Titlebook: A Readable Introduction to Real Mathematics; Daniel Rosenthal,David Rosenthal,Peter Rosenthal Textbook 20141st edition Springer Internatio

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Springer International Publishing Switzerland 2014

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Klassische quantitative Analyse,pon division by .. This beautiful theorem has a number of important theoretical and practical applications, one of which is to the technique for sending secret messages that is described in the following chapter. We present proofs of Fermat’s Theorem and also of Wilson’s Theorem, another beautiful f

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Hans Peter Latscha,Helmut Alfons KleinThis algorithm has a number of important applications, including forming the basis for a different proof of the Fundamental Theorem of Arithmetic. It is also an important ingredient in the RSA procedure for sending secret messages. We also present a proof of Euler’s generalization of Fermat’s Theore

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Hans Peter Latscha,Helmut Alfons Kleinrs are all the numbers of the form . + . where . and . are real numbers. It is a remarkable fact that every polynomial with real coefficients that is not a constant has a complex root. In this chapter we develop the basic properties of the complex numbers.

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H. G. Langer,R. S. Gohlke,G. Machatare? How many real numbers are there? How many points are there in the plane? How many sets of natural numbers are there? How many different circles are there in the plane? One answer to all the above questions would be: there are an infinite number of them. But there are more precise answers that ca

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Qualitätssicherung und Kalibrierung those of 60 degrees, 45 degrees, and 30 degrees are all constructible. On the other hand, it is quite difficult to prove that an angle of 20 degrees is not constructible and that, therefore, an angle of 60 degrees cannot be trisected using only a straightedge and compass. We present a complete proo

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R. K. Müller,J. Grosse,D. Thieme,R. LangWe describe the basic properties of the natural numbers; that is, the numbers 1,2,3,4,5,6 and so on. We prove that there is no largest prime number, and discuss two famous unsolved problems.