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Notes on fermat's last theorem

By: Material type: TextTextLanguage: English Series: Canadian Mathematical Society series of monographs and advanced textsPublication details: USA Wiley Interscience 1996Description: xvi, 222p. illISBN:
  • 0471062618 (HB)
Subject(s):
Contents:
I. Quasi-historical introduction II. Remarks on unique factorization III. Elementary methods IV. Kummer's arguments V. Why do we believe Wiles? More quasi-history VI. Diophantus and Fermat VII. A child's introduction to elliptic functions VIII. Local and global IX. Curves X. Modular forms XI. The Modularity Conjecture XII. The functional equation XIII. Zeta functions and L-series XIV. The ABC-Conjecture XV. Heights XVI. Class number of imaginary quadratic number fields XVII. Wiles' proof
Summary: Around 1637, the French jurist Pierre de Fermat scribbled in the margin of his copy of the book Arithmetica what came to be known as Fermat's Last Theorem, the most famous question in mathematical history. Stating that it is impossible to split a cube into two cubes, or a fourth power into two fourth powers, or any higher power into two like powers, but not leaving behind the marvelous proof claimed to have had, Fermat prompted three and a half centuries of mathematical inquiry which culminated recently with the proof of the theorem by Andrew Wiles.
Item type: BOOKS
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IMSc Library IMSc Library 511.522 VAN (Browse shelf(Opens below)) Available 49398

Includes index

I. Quasi-historical introduction II. Remarks on unique factorization III. Elementary methods IV. Kummer's arguments V. Why do we believe Wiles? More quasi-history VI. Diophantus and Fermat VII. A child's introduction to elliptic functions VIII. Local and global IX. Curves X. Modular forms XI. The Modularity Conjecture XII. The functional equation XIII. Zeta functions and L-series XIV. The ABC-Conjecture XV. Heights XVI. Class number of imaginary quadratic number fields XVII. Wiles' proof

Around 1637, the French jurist Pierre de Fermat scribbled in the margin of his copy of the book Arithmetica what came to be known as Fermat's Last Theorem, the most famous question in mathematical history. Stating that it is impossible to split a cube into two cubes, or a fourth power into two fourth powers, or any higher power into two like powers, but not leaving behind the marvelous proof claimed to have had, Fermat prompted three and a half centuries of mathematical inquiry which culminated recently with the proof of the theorem by Andrew Wiles.

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The Institute of Mathematical Sciences, Chennai, India