Description
Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students' participation in the development. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. Exploratory Galois Theory includes classical applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students.
Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level.
About the Author
John Swallow is John T. Kimbrough Associate Professor of Mathematics at Davidson College, North Carolina. He holds a doctorate from Yale University, Connecticut for his work in Galois theory. He is the author or co-author of a dozen articles, including an essay in The American Scholar. His work has been supported by the National Science Foundation, the National Security Agency, and the Associated Colleges of the South.
Reviews
'The exploration-based approach to the subject is very down-to-earth, entertaining, motivating, encouraging and enlightening, making the text highly suitable for undergraduate courses, for seminars, or for self-paced independent study by interested beginners.' Zentralblatt MATH
Book Information
ISBN 9780521544993
Author John Swallow
Format Paperback
Page Count 222
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 442g
Dimensions(mm) 246mm * 194mm * 19mm
Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level.
About the Author
John Swallow is John T. Kimbrough Associate Professor of Mathematics at Davidson College, North Carolina. He holds a doctorate from Yale University, Connecticut for his work in Galois theory. He is the author or co-author of a dozen articles, including an essay in The American Scholar. His work has been supported by the National Science Foundation, the National Security Agency, and the Associated Colleges of the South.
Reviews
'The exploration-based approach to the subject is very down-to-earth, entertaining, motivating, encouraging and enlightening, making the text highly suitable for undergraduate courses, for seminars, or for self-paced independent study by interested beginners.' Zentralblatt MATH
Book Information
ISBN 9780521544993
Author John Swallow
Format Paperback
Page Count 222
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 442g
Dimensions(mm) 246mm * 194mm * 19mm
