Henry McKean,Victor Moll's Elliptic Curves: Function Theory, Geometry, Arithmetic PDF

By Henry McKean,Victor Moll

the topic of elliptic curves is among the jewels of nineteenth-century arithmetic, originated by means of Abel, Gauss, Jacobi, and Legendre. This 1997 publication offers an introductory account of the topic within the kind of the unique discoverers, with references to and reviews approximately more moderen and glossy advancements. It combines 3 of the basic topics of arithmetic: complicated functionality thought, geometry, and mathematics. After an off-the-cuff preparatory bankruptcy, the publication follows an old direction, starting with the paintings of Abel and Gauss on elliptic integrals and elliptic features. this can be by means of chapters on theta features, modular teams and modular capabilities, the quintic, the imaginary quadratic box, and on elliptic curves. Requiring just a first acquaintance with advanced functionality idea, this ebook is a perfect advent to the topic for graduate scholars and researchers in arithmetic and physics, with many workouts with tricks scattered in the course of the text.

Show description

Read Online or Download Elliptic Curves: Function Theory, Geometry, Arithmetic (Cambridge Tracts in Mathematics (Hardcover)) PDF

Similar number theory books

Number Theory: An Introduction via the Distribution of by Benjamin Fine,Gerhard Rosenberger PDF

This ebook presents an advent and assessment of quantity concept in keeping with the distribution and houses of primes. This new angle presents either an organization history within the typical fabric in addition to an summary of the total self-discipline. all of the crucial themes are coated: primary theorem of mathematics, thought of congruences, quadratic reciprocity, mathematics capabilities, and the distribution of primes.

Read e-book online Mathematics of Aperiodic Order (Progress in Mathematics) PDF

What's order that isn't in keeping with basic repetition, that's, periodicity? How needs to atoms be prepared in a fabric in order that it diffracts like a quasicrystal? How will we describe aperiodically ordered platforms mathematically? initially brought on via the – later Nobel prize-winning – discovery of quasicrystals, the research of aperiodic order has when you consider that turn into a well-established and swiftly evolving box of mathematical study with shut ties to a shocking number of branches of arithmetic and physics.

Die Wechselwirkung zwischen Zahlenrechnen und Zahlentheorie by Ph. Maennchen PDF

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer publication files mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen.

Geometry, Analysis and Probability: In Honor of Jean-Michel by Jean-Benoît Bost,Helmut Hofer,François Labourie,Yves Le PDF

This quantity offers unique learn articles and prolonged surveys regarding the mathematical curiosity and paintings of Jean-Michel Bismut. His striking contributions to chance thought and international research on manifolds have had a profound influence on a number of branches of arithmetic within the parts of keep an eye on thought, mathematical physics and mathematics geometry.

Additional info for Elliptic Curves: Function Theory, Geometry, Arithmetic (Cambridge Tracts in Mathematics (Hardcover))

Example text

Download PDF sample

Elliptic Curves: Function Theory, Geometry, Arithmetic (Cambridge Tracts in Mathematics (Hardcover)) by Henry McKean,Victor Moll

by Richard

Rated 4.04 of 5 – based on 4 votes