By Fred Diamond,Jerry Shurman

ISBN-10: 038723229X

ISBN-13: 9780387232294

ISBN-10: 1441920056

ISBN-13: 9781441920058

This e-book introduces the idea of modular types, from which all rational elliptic curves come up, with an eye fixed 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 idea; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian forms linked to Hecke eigenforms. because it provides those principles, the ebook states the Modularity Theorem in quite a few kinds, bearing on them to one another and relating their purposes to quantity thought. The authors think no history in algebraic quantity conception and algebraic geometry. workouts are included.

Show description

Read Online or Download A First Course in Modular Forms (Graduate Texts in Mathematics) PDF

Best number theory books

Read e-book online The Theory of Remainders (Dover Books on Mathematics) PDF

An resourceful creation to quantity concept, this new angle employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via numerous theories, and jointly, they placed the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic gadget to simplify difficulties in modular constructions, and constructing interesting adjustments to the principles of chess.

Read e-book online Linear Algebra with Applications PDF

This booklet provides a self- contained remedy of linear algebra with a lot of its most crucial functions. it's very strange if no longer distinctive in being an basic booklet which doesn't forget arbitrary fields of scalars and the proofs of the theorems. it will likely be necessary for starting scholars and in addition as a reference for graduate scholars and others who desire a simple to learn clarification of the $64000 theorems of this topic.

Alexander Soifer's The Colorado Mathematical Olympiad: The Third Decade and PDF

 Now in its 3rd decade, the Colorado Mathematical Olympiad (CMO), based by way of the writer, has turn into an annual state-wide pageant, webhosting many 1000s of heart and highschool contestants every year. This e-book offers a year-by-year background of the CMO from 2004–2013 with the entire difficulties from the competitions and their strategies.

Download e-book for kindle: Topics in Computational Number Theory Inspired by Peter L. by Joppe W. Bos,Arjen K. Lenstra

Peter L. Montgomery has made major contributions to computational quantity concept, introducing many uncomplicated instruments corresponding to Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This ebook good points cutting-edge examine in computational quantity idea relating to Montgomery's paintings and its impression on computational potency and cryptography.

Extra info for A First Course in Modular Forms (Graduate Texts in Mathematics)

Example text

Download PDF sample

A First Course in Modular Forms (Graduate Texts in Mathematics) by Fred Diamond,Jerry Shurman


by James
4.1

Rated 4.32 of 5 – based on 9 votes