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Description
Complex Analysis: The Argument Principle in Analysis and TopologyWith its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. The three part treatment provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on the concepts of angle and winding numbers. Part I takes a critical look at the concept of an angle, illustrating that because a nonzero complex number
With its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. The three-part treatment provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on the concepts of angle and winding numbers.Part I takes a critical look at the concept of an angle, illustrating that because a nonzero complex number varies continuously, one may select a continuously changing value of its argument. Part II builds upon this material, using the argument and its continuous variation as a tool in further studies and clarifying the complementary aspects of complex analysis and plane topology. Part III explores the link between the two subjects to their mutual benefit. The first two sections are intended for advanced undergraduates and graduate students in mathematics and contain sufficient material for a single course. The final section is geared toward the complex analyst and is intended to provide a foundation for further study.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/18/2019
ISBN: 9780486837185
Pages: 256
Weight: 0.80lbs
Size: 8.90h x 5.90w x 0.60d
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★★★★★ 5
fun for dog
Color: Red-Blue, Size: Medium Size 2 (6")
popped kinda easy but my dog is still having fun with it
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Best ball ever!
Color: Red-Blue, Size: Large Size 3 (8"), Color: Red-Blue, Size: Large Size 3 (8")
Oh my goodness. My cane corso (15 mos) LOVES this ball. It’s easy for them to pick up because of all the little handles sewn into the ball. It’s easy to throw as well. The only thing is he likes to chew them off if he gets free time with the ball. The ball itself is very sturdy. highly recommend, and I’ll be ordering more. We play with this every morning and he’s so excited to take it outside.
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Reviewed in the United States on May 26, 2026
★★★★★ 4
Best for a single dog but quality products
Color: Lake Blue, Size: Large Size 3 (8")
Straps didn’t hold up my two herding dogs did a number on it but it is a quality product the ball itself is still in tact
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Reviewed in the United States on January 15, 2026
★★★★★ 5
its a great fun toy fir all of us
Color: Red-Blue, Size: Medium Size 2 (6")
its very tough so our dogs cant tear it up but soft enough so they get an easy hold. They absolutely love. great dog toy!
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Reviewed in the United States on May 27, 2026
★★★★★ 5
zelda‘s “indoor” ⚽️ ball!
Color: Squeaky Green, Size: Medium Size 2 (6")
zelda loves her soccer ball - because of the fabric “tabs”, and the way she treats her toys, we keep it inside. she loves to place all of her toys and bones on our bed, after they’ve been cleaned. this ball is perfect and soft enough to throw it down our steps, where she will run down, retrieve it, and bring it back to the bed.
it arrives deflated and comes with the pump and two needles - the pump is not the sturdiest and felt like it was not inflating, but after only having to reflate it once with a bit of air since receiving it ~5-6 months ago, it still holds up!
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Reviewed in the United States on February 2, 2026