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" Algebraic number theory and Fermat's last theorem / "
Ian Stewart, David Tall.
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BL
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| Record Number
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853435
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| Main Entry
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Stewart, Ian,1945-
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| Title & Author
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Algebraic number theory and Fermat's last theorem /\ Ian Stewart, David Tall.
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| Edition Statement
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3rd ed.
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| Publication Statement
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Natick, Mass. :: AK Peters,, ©2002.
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| Page. NO
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xix, 313 pages :: illustrations ;; 24 cm
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| ISBN
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1568811195
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: 9781568811192
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| Notes
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Revised edition of: Algebraic number theory. 2nd. 1987.
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| Bibliographies/Indexes
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Includes bibliographical references (pages 303-308) and index.
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| Contents
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Algebraic background -- Algebraic numbers -- Quadratic and cyclotomic fields -- Factorization into irreducibles -- Ideals -- Lattices -- Minkowski's theorem -- Geometric representation of algebraic numbers -- Class-group and class-number -- Computational methods -- Kummer's special case of Fermat's last theorem -- The path to the final breakthrough -- Elliptic curves -- Elliptic functions -- Appendices. A. Quadratic residues ; B. Dirichlet's units theorem.
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| Abstract
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One of the latest mathematical discoveries was the proof, by Andrew Wiles, of Fermat's last theorum, a 300-year old conjecture that had eluded professional mathematicians as well as serious amateurs. This revised edition introduces all elements necessary for understanding Wiles' proof.
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Algebraic number theory.
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Fermat's last theorem.
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Fermat, Grand théorème de.
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Nombres algébriques, Théorie des.
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Algebraic number theory.
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Algebraische Zahlentheorie
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Fermat's last theorem.
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Números algébricos.
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Teoria dos números.
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Algebraische Zahlentheorie.
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| Dewey Classification
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512/.74
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| LC Classification
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QA247.S76 2002
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| NLM classification
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31.14bcl
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31.14.bcl
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MAT 120fstub
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SK 180rvk
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SK 180.rvk
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| Added Entry
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Stewart, Ian,1945-
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Tall, David Orme.
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