Real Analysis of One Variable
This part of BookofProofs deals with the analysis of real-valued functions with one variable, i.e. the functions of the form $f:\mathbb R\mapsto \mathbb R, x\mapsto f(x)$. Using the axiomatic method, it systematically derives some basic concepts like sequences and limits, real series, continuous real functions, differentiable functions, the Riemann integral, Taylor Series, and Fourier series.
Using the axiomatic method, almost all of these concepts follow from the defining properties of real numbers.
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