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Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Preview — Galois Theory by Joseph Rotman. Galois Theory by Joseph Rotman. A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics.
Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, th A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics.
Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions.
The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included.
Get A Copy. Paperback , pages. Published July 27th by Springer first published More Details Original Title. Other Editions 3. Friend Reviews. To see what your friends thought of this book, please sign up.
To ask other readers questions about Galois Theory , please sign up. Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Average rating 4. Rating details. More filters. Sort order. Start your review of Galois Theory. Nov 06, Gobinda Chandra rated it it was amazing. Dec 26, Robert rated it really liked it Shelves: science.
I am actually not sure if this is the best introduction to this topic. It's probably a little bit too light if you're looking to go more in depth, but it's ok as an introduction. Apr 29, Michael added it Shelves: undergrad , math , nonfiction. This is fine, for a terse and unmotivated exposition of Galois Theory. But then, what's the point? If you like your Galois Theory terse and unmotivated, buy Grove's Algebra for half the price of this book, and have at Chapter 3, plus get a complete graduate course in algebra with the deal.
I think the only thing you will be missing would be the cubic and quartic formulas. Just grab those online somewhere; you can actually find some really cool derivations of them. Elvin rated it really liked it Jun 03, Sean McAfee rated it it was amazing Mar 13, George rated it liked it Jan 24, Andrew rated it it was ok Dec 10, Kamal Lrs rated it really liked it Jun 11, Athanasios Papakostas rated it really liked it Jan 30, Alex rated it it was amazing May 19, Rollin Hand rated it really liked it Jan 15, Darryl rated it really liked it Jan 24, Cathy rated it really liked it Jan 01, Kostas rated it liked it Aug 04, Mare rated it it was amazing Jun 07, Kohimsy added it Oct 17, Ryan Dean marked it as to-read Jul 17, Mahmoud elsaby marked it as to-read Nov 05, Oscar added it Feb 18, Brayan added it Apr 15, Gerardo added it Apr 29, Julie marked it as to-read Jan 16, Ray Nowell added it Sep 11, Fahim Kouraichi marked it as to-read Jul 10, Kenny Thomas added it Aug 09, Jeremiah marked it as to-read Jul 29, Schalotte marked it as to-read Oct 30, Robert D-T.
CHAU marked it as to-read Nov 18, Mehul Tank marked it as to-read Dec 07, Delta is currently reading it Jan 01, Giovanni a Orlando added it Feb 20, Liam marked it as to-read Jun 02, BookDB marked it as to-read Sep 20, Sajad marked it as to-read Dec 22, Kevin added it Mar 01, Aravind Natarajan is currently reading it May 27, There are no discussion topics on this book yet. About Joseph Rotman. Joseph Rotman. Books by Joseph Rotman. Related Articles. For more than a decade, Neil deGrasse Tyson, the world-renowned astrophysicist and host of the popular radio and Emmy-nominated televi Read more Trivia About Galois Theory.
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It seems that you're in Germany. We have a dedicated site for Germany. This text offers a clear, efficient exposition of Galois Theory with exercises and complete proofs. Topics include: Cardano's formulas; the Fundamental Theorem; Galois' Great Theorem solvability for radicals of a polynomial is equivalent to solvability of its Galois Group ; and computation of Galois group of cubics and quartics. There are appendices on group theory and on ruler-compass constructions.