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Mathematical Analysis

von Giuseppe Modica und Mariano Giaquinta
Hardcover - 9780817643133
53,49 €
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Softcover - 9780817643379
53,49 €

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Weitere Formate

Softcover - 9780817643379
53,49 €

Beschreibung

This volume! aims at introducing some basic ideas for studying approxima tion processes and, more generally, discrete processes. The study of discrete processes, which has grown together with the study of infinitesimal calcu lus, has become more and more relevant with the use of computers. The volume is suitably divided in two parts. In the first part we illustrate the numerical systems of reals, of integers as a subset of the reals, and of complex numbers. In this context we intro duce, in Chapter 2, the notion of sequence which invites also a rethinking of the notions of limit and continuity2 in terms of discrete processes; then, in Chapter 3, we discuss some elements of combinatorial calculus and the mathematical notion of infinity. In Chapter 4 we introduce complex num bers and illustrate some of their applications to elementary geometry; in Chapter 5 we prove the fundamental theorem of algebra and present some of the elementary properties of polynomials and rational functions, and of finite sums of harmonic motions. In the second part we deal with discrete processes, first with the process of infinite summation, in the numerical case, i.e., in the case of numerical series in Chapter 6, and in the case of power series in Chapter 7. The last chapter provides an introduction to discrete dynamical systems; it should be regarded as an invitation to further study.

Approximation and Discrete Processes

Approximation and Discrete Processes

Details

Verlag Birkhäuser Boston
Ersterscheinung 02. April 2004
Maße 23.5 cm x 15.5 cm
Gewicht 954 Gramm
Format Hardcover
ISBN-13 9780817643133
Seiten 388

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