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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Algebraic Number Theory and Fermat's Last Theorem (Paperback, 4th edition)
Loot Price: R1,421
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Algebraic Number Theory and Fermat's Last Theorem (Paperback, 4th edition)
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Updated to reflect current research, Algebraic Number Theory and
Fermat's Last Theorem, Fourth Edition introduces fundamental ideas
of algebraic numbers and explores one of the most intriguing
stories in the history of mathematics-the quest for a proof of
Fermat's Last Theorem. The authors use this celebrated theorem to
motivate a general study of the theory of algebraic numbers from a
relatively concrete point of view. Students will see how Wiles's
proof of Fermat's Last Theorem opened many new areas for future
work. New to the Fourth Edition Provides up-to-date information on
unique prime factorization for real quadratic number fields,
especially Harper's proof that Z( 14) is Euclidean Presents an
important new result: Mihailescu's proof of the Catalan conjecture
of 1844 Revises and expands one chapter into two, covering
classical ideas about modular functions and highlighting the new
ideas of Frey, Wiles, and others that led to the long-sought proof
of Fermat's Last Theorem Improves and updates the index, figures,
bibliography, further reading list, and historical remarks Written
by preeminent mathematicians Ian Stewart and David Tall, this text
continues to teach students how to extend properties of natural
numbers to more general number structures, including algebraic
number fields and their rings of algebraic integers. It also
explains how basic notions from the theory of algebraic numbers can
be used to solve problems in number theory.
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