A01=Richard A. Mollin
Algebraic Integer
Ambiguous Class
Author_Richard A. Mollin
Canonical Prime Factorization
Category=PBCD
Category=PBH
Category=PBV
Class Number
Color Theorem
Consecutive Powers
Continued Fraction
Continued Fraction Algorithm
Continued Fraction Expansion
Discrete Log Problem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fundamental Discriminant
Odd Prime
Powerful Numbers
Primitive Ideal
Primitive Root Modulo
Proper Divisor
Public Key Cryptosystems
Quadratic Fields
Quadratic Residue Modulo
Rational Integer
Real Quadratic Field
Riemann Hypotheses
RSA Cryptosystem
Single Integer
Symmetric Cryptosystems
Product details
- ISBN 9780367401528
- Weight: 748g
- Dimensions: 178 x 254mm
- Publication Date: 11 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footnotes give an historical background to the text, in addition to providing deeper applications of the concept that is being cited. This allows the browser to look more deeply into the history or to pursue a given sideline. Those who are only marginally interested in the area will be able to read the text, pick up information easily, and be entertained at the same time by the historical and philosophical digressions. It is rich in structure and motivation in its concentration upon quadratic orders.
This is not a book that is primarily about tables, although there are 80 pages of appendices that contain extensive tabular material (class numbers of real and complex quadratic fields up to 104; class group structures; fundamental units of real quadratic fields; and more!). This book is primarily a reference book and graduate student text with more than 200 exercises and a great deal of hints!
The motivation for the text is best given by a quote from the Preface of Quadratics: "There can be no stronger motivation in mathematical inquiry than the search for truth and beauty. It is this author's long-standing conviction that number theory has the best of both of these worlds. In particular, algebraic and computational number theory have reached a stage where the current state of affairs richly deserves a proper elucidation. It is this author's goal to attempt to shine the best possible light on the subject."
Mollin, Richard A.
