Number Theory in Science and Communication
With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
1989
|
2., enl. ed. 1986. Corr. 2nd printing
Springer Berlin (Hersteller)
978-3-540-15800-4 (ISBN)
Springer Berlin (Hersteller)
978-3-540-15800-4 (ISBN)
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An introduction for nonmathematicians. The book stresses intuitive understanding rather than abstract theory. Concepts such as continued fractions, the golden ratio, quadratic residues, trapdoor functions, pseudoprimes and primitive elements are highlighted. Their application to problems in the real world is one of the main themes of the book.
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"...
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"...
| Zusatzinfo | 81 figs. XIX,374 pages. |
|---|---|
| Verlagsort | Berlin |
| Sprache | englisch |
| Gewicht | 610 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Informatik ► Netzwerke |
| Mathematik / Informatik ► Informatik ► Theorie / Studium | |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 3-540-15800-6 / 3540158006 |
| ISBN-13 | 978-3-540-15800-4 / 9783540158004 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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