Title
Algebraic Equations: An Introduction To The Theories Of Lagrange And Galois (Dover Books On Mathematics)
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Meticulous And Complete, This Presentation Of Galois' Theory Of Algebraic Equations Is Geared Toward Upperlevel Undergraduate And Graduate Students. The Theories Of Both Lagrange And Galois Are Developed In Logical Rather Than Historical Form And Given A Thorough Exposition. For This Reason, Algebraic Equations Is An Excellent Supplementary Text, Offering Students A Concrete Introduction To The Abstract Principles Of Galois Theory. Of Further Value Are The Many Numerical Examples Throughout The Book, Which Appear With Complete Solutions.A Third Of The Text Focuses On The Basic Ideas Of Algebraic Theory, Giving Detailed Explanations Of Integral Functions, Permutations, And Group In Addition To A Very Clear Exposition Of The Symmetric Group And Its Functions. A Study Of The Theory Of Lagrange Follows. After A Discussion Of Various Groups (Including Isomorphic, Transitive, And Abelian Groups), A Detailed Study Of Galois Theory Covers The Properties Of The Galoisian Function, The General Equation, Reductions Of The Group, Natural Irrationality, And Other Features. The Book Concludes With The Application Of Galoisian Theory To The Solution Of Such Special Equations As Abelian, Cyclic, Metacyclic, And Quintic Equations.
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- Q: What is the page count of the book? A: This book contains two hundred twenty-four pages. It provides a detailed exploration of algebraic equations and theories.
- Q: What type of binding does this book have? A: This book has a paperback binding. This makes it lightweight and flexible for easy handling.
- Q: What are the dimensions of the book? A: The book measures five point seven five inches in length, one inch in width, and eight point seven five inches in height. These dimensions make it portable and easy to store.
- Q: What level of students is this book suitable for? A: This book is geared toward upper-level undergraduate and graduate students. It provides a solid introduction to advanced algebraic concepts.
- Q: Can beginners understand this book? A: No, this book is not suitable for beginners. It assumes a foundational knowledge of algebra and related mathematical theories.
- Q: How does one apply the concepts from this book? A: To apply the concepts, readers should engage with the numerous numerical examples provided in the text. These examples illustrate the theories of Lagrange and Galois in practical terms.
- Q: Is this book useful for self-study? A: Yes, this book serves as an excellent supplementary text for self-study. The thorough exposition of concepts aids in independent learning.
- Q: What topics does the book cover? A: The book covers topics including integral functions, permutations, group theory, and Galois theory. It also discusses various groups and their properties in detail.
- Q: How do I keep this book in good condition? A: To keep this book in good condition, store it in a cool, dry place and avoid exposing it to direct sunlight. Handle it with clean hands to prevent dirt and oil from damaging the pages.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or replacement. Most reputable sellers provide customer support for such issues.
- Q: Is this book suitable for use in a classroom setting? A: Yes, this book is suitable for classroom use. It can serve as a primary or supplementary text for courses on algebra and advanced mathematics.
- Q: Are there any prerequisites for reading this book? A: Yes, a solid understanding of basic algebra is recommended before reading this book. Familiarity with foundational mathematical concepts will enhance comprehension.
- Q: What is the main focus of the book? A: The main focus of the book is to present Galois' theory of algebraic equations. It emphasizes logical development over historical context.
- Q: Who is the author of this book? A: The author of this book is Edgar Dehn. His expertise in mathematics contributes to the depth of the material presented.
- Q: Is this book part of a series? A: Yes, this book is part of the Dover Books on Mathematics series. This series includes various titles that cover different mathematical topics.