81. Math Education: Newsletter: Math Forum Internet News No. 2.23 (June 9) THE MATH FORUM INTERNET NEWS. Geometry Junkyard Women and Math brahmagupta'sFormula. brahmagupta'S FORMULA A Webmaster Correspondence. http://www.math.yorku.ca/Who/Faculty/Monette/MathEd/0012.html

Newsletter: Math Forum Internet News No. 2.23 (June 9) Sarah Seastone ( sarah@forum.swarthmore.edu Sat, 7 Jun 1997 12:26:15 -0400 (EDT) Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Next message: Sarah Seastone: "Newsletter: Math Forum Internet News No. 2.24 (June 16)" Previous message: Sarah Seastone: "Newsletter: MFIN 2.22, MathPro Unsolved Problems URL change" 9 June 1997 Vol.2, No.23 THE MATH FORUM INTERNET NEWS THE GEOMETRY JUNKYARD David Eppstein, Theory Group, ICS, UC Irvine http://www.ics.uci.edu/~eppstein/junkyard/ A collection of Usenet clippings, Web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other material related to discrete and computational geometry - some serious and much also entertaining. Eppstein sorts his "junk" into "piles" (topics) such as: - Circles and Spheres - Covering and Packing - Geometric Topology - Knot Theory - Lattice Theory and Geometry of Numbers - Origami - Polyhedra and Polytopes - Randomness and Geometric Probability - Symmetry and Group Theory - Width, Diameter, and Geometric Inequalities

82. Mathwords Page 12 brahmagupta's Formula The Indian Mathematician brahmagupta (598670) isoften claimed to be the greatest mathematician of the dark ages. http://www.pballew.net/arithm12.html

Math Words pg 12 Benford's Law If you looked in lots of reference books and found the areas of all the lakes on the Earth, about 30% of the numbers you would find would start with a 1. It doesn't even matter if some of the books gave area in square miles, others in hectares, and still others in square meters. This is one of the surprising results of Benfords Law . The same result would occur if you found the daily sales for all the Macdonald's franchises in the world, and again, it doesn't matter that some are in dollars and others in yen. The law is named for US Physicist Frank Benford who published a description of the effect in 1938. As you might have guessed, someone else did it earlier; a half century earlier. In 1881 a note to the American Journal of Mathematics by an American astronomer named Simon Newcomb described an unusual observation. He had noticed that the tables of logarithms that were in common use back then by astronomers, always had the pages of the lower numbers more dog-eared than the pages of the higher numbers. He suggested that natural observations tend to start with the number one more often than with an eight or nine. For some reason, the observation went without much comment. Years later Benford published data from an assortment of different areas, and the mathematical quirk of nature now bears his name. No reason was given for the unusual distribution until 1996, when Theodore Hill of the Georgia Institute of Technology published, what else, Hill's Theorem.

83. îÏ×ÁÑ áÓÔÒÏÌÏÇÉÞÅÓËÁÑ üÎÃÉËÌÏÐÅÄÉÑ brahmagupta. (brahmagupta) (598 ok. 660) - odin iz klassikov indiiskoi astrologiii astronomii. Rodom iz Uddzhainy v Srednei Indii, syn Dzhishnugupty. http://encyclopedia.astrologer.ru:8005/cgi-bin/guard/B/Brahmagupta.html

84. Vandemataram.com - Did-U-Know ? The ancient India astronomer brahmagupta is credited with having put forth the conceptof zero for the first time brahmagupta is said to have been born the http://www.vandemataram.com/html/diduknow/diduno-Oin.htm

Home Mail Chat News ... V-Store Channels Ancient Bharat Medieval Bharat Modern Bharat Hindu Science Tribals Festivals Om Dharma Gandhian Thoughts Costumes Ayurveda Hindu Contributions Rasoi Gayatri Mantra Bhagavad Gita Ramayana Mahabharat Vandemataram Services V-Greetings Speak Out Vande Stories Vande Poem Did- U- Know Discussion Hindu Astrology Bharat Ek Quiz Vande Relief Q. Did U Know that the Concept of Zero originated in Ancient India ? Ans. The concept of zero originated in Ancient India. This concept may seem to be a very ordinary one and a claim to its discovery may be viewed as queer. But if one gives a hard thought to this concept it would be seen that zero is not just a numeral. Apart from being a numeral, it is also a concept, and a fundamental one at that. It is fundamental because, terms to identify visible or perceptible objects do not require much ingenuity. But a concept and symbol that connotes nullity represents a qualitative advancement of the human capacity of abstraction. In absence of a concept of zero there could have been only positive numerals in computation, the inclusion of zero in mathematics opened up a new dimension of negative numerals and gave a cut off point and a standard in the measurability of qualities whose extremes are as yet unknown to human beings, such as temperature.

85. Untitled Document Translate this page negative o irrazionali. I matematici più importanti di questo periodosono ryabhata, brahmagupta e Bhãskara. La maggior parte http://www.itcgbassi.lodi.it/pubblicazioni/Matematica/indiana/india.htm.htm

Storia della matematica: indiana Egiziana Origini Ellenica Araba ... Occidentale ASPETTO GEOGRAFICO: L'India è una repubblica federale dell'Asia centro-meridionale, la sua capitale è Nuova Delhi. La posizione astronomica, la notevole estensione e la complessità dei rilievi comportano la varietà di vegetazione e di possibilità culturali. LA STORIA DELLA MATEMATICA IN INDIA: Lo sviluppo della matematica in India è compreso fra il 1200 e il 200 a.C. In questo periodo, l'India fu invasa inizialmente da popolazioni ariane e in seguito dai persiani, Alessandro Magno, poi seguì il regno della dinastia Maurya e raggiunse il massimo splendore con Asoka. La geometria degli Indiani era mutuata da quella Greca, mentre l'algebra è stata influenzata da Alessandria e Babilonia. Dall'albero genealogico delle cifre di Karl Menninger si può estrapolare: LA MOLTIPLICAZIONE FULMINEA: I documenti più antichi che testimoniano la conoscenza di un sistema di numerazione risalgono al III - II secolo a.C. e ci presentano in buon livello di conoscenze raggiunto un astronomia e in matematica. Si presume che gli indiani siano stati fra i primi popoli ad usare solo nove simboli per scrivere tutti i numeri e successivamente ad utilizzare il sistema posizionale e un simbolo per lo zero, che fu diffusa dagli arabi in oriente e poi in occidente. La conoscenza delle nove cifre fu diffusa in Italia nel 1200 d.C.

86. Assignment 6 of knowledge will eclipse the fame of others in assemblies of the people if he proposesalgebraic problems, and still more if he solves them. (brahmagupta). http://www.cate.org/sms99/alg299/ahmwk99/asgmt49.htm

As the sun eclipses the stars by its brilliancy, so the man of knowledge will eclipse the fame of others in assemblies of the people if he proposes algebraic problems, and still more if he solves them." (Brahmagupta) Brahmagupta (c. 598 A.D.): One of the greatest of Indian mathematicians, Brahmagupta was instrumental in the development of algebra for problem solving. Among other things, he wrote an amazing mathematical treatise in which he covered subjects such as square and cube roots, and fractions. He also enjoyed working with irrational numbers, such as the square root of 2, and calculated values of irrational numbers accurate to many decimal places. Brahmagupta's most important work was the Brahmasphutasiddhanta Correct astronomical system of Brahma , 628 A.D.) In medieval India, most mathematical works were written as chapters of astronomy books, and the mathematical concepts and techniques were applied to astronomical problems. This was true of the Brahmasphutasiddhanta ... and it was written completely in verse.

87. Tieteen Ja Ajattelun Historiaa - Keskiaika brahmagupta. brahmagupta n. 625 Intialainen matemaatikko, joka käytti ensimmäisenänollaa ja negatiivisia lukuja johdonmukaisesti. Hindujen työt ks. http://cc.oulu.fi/~rar/historia/C_400-1350.html

Tieteen ja ajattelun historiaa Reijo Rasinkangas Etusivu Keskiaika (n. 450 - 1350) Keskiajan ensimmäiset vuosisadat, n. 450 - 1000, muodostavat nk. pimeän keskiajan. Germaanien kansainvaellukset (n. 400-600) ajoivat läntisen Euroopan sekasortoon, joka vaikeutti kauppaa ja merkitsi taantumaa mm. luku- ja kirjoitustaitoisuudessa. Kreikankielen taito unohtui klassisen kulttuurin mukana. Vain Itä-Rooman alueella säilyi sekä järjestys että kreikan kieli (joka valittiin uudeksi hallintokieleksi), mutta sielläkin oltiin kiinnostuneempia kristillisen kirkon opetusten tutkimisesta kuin tieteistä tai filosofiasta. Kristinusko saavutti vähitellen valta-aseman myös Länsi-Euroopassa. 1000-luvulta alkaen elämä parani huomattavasti. Vesivoiman käyttö alkoi olla jo yleistä ja muutenkin keksittiin uusia mekaanisia laitteita; esim. mekaaninen kello on 1280-luvulta. Maatalouden tuottavuuden noustessa väkeä muutti kaupunkeihin ja käsityöläisten ammattikunnat järjestäytyivät. 1100-luvulla arabien säilyttämää antiikin kulttuuria alkoi virrata Eurooppaan, ja syntynyt skolastiikka loi sydänkeskiajalle oman renessanssikauden, jona aikana mm. yliopistot kehittyivät. Kaupan merkitys kasvoi, uusi kauppiasluokka syntyi ja ulkomaankauppa alkoi vakavassa mielessä. Syntyi myös suuria kauppakeskuksia ja kauppiassukuja esim. Firenzessä. (Suomeen vaikutti etenkin pohjoissaksalaisten kaupunkien yhteenliittymä Hansa, joka oli vaikutusvaltaisimmillaan kuitenkin vasta 1300- ja 1400-luvuilla.) Feodaalinen järjestelmä syrjäytyi.

88. TLCF Lesson Plan Students will investigate whether they can expand Hero’s Theorem and brahmagupta’sFormula to find the area of any convex pentagon/hexagon. http://www.amphi.com/~technology/standards/lessons/faulkner4.html

Brief Description Students will investigate whether they can expand Hero’s Theorem and Brahmagupta’s Formula to find the area of any convex pentagon/hexagon. They will present their findings in a professional document. Standards and Frameworks Technology Standards 6T-P2. Routinely and ethically use productivity tools, communication tools and research skills to solve a problem. Academic Standards 2M-P2. Use appropriate technology to display and analyze data. 3M-P6. Perform mathematical operations on expressions, and solve equations. 4M-P2. Represent problem situations with geometric models and apply properties of figures. Objectives Academic At the end of the investigation the students will: Know how to use Hero’s Theorem and Brahmagupta’s Formula to find the areas of triangles and quadrilaterals Extend the above theorem to pentagons and hexagons. Compare the areas of pentagons/hexagons using the original formulas to the areas of the same pentagon/hexagon using the extended formulas. Decide if the extended formulas work, explaining why or why not. Technological Use the Internet to find Hero’s Theorem and Brahmagupta’s Formula.

89. Projets Translate this page 1- Al-Khawarizmi Par Ahlem Baccouche et Imène Khamou. 2- brahmagupta Par VinujaVivekanandan et Niransala Yoganathan. 3- Hua To Par Elissa Yan et Noël Kato. http://mendeleiev.cyberscol.qc.ca/scienceanimee/science_mvt/Savants_anciens/proj

Savants anciens en mouvement Winzip (pour les utilisateurs de PC) ou le logiciel StuffIt PowerPoint 97 et 2000 (PC) ou celle pour PowerPoint 98 (Mac) . Elles vous permettront de visualiser les animations. Veuillez noter que ces animations sont protégées par des droits d'auteurs et ne peuvent être utilisées que dans un but pédagogique. Toute autre utilisation ou modification du contenu est interdite sans l'accord écrit du responsable du site "Science Animée" Note 1- Al-Khawarizmi Par Ahlem Baccouche et 2- Brahmagupta Par Vinuja Vivekanandan et Niransala Yoganathan 3- Hua To Par Elissa Yan et 4- Ibn el Haytham Par Reem Youcef et Rouba Youcef 5- Ibn Sina Par Pembe Tutuncu et Zoya Fedossiouk Documents animés (PowerPoint 2000) Fichiers auto-décompressables (.exe)

90. Brahmagupta brahmagupta. brahmagupta was head of the astronomical observatory at Ujjainwhich was the foremost mathematical centre of ancient India. http://www.math.hcmuns.edu.vn/~algebra/history/history/Mathematicians/Brahmagupt

91. Viden Om - Tallenes Historie brahmagupta. The MacTutor History of Mathematics archive. Tallet nul I ca. 628 varder en inder ved navn brahmagupta, der begyndte at bruge et tal der hed nul. http://www.dr.dk/videnom/89tal/

sitemap Know All About.. prof. Vagn Lundsgaard Hansen fra DTU i vores debatforum Han har lige udgivet bogen " Matematikkens Uendelige Univers ", der giver et indblik i matematikkens seneste landvindinger, så også ikke-matematikere har en chance for at forstå det. Bogen kan bestilles her Viden Om Orbitalen Harddisken Leksikon Humboldt-pris til dansk matematiker Brahmagupta The MacTutor History of Mathematics archive Tallenes historie Sendetider: Tirsdag d. 26/2 kl. 20.30 Torsdag (G) d. 28/2 kl. 23.30 Fredag (G) d. 1/3 kl. 13.05 Onsdag (G) d. 6/3 kl. 23.40 Tallene Se klip fra programmet Tallinjen Se klip fra programmet Tallet nul I ca. 628 var der en inder ved navn Brahmagupta, der begyndte at bruge et tal der hed nul. På samme måde som de andre tal. Så nu kunne man sige: "jeg har nul køer". Det betyder jo at man ingen køer har.. Se klip fra programmet Opfattelsen af nullet Se klip fra programmet Lundsgaard om Kontinuums hypotesen Se klip fra programmet

92. Eric Weisstein's World Of Mathematics site last updated Fri Mar 14 090916 2003 CST 11 165 entries (more than one myriad), 100 814 crossreferences, 5 264 figures, 226 animated graphics, 1 000 live Java applets, and counting download policy and terms of use FAQs MARCH 18 http://www.astro.virginia.edu/~eww6n/math/math.html

A free service for the mathematical community provided by Wolfram Research, makers of Mathematica , with additional support from the National Science Foundation site last updated : Fri Mar 28 09:05:56 2003 CST 11,217 entries (more than one myriad ), 101,428 cross-references, 5,304 figures, 232 animated graphics live Java applets , and counting... FAQs MARCH 29, 2003 Say Hello to MathWorld Creator Eric Weisstein at this Year's Joint Mathematics Meeting Attending the Joint Math Meeting this year? If so, come say hello and share your comments with the author of MathWorld Mathematica Information Center Launched Wolfram Research unveils a new electronic resource for math, science, engineering, and education. New Kind of Science Lecture Tour Stephen Wolfram speaks to audiences nationwide about the new ideas and discoveries in his book. 2002 Fields Medalists Announced Laurent Lafforgue and Vladimir Voevodsky were awarded the 2002 Fields Medals ("Nobel Prizes of Mathematics"). Primality Testing Is Easy A new algorithm checks primality in polynomial time.

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