by "ISBN" link directly to this page. This page links to catalogs of libraries, booksellers, and other book sources where you will be able to search for the book with ISBN. If you arrived at this page by clicking an ISBN number link in a Wikipedia page, then the links below (those labeled "find this book") search for the specific book using that ISBN number. For verifying citations in Wikipedia articles, and finding more info. Sofia University "St. The links under the language names displayed on the table below are driving to other book sources available on other linguistic editions of Wikipedia.

Fun Maths printable worksheets > geometry worksheets & problems Below are a number of worksheets covering Euclidian Geometry problems. Geometry is the study of shape, size, position and space. It is after the Greek mathematician Euclid who around 300BC made a list of objects and assumptions (called axioms) from which all results follow. High school math students can use these geometry problems for study purposes. Click on any heading to view the worksheet. A note about year levels Where appropriate each worksheet is given a year level that it is applicable to. Please note : This is a free service and these worksheets are supplied on 'as is' basis.

factoids > big numbers Numbers go on for ever, but our notation does not. If you want to write down the value of a very big number (way bigger even than a googolplex ), the mathematical notations for factorial or exponentiation, the fastest growing 'conventional' functions, eventually becomes unweildy; you get too many factorials or exponents to manipulate easily. Something more extensible is needed. The so-called "large primes " -- useful for cryptography -- are relatively small compared to the kind of numbers that soon arise in these notations. Knuth's up-arrow notation In 1976 Donald Knuth published his up-arrow notation for large numbers. m n = m + m + ... + m ( n terms) = m × n m ^ n = m m ... m ( n terms) = m n m ^1 = m m ^ n = m ( m ... m ( n -1 terms)) = m m ^( n -1) 2^2 = 2×2 = 4; 2^3 = 2×2^2 = 8; 2^4 = 2×2^3 = 16; etc... 3^2 = 3×3 = 9; 3^3 = 3×3^2 = 27; 3^4 = 3×3^3 = 81; etc... 4^2 = 4×4 = 16; 4^3 = 4×4^2 = 64; 4^4 = 4×4^3 = 256; etc... m ^^ n = m ^ m ^...^ m ( n terms) = m m ... m m ^^1 = m m ^^^1 = m etc... z z

Illuminations Coin Box Pre-K-2, 3-5 Learn how to count, collect, exchange, and make change for coins by manipulating coins using an array representation. Deep Sea Duel This strategy game requires you to select cards with a specified sum before your opponent (also available on iOS and Android). Dynamic Paper Pre-K-2, 3-5, 6-8, 9-12 Need a pentagonal pyramid that's six inches tall? Equivalent Fractions This applet allows you to create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line. Factorize Dividing Numbers into Two Factors and Building Arrays to Represent Each Factorization Fractal Tool This applet allows you to explore iteration and patterns in shapes and numbers with fractals. Fraction Models Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Geometric Solids This tool allows you to manipulate various geometric solids and investigate their properties.

factoids > googol / googolplex Words of wisdom are spoken by children at least as often as by scientists. The name 'googol' was invented by a child (Dr Kasner's nine-year-old nephew) who was asked to think up a name for a very big number, namely, 1 with a hundred zeros after it. He was very certain that this number was not infinite, and therefore equally certain that it had to have a name. Mathematics and the Imagination

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