Elementary Functions

Book Id: WPLBN0000673393
Format Type: PDF eBook
File Size: 121.33 KB
Reproduction Date: 2005

Title:	Elementary Functions
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Language:	English
Subject:	Science., Mathematics, Logic
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Citation APA MLA Chicago Elementary Functions. (n.d.). Elementary Functions. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: Complex functions are, of course, quite easy to come by?they are simply ordered pairs of real-valued functions of two variables. We have, however, already seen enough to realize that it is those complex functions that are differentiable that are the most interesting. It was important in our invention of the complex numbers that these new numbers in some sense included the old real numbers?in other words, we extended the reals. We shall find it most useful and profitable to do a similar thing with many of the familiar real functions. That is, we seek complex functions such that when restricted to the reals are familiar real functions. As we have seen, the extension of polynomials and rational functions to complex functions is easy; we simply change x?s to z?s. Thus, for instance, the function f defined by...