When a zero isn't zero (math quote) - sci.math

Message from discussion When a zero isn't zero (math quote)

Remcheese

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More options Nov 4 2009, 8:36 pm

Newsgroups: sci.math

From: "Remcheese" <nos...@spamless.com>

Date: Wed, 4 Nov 2009 14:36:38 -0600

Local: Wed, Nov 4 2009 8:36 pm

Subject: Re: When a zero isn't zero (math quote)

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"Dave L. Renfro" <renfr...@cmich.edu> wrote in message
news:013e6bed-5af1-4c32-87f1-456ce444ec59@w19g2000yqk.googlegroups.com...

> O-K, this may be a well-known folklore math quote,
> but a google-web search gives only 2 hits (both being
> the same book) and a google-book search gives only
> 7 hits (5 essentially different items, one of which
> is the google-web hit I got):

> "A zero of order zero is a regular point at which the
> function is not zero."

> I saw this in Pi Mu Epsilon Journal [Volume 2, Number 5
> (Fall 1956), p. 224], where it's followed with "(From a
> book on complex variables.)" From the google-book hits
> it appears the original source is Volume 1 of Knopp's
> "Theory of Functions".

> Dave L. Renfro

That book is a 9 on my sale of 1 to 10 where 10 is the hardist.
excellent book complex functions, quite difficult, beyond advanced calculus
only 142 pages of 4in by 6in pages in vol 1
came out in 1945,
Dover has reprinted it, so it is low cost now.

basic theory of functions of one complex variable, at a pace that will
allow for the inclusion of some non-elementary topics at the end. Basic
Theory: Holomorphic and harmonic functions; conformal mappings; Cauchy's
Theorem and consequences; Taylor and Laurent series; singularities;
residues; Dirichlet Series such as the Riemann Zeta Function

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