Quadratic Number Fields is popular PDF and ePub book, written by Franz Lemmermeyer in 2021-09-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Quadratic Number Fields can be Read Online from any device for your convenience.
Quadratic Number Fields Book PDF Summary
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.
Detail Book of Quadratic Number Fields PDF
- Author : Franz Lemmermeyer
- Release : 18 September 2021
- Publisher : Springer Nature
- ISBN : 9783030786526
- Genre : Mathematics
- Total Page : 348 pages
- Language : English
- PDF File Size : 19,6 Mb
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