Mathematical Analysis : Approximation and Discrete Processes
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The work Mathematical Analysis : Approximation and Discrete Processes represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Mathematical Analysis : Approximation and Discrete Processes
Resource Information
The work Mathematical Analysis : Approximation and Discrete Processes represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Mathematical Analysis : Approximation and Discrete Processes
 Title remainder
 Approximation and Discrete Processes
 Statement of responsibility
 by Mariano Giaquinta, Giuseppe Modica
 Language
 eng
 Summary
 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
 Dewey number
 515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 r_WN9mmvgQ
 MN77FMvl7Og
 Image bit depth
 0
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
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