Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
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From the reviews of the fifth edition:
“Number theory has been a very active field in the last twenty-seven years, and Schroeder’s text has a palimpsest quality, with later mathematical advances layered on earlier ones. ... Number Theory in Science and Communication is rewarding to browse, or as a jumping-off point for further research ... . It would be a good source of student projects in an undergraduate discrete mathematics or number theory course.” (Ursula Whitcher, The Mathematical Association of America, March, 2011)
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