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Titlebook: Number Theory in Science and Communication; With Applications in Manfred R. Schroeder Textbook 19862nd edition Springer-Verlag Berlin Heide

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书目名称Number Theory in Science and Communication
副标题With Applications in
编辑Manfred R. Schroeder
视频video
丛书名称Springer Series in Information Sciences
图书封面Titlebook: Number Theory in Science and Communication; With Applications in Manfred R. Schroeder Textbook 19862nd edition Springer-Verlag Berlin Heide
描述"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy Number 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 himself 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 numbers‘) 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 taking on an ever more important rol
出版日期Textbook 19862nd edition
关键词Astrophysics; Biology; Digital Signal Processing; Electrical Engineering; Geophysics; Medicine; Physics an
版次2
doihttps://doi.org/10.1007/978-3-662-22246-1
isbn_ebook978-3-662-22246-1Series ISSN 0720-678X
issn_series 0720-678X
copyrightSpringer-Verlag Berlin Heidelberg 1986
The information of publication is updating

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Primesds counter-intuitive and, in fact, it isn’t true, as Euclid demonstrated a long time ago. Actually, he did it without demonstrating any primes — he just showed that assuming a finite number of primes leads to a neat contradiction.
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Fractions: Continued, Egyptian and Fareyions. Here we discuss their applications as approximating fractions for rational or . and ., their relations with . (and deterministic chaos!), their use in . and in solving the “.” and the . and . and some of their endless applications.
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Certified Signaturesse of avoiding random confusions) achievable by this method, which is based on modular arithmetic, appears to exceed by far that of notarized signatures, fingerprinting or, conceivably, even genetic analysis.
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Fast Transformations and Kronecker Products we will now take time out for a glance at another basic principle of fast computation: decomposition into . or . products. We illustrate this by showing how to factor Hadamard and Fourier matrices — leading to a Fast Hadamard Transform (FHT) and the well-known Fast Fourier Transform (FFT).
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