Fred Diamond,Jerry Shurman's A First Course in Modular Forms (Graduate Texts in PDF

By Fred Diamond,Jerry Shurman

This publication introduces the speculation of modular varieties, 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 conception; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms. because it offers those rules, the ebook states the Modularity Theorem in a number of kinds, referring to them to one another and relating their purposes to quantity thought. The authors imagine no heritage in algebraic quantity thought and algebraic geometry. routines are included.

Show description

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

Similar number theory books

Read e-book online The Arithmetic of Infinitesimals (Sources and Studies in the PDF

John Wallis (1616-1703) used to be the most influential English mathematician sooner than Newton.  He released his most famed paintings, Arithmetica Infinitorum, in Latin in 1656.  This e-book studied the quadrature of curves and systematised the research of Descartes and Cavelieri.  Upon book, this article instantly grew to become the normal booklet at the topic and was once usually talked about through next writers.

Download PDF by Michael D. Fried,Moshe Jarden: Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer

Box mathematics explores Diophantine fields via their absolute Galois teams. This mostly self-contained therapy starts off with innovations from algebraic geometry, quantity conception, and profinite teams. Graduate scholars can successfully research generalizations of finite box principles. We use Haar degree at the absolute Galois workforce to exchange counting arguments.

Einführung in Algebra und Zahlentheorie (Springer-Lehrbuch) by Rainer Schulze-Pillot PDF

Das Buch bietet eine neue Stoffzusammenstellung, die elementare Themen aus der Algebra und der Zahlentheorie verknüpft und für die Verwendung in Bachelorstudiengängen und modularisierten Lehramtsstudiengängen konzipiert ist. Es führt die abstrakten Konzepte der Algebra in stetem Kontakt mit konkreten Problemen der elementaren Zahlentheorie und mit Blick auf Anwendungen ein und bietet Ausblicke auf fortgeschrittene Themen.

John Stillwell's Mathematics and Its History (Undergraduate Texts in PDF

From a assessment of the second one edition:"This booklet covers many attention-grabbing themes now not often coated in a gift day undergraduate direction, in addition to definite easy themes similar to the advance of the calculus and the answer of polynomial equations. the truth that the subjects are brought of their historic contexts will permit scholars to higher delight in and comprehend the mathematical principles concerned.

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 Ronald
4.0

Rated 4.12 of 5 – based on 43 votes