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Description
Complex VariablesA 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
A 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.Those familiar with mathematics texts will note the fine illustrations throughout and large number of problems offered at the chapter ends. An answer section is provided. Students weary of plodding mathematical prose will find Professor Flanigan's style as refreshing and stimulating as his approach.
Binding Type: Paperback
Publisher: Dover Publications
Published: 10/18/2010
ISBN: 9780486613888
Pages: 384
Weight: 0.87lbs
Size: 8.45h x 5.41w x 0.73d
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4.3 ★★★★★
Based on 10 reviews
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Product Reviews
★★★★★ 5
Epic!!!!
Format: Kindle
Absolutely addicted from the first page. The twists and turns, world building and character development all come together for the perfect Omegaverse. And let's not forget that spice because knots are life and these are spectacular. Running for book #2 because that cliffhanger was torturous.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on August 17, 2024
★★★★★ 5
Fantastic writing and non-stop action
Format: Kindle
This is a promising, fantastic beginning to what will be a 4-book series. Some readers may be content to read only the first 2 books, but I think you'll find that the story is so good that you'll want to keep reading books 3 and 4.
Book 1 is about omega Elvana's introduction to the "Starling" brothers and their search for another missing person, Kelly. It's a bit of a rocky start, with deception and betrayal a key element. Hardly an auspicious beginning. Each member has their own path and purpose in the pack. Their interactions and the resulting narrative are so well-written that I found it difficult to put down.
There is a cliffhanger that will have you reaching for book 2 as you finish, so make sure you have it on hand.
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Reviewed in the United States on September 27, 2023
★★★★★ 4
Fun read
Format: Kindle
I'm not really into mafia books but I love Roxy Collin's other series so I decided to give it a try. It had the same great romance, spice, swoon-worthy characters and exciting plot that are her signature. Arben was my favorite, although it was a bit sudden how quickly he changed from ignoring her to wanting to be pack. There were almost too many twists/layers of lies to keep track of but I'm looking forward to reading the other books.
The only thing that detracted from the story for me was the need for a bit more proofreading. It was mentioned that Kelly is a female and male at different points, leading me to think she changed her mind at some point about the character's gender but didn't go back and edit it to align in all places. Like another reviewer pointed out, step siblings are different than half siblings. They are incorrectly referred to as step siblings because they (allegedly) share the same biological dad. There are a few other typos as well but those aren't a big deal.
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Reviewed in the United States on March 18, 2025
★★★★★ 5
Stepbrothers, Secrets, and Sizzling Heat
Format: Kindle
Twisted Lies by Roxy Collins is a wild ride through family secrets, amnesia, and a steamy stepbrother romance. When Kelly discovers her life is built on lies, she ends up tangled with three alpha stepbrothers and an assassin who once helped her through a heat.
The tension? Off the charts!
The heat is real, and the complications are messy in the best way. Full of twists, secrets, and fated mates? You'll be hooked from page one!
Love omegaverse drama with a dash of taboo? This one's for you!
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Reviewed in the United States on September 10, 2024
★★★★★ 3
Good read
Format: Kindle
The book has some good twists and turns, but truthfully I was so confused on some things. It didn't have a good flow for me personally. Not sure if it's due to typos or using him/her wrongly, but I thought Kelly was both a guy and a girl. Actually I still don't know, and it made me incredibly frustrated. It would refer to Kelley as him or he, and then again in another part of the story as her she and sister. On to the next book, I hope there is some clarity and a smoother flow. This is a slow burn, and I just don't know how much I care for the Alphas yet. Idk if I recommend.
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Reviewed in the United States on February 8, 2023
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