Quadratic Number Fields (häftad)
Fler böcker inom
Format
Häftad (Paperback / softback)
Språk
Tyska
Antal sidor
343
Utgivningsdatum
2021-09-19
Upplaga
1st ed. 2021
Förlag
Springer Nature Switzerland AG
Originalspråk
German
Illustrationer
8 Illustrations, color; 8 Illustrations, black and white; XI, 343 p. 16 illus., 8 illus. in color.
Dimensioner
234 x 156 x 19 mm
Vikt
499 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783030786519

Quadratic Number Fields

Häftad,  Tyska, 2021-09-19
470
Billigast på PriceRunner
  • Skickas från oss inom 7-10 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.
Visa hela texten

Passar bra ihop

  1. Quadratic Number Fields
  2. +
  3. Maria Thun Biodynamic Calendar: 2024

De som köpt den här boken har ofta också köpt Maria Thun Biodynamic Calendar: 2024 av Titia Thun, Friedrich Thun (häftad).

Köp båda 2 för 609 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av Franz Lemmermeyer

Recensioner i media

This is a wonderful, well-written introduction to modern algebraic number theory that has been made accessible to a broad undergraduate audience through the authors restriction to quadratic number fields. Historically motivated, it shows how algebraic number theory has evolved over time and depicts it as living and breathing, not as a field that became static in the late 19th century. (Benjamin Linowitz, MAA Reviews, November 21, 2023) The book is very nicely written and the original style and choices of the topics make it agreeable reading, and might well complement and motivate the study of other classical introductions to the theory of more general number fields. (Alessandro Cobbe, zbMATH 1498.11003, 2022)

Övrig information

Franz Lemmermeyer has worked in algebraic number theory and has published several books on the history of number theory, in particular on reciprocity laws.

Innehållsförteckning

1. Prehistory.- 2 Quadratic Number Fields.- 3 The Modularity Theorem.- 4 Divisibility in Integral Domains.- 5 Arithmetic in some Quadratic Number Fields.- 6 Ideals in Quadratic Number Fields.- 7 The Pell Equation.- 8 Catalan's Equation.- 9 Ambiguous Ideal Classes and Quadratic Reciprocity.- 10 Quadratic Gauss Sums.- A Computing with Pari and Sage.- B Solutions.- Bibliography.- Name Index.- Subject Index.