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CRC Press Algebraic Numbers and Algebraic Functions - CRC Press

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Description

This introduction to algebraic numbers and algebraic functions of one variable uses E Artin's elegant approach via valuations, providing a unified framework for both subjects. The number theory section develops the unit theorem and proves the finiteness of the class number, whilst the function theory section culminates in the Abel-Jacobi theorem describing the divisor class group, with geometrical insights to aid comprehension. Requiring only an undergraduate algebra course plus basic knowledge of topology and complex function theory, this CRC Press book serves as an accessible entry point to advanced mathematical theory and prepares readers for deeper study in these foundational areas of pure mathematics.

Key Features

Covers algebraic numbers and algebraic functions of one variable using a unified valuation-based approach.

Develops number theory through the unit theorem and establishes the finiteness of the class number.

Explains the Abel-Jacobi theorem describing divisor class groups with geometrical context for clarity.

Published by Chapman and Hall/CRC, a leading mathematics publisher with established academic credibility.

Accessible to students with undergraduate algebra background plus introductory topology and complex analysis knowledge.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 November 2017
Listed Since
05 January 2018

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No barcode data available

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