Introduction to Galois Theory (Springer Undergraduate Mathematics Series) - Image 1

£39.34

Springer Introduction to Galois Theory (Springer Undergraduate Mathematics Series)

Name: Introduction to Galois Theory (Springer Undergraduate Mathematics Series)
Brand: Springer
Price: 44.99 GBP
Availability: InStock

Algebra

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Description

This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone considerable development. It remains an extremely active research subject and has found numerous applications beyond pure mathematics. In this book, the authors introduce Galois theory from a contemporary point of view. In particular, modern methods such as reduction modulo prime numbers and finite fields are introduced and put to use. Beyond the usual applications of ruler and compass constructions and solvability by radicals, the book also includes topics such as the transcendence of e and π, the inverse Galois problem, and infinite Galois theory. Based on courses of the authors at the École Polytechnique, the book is aimed at students with a standard undergraduate background in (mostly linear) algebra. It includes a collection of exam questions in the form of review exercises, with detailed solutions.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3031661818
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 October 2024
Listed Since: 13 June 2024

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Springer Introduction to Galois Theory (Springer Undergraduate Mathematics Series)

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