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Titlebook: Number Theory for Beginners; André Weil Textbook 1979 Springer-Verlag New York Inc. 1979 Zahlentheorie.algebra.form.mathematics.number the

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发表于 2025-3-21 20:05:23 | 显示全部楼层 |阅读模式
书目名称Number Theory for Beginners
编辑André Weil
视频video
图书封面Titlebook: Number Theory for Beginners;  André Weil Textbook 1979 Springer-Verlag New York Inc. 1979 Zahlentheorie.algebra.form.mathematics.number the
描述In the summer quarter of 1949, I taught a ten-weeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "Alge­ bra 251". What made it possible, in the form which I had planned for it, was the fact that Max Rosenlicht, now of the University of California at Berkeley, was then my assistant. According to his recollection, "this was the first and last time, in the his tory of the Chicago department of mathematics, that an assistant worked for his salary". The course consisted of two lectures a week, supplemented by a weekly "laboratory period" where students were given exercises which they were. asked to solve under Max‘s supervision and (when necessary) with his help. This idea was borrowed from the "Praktikum" of German universi­ ties. Being alien to the local tradition, it did not work out as well as I had hoped, and student attendance at the problem sessions so on became desultory. v vi Weekly notes were written up by Max Rosenlicht and issued week by week to the students. Rather than a literal reproduction of the course, they should be regarded as its skeleton; they were supplemented by references to stan­ dard text-books on alge
出版日期Textbook 1979
关键词Zahlentheorie; algebra; form; mathematics; number theory; production; time; university; vi
版次1
doihttps://doi.org/10.1007/978-1-4612-9957-8
isbn_softcover978-0-387-90381-1
isbn_ebook978-1-4612-9957-8
copyrightSpringer-Verlag New York Inc. 1979
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发表于 2025-3-21 23:26:15 | 显示全部楼层
https://doi.org/10.1007/978-1-4612-9957-8Zahlentheorie; algebra; form; mathematics; number theory; production; time; university; vi
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,§ XI,vial, we assume .≠0. If then, in the field ., . is a solution of x.=a, an element . of . is also a solution if and only if ...1. Therefore, if x.=a has a solution in ., it has as many solutions as . contains .. roots of unity, i.e. roots of ...1.
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,§ III,Integers .,. are called mutually relatively prime if their g.c.d. is 1.
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,§ IV,An integer .>1 is called a prime if it has no other positive divisor than itself and 1.
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,§ V,A commutative (or “abelian”) group is a set ., together with a binary operation between elements of ., satisfying the following axioms (in which the group operation is denoted by +):
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,§ VI,If . is any integer >0, we define the multiplication of congruence classes by putting .; in fact, property (E), § V, shows that the right-hand side depends only upon the two classes in the left-hand side and not upon the choice of their representatives ..
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