Can someone  provide me with details on 5 eminent mathemaiticians between the prriod of euclid and euler?
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Lookup euclid and euler in wikipedia and see their years of birth and death. Then lookup 'mathematicians' and check out each of those years of birth and death. Pick 5 that lived and worked betwen euclid and eulers time. The fact they are listed in wikipedia at all would imply they are eminent, but you can also read up on whether they achieved something outstanding. I'm sure your teacher will want to know a bit about why you and others consider them 'eminent'.\n\nOn the mathematicians page, there is a link to a 'list of mathematicians' page with A to Z categories below that. If you click on A for example, it lists those mathematicians beginning with A with the dates on a single page. That makes the job quite easy.
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Of all time. There is so much choice, but here are 5 and why:\n\n1. Isaac Newton - introduced mathematical formalism to physics and created calculus (he called it fluxions)\n2. James Clerk Maxwell -  gave the first unified explanation of electromagnetism\n3. Ludwig Boltzmann - gave the first mathematical interpretation of the profoundly important second law of thermodynamics, and derived the Botlzmann distribution for gases\n4. Max Planck - founded quantum mechanics\n5. Richard Feynman - developed the first way to handle the fiendish equations of sub nuclear particle physics,  and thereby made quark theory possible\n\nOf the 5 I would pick Feynman as my number 1 - no other physicist has had such profound intuition as to how the universe works. You can still buy his popular science books.
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The brilliant mathematicians I know (and I do know a few) are very sensible and pleasant people. What are you basing this ridiculous assumption on? Or are you hoping that being bad at math can be twisted into a positive thing?
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Fermat lived 300 years ago and is best remembered for his last theorem which says that there are no two integers, excluding 1, that can be raised to any common power greater than 2 and summed such that the total equals the value of another integer raised to the same power ie x^n+y^n can never equal z^n where x,y,z are integers greater than 1 and n is an index greater than 2. The thing that made this famous was that though sort of obvious no one could prove it and doing so became one of the great challenges in maths for 3 centuries. It wasn't until 1994 that Andrew Wiles finally had a proof accepted as being valid.
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http://www.maa.org/mathland/mathtrek_11_27_00.html
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Rene Descartes (the Cartesian coordinate plane plus many other contributions)\n\nPierre de Fermat\n\nBlaise Pascal\n\nLook them up. That can get you started. Personally, I'm going to bed.
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Euclid has proven that there are an infinite number of prime numbers and did so rather elegantly in what many mathematicians believe is one of the best proofs ever. \n\nYou can see the worked theorem here...\n\nhttp://primes.utm.edu/notes/proofs/infinite/euclids.html\n\n... and of course just in case, here is a more plain english explanation...\n\nhttp://aleph0.clarku.edu/%7Edjoyce/java/elements/bookIX/propIX20.html
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John Venn (August 4, 1834 - April 4, 1923) was an English mathematician/logician who invented the Venn diagram. \n\nBut Euler described numerous applications of Bernoulli's numbers, Fourier series, Venn diagrams, Euler's numbers, e and pi constants, continued fractions and integrals. \n\nEuler invented Euler circle.\n The nine point circle is a circle that can be constructed for any given triangle. It is named so because it passes through nine significant points, with six of them lying on the triangle itself: * the midpoints of the three sides,* the feet of the altitudes, * the midpoints of the portion of altitude between the vertices and the orthocenter.
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Try this website...it has A LOT of links:\nhttp://www.kathimitchell.com/math.htm\n\nIf you have any specific questions, feel free to send me a message and I will try to help.
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ABOUT THE BINOMIAL THEOREM I AM TEEMING WITH A LOT OF NEWS\n\nWITH MANY CHEERFUL FACTS ABOUT THE SQUARE ON THE HYPOTENEUSE\n\n(W. S. Gilbert, I am The Very Model of a Modern Major General)\n\nI am assuming we are dealing with what we know is a PRIMITIVE Pythagorean triple ie one like (3,4,5) or (5,12,13) or (8,15,17) or (20,21,29) in which there is no common factor between the three sides, NOT one like (6,8,10) which is divisible by 2.\n\nThere are tables published of the smallest triples, in ascending order of hypooteneuse, so you may be able to look it up and not need to calculate it. \n\nhttp://www.math.rutgers.edu/~erowland/tripleslist-long.html\n\nHowever, two points.  \n\nNot every integer can be a hypoteneuse. There are gaps in the table eg after (3,4,5) the next smallesr hypoteneuse is 13 (in (5, 12, 13). There are no primitive triples with a hypoteneuse of 6, 7, 8, 9, 10, 11 or 12. And therefore if you were given a hypoteneuse of 12, there are no integer solutions to it.\n\nSecondly, there are cases where a number is hypoteneuse to more than one triple. 65 is the lowest such number and 85 is the next.\n\n(16, 63, 65) and (33, 56, 65)\n(13, 84, 85) and (36, 77, 85)\n\nThese are known as siblings. Both give correct solutions and you can't say one is right and the other is wrong. Here are a couple of special cases, with more than two solutions:\n\n(47, 1104, 1105)\n(744, 817, 1105)\n(576, 943, 1105) \n(264, 1073, 1105)\n\nThere are EIGHT siblings with a hypoteneuse of 32045, SIXTEEN siblings with a hypoteneuse of 1185665, THIRTY-TWO siblings with a hypoteneuse of 48612265, AND SIXTY FOUR siblings with a hypoteneuse of 2576450045.\n\nHere are rthe eight siblings with a hypoteneuse of 32045:\n\n(2277, 31964, 32045) \n(8283, 30956, 32045)\n(17253, 27004, 32045) \n(21093, 24124, 32045)\n(22244, 23067, 32045)\n(15916, 27813, 32045)\n(6764, 31323 , 32045)\n(716, 32037, 32045)\n\nLacking access to tables, for small numbers, you may be able to work it out, by trial and error, using the following properties\n\n(a) the hypoteneuse must be the biggest side and must be an odd number (to be a primitive triple)\n\n(b) one of the legs will be an odd number and the other an even number\n\n(c) As a result, the difference between the two small sides will always be an odd number. In fact it is either a prime number (eg 1, 7 and 17 feature, but 11, 13 and 19 do not) or a power of a prime number (49 is the lowest such).\n\n(d) the sum of the two legs must be bigger than the hypoteneuse\n\n(e) one and only one of the legs must be divisible by 3\n\n(f)  one and only one of the legs must be divisible by 4\n\n(g)  one and only one side (which might be the hypoteneuse) must be divisible by 5\n\n(h) follows from (e) (f) and (g)\n\n(h) the product of the three sides is always divisible by 60\n\nThus if you knew the hypoteneuse and could see it was not divisible by 5, then it follows the legs must, between them, be divisible BY 3 4 AND 5\n\nSo if you knew the hypoteneuse is 61, it seems obvious to try one of the legs as 60 and see if that works (it does, (11, 60, 61) is a triple. \n\nIn fact you can work out the third member is 11 by adding 60 and 61 to see if it is a perfect square (it is 121) and taking the square root of it, if so. (another property of triples whose two largest sides differ by 1).\n\nGiven that 17 is a hypoteneuse and knowing one of the other sides must be 3 x 4 or 3 x 5 (4 x 5 would be larger than 17) you have a choice of (12, x, 17) where x = 5 or 15 (has to be odd as 12 is even) or (y, 15, 17) where y is 4, 8, 12 or 16)\n\nIt turns out to be (8, 15, 17)\n\nAgain, knowing a property of all triples where the hypoteneuse and the larger leg differ by 2, there is a shortcut, that leads to 8 ... take the average of the two longer sides, multiply by 4 and take the square root. (thus 16 => 64 => 8)\n\nThis holds true for \n(12, 35, 37)\n(16, 63, 65)\n(20, 99, 101) etc\n\nSo it is possible to make intelligent guesses at the
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You've gotta put Euler on your list; he's one of the most prolific mathematicians EVER.  Archimedes is probably the best ancient mathematician.  (Pythagoras may be famous for his theorem, but that theorem was known to the Chinese before Pythagoras' time.)  For a name that's been passed down through the ages, though, you've gotta go with al-Khowarizmi.  While he wasn't an innovator, his classic text "al-Jabr wa'l Muqabala" gave us the term "algebra" and his name is the basis of our word "algorithm".
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Archimedes-lever and screw\nPythagoras-pythagorean theorum
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Carl Friedrich Gauss (30 April 1777 – 23 February 1855) was a German mathematician and scientist of profound genius who contributed significantly to many fields, including number theory, analysis, differential geometry, geodesy, magnetism, astronomy and optics. Sometimes known as "the prince of mathematicians", Gauss had a remarkable influence in many fields of mathematics and science and is ranked beside Euler, Newton and Archimedes as one of history's greatest mathematicians.
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e^(i*pi)+1= zero\n\nthis is the divine formula because we can se the most important variable of mathematics in one fromula\n\ne=2.7818281828 (euler number)\npi=3.141592654 (pi)\ni= sqrt(-1)    (imaginary)\n\nalso 1 the neutral mutiplication number and the zero the neutral addition number\n\nwhy e , pi , i  are important?\n\nbecause we can express any sinouidal function or hyp function by e, i , pi and the integration and the solution of many ODE problem and IVP can be related to them\n\nsin(x)=[e(ix)-e(ix)]/(2i)\ncos(x)=[e(ix)+e(ix)]/(2)\n\nsinh(x)=[e(x)-e(x)]/(2)\ncosh(x)=[e(x)+e(x)]/(2)\n\nwhere sin(x)=i sinh(ix)\nwhere cos(x)=cosh(ix)\n\nthose function  are basics of mathematics
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check this site\n\nhttp://scienceworld.wolfram.com/biography/Fermat.html
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You have so many choices:\n\n  1. Carl F. Gauss\n  2. Sir Isaac Newton\n  3. Leonhard Euler\n  4. Archimedes  of Syracuse\n  5. Euclid  of Alexandria\n  6. Gottfried Wilhelm Leibniz\n  7. Henri Poincaré\n  8. Pierre de Fermat\n  9. Augustin Cauchy\n10. Bernhard Riemann
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Leonard of Pisa or Fibonacci played an important role in reviving ancient mathematics and made significant contributions of his own. Liber abaci introduced the Hindu-Arabic place-valued decimal system and the use of Arabic numerals into Europe.\n\n\nA quotation by Fibonacci\n\n--------------------------------------------------------------------------------\nHow many pairs of rabbits can be bred from one pair in a year?\nA man has one pair of rabbits at a certain place entirely surrounded by a wall. We wish to know how many pairs will be bred from it in one year, if the nature of these rabbits is such that they breed every month one other pair and begin to breed in the second month after their birth. ... Liber abaci (1202) \n\nBooks:\n\n\nJ Gies and F Gies, Leonard of Pisa and the New Mathematics of the Middle Ages (1969). \nH Lüneburg, Leonardi Pisani Liber Abbaci oder Lesevergnügen eines Mathematikers (Mannheim, 1993) \n\n\nThe Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ... (add the last two to get the next) \n\nhttp://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/\n\n___________________\n\nPalindrome: A word, phrase, verse, or sentence that reads the same backward or forward.\n\nWORLD'S BIGGEST PALINDROME\n\nStar? Not I! Movie – it too has a star in or a cameo who wore mask – cast are livewires. \n\nSoda-pop straws are sold, as part-encased a hot tin, I saw it in mad dog I met. Is dog rosy? Tie-dye booths in rocks. \n\nAll ewes lessen ill. I see sheep in Syria? He, not I, deep in Syria, has done. No one radio drew old one. \n\nMany moths – I fondle his; no lemons are sold. Loot delis, yob, moths in a deli bundle his tin. Pins to net a ball I won – pins burst input. I loot to get a looter a spot paler. Arm a damsel – doom a dam. Not a base camera was in a frost, first on knees on top spot. Now a camera was a widened dam. \n\nAsk: Cold, do we dye? No, hot – push tap, set on to hosepipe. Nuts in a pod liven. \n\nA chasm regrets a motto of a fine veto of wars. Too bad – I all won. A sadist sent cadets – a war reign a hero derides. A bad loser, a seer, tossed a cradle – he begat to cosset – a minaret for Carole, Beryl, Nora. We’re not as poor to self. \n\nI risk cold as main is tidal. As not one to delay burden, I don’t set it on “hot”. A foot made free pie race losses runnier. As draw won pull, eye won nose. Vile hero saw order it was in – even a moron saw it – no, witnessed it: Llama drops – ark riots. Evil P.M. in a sorer opus enacts all laws but worst arose. Grab a nosey llama – nil lesser good, same nicer omen. \n\nIn pins? No, it is open. If a top spins, dip in soot. \n\nMadam, as I desire, dictates: Pull aside, damsels, I set a rag not for a state bastion. A test I won e.g. a contest I won. \n\nKidnap, in part, an idle hero. Megastars, red, rosy, tied no tie. Blast! A hero! We do risk a yeti’s opposition! \n\n  \n\n\nHe too has a wee bagel still up to here held. \n\nDemigods pack no mask, cap nor a bonnet, for at last a case is open – I left a tip – it wets. A dog wets too. Radios to help pay my tip, pull a tip. \n\nAle, zoo beer, frets yon animal. Can it? New sex arose but, we sots, not to panic – it’s ale – did I barrel? Did I lose diadem, rare carrot in a jar of mine? Droop as tops sag – unseen knots. \n\nA cat ate straw as buck risk cud; evil foe, nil a red nag ate? Bah! Plan it – silage. Model foot in arboreta. \n\nI, dark Satanist, set fire – voodoo – to slat. I design a metal as parrot, I deem it now. One vast sum is no ten in set – amen! Indeed, nine drag a yam, nine drag a tie. Dame nabs flower; can we help man? Woman is worse nob. \n\nMud level rose, so refill a rut. A nag of iron I made to trot I defied – I risk leg and its ulnae. Can a pen I felt to bid dollar or recite open a crate, open a cradle, his garret? \n\nSample hot Edam in a pan. I’m a rotten digger – often garden I plan, I agreed; All agreed? Aye, bore ensign; I’d a veto