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Fearless Symmetry by Robert Gross, Avner Ash

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Artin, Emil. 1 998. Galois Theory, 2nd ed., Dover, New York. Edited and with a
supplemental chapter by Arthur N. Milgram.
Ash, Avner, and Robert Gross. 2000. Generalized non-abelian reciprocity laws:
a context for Wiles’ proof, Bull. London Math. Soc. 32, no. 4, 385–397.
Ash, Avner, Richard Pinch, and Richard Taylor. 1991. An
$
A
4
extension of Q
attached to a nonselfdual automorphic form on GL(3), Math. Ann. 291,no.4,
753–766.
Ball, W. W. Rouse. 1960. A Short Account of the History of Mathematics, Dover,
New York.
Boyer, Carl B. 1991. A History of Mathematics, 2nd ed., John Wiley, New York.
With a foreword by Isaac Asimov. Revised and with a preface by Uta C.
Merzbach.
Breuil, Christophe, Brian Conrad, Fred Diamond, and Richard Taylor. 2001.
On the modularity of elliptic curves over Q: wild 3-adic exercises, J. Amer.
Math. Soc. 14, no. 4, 843–939.
Derbyshire, John. 2003. Prime Obsession: Bernhard Riemann and the Greatest
Unsolved Problem in M athematics, Joseph Henry Press, Washington, DC.
Devlin, K eith. 2002. The Millennium Problems: The Seven Greatest Unsolved
Mathematical Puzzles of Our Time, Basic Books, New York.
Dolci, Danilo. 1959. Report from Palermo, Viking, New York. Introduction by
Aldous Huxley. Translated from the Italian by P.D. Cummins.
Edwards, Harold M. 1984. Galois Theory, Graduate Texts in Mathematics,
vol. 101, Springer-Verlag, New York.
Fenrick, Maureen H. 1998. Introduction to the Galois Correspondence,2nded.,
Birkh
¨
auser, Boston, MA.
Gaal, Lisl. 1998. Classical Galois Theory, AMS Chelsea Publishing, Provi-
dence, RI. Reprint of the third (1979)edition.
Gamow, George. 1989. One, Two, Three ...Infinity: Facts and Speculations of
Science, Dover, New York.
Garling, D.J.H. 19 86. A Course in Galois Theory, Cambridge University Press,
Cambridge.
266 BIBLIOGRAPHY
Hellegouarch, Yves. 2002. Invitation to the Mathematics of F ermat–Wiles,
Academic Press, San Diego, CA. Translated from the second (2001) French
edition by Leila Schneps.
Hofstadter, Douglas R. 1979. odel, Escher, Bach: An Eternal Golden Braid,
Basic Books, New York.
Klein, Jacob. 1992. Greek Mathematical Thought and the Origin of Algebra,
Dover, Reprint of the 1968 original.
Koblitz, Neal. 1 984. p-adic Numbers, p-adic Analysis, and Zeta-functions,2nd
ed., Graduate Texts in Mathematics, vol. 58, Springer-Verlag, New York.
Livio, Mario. 2002. The Golden Ratio: The Story of Phi, the World’s Most
Astonishing Number, Broadway Books, New York.
Mazur, Barry. 2003. Imagining Numbers (Particularly the Square Root of
Minus Fifteen), Farrar, Straus, and Giroux, New York.
Nagel, Ernest, and James R. Newman. 2001. odel’s Proof, revised edition,
New York University Press, New York. Edited and with a new foreword by
Douglas R. Hofstadter.
Nahin, Paul J. 1998. An Imaginary Tale: The Story of
1, Princeton Univer-
sity Press, Princeton, NJ.
Penrose, Roger. 2005. The Road to Reality: A Complete Guide to the Laws of
the Universe, Knopf, New York.
Ribet, K. A. 1990. On modular representations of Gal(
Q/Q)arisingfrom
modular forms, Invent. Math. 100, no. 2, 431–476.
Rotman, Joseph. 1998. Galois Theory, 2nd ed., Universitext, Springer-Verlag,
New York.
Singh, Simon. 1997. Fermat’s Enigma: The Epic Quest to Solve the World’s
Greatest Mathematical Problem, Walker and Company, New York. Foreword
by John Lynch.
Smith, David Eugene. 1958. History of Mathematics, Dover, New York.
Smullyan, Raymond M. 1 992. odel’s Incompleteness Theorems, Oxford Logic
Guides, vol. 19, Oxford University Press, New York.
Stewart, Ian. 1989. Galois Theory, 2nd ed., Chapman and Hall, London.
Struik, Dirk J. 1987. A Concise History of Mathematics, 4th ed., Dover, New
York.
Taylor, Richard, and Andrew Wiles. 1995. Ring-theoretic properties of certain
Hecke algebras, Ann. of Math. (2) 141, no. 3, 553–572.
Tunnell, Jerrold. 1981. Artin’s conjecture for representations of octahedral
type, Bull. Amer. Math. Soc. (N.S.) 5, no. 2, 173–175.
Tunnell, Jerrold. 1983. A classical Diophantine problem and modular forms of
weight 3/2, Inventiones M ath. 72, no. 2, 323–334.
van der Poorten, Alf. 1996. Notes on Fermat’s Last Theorem, Canadian
Mathematical Society Series of Monographs and Advanced Texts, Wiley-
Interscience, New York.
Weyl, Hermann. 1989. Symmetry, Princeton Science Library, Princeton Uni-
versity Press, Princeton, NJ. Reprint of the 1 952 original.
BIBLIOGRAPHY 267
Wiles, Andrew. 1995. Modular elliptic curves and Fermat’s last theorem, Ann.
of Math. (2) 141, no. 3, 443–551.
Yui, Noriko. Update on the modularity of Calabi–Yau varieties, Calabi–
Yau varieties and mirror symmetry (Toronto, ON, 2001), Fields Inst.
Commun., vol. 38, American Mathematical Society, Providence, RI,
2003, pp. 307–362. With an appendix by Helena Verrill.
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