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Titlebook: Complex Numbers; Walter Ledermann Book 1962 Walter Ledermann 1962 Unity.algebra.complex number.function.functions.presentation.variable

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发表于 2025-3-21 19:57:06 | 显示全部楼层 |阅读模式
书目名称Complex Numbers
编辑Walter Ledermann
视频video
丛书名称Library of Mathematics
图书封面Titlebook: Complex Numbers;  Walter Ledermann Book 1962 Walter Ledermann 1962 Unity.algebra.complex number.function.functions.presentation.variable
描述THE purpose of this book is to prescnt a straightforward introduction to complex numbers and their properties. Complex numbers, like other kinds of numbers, are essen­ tially objects with which to perform calculations a:cording to certain rules, and when this principle is borne in mind, the nature of complex numbers is no more mysterious than that of the more familiar types of numbers. This formal approach has recently been recommended in a Reportt prepared for the Mathematical Association. We believe that it has distinct advantages in teaching and that it is more in line with modern algebraical ideas than the alternative geometrical or kinematical definitions of v -1 that used to be proposed. On the other hand, an elementary textbook is clearly not the place to enter into a full discussion of such questions as logical consistency, which would have to be included in a rigorous axiomatic treatment. However, the steps that had to be omitted (with due warning) can easily be filled in by the methods of abstract algebra, which do not conflict with the ‘naive‘ attitude adopted here. I should like to thank my friend and colleague Dr. J. A. Green for a number of valuable suggestions, espec
出版日期Book 1962
关键词Unity; algebra; complex number; function; functions; presentation; variable
版次1
doihttps://doi.org/10.1007/978-94-011-6570-9
isbn_softcover978-0-7100-4345-0
isbn_ebook978-94-011-6570-9
copyrightWalter Ledermann 1962
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发表于 2025-3-21 23:04:24 | 显示全部楼层
https://doi.org/10.1007/978-3-531-90132-9to arrive at a sensible and consistent definition of powers .., where . is an integer. We also discussed fractional powers and their many-valuedness. Thus we are in the position to handle expressions like ., in which several such powers are combined.
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发表于 2025-3-22 05:35:38 | 显示全部楼层
https://doi.org/10.1007/978-3-531-90132-9Before defining complex numbers let us briefly review the more familiar types of numbers and let us examine why there are different kinds of numbers.
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发表于 2025-3-22 18:23:23 | 显示全部楼层
978-0-7100-4345-0Walter Ledermann 1962
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发表于 2025-3-23 04:52:23 | 显示全部楼层
Elementary Functions of a Complex Variable,to arrive at a sensible and consistent definition of powers .., where . is an integer. We also discussed fractional powers and their many-valuedness. Thus we are in the position to handle expressions like ., in which several such powers are combined.
发表于 2025-3-23 09:17:52 | 显示全部楼层
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