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)
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Front Matter
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A Few Fundamentals
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Some Simple Applications
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Congruences and the Like
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Residues and Diffraction
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Chinese and Other Fast Algorithms
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Pseudoprimes, Möbius Transform, and Partitions
Keywords
About this book
"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 fourth 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.
From reviews of 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
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
From the reviews of the fourth edition:
"This is the fourth edition of the classical title Number theory in Science and Communication written by a physicist … . The book intends to be self-contained and the definitions and materials of Number theory are introduced and studied when they are needed, always with a view to showing their relationship and applications in the ‘real world’. References to the contents of each chapter are provided at the end of the book." (Juan Tena Ayuso, Zentralblatt MATH, Vol. 1084, 2006)
Authors and Affiliations
Bibliographic Information
Book Title: Number Theory in Science and Communication
Book Subtitle: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Authors: Manfred R. Schroeder
Series Title: Springer Series in Information Sciences
DOI: https://doi.org/10.1007/b137861
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
eBook ISBN: 978-3-540-26598-6Published: 06 January 2006
Series ISSN: 0720-678X
Edition Number: 4
Number of Pages: XXVI, 367
Number of Illustrations: 95 b/w illustrations, 4 illustrations in colour
Topics: Number Theory, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Coding and Information Theory, Probability Theory and Stochastic Processes