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Titlebook: Number Theory in Science and Communication; With Applications in Manfred R. Schroeder Book 19841st edition Springer-Verlag Berlin Heidelber

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发表于 2025-3-21 19:41:32 | 显示全部楼层 |阅读模式
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 Book 19841st edition Springer-Verlag Berlin Heidelber
描述"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 r
出版日期Book 19841st edition
关键词Galois field; Symbol; Zahlentheorie; algorithms; communication; cryptography; diophantine equation; discret
版次1
doihttps://doi.org/10.1007/978-3-662-02395-2
isbn_ebook978-3-662-02395-2Series ISSN 0720-678X
issn_series 0720-678X
copyrightSpringer-Verlag Berlin Heidelberg 1984
The information of publication is updating

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发表于 2025-3-21 20:28:24 | 显示全部楼层
Book 19841st editione 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, w
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Linear Congruencesual? Obviously, being 25 hours late is as good (or bad) as being only 1 hour late. In other words, in a . event an extra day, or even several, makes no difference. The mathematics that deals with this kind of situation is called ., because only remainders . a given integer matter.
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Diophantine Equationsmathematical schooling. Ironically, though, Diophantine equations play an ever-increasing role in modern applications, not to mention the fact that some Diophantine problems, especially the unsolvable ones, have stimulated an enormous amount of mathematical thinking, advancing the subject of number theory in a way that few other stimuli have.
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Primitive Rootsgon. These same concepts also allow us to see why the decimal fraction of 1/7 has a period of length 6, while the decimal fraction for 1/11 has a period of only 2. And why does 1/99007599, written as a binary fraction, have a period of nearly 50 million 0’s and l’s? We shall see!
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Pseudoprimes, Poker and Remote Coin Tossing makes sense to define and, as we do in this chapter, discuss such odd entities as pseudoprimes, absolute (or universal) pseudoprimes and strong pseudoprimes. When talking about extremely large numbers, pseudoprimality is sometimes the only evidence we can go by.
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search groups and special topics courses (8-10 students), for 1st or 2nd year graduate level courses in Thermal Properties of Solids, special topics courses in Thermal Conductivity, Superconductors and Magnetic Materials, and to researchers in Thermoelectrics, Thermal Barrier Materials and Solid State Physics. .978-1-4419-3444-4978-0-387-26017-4
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