Galois Theory, 2nd Edition,Used

Galois Theory, 2nd Edition,Used

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Galois theory is a fascinating mixture of classical and modern mathematics, and in fact provided much of the seed from which abstract algebra has grown. It is a showpiece of mathematical unification and of 'technology transfer' to a range of modern applications.Galois Theory, Second Edition is a revision of a wellestablished and popular text. The author's treatment is rigorous, but motivated by discussion and examples. He further lightens the study with entertaining historical notes including a detailed description of variste Galois' turbulent life. The application of the Galois group to the quintic equation stands as a central theme of the book. Other topics include the problems of trisecting the angle, duplicating the cube, squaring the circle, solving cubic and quartic equations, and the construction of regular polygonsFor this edition, the author added an introductory overview, a chapter on the calculation of Galois groups, further clarification of proofs, extra motivating examples, and modified exercises. Photographs from Galois' manuscripts and other illustrations enhance the engaging historical context offered in the first edition.Written in a lively, highly readable style while sacrificing nothing to mathematical rigor, Galois Theory remains accessible to intermediate undergraduate students and an outstanding introduction to some of the intriguing concepts of abstract algebra.

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Frequently Asked Questions

  • Q: What is Galois Theory about? A: Galois Theory explores the relationship between field theory and group theory, focusing on the solvability of polynomial equations. It highlights the Galois group's role in understanding the roots of polynomials and their symmetries.
  • Q: Who is the author of Galois Theory, 2nd Edition? A: The author of Galois Theory, 2nd Edition is Ian Stewart, a renowned mathematician recognized for his contributions to mathematical education and popularization of mathematics.
  • Q: Is Galois Theory, 2nd Edition suitable for beginners? A: While Galois Theory is primarily aimed at intermediate undergraduate students, its engaging writing style and historical context can also benefit motivated beginners with some background in algebra.
  • Q: How many pages does Galois Theory, 2nd Edition have? A: Galois Theory, 2nd Edition consists of 202 pages, providing a comprehensive overview of the subject while remaining accessible.
  • Q: What are the main topics covered in Galois Theory, 2nd Edition? A: The book covers various topics including the Galois group, solving cubic and quartic equations, trisecting the angle, duplicating the cube, squaring the circle, and constructing regular polygons.
  • Q: What improvements were made in the 2nd Edition of Galois Theory? A: The 2nd Edition includes an introductory overview, a chapter on calculating Galois groups, clearer proofs, additional examples, and modified exercises for enhanced learning.
  • Q: What is the binding type of Galois Theory, 2nd Edition? A: Galois Theory, 2nd Edition is available in paperback binding, making it portable and suitable for studying on the go.
  • Q: When was Galois Theory, 2nd Edition published? A: Galois Theory, 2nd Edition was published on May 15, 1990, and has since been a valuable resource in the field of algebra.
  • Q: What is the condition of the item? A: Galois Theory, 2nd Edition is listed in good condition, indicating that it has been well-maintained and is suitable for reading and study.
  • Q: Are there any historical notes included in Galois Theory, 2nd Edition? A: Yes, the book features entertaining historical notes, including insights into Évariste Galois' life, which enrich the understanding of the mathematical concepts presented.