Number Theory in Science and Communication
With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
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Beschreibung
"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
"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
Excellent introduction to the field
Suited for the non-specialist
Very successful book now in a completely revised new edition
This is the revised and expanded edition of a very popular introduction to number theory for non-mathematicians. The book 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. The revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintuplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
Autor*in
M.R. Schroeder
Themen in »Number Theory in Science and Communication«
Coding Congruance Encryption Euler Fermat Galois field Möbius Polynominals Prime Primes Pseudoprimes Random Generator Random Number number theory
Stimmen zu »Number Theory in Science and Communication«
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)
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