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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Doubly Infinite Sequences and Series,A natural generalization of the notion of an infinite sequence of real numbers is that of a doubly (or, more generally, multiply) infinite sequence of real numbers ., briefly {a.}.

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Odyssey

Real Power Series,We now center attention upon a particular type of infinite series of functions that occurs frequently in Applied Mathematics. This special type of series is known as a power series.

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Heretical

Finite Differences and Difference Equations,In Applied Mathematics we frequently encounter functions, relationships or equations that somehow depend upon one or more integer variables. There is a body of Mathematics, termed the Calculus of Finite Differences, that frequently proves useful in treating such situations.

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Matrices and Determinants,The notion of a matrix finds a wide variety of uses in Applied Mathematics. Here we shall examine some of the more important properties of matrices and determinants of complex numbers..

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delusion

Characteristic Roots and Related Topics,The solutions of many problems in Applied Mathematics involve the so-called characteristic roots of a related matrix. Here we consider some of the important properties and concepts related to characteristic roots.

GNAW

Convex Sets and Convex Functions,Because of their useful properties, the notions of convex sets and convex functions find many uses in the various areas of Applied Mathematics. We begin with the basic definition of a convex set in n-dimensional Euclidean Space (E.), where points are ordered n-tuples of real numbers such as .’ = (x., x.,…, x.) and .’ = (y., y2,…,y.).

ATRIA

Institut für Baustatik und Konstruktionthe case with the ‘lim inf’, ‘lim sup’ and ‘lim’ notation. We have already dealt with this notation (Sections 1–4) when considering . of sets, real numbers and real-valued functions. However, the same notation is also used in describing a different concept, related to the behavior of an . real-value