Grundzüge der Galois'schen Theorie
Grundzüge der Galois'schen Theorie
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伽罗瓦理论基础
DOI：
10.2307/3609358
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发表时间：
1951
期刊：
影响因子：
--
通讯作者：
W. Ledermann
中科院分区：
文献类型：
--
作者：
W. Ledermann
在第一节中，我们先讨论导致椭圆积分的积分。需要的其他非初等函数在最后一节中定义，并参考标准作品，该节还包含有关初等函数的信息集合。这种表的使用取决于它的全面性，这里每一个一般公式所给出的许多特殊情况似乎都很好地涵盖了它的各种表象。然而，相关的被积数之间的联系有时会被所使用的十进制引用的形式所模糊；将一个积分称为“2.3.2.4节”。，第4.2.3.1.2号。”看起来很笨拙，但对于大约3000人来说可能是必要的。这本书的布局令人愉悦，对随机选择的结果进行验证表明，勘误表相当完整。然而，第8页上的第4.4.1.1题的积分中应该有（l + ~） ~，而第13页上的第2.0.2题的第三列中的被积数应该包含（a + bz）”。r.b.h。
in the first sectiori before the integrands which lead to elliptic integrals. The other non-elementary functions needed are defined, with references to standard works, in a final section which also has a collection of information about the elementary functions. The use of such a table depends on its comprehensiveness, and here the numerous special cases given with each general formula seem to cover well its various appearances. The connection between related integrands may, however, be sometimes obscured by the form of decimal references used ; to refer to an integral as " Section 2.3.2.4., No. 4.2.3.1.2." seems clumsy, but may be necessary among some 3,000. The layout of the book is pleasing, and a verification of a random selection of the results suggests that the list of errata is fairly complete. Surely, however, No. 4.4.1.1 on p. 8 should have ( l + ~ ) ~ in the integral, and the integrand in the third column of No. 2.0.2 on p. 13 should contain (a + bz)". R. B. H.