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Galois Theory (Universitext),New
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The first edition aimed to give a geodesic path to the Fundamental Theorem of Galois Theory, and I still think its brevity is valuable. Alas, the book is now a bit longer, but I feel that the changes are worthwhile. I began by rewriting almost all the text, trying to make proofs clearer, and often giving more details than before. Since many students find the road to the Fundamental Theorem an intricate one, the book now begins with a short section on symmetry groups of polygons in the plane; an analogy of polygons and their symmetry groups with polynomials and their Galois groups can serve as a guide by helping readers organize the various definitions and constructions. The exposition has been reorganized so that the discussion of solvability by radicals now appears later; this makes the proof of the AbelRuffini theo rem easier to digest. I have also included several theorems not in the first edition. For example, the Casus Irreducibilis is now proved, in keeping with a historical interest lurking in these pages.
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- Q: What is the main focus of 'Galois Theory (Universitext)'? A: The book primarily focuses on providing a clear path to understanding the Fundamental Theorem of Galois Theory, with detailed proofs and explanations.
- Q: Who is the author of this book? A: The author of 'Galois Theory (Universitext)' is Joseph Rotman.
- Q: How many pages does the book contain? A: The book contains 157 pages.
- Q: Is this book suitable for beginners in Galois Theory? A: Yes, the book begins with introductory material on symmetry groups, making it accessible for beginners.
- Q: What edition of the book is available? A: This is the 2nd edition of 'Galois Theory (Universitext)', published on October 1, 1998.
- Q: What type of binding does this book have? A: The book is available in paperback binding.
- Q: Are there any new theorems included in this edition? A: Yes, the 2nd edition includes several new theorems, such as the proof of the Casus Irreducibilis.
- Q: What is the condition of the book? A: The book is in new condition.
- Q: Can this book help with understanding solvability by radicals? A: Yes, the discussion on solvability by radicals is presented later in the book, aiding comprehension.
- Q: Is there any historical context provided in the book? A: Yes, the book includes historical insights related to Galois Theory, enhancing the reader's understanding.