Fundamental number theory with applications. 2nd ed. (English) Zbl 1175.11001
Discrete Mathematics and its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4200-6659-3/hbk). x, 369 p. (2008).
The second edition of this very interesting book includes a revision of its contents and a pledge for the publication of a second volume with advanced material for a second course in number theory. The new structure of this book consists of seven chapters: Arithmetic of the integers, modular arithmetic, primitive roots, quadratic residues, simple continued fractions and Diophantine approximation, additivity - sums of powers and Diophantine equations.
Each chapter includes many interesting applications and the book concludes with six significant appendices, solutions, bibliography and a list of symbols.
For the review of the first edition (1998) see Zbl 0943.11001.
Each chapter includes many interesting applications and the book concludes with six significant appendices, solutions, bibliography and a list of symbols.
For the review of the first edition (1998) see Zbl 0943.11001.
Reviewer: Panayiotis Vlamos (Athens)
MSC:
11-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory |
11Axx | Elementary number theory |
11Dxx | Diophantine equations |
11A07 | Congruences; primitive roots; residue systems |
11A15 | Power residues, reciprocity |
11A55 | Continued fractions |
11Y11 | Primality |