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Titlebook: Partial Derivatives; P. J. Hilton Book 1960 P. J. Hilton 1960 Friedrich Heinrich Jacobi.Jacobi.Mean value theorem.derivative.derivatives.d

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发表于 2025-3-21 16:55:04 | 显示全部楼层 |阅读模式
书目名称Partial Derivatives
编辑P. J. Hilton
视频video
丛书名称Library of Mathematics
图书封面Titlebook: Partial Derivatives;  P. J. Hilton Book 1960 P. J. Hilton 1960 Friedrich Heinrich Jacobi.Jacobi.Mean value theorem.derivative.derivatives.d
描述THIS book, like its predecessors in the same series, is in­ tended primarily to serve the needs of the university student in the physical sciences. However, it begins where a really elementary treatment of the differential calculus (e. g. , Dif­ ferential Calculus,t in this series) leaves off. The study of physical phenomena inevitably leads to the consideration of functions of more than one variable and their rates of change; the same is also true of the study of statistics, economics, and sociology. The mathematical ideas involved are des­ cribed in this book, and only the student familiar with the corresponding ideas for functions of a single variable should attempt to understand the extension of the method of the differential calculus to several variables. The reader should also be warned that, with the deeper penetration into the subject which is required in studying functions of more than one variable, the mathematical argu­ ments involved also take on a more sophisticated aspect. It should be emphasized that the basic ideas do not differ at all from those described in DC, but they are manipulated with greater dexterity in situations in which they are, perhaps, intuitively no
出版日期Book 1960
关键词Friedrich Heinrich Jacobi; Jacobi; Mean value theorem; derivative; derivatives; differential equation; fun
版次1
doihttps://doi.org/10.1007/978-94-011-6089-6
isbn_softcover978-0-7100-4347-4
isbn_ebook978-94-011-6089-6
copyrightP. J. Hilton 1960
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发表于 2025-3-21 22:11:58 | 显示全部楼层
Differentiability and Change of Variables,The fundamental rules given in Chapter Two of DC for differentiating sums, products, and quotients of functions apply, of course, equally well to partial differentiation. However, the most important rule in partial differentiation is the generalization of Theorem 2.5 of DC on change of variables.
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https://doi.org/10.1007/978-94-011-6089-6Friedrich Heinrich Jacobi; Jacobi; Mean value theorem; derivative; derivatives; differential equation; fun
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P. J. Hilton were conducted at two sets of gate voltage (Vg) biasing, assuming noise levels are proportional to the amount of voltage stimulated. As for the result, it is found that the lower internal resistances will result in lower R. and NFmin.
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Maxima and Minima, of maxima or minima may be deduced from them. The deductions are, however, somewhat more sophisticated than in the simpler case of a single variable. As in previous chapters we state the main results only for functions of two variables, but the reader should be able to supply the extension to several variables.
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iences. However, it begins where a really elementary treatment of the differential calculus (e. g. , Dif­ ferential Calculus,t in this series) leaves off. The study of physical phenomena inevitably leads to the consideration of functions of more than one variable and their rates of change; the same
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