Springer Series in Information Sciences

Number Theory in Science and Communication

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

Authors: Schroeder, M.R.

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  • ISBN 978-3-540-26598-6
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About this Textbook

"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)


Table of contents (2 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-540-26598-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Number Theory in Science and Communication
Book Subtitle
With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Authors
Series Title
Springer Series in Information Sciences
Series Volume
7
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-26598-6
DOI
10.1007/b137861
Series ISSN
0720-678X
Edition Number
4
Number of Pages
XXVI, 367
Number of Illustrations and Tables
95 b/w illustrations, 4 illustrations in colour
Topics