Overview
- Excellent introduction to the field
- Suited for the non-specialist
- Very successful book now in a completely revised new edition
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (32 chapters)
-
Front Matter
-
A Few Fundamentals
-
Front Matter
-
-
Some Simple Applications
-
Front Matter
-
-
Congruences and the Like
-
Front Matter
-
-
Cryptography and Divisors
-
Front Matter
-
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, pseudo primes 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.
From reviews of earlier editions –
"I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvelous 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 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)
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 Schroeder
DOI: https://doi.org/10.1007/978-3-540-85298-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-540-85297-1Published: 06 November 2008
Softcover ISBN: 978-3-642-09901-4Published: 06 November 2010
eBook ISBN: 978-3-540-85298-8Published: 14 November 2008
Edition Number: 5
Number of Pages: XXIV, 431
Additional Information: Originally published as volume 7 in the series: Springer Series in Information Sciences
Topics: Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Coding and Information Theory, Probability Theory and Stochastic Processes, Number Theory