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

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發(fā)表于 2025-3-21 19:26:03 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱A Readable Introduction to Real Mathematics
影響因子2023Daniel Rosenthal,David Rosenthal,Peter Rosenthal
視頻videohttp://file.papertrans.cn/142/141999/141999.mp4
發(fā)行地址Presents sophisticated ideas in algebra and geometry in an elementary fashion.Includes exercises of varying difficulty to help motivate and teach the reader.Develops mathematical thinking that will be
學科分類Undergraduate Texts in Mathematics
圖書封面Titlebook: A Readable Introduction to Real Mathematics;  Daniel Rosenthal,David Rosenthal,Peter Rosenthal Textbook 20141st edition Springer Internatio
影響因子Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include:?mathematical induction - modular arithmetic - the fundamental theorem of arithmetic -?Fermat‘s little theorem?- RSA encryption?- the Euclidean algorithm?-rational and irrational numbers?- complex numbers?- cardinality?- Euclidean plane geometry?- constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety o
Pindex Textbook 20141st edition
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沙發(fā)
發(fā)表于 2025-3-21 22:09:18 | 只看該作者
Springer International Publishing Switzerland 2014
板凳
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地板
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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
5#
發(fā)表于 2025-3-22 10:19:56 | 只看該作者
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
6#
發(fā)表于 2025-3-22 13:06:56 | 只看該作者
7#
發(fā)表于 2025-3-22 20:18:34 | 只看該作者
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.
8#
發(fā)表于 2025-3-22 22:51:02 | 只看該作者
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
9#
發(fā)表于 2025-3-23 01:29:54 | 只看該作者
Qualit?tssicherung 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
10#
發(fā)表于 2025-3-23 08:48:42 | 只看該作者
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.
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