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Number theory in science and communication with applications in cryptography, physics, biology, digital information, and computing

Number Theory in Science and Communication is an introduction 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 primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third 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.

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  • "Number theory in Science and Communication"
  • "Number theory in science and communication"@it

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  • ""Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics."
  • "Number Theory in Science and Communication is an introduction 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 primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third 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."@en
  • ""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."
  • "This book illustrates the application of Number Theory to practical problems in physics, digital information processing. computing, cryptography, acoustics, crystallography (quasicrystals), fractals and self-similarity. Its aim is to widen the horizon of readers with a minimum of mathematicasl training to the basic facts of number theory. The otpics treated informally, stressing intuition rather then formal proofs. The book demonstrates that there are a surprising numbe rof applications of a field which is tradiationally considered raterh abstract, and from this realization readers are led to a depp appreciation of tzhe usefulness of finite mathematics and its multi-faeted interactions with the real world. The Second Edition includes much new material on self-similarity, factals, quasicrystals, Cantor sets, Hausdorff dimensions, detemrinicstic chaos, errof-free computation, spread-spectrum communication systems, optimal ambiguity functions for radar and sonar, and Fibonacci numbers. From the reviews "A lighthearted and readable volume with a wide range of applications to which the author has been a productive contributor - useful mathematics given outside the formalities of theorem and proof. Philip Morrison - Scientific American NTS***."@en
  • ""Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography."@en

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  • "Electronic books"@en
  • "Electronic books"

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  • "Number theory in science and communication : with applications in cryptography, physics, biology, digital Information and computing"
  • "La teoria dei numeri : interrelazioni e applicazioni alle scienze"
  • "La teoria dei numeri : interrelazioni e applicazioni alle scienze"@it
  • "Number theory in science and communication : with applications in Cryptography, Physics, Digital information, Computing, and Self-similarity"
  • "Number theory in science and communication : With applications in cryptography, physics, digital information, computing, and self-similarity"
  • "Number theory in science and communication with applications in cryptography, physics, biology, digital information, and computing"@en
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing,and self-similarity"
  • "NUMBER THEORY IN SCIENCE AND COMMUNICATION : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity"@it
  • "Number theory in science and communication with applications in cryptography, physics, digital information, computing and self-similarity"
  • "Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity"@en
  • "Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity"
  • "Nomber theory in science and communication : with applications in cryptography, physics, biology, digital information, and computing"
  • "Number theory in science and communication"
  • "Number theory in science and communication"@en
  • "Number theory in science and communication. With applications in cryptography, physics, digital information, computing and self-similarity"
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing, and self-similarity"
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing, and self-similarity"@en
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing and self-similarity"
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing and self-similarity"@en
  • "Number Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity"
  • "Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing"
  • "Number theory in science and communication : With applications in cryptography, physics, biology, digital information, and computing"
  • "Number theory in science and communication : with applications in crytography, physics, digital information, computing, and self-similarity"
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing"
  • "Number theory in science and communication : with applications in cryptography, physics, biology, digital information and computing"
  • "Number theory in science and communication with applications in cryptography, physics, digital information, computing, and self-similarity"
  • "Number theory in science and communication with applications in cryptography, physics, digital information, computing, and self-similarity"@en
  • "Number theory in science and communication : with applications in cryptography, physics, biology, digital information, and computing"
  • "Number theory in science and communication with applications in cryptography, physics, biology, digital information and computing"
  • "Number theory in science and communications : with applications in cryptography, physics, digital information, computing, and self-similarity"
  • "Number theory in science and communication ; with applications in cryptography, physics, digital information, computing, and self-similarity"
  • "Number Theory in Science and Communication"
  • "Number theory in science and communication : with applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity"
  • "Number theory in Science and Communication. With Applications in Crytography, Physics, Digital Information, Computing and SelfSimilarity"
  • "Number theory in science and communication : with applications in cryptography, physics, digital information, computing, and self-similarity : (dedicated to the memory of Hermann Minkowski)"

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