Re: Conformal Mapping

*To*: mathgroup at smc.vnet.net*Subject*: [mg128570] Re: Conformal Mapping*From*: Andrzej Kozlowski <akozlowski at gmail.com>*Date*: Sun, 4 Nov 2012 20:12:52 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <20121101071908.8E0F6684E@smc.vnet.net> <20121102044326.4FACA6849@smc.vnet.net> <20121104044442.1BC85684E@smc.vnet.net> <53676848-2237-421A-8D35-B3B75E945354@math.umass.edu>

On 4 Nov 2012, at 16:29, Murray Eisenberg <murray at math.umass.edu> wrote: > > As to drawing the region: Yes, of course one can do it with out-of-the-box Mathematica. But it seems counterintuitive to have to plot a figure involving a complex-valued function of a complex variable by breaking complex numbers z apart into their real and imaginary parts x and y. After all, for calculations Mathematica "wants" numbers to be complex rather than real! What Park's "Presentations" allows is to work directly in complex terms for plotting. the "Presentations" primitive ComplexRegionDraw is just the tip of the iceberg in complex facilities provided. > Maybe, but every Mathematica user ought to acquire enough basic skill to overcome this supposed "counter-intuitiveness". After all, it is hardly honest to encourage people to use Mathematica by telling them how powerful it is and how much simpler than, say, learning C, and then the moment they try to solve a simple mathematical problem tell them that the best thing to do is to buy an add-on package because Mathematica itself is what =85 too complex for them o learn? And while you are recommending them to get this package you omit to mention that they are not going to be able to share the code they produced with its help with anyone who does not have the package, or embed it in a CDF, etc. Furthermore, by relying on such a package are making themselves dependent on it's author who one day may not want to or more likely be able to make it compatible with future versions of Mathematica. I would think that these are sufficient reasons to hesitate before recommending it to anyone but people who really need it and have no other alternative and this case I certainly do not see as belonging to this category. Andrzej Kozlowski

**Follow-Ups**:**Re: Conformal Mapping***From:*Murray Eisenberg <murray@math.umass.edu>

**References**:**Conformal Mapping***From:*MaxJ <maxjasper@shaw.ca>

**Re: Conformal Mapping***From:*Murray Eisenberg <murray@math.umass.edu>

**Re: Conformal Mapping***From:*Andrzej Kozlowski <akozlowski@gmail.com>