000			01821nam a22001937a 4500
003			OSt
005			20250306102340.0
008			250306b |||||||| |||| 00| 0 eng d
020			_a000000178035
040			_aDLC _ben _cDLC
050			_aDUCE QA331.F62
100			_aFlanigan,F..J. _qFrancis J Flanigan.
245			_aComplex variables: _bharmonic and analytic Functions/ _cFrancis J Flanigan.
260			_aNew York: _bDover Publications, _c1983.
300			_ax,353p.: _bill,: _c24 cm
500			_aIncludes bibliography references and index.
520			_aA caution to mathematics professors: Complex Variables does not follow conventional outlines of course material. One reviewer noting its originality wrote: "A standard text is often preferred [to a superior text like this] because the professor knows the order of topics and the problems, and doesn't really have to pay attention to the text. He can go to class without preparation." Not so here — Dr. Flanigan treats this most important field of contemporary mathematics in a most unusual way. While all the material for an advanced undergraduate or first-year graduate course is covered, discussion of complex algebra is delayed for 100 pages, until harmonic functions have been analyzed from a real variable viewpoint. Students who have forgotten or never dealt with this material will find it useful for the subsequent functions. In addition, analytic functions are defined in a way which simplifies the subsequent theory. Contents include: Calculus in the Plane, Harmonic Functions in the Plane, Complex Numbers and Complex Functions, Integrals of Analytic Functions, Analytic Functions and Power Series, Singular Points and Laurent Series, The Residue Theorem and the Argument Principle, and Analytic Functions as Conformal Mappings.
942			_2lcc _cBK _n0
999			_c4253 _d4253