£164.84

CRC Press Algebraic Numbers and Algebraic Functions Book

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Description

Explore the fundamental connections between algebraic numbers and algebraic functions of one variable with this comprehensive text from CRC Press. Using the elegant approach of E Artin via valuations, this book provides a unified development for both subjects, making it an essential resource for mathematics students and researchers. In the realm of number theory, the text progresses through the unit theorem and the finiteness of the class number. For those studying function theory, the material focuses on the Abel-Jacobi theorem to describe the divisor class group, supplemented by geometric insights to aid your understanding. This book is designed for readers who have completed an undergraduate course in algebra and possess a basic acquaintance with topology and complex function theory. It serves as a clear introduction to advanced mathematical concepts, bridging the gap between foundational knowledge and higher-level theory.

Key Features

Unified approach using E Artin's method of valuations to develop both algebraic numbers and algebraic functions of one variable.

Comprehensive coverage of number theory including the unit theorem and the finiteness of the class number.

Detailed study of function theory focusing on the Abel-Jacobi theorem and the divisor class group.

Includes geometric perspectives to help clarify and support the understanding of complex theoretical concepts.

Designed for students with an undergraduate algebra background and basic knowledge of topology and complex function theory.

Product Specifications

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

Barcode

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