Download e-book for kindle: A Comprehensive Course in Number Theory by Alan Baker

By Alan Baker

constructed from the author's well known textual content, A Concise creation to the idea of Numbers, this ebook presents a accomplished initiation to all of the significant branches of quantity thought. starting with the rudiments of the topic, the writer proceeds to extra complex subject matters, together with parts of cryptography and primality trying out, an account of quantity fields within the classical vein together with houses in their devices, beliefs and excellent periods, elements of analytic quantity idea together with experiences of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, an outline of the Hardy-Littlewood and sieve equipment from respectively additive and multiplicative quantity concept and an exposition of the mathematics of elliptic curves. The publication comprises many labored examples, workouts and additional examining. Its wider insurance and flexibility make this ebook compatible for classes extending from the uncomplicated to starting graduate studies.

Show description

Read or Download A Comprehensive Course in Number Theory PDF

Similar number theory books

Jayce Getz,Mark Goresky's Hilbert Modular Forms with Coefficients in Intersection PDF

Within the Seventies Hirzebruch and Zagier produced elliptic modular varieties with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those varieties when it comes to interval integrals and L-functions. during this e-book the authors take an alternative method of those theorems and generalize them to the surroundings of Hilbert modular kinds of arbitrary measurement.

Zeta Functions over Zeros of Zeta Functions: 8 (Lecture by André Voros PDF

During this textual content, the recognized zeros of the Riemann zeta functionality and its generalizations (L-functions, Dedekind and Selberg zeta functions)are analyzed via a number of zeta features equipped over these zeros.

Computations with Modular Forms: Proceedings of a Summer - download pdf or read online

This quantity comprises unique examine articles, survey articles and lecture notes regarding the Computations with Modular types 2011 summer season university and convention, held on the collage of Heidelberg. A key subject matter of the convention and summer time college was once the interaction among conception, algorithms and test.

New PDF release: Posn(R) and Eisenstein Series (Lecture Notes in Mathematics)

Posn(R) and Eisenstein sequence offers an advent, requiring minimum must haves, to the research on symmetric areas of confident yes genuine matrices in addition to quotients of this area via the unimodular staff of imperative matrices. The method is gifted in very classical phrases and contains fabric on exact services, particularly gamma and Bessel capabilities, and specializes in sure mathematical elements of Eisenstein sequence.

Additional resources for A Comprehensive Course in Number Theory

Sample text

Download PDF sample

A Comprehensive Course in Number Theory by Alan Baker

by James

Rated 4.04 of 5 – based on 26 votes