Algebraic Number Theory (Dover Books on Mathematics) - download pdf or read online

By Edwin Weiss

ISBN-10: 0486401898

ISBN-13: 9780486401898

ISBN-10: 1258663597

ISBN-13: 9781258663599

Careful association and transparent, distinctive proofs signify this methodical, self-contained exposition of easy result of classical algebraic quantity conception from a comparatively modem viewpoint. This quantity provides lots of the number-theoretic necessities for a research of both category box conception (as formulated by way of Artin and Tate) or the modern remedy of analytical questions (as came across, for instance, in Tate's thesis).
Although involved solely with algebraic quantity fields, this remedy gains axiomatic formulations with a substantial diversity of purposes. Modem summary recommendations represent the first concentration. subject matters comprise introductory fabrics on straight forward valuation concept, extension of valuations, neighborhood and usual mathematics fields, and worldwide, quadratic, and cyclotomic fields.
Subjects correspond to these often lined in a one-semester, graduate point direction in algebraic quantity idea, making this e-book perfect both for school room use or as a stimulating sequence of routines for mathematically minded individuals.

Show description

Read Online or Download Algebraic Number Theory (Dover Books on Mathematics) PDF

Similar number theory books

Download e-book for iPad: Approximation by Algebraic Numbers (Cambridge Tracts in by Yann Bugeaud

Algebraic numbers can approximate and classify any actual quantity. the following, the writer gathers jointly effects approximately such approximations and classifications. Written for a large viewers, the booklet is offered and self-contained, with whole and precise proofs. ranging from persevered fractions and Khintchine's theorem, Bugeaud introduces numerous concepts, starting from particular structures to metric quantity thought, together with the idea of Hausdorff size.

Download e-book for kindle: A First Course in Modular Forms (Graduate Texts in by Fred Diamond,Jerry Shurman

This booklet introduces the speculation of modular kinds, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as advanced 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 houses; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms.

Download e-book for iPad: The Shaping of Arithmetic after C.F. Gauss's Disquisitiones by Catherine Goldstein,Norbert Schappacher,Joachim Schwermer

Due to the fact its booklet, C. F. Gauss's Disquisitiones Arithmeticae (1801) has received a nearly legendary acceptance, status as a terrific of exposition in notation, difficulties and strategies; as a version of company and idea construction; and as a resource of mathematical notion. Eighteen authors - mathematicians, historians, philosophers - have collaborated during this quantity to evaluate the effect of the Disquisitiones, within the centuries considering its e-book.

Get Mathematical Conversations: Multicolor Problems, Problems in PDF

Combining 3 books right into a unmarried quantity, this article contains Multicolor difficulties, facing a number of of the classical map-coloring difficulties; difficulties within the idea of Numbers, an hassle-free advent to algebraic quantity idea; and Random Walks, addressing uncomplicated difficulties in chance conception.

Additional info for Algebraic Number Theory (Dover Books on Mathematics)

Sample text

Download PDF sample

Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss

by Steven

Rated 4.92 of 5 – based on 39 votes