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

CIS

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

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

圍裙

infelicitous

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

SYN

Commodious

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

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

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.

顛簸地移動

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