Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences) - Hardcover

Schroeder, M.R.

Hardcover

ISBN 10: 3540265961 ISBN 13: 9783540265962

Publisher: Springer, 2005

Synopsis

"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

About this title

About the Author

Manfred R. Schroeder served as a distinguished member and Director of Research at AT&T Bell Laboratories for 33 years. In 1969 he became a professor of physics at the University of Gottingen, Germany.

Review

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)

Edition details

• Publisher: Springer
• Publication date: 2005
• Language: English
• ISBN 10: 3540265961
• ISBN 13: 9783540265962
• Binding: Hardcover
• Edition number: 4
• Number of pages: 367