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  1. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire, 2004-05-25

101. Science -- Sign In
Prime Obsession Bernhard Riemann and the Greatest unsolved Problem in Derbyshire, a banker and novelist with an advanced degree in mathematics,
http://www.sciencemag.org/cgi/content/full/302/5642/60
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102. John F. Nash, Jr. - Autobiography
of as a problem that was unsolved beyond the case of 2 dimensions. Here,although I did succeed in solving the problem, I ran into some bad luck since,
http://nobelprize.org/economics/laureates/1994/nash-autobio.html
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My beginning as a legally recognized individual occurred on June 13, 1928 in Bluefield, West Virginia, in the Bluefield Sanitarium, a hospital that no longer exists. Of course I can't consciously remember anything from the first two or three years of my life after birth. (And, also, one suspects, psychologically, that the earliest memories have become "memories of memories" and are comparable to traditional folk tales passed on by tellers and listeners from generation to generation.) But facts are available when direct memory fails for many circumstances.
My father, for whom I was named, was an electrical engineer and had come to Bluefield to work for the electrical utility company there which was and is the Appalachian Electric Power Company. He was a veteran of WW1 and had served in France as a lieutenant in the supply services and consequently had not been in actual front lines combat in the war. He was originally from Texas and had obtained his B.S. degree in electrical engineering from Texas Agricultural and Mechanical (Texas A. and M.).
My mother, originally Margaret Virginia Martin, but called Virginia, was herself also born in Bluefield. She had studied at West Virginia University and was a school teacher before her marriage, teaching English and sometimes Latin. But my mother's later life was considerably affected by a partial loss of hearing resulting from a scarlet fever infection that came at the time when she was a student at WVU.

103. Review Of "Prime Obsession"
mathematics Problem That Remains Elusive — And Beautiful For centuries,mathematicians have argued that math offers us ways to comprehend reality far
http://olimu.com/Riemann/Reviews/WashingtonTimes.htm
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Washington Times
August 17th Mathematics Problem That Remains Elusive And Beautiful By Raymond Petersen Raymond Petersen is a botanist and Professor of Biology at Howard University. He teaches a course in the History and Philosophy of Science. Bernhard Riemann (1826-1866) published nine scientific articles during his short life. Two were major intellectual blockbusters. The first, presented in 1854 at Göttingen University, qualified him for a tenured position on that school's soon-to-become world-class mathematics department. Riemann's lecture, "On the Hypotheses that Lie at the Foundation of Geometry," is regarded as one of the 10 top presentations in mathematics, ever. In it, he outlined a new type of geometry, which led to such diverse discoveries as atomic bombs and black holes and today is famously known as Riemann Geometry. His second blockbuster article is the subject of John Derbyshire's new book, "Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics." That problem, entitled "On the Number of Prime Numbers Less Than a Given Quantity," was likewise delivered in lecture form, this time in August of 1859 on the occasion of Riemann's induction into the Berlin Academy of Science, a tremendous honor for the then 32-year-old mathematician. The title of the second great lecture is deceptively simple. In that paper, Riemann proposed a mechanism, the Zeta function, for determining the distribution of prime numbers. He also formulated a conjecture, the Riemann Hypothesis — all non-trivial zeros (of the Riemann Zeta Function) have real parts one half. A proof of this hypothesis would validate the use of the Riemann Zeta Function for determining prime number distribution.

104. The Chronicle: 4/23/2004: Mathematics With A Moral
and by 1993 considered the most famous unsolved problem in all of mathematics . First, a curious fact of mathematical life When faced with a problem
http://chronicle.com/free/v50/i33/33b01001.htm
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Back issues Home News ... Advertise with us From the issue dated April 23, 2004
Mathematics With a Moral
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By ROBERT OSSERMAN
The past decade has been an exciting one in the world of mathematics and a fabulous one (in the literal sense) for mathematicians, who saw themselves transformed from the frogs of fairy tales regarded with a who-would-want-to-kiss-that aversion, when they were noticed at all into fascinating royalty, portrayed on stage and screen by such glamorous stars as Mary-Louise Parker, Matt Damon, and Russell Crowe. True, the dramatized mathematicians were generally troubled, but they were geniuses and ultimately sympathetic.
Who bestowed the magic kiss on the mathematical frog? There may have been two kisses, one from inside and the other from outside the world of mathematics. The external kiss came first, in the spring of 1993, with the debut of Tom Stoppard's play Arcadia, which depicted mathematical genius in the guise of an appealing 13-year-old girl full of adolescent exuberance, saucy humor, and high spirits. The opening scene of the play refers to Fermat's Last Theorem, already a famous problem in 1809, when the scene takes place, and by 1993 considered the most famous unsolved problem in all of mathematics.
Just two months after the play opened came the kiss from within, as Andrew Wiles announced that he had finally proved Fermat's Last Theorem. The formerly obscure realm of mathematical research made the front pages of newspapers around the world, and the real-life fairy tale of Wiles's seven-year struggle with the proof was portrayed on television and in books, reaching what may have been the height of unreality as he and his wife watched themselves depicted as the lead characters in a New York musical

105. Selected Number Theory References
Written with a target audience of nonmath majors. ($72) Guy94 UnsolvedProblems in Number Theory, 2nd Ed, R. Guy, Springer-Verlag, 1994 A catalog of
http://www.math.umbc.edu/~campbell/NumbThy/Class/References.html
Selected Number Theory References
General - Elementary Level
Elementary Number Theory
A good general text. Written at a fairly simple level, but covers a broad range of topics in elementary number theory. ($35, UMBC library)
A Friendly Introduction to Number Theory , Silverman, Prentice-Hall, 1997
A good, if somewhat sparse, introduction to number theory. Gives short shrift to some classical topics in order to provide a coverage of elliptic curves. Written with a target audience of non-math majors. ($72)
General - Advanced Level
A Course in Number Theory nd Ed, by H. E. Rose, Oxford Univ Press, 1996
Good general text, best suited for either advanced undergraduate or first graduate course. ($45, UMCP library)
The Theory of Numbers
Good text, best suited for either advanced undergraduate or first graduate course. Classical approach with recently added sections having some computational flavor. Previously used as a text for this class. ($95, UMBC library)
A Classical Introduction to Modern Number Theory
One of the best general number theory books at a graduate level. Little computational coverage but good coverage from a modern algebraic viewpoint. Contains a short introduction to the theory of finite fields. ($60, UMCP library)

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