Algebraic Geometry

Download E-books Algebraic Curves and Finite Fields: Cryptography and Other Applications (Radon Series on Computational and Applied Mathematics 16) PDF

This e-book collects the result of the workshops on purposes of Algebraic Curves and purposes of Finite Fieldsat the RICAMin 2013. those workshops introduced jointly the main famous researchers within the region of finite fields and their purposes around the globe, addressing outdated and new difficulties on curves and different points of finite fields, with emphasis on their varied purposes to many components of natural and utilized arithmetic.

Show description

Read or Download Algebraic Curves and Finite Fields: Cryptography and Other Applications (Radon Series on Computational and Applied Mathematics 16) PDF

Best Algebraic Geometry books

Fractured Fractals and Broken Dreams: Self-Similar Geometry through Metric and Measure (Oxford Lecture Series in Mathematics and Its Applications)

Fractal styles have emerged in lots of contexts, yet what precisely is a trend? How can one make particular the buildings mendacity inside of gadgets and the relationships among them? This booklet proposes new notions of coherent geometric constitution to supply a clean method of this ordinary box. It develops a brand new thought of self-similarity known as "BPI" or "big items of itself," which makes the sector a lot more uncomplicated for individuals to go into.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The speculation of elliptic curves is special by way of its lengthy historical past and through the variety of the equipment which have been utilized in its learn. This e-book treats the mathematics strategy in its sleek formula, by using simple algebraic quantity concept and algebraic geometry. Following a short dialogue of the mandatory algebro-geometric effects, the booklet proceeds with an exposition of the geometry and the formal staff of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and international fields.

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

This e-book introduces the speculation of modular types, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner thought; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian forms linked to Hecke eigenforms.

Additional resources for Algebraic Curves and Finite Fields: Cryptography and Other Applications (Radon Series on Computational and Applied Mathematics 16)

Show sample text content

Rated 4.82 of 5 – based on 14 votes