Jurusan Manajemen E-books

Algebraic Geometry

Download E-books Modular Forms and Fermat's Last Theorem PDF

This quantity includes the accelerated lectures given at a convention on quantity concept and mathematics geometry held at Boston collage. It introduces and explains the numerous rules and methods utilized by Wiles, and to provide an explanation for how his outcome might be mixed with Ribets theorem and ideas of Frey and Serre to turn out Fermats final Theorem. The publication starts with an summary of the full evidence, via a number of introductory chapters surveying the fundamental idea of elliptic curves, modular capabilities and curves, Galois cohomology, and finite crew schemes. illustration idea, which lies on the center of the facts, is handled in a bankruptcy on automorphic representations and the Langlands-Tunnell theorem, and this is often by way of in-depth discussions of Serres conjectures, Galois deformations, common deformation jewelry, Hecke algebras, and entire intersections. The booklet concludes by way of taking a look either ahead and backward, reflecting at the historical past of the matter, whereas putting Wiles'theorem right into a extra normal Diophantine context suggesting destiny purposes. scholars mathematicians alike will locate this an fundamental source.

Show description

Read or Download Modular Forms and Fermat's Last Theorem PDF

Best Algebraic Geometry books

The Turban for the Crown: The Islamic Revolution in Iran (Studies in Middle Eastern History)

The Iranian revolution nonetheless baffles such a lot Western observers. Few thought of the increase of theocracy in a modernized country attainable, and less suggestion it could possibly end result from a favored revolution. stated Amir Arjomand's The Turban for the Crown offers a considerate, painstakingly researched, and intelligible account of the turmoil in Iran which unearths the significance of this singular occasion for our realizing of revolutions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and methods during this sector. compatible for self-study by means of a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228)

This ebook introduces the speculation of modular kinds, from which all rational elliptic curves come up, with a watch towards the Modularity Theorem. dialogue covers elliptic curves as complicated tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner concept; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian kinds linked to Hecke eigenforms.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In response to a direction given to proficient high-school scholars at Ohio college in 1988, this publication is basically a complicated undergraduate textbook concerning the arithmetic of fractal geometry. It properly bridges the space among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Extra info for Modular Forms and Fermat's Last Theorem

Show sample text content

Rated 4.79 of 5 – based on 30 votes