"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It 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 are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography.
"I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American)
"A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner
Number Theory in Science and Communication Manfred Schroeder Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity Fifth Edition 123 Prof. Dr. Manfred Schroeder Universit¨at G¨ottingen Inst. Physik III Friedrich-Hund-Platz 1 37077 G¨ottingen Germany
[email protected] Previously published in Springer Series in Information Sciences as Volume 7 ISBN: 978-3-540-85297-1 e-ISBN: 978-3-540-85298-8 DOI 10.1007/978-3-540-85298-8 Library of Congress Cont