| 书目名称 | Mathematical Analysis | | 副标题 | Approximation and Di | | 编辑 | Mariano Giaquinta,Giuseppe Modica | | 视频video | | | 概述 | This fairly self-contained work embraces a broad range of topics in analysis at the graduate level, requiring only a sound knowledge of calculus and the functions of one variable.Replete with beautifu | | 图书封面 |  | | 描述 | 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 | | 出版日期 | Textbook 2004 | | 关键词 | Complex analysis: one variable; Probability theory; Taylor series; approximation/probability; calculus; d | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4414-7 | | isbn_softcover | 978-0-8176-4337-9 | | isbn_ebook | 978-0-8176-4414-7 | | copyright | Springer Science+Business Media New York 2004 |
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发表于 2025-3-21 19:57:07
