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Greek Mathematicians:     more books (29)

Archimedes: Ancient Greek Mathematician (Great Names) by Susan Keating, 2002-10 The Mathematicians by Arthur Feldman, 2010-09-16 Euclid: The Great Geometer (The Library of Greek Philosophers) by Chris Hayhurst, 2006-02-03 Ancient Greek Scientists: Ancient Greek Astronomers, Ancient Greek Engineers, Ancient Greek Grammarians, Ancient Greek Mathematicians Greek Mathematics: Archimedes Palimpsest, Greek Numerals, Timetable of Greek Mathematicians, Attic Numerals, Euclid's Orchard Euclidca. 295 b.c. Greek mathematician and philosopher: An entry from Charles Scribner's Sons' <i>Renaissance: An Encyclopedia for Students</i> Ancient Greek Mathematicians: Aristotle, Archimedes, Euclid, Pythagoras, Hipparchus, Democritus, Ptolemy, Thales, Eratosthenes Greek Mathematicians: Constantin Carathéodory, Nicholas Metropolis, Leonidas Alaoglu, Themistocles M. Rassias, Francesco Maurolico The Mathematicians by Arthur Feldman, 2010-10-03 Eratosthenes: Greek language, Mathematician, Poetry, Sportsperson, Geographer, Astronomer, Latitude, Longitude, History of geodesy, Astronomical unit, February 29, Early world maps Ten British Mathematicians of the 19th Century by ALEXANDER MACFARLANE, 2009-04-22 The Arabic Corpus of Greek Astronomers and mathematicians (Biblioteca di "quadrivium".Serie scientifica) by Francis J Carmody, 1958 Pythagoras: Pioneering Mathematician And Musical Theorist of Ancient Greece (The Library of Greek Philosophers) by Dimitra Karamanides, 2006-02-03 Diocles: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001

lists with details

61. On Wisconsin
    Described as the father of algebra. Influenced alKhwarizmi in his work. 320 ADPappus of Alexandria (Greek) Summarizes knowledge of greek mathematicians.  
    http://www.uwalumni.com/onwisconsin/summer02/laska.html
    
    Extractions: Letters On Wisconsin Magazine welcomes letters from our readers. The editors reserve the right to edit letters for length or clarity. Please mail comments to On Wisconsin, 650 North Lake Street, Madison WI 53706; fax them to (608) 265-8771; or e-mail them to WAA@uwalumni.com In the article titled "A Muslim's Jihad" in the Winter 2001 edition of On Wisconsin , some statements are made which are not entirely correct. In particular, on page 37, it states that in the last part of the first millennium and the first part of the second, "Islam produced the world's leading scientists, mathematicians, architects, and artists." It may be considered only a minor discrepancy, but this implies that all the leading scientists, etc., were produced by Islam. The words "many of" should be inserted between "produced" and "the" to make the statement true. Another statement is completely inaccurate. Muslims did not

62. Harmony
    Harmony and Dissonance Many of the greek mathematicians also used Harmonyand Dissonance in their studies of mathematics. One Greek  
    http://www.springfield.k12.il.us/schools/southeast/pprojects/harmony.html
    
    Extractions: Harmony and Dissonance Many of the Greek mathematicians also used Harmony and Dissonance in their studies of mathematics. One Greek mathematician, Pythagoras, noticed that vibrating strings produced harmonious tones when the ratios of the lengths of the strings were whole numbers. Pythagoras aslo noticed that these ratios could be extended to other instruments, which allowed him to make remarkable contributions to the mathematical elements of music. Euclid, a Greek mathematician who specialized in Geometry, also conmtributed to the properties of harmony and dissonance. He found that if you take two strings in the same degree of tension, and then divide one of them exactly in half, when they are plucked, the pitch of the shorter string is exactly one octave higher than the longer. He also discovered that if the length of the two strings are in relation to each other 2:3, the difference in pitch is called a fifth. Also if the length of the strings are in relation to each other 3:4, then the difference is called a fourth. Thus the musical notation of the Greeks, which we have inherited can be expressed mathematically as 1:2:3:4 Musical harmonies are numerical ratios. A string or flute shortened to half of its original length produces a tone which is one octave higher. Ratios of 3 : 2 give a fifth and 4 : 3 give a fourth. The ratio of 3 : 4 : 5 gives the sides of a right-angled triangle, which established a connection of numbers to angles. Mathematicians classified numbers into categories of odd, even, prime, composite, perfect and amicable numbers. They used stones or pebbles in groups to form different patterns, which they classified as figurate, triangular, or square numbers.

63. Science Maths Computing
    Hall of Great Mathematicians. A Chronology of Mathematicians. Ancient greek mathematicians.The MacTutor History of Mathematics archive. Famous Scientists,  
    http://www.smc.qld.edu.au/scimathcomp.htm
    
    Extractions: science, mathematics and computing gENERAL sITES oTHER sITES ON THE COLLEGE WEBSITE NUMBER SYSTEMS FAMOUS MATHEMATICIANS ... PATTERNS GENERAL SITES Search Engines Encyclopedia.com The Homework Spot MEGA Math Other sites on our college website Science Links Math Links Number Systems Number Systems Numeric Systems Babylonian and Egyptian mathematics Sumerian and Babylonian Numerals ... Mayan Mathematics Famous Mathematicians Biographies of Women Mathematicians Mathematicians of the Seventeenth and Eighteenth Centuries Mathematicians' anniversaries throughout the year African Mathematicians ... Famous Scientists 4000 Years of Women in Science Biography Listing Ancient Greek Scientists Academy of Achievement Albert Einstein Online ... Treasure Trove of Famous Scientists Computer Science The History of Computing - A slide show lecture Computer Museum - slide show The future of computing Charles Babbage ... Glossary of PC and Internet Terminology TERM ONE ASSIGNMENT - PATTERNS http://www.uen.org/themepark/html/patterns/naturepatterns.html

64. Scottish Thought And Letters In The Eighteenth Century
    Halley. It was the latter's influence that tended to confirm Simson'sinterest in the writings of the greek mathematicians. In 1712  
    http://special.lib.gla.ac.uk/exhibns/scottish/sci-med.html
    
    Extractions: After graduating at Glasgow University in 1711, Robert Simson spent a year in London where he met several eminent mathematicians, amongst them Edward Halley. It was the latter's influence that tended to confirm Simson's interest in the writings of the Greek mathematicians. In 1712 Simson returned to Glasgow as Professor of Mathematics. The rest of his life was spent in teaching and in research on the early Greek mathematicians - he published important works on Euclid, Pappus of Alexandria and Apollonius of Perga. This correspondence between Simson and Matthew Stewart (Professor of Mathematics at Edinburgh) was published in The proceedings of the Edinburgh Mathematical Society , vol. XXI, session 1902-1903.

65. Greek Mathematics
    greek mathematicians. The ancient Greeks were very interested in scientificthought. They were not satisfied with just knowing the  
    http://atschool.eduweb.co.uk/sirrobhitch.suffolk/Portland State University Greek
    
    Extractions: The ancient Greeks were very interested in scientific thought. They were not satisfied with just knowing the facts; they wanted to know the why and how. It should be no surprise that the Greeks were extremely successful in the area of mathematics. The mathematics we use today, and its content, are for the most part Greek. The Greeks laid down the first principles, and invented methods for solving problems. Though most people don't realize it, mathematics is a Greek science - regardless of what modern day analysis might bring. When people look back on Greek genius, they may naturally call to mind masterpieces in Greek literature and art . But the Greeks, with their insatiable desire to know the true meaning of everything and give a rational explanation of it, were irresistibly drawn to the sciences, exact reasoning in general, and logic. There are many famous Greek names in mathematics. One of which is Aristotle , who said he could conceive of nothing more beautiful than the objects of mathematics. Plato , delighted in geometry and the wonders of numbers, inscribed, "let no one destitute of geometry enter my doors" over the entrance to his academy.

66. T-shirts - The Natural Philosopher
    Certainly the greek mathematicians Eudoxus and Archimedes were very close. Theancient greek mathematicians represented numbers as patterns of dots.  
    http://www.naturalphilosopher.com/Products/T-shirts.htm
    
    Extractions: Let American Consumer Counseling Help you Get Out of Debt! T-Shirts Home A Philosophical Edutainer? Upcoming Appearances ... A Bit About Me This page is under construction!!! T-shirt images to be posted soon, but there's interesting reading here in the meantime. As I intend these t-shirts to be conversation pieces, I've included a discussion of each image. This way when someone asks you, "What's that t-shirt supposed to mean?" you can answer them and perhaps make a new and valued friend in the process. Archimedes' Last Stand Descartes' Delirium Pythagoras' Epiphany This image was inspired by Zeno's famous paradox... The Greek philosopher, Zeno of Elea (6th century BC), suggested that a race be arranged between Achilles (the world's swiftest runner) and a tortoise. The tortoise was to get a substantial headstart. Zeno reasoned that after a short time Achilles would close the lead to ½ its original length. Then shortly afterward, he would close that distance by a ½ to ¼ its original length. Zeno said then that Achilles would have to continue this process forever, always closing the remaining gap by ½ but never catching the tortoise. With his paradoxes, Zeno challenged the prevailing concepts of space, time, motion, extension, the continuum and the infinite. It's been speculated that the Greeks would have invented the calculus many centuries before Newton and Leibnitz had it not been for Zeno's mind bending paradoxes. Certainly the Greek mathematicians Eudoxus and Archimedes were very close.

67. UCLA Distinguished Lecturers
    give a brief and listenerfriendly sketch of some popular topics in Mesopotamianmathematics that were taken up and further developed by greek mathematicians.  
    http://www.math.ucla.edu/dls/2001/friberg.html
    
    Extractions: 4:00 p.m. "On the Babylonian Roots of Classical Greek Mathematics" Abstract: It is a generally held belief that classical Greek mathematics arose miraculously out of humble beginnings around 500 BC, invented by a handful of pioneering mathematicians, of which perhaps Pythagoras is the most well known. Recent studies have shown that this view of the origin of mathematics is not correct. Instead, classical Greek mathematics was a more or less direct continuation of the work of many anonymous Mesopotamian mathematicians during the preceding two millennia (Late Babylonian, Old Babylonian, Old Akkadian, Sumerian, and even Proto-Sumerian). This lecture will give a brief and listener-friendly sketch of some popular topics in Mesopotamian mathematics that were taken up and further developed by Greek mathematicians. The lecture begins with a discussion of the incorrectly attributed ^Theorem of Pythagoras^ and its various kinds of known Babylonian predecessors. Other topics mentioned include the Babylonian geometric method of solving quadratic equations, imperfectly copied in Book II of Euclid's Elements, as well as a Babylonian predecessor of Hippocrates' famous squaring of the lune, and various types of Babylonian geometrical constructions related to number theory, perpetuated by Euclid in a book about Division of figures.

68. History Of Greek Mathematics: From Thales To Euclid
    Academically great This is not a terribly exciting book to read, butit is a superior reference for looking up greek mathematicians.  
    http://www.wkonline.com/a/History_of_Greek_Mathematics_From_Thales_to_Euclid_048
    
    Extractions: It should be noted that this is one of a two volume set. This author also compiled and commented upon The Elements of Euclid in three volumes [also available here]. These works were first brought to my attention by my Greek language professor nearly 40 years ago as the best English language source on Greek Mathematics. Just as the Greeks did not view pure mathematics or geometry as a lifes-work so to younger readers [through collage] the methods of logic may prove most useful.

69. CSU Maths Fun Page : Links
    themselves Ancient Mathematics Introduce your students to the greek mathematicians(and others) at the US Library of Congress Vatican Exhibit MacTutor History  
    http://golum.riv.csu.edu.au/~sbuckley/maths/funpage/funlinks1.htm
    
    Extractions: History of Mathematics Make maths live by introducing your students to the creative men and women who built modern mathematics. This archive contains an overview of the History of Mathematics including the biographies of more than 1000 mathematicians. About 200 of these biographies are fairly detailed and most are accompanied by pictures of the mathematicians themselves

70. Alphabet
    theorem Fundamental theorem of algebra General relativity Golden ratio Greek AstronomyGreek number systems greek mathematicians sources Greek mathematics  
    http://www.chaffey.cc.ca.us/MathWeb/html/alpha.html

71. Eden Prairie High School:MathandMusic.html
    Although Pythagoras is noted as the founder of this idea, many greek mathematicians(including Claudius Ptolemy) believed in the universe as being bound  
    http://www.edenpr.k12.mn.us/ephs/ArcadiaWeb/Math/mathandmusic.html
    
    Extractions: "...they saw there at the middle of the light the extremities of its fastening stretched from heaven; ... from the extremities was stretched the spindle of [the goddess] Necessity, ...And the spindle turned on the knees of Necessity, and up above on each of the rims of the circles a Siren stood, borne around in its revolution and uttering one sound, one note, and from all the eight there was the concord of a single harmony." (Plato 501-505) This is the first reference to any kind of celestial music where the paths of the heavenly bodies are described as correlating to a specific musical tone. Mathematics are applied directly to the use of time signatures in music. You might recognize the fraction above as a time signature as it might appear on sheet music. The numerator represents how many beats will be in each measure of music; the denominator tells which note will be indicitive of the beat (by placing a one above the bottom number, you will get the fraction that represents what note it is). In this case, there are four beats per measure and the quarter note gets the beat. By using this symbol, the time signature is kept mathematically precise in order to keep the music moving. Other ways of keeping the rythm precise are by using a metronome, a device that taps out the beat of the music while a song is playing.

72. Introductory Essay
    It seems that greek mathematicians had a set of theorems and techniques,repeatedly used for their investigations. This set may  
    http://wwwhs.cias.osakafu-u.ac.jp/~ksaito/Pidx_0.html
    
    Extractions: Bibliography and Acknowledgements. Not all the propositions proved in the Elements are of equal importance. Some propositions are "local," in the sense that they are never used again after the book in which they appear though they could be useful in further arguments, while there are other propositions which, though not very impressive to us, are repeatedly used also by other authors. It seems that Greek mathematicians had a set of theorems and techniques, repeatedly used for their investigations. This set may have been considerably different from the set of propositions that seem important to us. Let us call this set the "tool box" of Greek mathematicians. This article reports a tentative research of restoring this "tool box." For this purpose, every proposition of Book 7 of Pappus'

73. Ralph's Manual Of Style - Punctuation
    s greatest mathematician, Hestrodostrophes, in the third century bc, during the agethat historians call the Golden Age of greek mathematicians; it was invented  
    http://www.geocities.com/ralphstyle/s-pun.html
    
    Extractions: The Period Milke Tomahartman best describes this most terminal of punctuation marks in her epic poem Ode to a Dot with her unforgettable stanza: ’Tis not the fact that nothing hereto will continue That makes this mark so true, More pressing is the sum That nothing more thereto will come. Though more known, and rightly so, for her grammar than her prowess with words and sounds, the renowned poetess also penned a twelve-thousand-and-six-hundred-page manuscript entitled “The Run-On Sentence.” Surely no truer supporter of the full stop has ever been known. (Surely no one questioned her capitalization of the word on in the title.) But back to the period. the period is used at the end of the sentence, following numbers in lists, and in many abbreviations, and some people find it a tasteful addition to a martini. That's pretty much it. Period. The Comma The comma is a lot like the period, the major difference being a little tail hanging down between what would be its legs if it had legs. This is a good metaphor, since the difference between the comma and the period is that the comma is a woos, causing only a pause and not a full stop. It’s kind of like a poodle in a world of Doberman pinschers and German shepherds. As editors, what we find wondrous about the comma is not the many nuances it can add to the language, or the many misreadings it can avoid; what we find most wonderful about it is this:

74. Intro To HTML
    what is true we ought to follow what is most probable. /blockquote ltp lth3 Theseare my favorite greek mathematicians (unordered list) /h3 ltul ltli  
    http://math.rice.edu/~lanius/pres/sc98/ezhtml.html
    
    Extractions: >From Einstein's book Relativity: In your schooldays most of you who read this book made acquaintance with the noble building of Euclid's geometry, and you remember-perhaps with more respect than love-the magnificent structure, on the lofty staircase of which you were chased about for uncounted hours by conscientious teachers.

75. Mathematical Printed Collection
    All the eminent greek mathematicians are represented in early or significant editionsPythagoras, with two editions of Hierocles’ commentary on his Carmina  
    http://rylibweb.man.ac.uk/data2/spcoll/maths/
    
    Extractions: The John Rylands University Library Special Collection Guide MATHEMATICAL PRINTED COLLECTION 1,000 items (dispersed). The Library has a wide range of printed works which chart the history of mathematics, from ancient times to the 19th century. All the eminent Greek mathematicians are represented in early or significant editions: Pythagoras, with two editions of Hierocles’ commentary on his Carmina Aurea , printed by Bartholomaeus de Valdezoccho (Padua, 1474) and Arnold Pannartz (Rome, 1475); Aristotle, with the first edition of the complete works in Greek (Aldus, Venice, 1495-98); Euclid, with copies of the first edition of the Elements , printed by Ratdolt in a Latin translation (Venice, 1482), the first edition of the Greek text printed by Hervagius (Basel, 1533), and the first English translation by Sir Henry Billingsley (1570); and Archimedes, with the first edition by Hervagius (Basel, 1544). Boethius made Latin redactions of a number of Greek scientific writings in around 500 AD. The Library has over fifty editions of his works, the earliest being the De Consolatione Philosophiae (Savigliano, 1470).

76. Geometry History Books
    Archimedes is considered the greatest of greek mathematicians. Archimedes isregarded as the greatest of the greek mathematicians and physicists.  
    http://www.geometryalgorithms.com/books_history.htm
    
    Extractions: N/A Apollonius: Conics Books V to VII: The Arabic Translation of the Lost Greek Original in the Version of the Banu Musa by Apollonius, Edited by G.J. Toomer This is the first literal English translation of the first edition of the original text of the advanced part of the most important work on conic sections written in antiquity and one of the most influential works in all of mathematics. The original Greek text is lost, and this is based on the sole surviving Arabic translation made in the 9th century which has never been translated directly to English. Cover

77. Perseus Update In Progress
    The circle is one of the enigma's of mathematics. It is defined as the set of points in a given plane at a given distance from a center point. From a practical position, a compass is an excellent tool for describing such a circle. Egyptian's, though, are considered practical mathematicians and probably never confronted the The problem gained importance as greek mathematics evolved, and it eventually became  
    http://www.perseus.tufts.edu/GreekScience/Students/Tim/SquaringCircle.html

78. ThinkQuest Library Of Entries
    Who was Ptolemy? Claudius (Ptolemaues) Ptolemy, born in Egypt in about 85 A.D., one of the most infuential greek astronomers, geographers and mathematicians.  
    http://library.advanced.org/19029/history200.html
    
    Extractions: The web site you have requested, Ptolemy's Ptools , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Ptolemy's Ptools click here Back to the Previous Page The Site you have Requested ... click here to view this site Click image for the Site Languages : Site Desciption Ever wonder how high a cloud is? You can calculate altitude right from your own backyard and this site will tell you how. It will also show you how to have fun while completing math projects. Learn more about Claudius Ptolemy, a famous Greek mathematician. Check out quadrants and the properties of triangles. Do math projects which measure trees, buildings, cloud altitude, wind speed, and the altitude of a model rocket flight.

79. Biography Of Pappus Of Alexandria
    Wrote treatise, the Mathematical Collection, as a guide to greek geometry, discusses theorems and constructions of more than thirty different mathematicians of antiquity.  
    http://www.lib.virginia.edu/science/parshall/pappus.html
    
    Extractions: Pappus of Alexandria flourished in the first half of the fourth century. He wrote his treatise, the Mathematical Collection , as a guide to Greek geometry. Here Pappus discusses theorems and constructions of more than thirty different mathematicians of antiquity, including Euclid , Archimedes and Ptolemy. Sometimes, as in the case of the problem of inscribing the five regular solids in a given sphere, Pappus provides alternatives to the proofs given in earlier works. In other cases, he generalizes theorems of earlier writers, as he does with the Pythagorean Theorem found in Euclid's Elements MAIN DOCUMENT CONTENTS FIRST MENTION To return to place in document from which you came, click on your browser's BACK BUTTON. Gillispie, Charles C. ed. The Dictionary of Scientific Biography , 16 vols. 2 supps. New York: Charles Scribner's Sons, 1970-1990. S.v. "Pappus of Alexandria" by Ivor Bulmer-Thomas.

80. The Hellenic Cultural Society Of San Diego, California
    The Hellenic Cultural Society is a notfor-profit corporation dedicated to researching, preserving and promoting the great work of the philosophers, historians, mathematicians, scientists, writers, artists and other minds of greek origin.  
    http://www.hellenic-culture.org/

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