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Galois Theory Through Exercises (Paperback, 1st ed. 2018)
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Galois Theory Through Exercises (Paperback, 1st ed. 2018)
Series: Springer Undergraduate Mathematics Series
Expected to ship within 9 - 15 working days
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This textbook offers a unique introduction to classical Galois
theory through many concrete examples and exercises of varying
difficulty (including computer-assisted exercises). In addition to
covering standard material, the book explores topics related to
classical problems such as Galois' theorem on solvable groups of
polynomial equations of prime degrees, Nagell's proof of
non-solvability by radicals of quintic equations, Tschirnhausen's
transformations, lunes of Hippocrates, and Galois' resolvents.
Topics related to open conjectures are also discussed, including
exercises related to the inverse Galois problem and cyclotomic
fields. The author presents proofs of theorems, historical comments
and useful references alongside the exercises, providing readers
with a well-rounded introduction to the subject and a gateway to
further reading. A valuable reference and a rich source of
exercises with sample solutions, this book will be useful to both
students and lecturers. Its original concept makes it particularly
suitable for self-study.
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