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Titlebook: Essential Mathematics for Applied Fields; Richard M. Meyer Textbook 1979 Springer-Verlag New York Inc. 1979 Calc.Fields.Lemma.Mathematik.M

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书目名称Essential Mathematics for Applied Fields
编辑Richard M. Meyer
视频video
丛书名称Universitext
图书封面Titlebook: Essential Mathematics for Applied Fields;  Richard M. Meyer Textbook 1979 Springer-Verlag New York Inc. 1979 Calc.Fields.Lemma.Mathematik.M
描述1. Purpose The purpose of this work is to provide, in one volume, a wide spectrum of essential (non-measure theoretic) Mathematics for use by workers in the variety of applied fields. To obtain the background developed here in one volume would require studying a prohibitive number of separate Mathematics courses (assuming they were available). Before, much of the material now covered was (a) unavailable, (b) too widely scattered, or (c) too advanced as presented, to be of use to those who need it. Here, we present a sound basis requiring only Calculus through however, Differential Equations. It provides the needed flexibility to cope, in a rigorous manner, with the every-day, non-standard and new situations that present themselves. There is no substitute for this. 2. Arrangement The volume consists of twenty Sections, falling into several natural units: Basic Real Analysis 1. Sets, Sequences, Series, and Functions 2. Doubly Infinite Sequences and Series 3. Sequences and Series of Functions 4. Real Power Series 5. Behavior of a Function Near a Point: Various Types of Limits 6. Orders of Magnitude: the D, 0, ~ Notation 7. Some Abelian and Tauberian Theorems v Riemann-Stieltjes Integr
出版日期Textbook 1979
关键词Calc; Fields; Lemma; Mathematik; Matrix; Mean value theorem; Volume; algebra; complex analysis; equation; eval
版次1
doihttps://doi.org/10.1007/978-1-4613-8072-6
isbn_softcover978-0-387-90450-4
isbn_ebook978-1-4613-8072-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag New York Inc. 1979
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1-Dimensional Riemann-Stieltjes Integral,own as the Riemann-Stieltjes Integral, must be called upon in many situations. In the present Section we shall develop what is termed a 1-dimensional Riemann-Stieltjes Integral, first with respect to a 1-dimensional c.d.f., then, more generally, with respect to b.v.f.
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n-Dimensional Cumulative Distribution Functions and Bounded Variation Functions,me of their properties in this Section, and then apply these results in the following Section dealing with the n-dimensional Riemann-Stieltjes Integral. We shall follow the general pattern set in Section 8.
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n-Dimensional Riemann-Stieltjes Integral,hen, more generally, with respect to left-continuous n-dimensional b.v.f.’s. The development closely parallels that of the 1-dimensional case, and for this reason we will generally be briefer with proofs and descriptions than before. However, this by no means indicates that the n-dimensional Integra
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Complex Variables,e complex number system can be viewed as a useful generalization of the familiar real number system. For, if the real number system can be thought of as the familiar properties of points — called real numbers — on the real line, then the complex number system can be thought of as the yet-to-be-exami
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