Quadratic Number Theory An Invitation to Algebraic Methods in the Higher Arithmetic is popular PDF and ePub book, written by J. L. Lehman in 2019-02-13, it is a fantastic choice for those who relish reading online the Algebraic fields genre. Let's immerse ourselves in this engaging Algebraic fields book by exploring the summary and details provided below. Remember, Quadratic Number Theory An Invitation to Algebraic Methods in the Higher Arithmetic can be Read Online from any device for your convenience.
Quadratic Number Theory An Invitation to Algebraic Methods in the Higher Arithmetic Book PDF Summary
Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. By restricting attention to questions about squares the author achieves the dual goals of making the presentation accessible to undergraduates and reflecting the historical roots of the subject. The representation of integers by quadratic forms is emphasized throughout the text. Lehman introduces an innovative notation for ideals of a quadratic domain that greatly facilitates computation and he uses this to particular effect. The text has an unusual focus on actual computation. This focus, and this notation, serve the author's historical purpose as well; ideals can be seen as number-like objects, as Kummer and Dedekind conceived of them. The notation can be adapted to quadratic forms and provides insight into the connection between quadratic forms and ideals. The computation of class groups and continued fraction representations are featured—the author's notation makes these computations particularly illuminating. Quadratic Number Theory, with its exceptionally clear prose, hundreds of exercises, and historical motivation, would make an excellent textbook for a second undergraduate course in number theory. The clarity of the exposition would also make it a terrific choice for independent reading. It will be exceptionally useful as a fruitful launching pad for undergraduate research projects in algebraic number theory.
Detail Book of Quadratic Number Theory An Invitation to Algebraic Methods in the Higher Arithmetic PDF
- Author : J. L. Lehman
- Release : 13 February 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470447373
- Genre : Algebraic fields
- Total Page : 394 pages
- Language : English
- PDF File Size : 18,7 Mb
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