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Produktbild: Number Fields

Number Fields

Aus der Reihe Universitext

49,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.07.2018

Abbildungen

XVIII, 203 p.

Verlag

Springer

Seitenzahl

203

Maße (L/B/H)

23,5/15,5/1,3 cm

Gewicht

347 g

Auflage

2nd ed. 2018

Sprache

Englisch

ISBN

978-3-319-90232-6

Beschreibung

Rezension

“This volume has stood the test of time. It is both demanding of and rewarding for anyone willing to work through it.” (C. Baxa, Monatshefte für Mathematik, Vol. 201 (2), 2023)

“It is well structured and gives the reader lots of motivation to learn more about the subject. It is one of the rare books which can help students to learn new stuff by themselves by solving the numerous exercises which cover very deep and important results … . The prerequisites for the reader are kept to a minimum making this book accessible to students at a much earlier stage than usual textbooks on algebraic number theory.”

“A book unabashedly devoted to number fields is a fabulous idea. … it goes without saying that the exercises in the book — and there are many — are of great importance and the reader should certainly do a lot of them; they are very good and add to the fabulous experience of learning this material. … it’s a wonderful book.” (Michael Berg, MAA Reviews, October 22, 2018)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.07.2018

Abbildungen

XVIII, 203 p.

Verlag

Springer

Seitenzahl

203

Maße (L/B/H)

23,5/15,5/1,3 cm

Gewicht

347 g

Auflage

2nd ed. 2018

Sprache

Englisch

ISBN

978-3-319-90232-6

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: Number Fields
  • 1: A Special Case of Fermat’s Conjecture.- 2: Number Fields and Number Rings.- 3: Prime Decomposition in Number Rings.- 4: Galois Theory Applied to Prime Decomposition.- 5: The Ideal Class Group and the Unit Group.- 6: The Distribution of Ideals in a Number Ring.- 7: The Dedekind Zeta Function and the Class Number Formula.- 8: The Distribution of Primes and an Introduction to Class Field Theory.- Appendix A: Commutative Rings and Ideals.- Appendix B: Galois Theory for Subfields of C.- Appendix C: Finite Fields and Rings.- Appendix D: Two Pages of Primes.- Further Reading.- Index of Theorems.- List of Symbols.