Title
Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19),New
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Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular ngons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e and p, cyclotomic polynomials, polynomials over the integers, Hilbert's irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.
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- Q: What is the main focus of 'Field Theory and Its Classical Problems'? A: The book primarily focuses on Galois theory, exploring historical geometric construction problems, the properties of roots of unity, and the solvability of polynomial equations by radicals.
- Q: Is any prior knowledge of algebra required to understand this book? A: No, the book is designed for readers without any previous knowledge of algebra, making it accessible to a broad audience.
- Q: What notable topics are covered in this book? A: Key topics include the transcendence of e and π, cyclotomic polynomials, polynomials over the integers, and Hilbert's irreducibility theorem, among others.
- Q: What type of binding does this book have? A: The book is bound in hardcover, providing durability for repeated use.
- Q: How many pages does 'Field Theory and Its Classical Problems' contain? A: The book contains a total of 323 pages.
- Q: What condition is the used book in? A: The book is described as being in good condition, indicating it has been gently used.
- Q: Who is the author of this book? A: The author of 'Field Theory and Its Classical Problems' is Charles Robert Hadlock.
- Q: When was 'Field Theory and Its Classical Problems' published? A: The book was published on January 1, 1978.
- Q: Are complete solutions provided for the problems in the book? A: Yes, the book includes complete solutions to all problems presented within its chapters.
- Q: Does the book include historical and bibliographical notes? A: Yes, it features historical and bibliographical notes that complement the main text.