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Elementary Number Theory
ISBN-13:
9781498702690
Veröffentl:
2014
Seiten:
411
Autor:
James S. Kraft
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This text teaches students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. Designed for a one-semester undergraduate course in number theory, the book offers many pedagogical features. "Check your understanding" problems assess whether students have learned essential information. At the end of every chapter, exercises reinforce an understanding of the material. Other exercises introduce new and interesting ideas while computer exercises reflect the kinds of explorations that number theorists often carry out in their research.
Introduction. Divisibility. Linear Diophantine Equations. Unique Factorization. Applications of Unique Factorization. Congruences. Fermat, Euler, Wilson. Cryptographic Applications. Order and Primitive Roots. More Cryptographic Applications. Quadratic Reciprocity. Primality and Factorization. Sums of Squares. Arithmetic Functions. Continued Fractions. Recent Developments. Appendices. Index.
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