Algebraic Theory of Quadratic Numbers is popular PDF and ePub book, written by Mak Trifković in 2013-09-14, 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, Algebraic Theory of Quadratic Numbers can be Read Online from any device for your convenience.
Algebraic Theory of Quadratic Numbers Book PDF Summary
By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory.
Detail Book of Algebraic Theory of Quadratic Numbers PDF
- Author : Mak Trifković
- Release : 14 September 2013
- Publisher : Springer Science & Business Media
- ISBN : 9781461477174
- Genre : Mathematics
- Total Page : 206 pages
- Language : English
- PDF File Size : 17,6 Mb
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