Springer Undergraduate Mathematics Series

Galois Theory Through Exercises

Autoren: Brzeziński, Juliusz

Vorschau
  • Provides a hands-on approach to learning Galois theory, focusing on problem-solving exercises
  • Features almost 500 exercises with hints, answers or solutions
  • Includes Maple tutorials and exercises
Weitere Vorteile

Dieses Buch kaufen

eBook 28,88 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-72326-6
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 37,44 €
Preis für Deutschland (Brutto)
Über dieses Lehrbuch

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.

Über die Autor*innen

Juliusz Brzeziński 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.

Stimmen zum Buch

“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)

Inhaltsverzeichnis (19 Kapitel)

Inhaltsverzeichnis (19 Kapitel)

Dieses Buch kaufen

eBook 28,88 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-72326-6
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 37,44 €
Preis für Deutschland (Brutto)
Loading...

Wir empfehlen

Loading...

Bibliografische Information

Bibliographic Information
Buchtitel
Galois Theory Through Exercises
Autoren
Titel der Buchreihe
Springer Undergraduate Mathematics Series
Copyright
2018
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-72326-6
DOI
10.1007/978-3-319-72326-6
Softcover ISBN
978-3-319-72325-9
Buchreihen ISSN
1615-2085
Auflage
1
Seitenzahl
XVII, 293
Anzahl der Bilder
12 schwarz-weiß Abbildungen
Themen