Introduction to Number Theory
Introduction to Number Theory - David Hogarth,Anthony Vazzana Nedostupné

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Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth… Přejít na celý popis

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Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments.

Ideal for a one- or two-semester undergraduate-level course, this Second Edition:

Features a more flexible structure that offers a greater range of options for course designAdds new sections on the representations of integers and the Chinese remainder theoremExpands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica® and Maple™, online via a robust, author-maintained websiteIncludes a solutions manual with qualifying course adoption

By tackling both fundamental and advanced subjects—and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding—Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.

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Nakladatel
Taylor & Francis Ltd
Rozměr
233 x 156 x 27
jazyk
angličtina
Vazba
měkká vazba
Hmotnost
634 g
isbn
978-1-03-292008-5
Počet stran
426
datum vydání
14.10.2024
ean
9781032920085

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