Introduction to number theory

Along with extensive chapters on the fundamentals, this includes material suitable for upper-level undergraduates and others with exposure to abstract algebra and analysis. The result is a nicely adaptable text useful at both the theoretical and application levels that is both interactive and suitab...

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Bibliografski detalji
Glavni autor: Erickson, Martin J.
Format: Knjiga
Jezik:Undetermined
Izdano: Boca Raton Chapman & Hall/CRC 2008
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Opis
Sažetak:Along with extensive chapters on the fundamentals, this includes material suitable for upper-level undergraduates and others with exposure to abstract algebra and analysis. The result is a nicely adaptable text useful at both the theoretical and application levels that is both interactive and suitable for use with current software. In a clever and logical system that builds from previous knowledge, this covers such core topics as divisibility and primes, congruences, cryptography, and quadratic residues, then addresses arithmetic functions, large primes, continued fractions, and diophantine equations, closing with advanced topics such as analytic number theory, elliptic curves, and the relationship between logic and number theory. The authors provide information on interfacing with Mathematica and Maple and provide web resources along with their references.