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Description
Conformal MappingConformal mapping is a field in which pure and applied mathematics are both involved. This book tries to bridge the gulf that many times divides these two disciplines by combining the theoretical and practical approaches to the subject. It will interest the pure mathematician, engineer, physicist, and applied mathematician. The potential theory and complex function theory necessary for a full treatment of conformal mapping are developed in the first
Conformal mapping is a field in which pure and applied mathematics are both involved. This book tries to bridge the gulf that many times divides these two disciplines by combining the theoretical and practical approaches to the subject. It will interest the pure mathematician, engineer, physicist, and applied mathematician.The potential theory and complex function theory necessary for a full treatment of conformal mapping are developed in the first four chapters, so the reader needs no other text on complex variables. These chapters cover harmonic functions, analytic functions, the complex integral calculus, and families of analytic functions. Included here are discussions of Green's formula, the Poisson formula, the Cauchy-Riemann equations, Cauchy's theorem, the Laurent series, and the Residue theorem. The final three chapters consider in detail conformal mapping of simply-connected domains, mapping properties of special functions, and conformal mapping of multiply-connected domains. The coverage here includes such topics as the Schwarz lemma, the Riemann mapping theorem, the Schwarz-Christoffel formula, univalent functions, the kernel function, elliptic functions, univalent functions, the kernel function, elliptic functions, the Schwarzian s-functions, canonical domains, and bounded functions. There are many problems and exercises, making the book useful for both self-study and classroom use.
The author, former professor of mathematics at Carnegie-Mellon University, has designed the book as a semester's introduction to functions of a complex variable followed by a one-year graduate course in conformal mapping. The material is presented simply and clearly, and the only prerequisite is a good working knowledge of advanced calculus.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/08/2011
ISBN: 9780486611372
Pages: 416
Weight: 0.70lbs
Size: 8.20h x 5.66w x 0.81d
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★★★★★ 5
Great pre-reader book!
Format: Hardcover
As an early childhood educator, I use this book often for story time for children 3-5 years old. The book was recommended to our Museum by the Smithsonian Institution Early Enrichment Center. I ordered the book to share with my young granddaughter - I'm sure she will enjoy it as much as I do each time I read it!
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Reviewed in the United States on March 29, 2011
★★★★★ 5
Soft, convenient, mobility friendly
These work great for my father who has mobility difficulties. He’s able to maintain a better grip with these. The mesh is soft, not abrasive, to the skin yet works up a good lather. Standard bar ivory fits nicely with room for a bigger bar soap.
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Reviewed in the United States on May 10, 2026
★★★★★ 5
The perfect soap bag for me
I'm new to using soap bags, I've tried a few different brands so far and this one is by far my favorite. I love how soap bags create a rich lather with bar soap while exfoliating but the ones I tried before this brand were way too rough to use on a daily basis, my skin would be red after showering. When I saw the type of material these soap bags were made of, it looked to be more gentle so I decided to give it a try. I've only used the white soap bag a few times now but I love it. It fits my Dove soap bar perfectly (other soap bags were too large), still creates a nice rich lather and best of all the material is so much more gentle than the other soap bags I've tried so I'm able to use it regularly without feeling like I'm scraping my skin off. I was hesitant to buy these due to the lack of reviews but I'm glad I did, with how amazing this product is I hope more people find these and try them out. I plan to buy a few more packs in case they ever stop making these, the price is very reasonable as well.
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Reviewed in the United States on January 3, 2026
★★★★★ 4
Small but still worth price.
Smaller than add makes it seem.
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Reviewed in the United States on March 29, 2026
★★★★★ 3
sub-optimal design
Size is a bit too small for anything bigger than an average bar of soap, so the soap doesn't move around enough to make good suds. the inside is also too textured, and the soap sticks to the inside of the pouch. good quality and sturdy stitching however.
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Reviewed in the United States on April 4, 2026