By Henry McKean,Victor Moll

the topic of elliptic curves is without doubt one of the jewels of nineteenth-century arithmetic, originated via Abel, Gauss, Jacobi, and Legendre. This 1997 ebook offers an introductory account of the topic within the type of the unique discoverers, with references to and reviews approximately newer and smooth advancements. It combines 3 of the basic issues of arithmetic: advanced functionality concept, geometry, and mathematics. After a casual preparatory bankruptcy, the ebook follows an historic course, 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 features, the quintic, the imaginary quadratic box, and on elliptic curves. Requiring just a first acquaintance with advanced functionality idea, this booklet is a perfect creation to the topic for graduate scholars and researchers in arithmetic and physics, with many routines with tricks scattered in the course of the text.

Show description

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

Similar number theory books

New PDF release: Computations with Modular Forms: Proceedings of a Summer

This quantity includes unique examine articles, survey articles and lecture notes concerning the Computations with Modular kinds 2011 summer season institution and convention, held on the college of Heidelberg. A key subject of the convention and summer time institution was once the interaction among conception, algorithms and scan.

Arithmetic Geometry over Global Function Fields (Advanced - download pdf or read online

This quantity collects the texts of 5 classes given within the mathematics Geometry learn Programme 2009-2010 on the CRM Barcelona. them all care for attribute p international fields; the typical subject round which they're headquartered is the mathematics of L-functions (and different certain functions), investigated in numerous points.

Download e-book for kindle: Rational Points on Elliptic Curves (Undergraduate Texts in by Joseph H. Silverman,John T. Tate

The idea of elliptic curves comprises a lovely mix of algebra, geometry, research, and quantity conception. This quantity stresses this interaction because it develops the elemental idea, thereby supplying a chance for complicated undergraduates to understand the solidarity of contemporary arithmetic. whilst, each attempt has been made to take advantage of simply equipment and effects in general incorporated within the undergraduate curriculum.

Get Numberama: Recreational Number Theory in the School System PDF

Numberama: leisure quantity thought within the college procedure offers quantity styles and mathematical formulation that may be taught to youngsters in faculties. The quantity theories and difficulties are bolstered by way of stress-free video games that kids can play to reinforce their studying in a fun-loving manner. Key positive aspects of the publication include:information a couple of variety of recognized quantity conception difficulties similar to Fibonaccci numbers, triangular numbers, excellent numbers, sums of squares, and Diophantine equationsorganized presentation in keeping with ability point for simple understandingall uncomplicated mathematical operations for straight forward institution childrena variety of algebraic formulae for center institution studentsdescriptions of optimistic suggestions and testimonials the place leisure quantity conception has been potent in faculties and schooling programsThis booklet is an invaluable guide for user-friendly and middle-school academics, scholars, and fogeys who should be in a position to event the inherent joys introduced through educating quantity idea to young children in a leisure means.

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

Sample text

Download PDF sample

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


by Robert
4.2

Rated 4.98 of 5 – based on 36 votes