Galois Theory Through Exercises / Springer Undergraduate Mathematics Series (PDF)

Name: Galois Theory Through Exercises / Springer Undergraduate Mathematics Series
Brand: Springer-Verlag GmbH
SKU: 102836118
Price: 17.00 CHF
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(Sprache: Englisch)

Autor: Juliusz Brzezinski

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Galois Theory Through Exercises / Springer Undergraduate Mathematics Series, Juliusz Brzezinski

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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...

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Produktinformationen zu „Galois Theory Through Exercises / Springer Undergraduate Mathematics Series (PDF)“

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.

Autoren-Porträt von Juliusz Brzezinski

Juliusz Brzezinski is Professor Emeritus at the Department of Mathematical Sciences, which is a part of the University of Gothenburg and the Chalmers University of Technology, Sweden. His research concentrates on interactions between number theory, algebra and geometry of orders in algebras over global fields, in particular, in quaternion algebras. He is also interested in experimental number theory.

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Autor: Juliusz Brzezinski
2018, 1st ed. 2018, 293 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 331972326X
ISBN-13: 9783319723266
Erscheinungsdatum: 21.03.2018

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Dateiformat: PDF
Grösse: 4.28 MB
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Englisch

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“This book contains a collection of exercises in Galois theory. … The book provides the readers with a solid exercise-based introduction to classical Galois theory; it will be useful for self-study or for supporting a lecture course.” (Franz Lemmermeyer, zbMATH 1396.12001, 2018)

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