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Elementary Number Theory (Hardcover)
Loot Price: R2,631
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Elementary Number Theory (Hardcover)
Expected to ship within 12 - 17 working days
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Elementary Number Theory takes an accessible approach to teaching
students about the role of number theory in pure mathematics and
its important applications to cryptography and other areas. The
first chapter of the book explains how to do proofs and includes a
brief discussion of lemmas, propositions, theorems, and
corollaries. The core of the text covers linear Diophantine
equations; unique factorization; congruences; Fermat's, Euler's,
and Wilson's theorems; order and primitive roots; and quadratic
reciprocity. The authors also discuss numerous cryptographic
topics, such as RSA and discrete logarithms, along with recent
developments. The book offers many pedagogical features. The "check
your understanding" problems scattered throughout the chapters
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.
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