Elementary Number Theory

Regular price €69.99
2nd Row
A01=James S. Kraft
A01=Lawrence C. Washington
Age Group_Uncategorized
Age Group_Uncategorized
and corollaries
and Wilson’s theorems
Author_James S. Kraft
Author_Lawrence C. Washington
automatic-update
Category1=Non-Fiction
Category=PBD
Category=PBF
Category=PBH
Category=PBV
Chinese Remainder Theorem
congruences
Congruences Mod
Continued Fraction
COP=United Kingdom
Delivery_Pre-order
Diophantine Equations
Discrete Log Problem
eq_isMigrated=2
eq_new_release
Euclidean Algorithm
Euler’s
Extended Euclidean Algorithm
Fermat’s
Fermat’s Theorem
Gimp
Goldbach’s Conjecture
Jacques Hadamard
Language_English
lemmas
linear Diophantine equations
Mersenne Primes
Mod 13
Mod 21
number theory and cryptography
number theory in pure mathematics
Odd Prime
order and primitive roots
PA=Not yet available
Pell’s Equation
Price_€50 to €100
Prime Number Theorem
Primitive Root
Primitive Root Mod
propositions
PS=Forthcoming
Pythagorean Triple
quadratic reciprocity
RSA Cryptosystem
RSA Signature Scheme
softlaunch
theorems
undergraduate course in number theory
unique factorization

Product details

  • ISBN 9781032920351
  • Weight: 760g
  • Dimensions: 156 x 234mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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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.

James S. Kraft teaches mathematics at the Gilman School. He has previously taught at the University of Rochester, St. Mary’s College of California, and Ithaca College. He has also worked in communications security. Dr. Kraft has published several research papers in algebraic number theory. He received his Ph.D. from the University of Maryland.

Lawrence C. Washington is a professor of mathematics and Distinguished Scholar-Teacher at the University of Maryland. Dr. Washington has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. He received his Ph.D. from Princeton University.