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
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)
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 "I continue to find
ÝSchroeders¨ 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 GardnerFrom 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)
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