Galois Theory For Beginners: A Historical Perspective (Student Matehmatical Library, 35)

Galois Theory For Beginners: A Historical Perspective (Student Matehmatical Library, 35)

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Galois Theory Is The Culmination Of A Centurieslong Search For A Solution To The Classical Problem Of Solving Algebraic Equations By Radicals. In This Book, Bewersdorff Follows The Historical Development Of The Theory, Emphasizing Concrete Examples Along The Way. As A Result, Many Mathematical Abstractions Are Now Seen As The Natural Consequence Of Particular Investigations. Few Prerequisites Are Needed Beyond General College Mathematics, Since The Necessary Ideas And Properties Of Groups And Fields Are Provided As Needed. Results In Galois Theory Are Formulated First In A Concrete, Elementary Way, Then In The Modern Form. Each Chapter Begins With A Simple Question That Gives The Reader An Idea Of The Nature And Difficulty Of What Lies Ahead. The Applications Of The Theory To Geometric Constructions, Including The Ancient Problems Of Squaring The Circle, Duplicating The Cube, And Trisecting An Angle, And The Construction Of Regular $N$Gons Are Also Presented. This Book Is Suitable For Undergraduates And Beginning Graduate Students.

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Frequently Asked Questions

  • Q: What is the main focus of 'Galois Theory for Beginners'? A: The book primarily focuses on introducing Galois theory through a historical perspective, aimed at advanced undergraduates and early graduate students. It covers essential topics such as groups, fields, cubic equations, and the fundamental theorem of Galois theory.
  • Q: Who is the author of this book? A: The author of 'Galois Theory for Beginners: A Historical Perspective' is Jorg Bewersdorff.
  • Q: What condition is this used book in? A: This book is classified as 'Used Book in Good Condition' and is described as being in 'Very Good' condition.
  • Q: How many pages does the book contain? A: The book contains a total of 180 pages.
  • Q: What type of binding does this book have? A: The book is available in paperback binding.
  • Q: When was 'Galois Theory for Beginners' published? A: The book was published on September 5, 2006.
  • Q: What topics are covered in the book? A: The book covers topics such as cubic equations, complex numbers, Galois groups, algebraic structures, and Galois theory, including proofs and properties of equations.
  • Q: Is there any supplementary material included with the book? A: No, the book does not come with any supplementary material.
  • Q: What is the target audience for this book? A: The target audience for this book includes advanced undergraduates and early graduate students studying mathematics.
  • Q: Does the book include examples and proofs? A: Yes, the book includes concrete examples and proofs to help readers understand the concepts of Galois theory.