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Number Theory in Science and Communication

With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity

  • Textbook
  • © 1997

Overview

  • Excellent introduction to the field
  • Suited for the non-specialist
  • Very successful book now in a completely revised new edition
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Information Sciences (SSINF, volume 7)

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Table of contents (30 chapters)

  1. A Few Fundamentals

  2. Some Simple Applications

  3. Congruences and the Like

  4. Cryptography and Divisors

  5. Residues and Diffraction

  6. Chinese and Other Fast Algorithms

  7. Pseudoprimes, Möbius Transform, and Partitions

Keywords

About this book

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.

Reviews

From reviews of an earlier editions –

"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

Authors and Affiliations

  • Drittes Physikalisches Institut, Universität Göttingen, Göttingen, Germany

    Manfred R. Schroeder

  • Bell Laboratories, Acoustics Speech and Mechanics Research, Murray Hill, USA

    Manfred R. Schroeder

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