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

Schroeder, Manfred Robert

4.06

18 ratings by Goodreads

9780387158006: Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity (Springer Series in Information Sciences)

Softcover

ISBN 10: 0387158006 ISBN 13: 9780387158006

Publisher: Springer Verlag, 1986

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"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

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Review:

From reviews of an earlier editions

"I continue to find �Schroeders� 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)

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)

From reviews of an earlier editions a"

"I continue to find [Schroedera (TM)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.a (TM) 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 a" 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 a ] . 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 a ~real worlda (TM). References to the contents of each chapter are provided at the end of the book." (Juan Tena Ayuso, Zentralblatt MATH, Vol. 1084, 2006)

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