Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing and Self-similarity - Softcover

Schroeder, Manfred R.

 
9783540158004: Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing and Self-similarity

Inhaltsangabe

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. It widens the horizon of readers with a minimum of mathematical training to the basic facts of number theory. The topics are treated informally, stressing intuition rather than formal proofs. The second edition includes much new material on self-similarity, fractals, quasicrystals, Cantor sets, Hausdorff dimensions, deterministic chaos, error-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"...

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Críticas

..."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.,." #Scientific American#1

Reseña del editor

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 püroductive contributor - useful mathematics given outside the formalities of theorem and proof. Philip Morrison - Scientific American NTS***

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