CIS 发表于 2025-3-25 03:54:31

The Real Numbers,Real analysis of one variable is based on a description of the main structures (algebraic, ordered, and metric) of ., as well as on the connections between them.

Adrenal-Glands 发表于 2025-3-25 09:35:36

Limits of Real Sequences,Any real number is made accessible through its rational approximations, for example, cutting off the decimals starting with .th one

围裙 发表于 2025-3-25 11:46:01

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infelicitous 发表于 2025-3-25 16:10:20

Numerical Series,A suggestive definition (though not entirely accurate) for the notion of series, is that of a sum with infinitely many terms.

SYN 发表于 2025-3-25 21:56:49

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Commodious 发表于 2025-3-26 02:34:51

Continuous Functions,The previous chapters outlined the important role played by the convergent sequences in their relationship with the topological theory of metric spaces.

Tinea-Capitis 发表于 2025-3-26 04:36:45

Elementary Functions,The purpose of this chapter is to give a self-contained presentation of the so-called elementary functions, such as the ., the ., the . function, the.and the.functions, and so on. An important role in our approach is played by the functional equations and the power series.

Crepitus 发表于 2025-3-26 09:44:50

Differential Calculus on ,,Differential calculus is devoted to the study of differentiable functions. Historically, there were two sources of differential calculus: the problem of finding the slope of the tangent line to the graph of a function, and the problem of finding the instantaneous speed of a moving object.

颠簸地移动 发表于 2025-3-26 13:36:22

The Riemann Integral,Since antiquity, people were interested in computing the length of curves, the area of surfaces, and the volumes of solids.

出汗 发表于 2025-3-26 17:12:56

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查看完整版本: Titlebook: Real Analysis on Intervals; A. D. R. Choudary,Constantin P. Niculescu Textbook 2014 Springer India 2014 Differential and integral calculus