Titlebook: Handbook of Mathematics; I. N. Bronshtein,K. A. Semendyayev Book 19983rd edition Springer-Verlag Berlin Heidelberg 1998 Algebra.Mathematic

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I. N. Bronshtein,K. A. SemendyayevProben in verschiedener Höhe des Ölbehälters entnehmen und diese wieder mischen. Andernfalls bekommt man nämlich entweder nur die dünnflüssigen oder die dicken Bestandteile des Öles, was in jedem Falle ein falsches Bild gibt.

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Book 19983rd editionking scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications.

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Elementary mathematics,To represent numbers one uses numerical symbols or, more precisely, sequences of numerical symbols (also called numeral sequences), which are formed by juxtaposition of finitely many basic symbols chosen from a finite set.

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Analysis,The set ℝ of all real numbers can be characterized by axioms. (The real numbers can also be . by successively extending the domains of the natural numbers ℕ, the integers ℤ, and the rational numbers ℚ. We cannot go into this approach.)

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Special chapters,A proposition (or statement or assertion) is a linguistic formation that has the property of being either true or false (.). “True” and “false” are called the . of the proposition and are denoted by . and ., respectively.

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Numerical mathematics and computation techniques,An important task of numerical mathematics is the drawing up of computation rules (algorithms) with whose help and by the use of previously known means (such as tables, desk calculating machines, analogue computers, digital computers, and so on) input data are transformed into desired output data.

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Analysis,The chapter on functional analysis is arranged so that when any concept of functional analysis is needed at a particular place, its definition can always be found beforehand.

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Mathematical methods of operational research,If in a problem of linear optimization, for instance, in the LOP form (see 6.1.1) it is additionally required that all or some of the variables should take only integral values, the problem is said to be ..