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Description
A First Course in Partial Differential Equations: With Complex Variables and Transform MethodsThis popular text was created for a one year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus. Incorporating many of the
This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a course in advanced calculus. These techniques and concepts are presented in a setting where their need is clear and their application immediate. Chapters I through IV cover the one-dimensional wave equation, linear second-order partial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Chapters V through VIII address nonhomogeneous problems, problems in higher dimensions and multiple Fourier series, Sturm-Liouville theory, and general Fourier expansions and analytic functions of a complex variable.
The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/11/1995
ISBN: 9780486686400
Pages: 480
Weight: 1.43lbs
Size: 9.21h x 6.48w x 0.91d
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4.9 ★★★★★
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Product Reviews
★★★★★ 4
Omegaverse
Format: Kindle
I was pleasantly surprised by this omega verse book. This 1 definitely had a few new twists And I really enjoyed reading it. The main female character was a badass and awesome. She had 1 best friend I wish we could have seen a little bit more of their friendship in this book. Her relationship with the male characters was good not to contrived or super instantaneous. And we had some fun plot twists that I didn't expect. I wish we had more of a follow up on the situation with her family her background and her mother who was a wench. I would definitely recommend this book.
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Reviewed in the United States on April 9, 2025
★★★★★ 5
Wow. Just wow. An amazing read
Format: Kindle
This book was eloquently written, or should I say the authors writing style is very eloquent? I loved the characters, and the story was quite compelling. I absolutely loved the FMC, she's a BA who doesn't take any crap & gives as good as she gets. A certain person certainly got his just desserts & then some, the earlier scenes of which were quite satisfying, had me punching the air & everything haha. All in all 20/10, great read
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Reviewed in the United States on November 29, 2024
★★★★★ 3
My opinion
Format: Kindle
Let me preface this by saying I really liked the story and the characters however, this book is in desperate need of some sort of editing. It's not misspelled words or formatting, but continuous run on sentences. Redundancies within the sentences. There were a couple of paragraphs that I had to go back and reread 3 or 4 times. Overall, I'd say it was worth the read.
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Reviewed in the United States on May 29, 2025
★★★★★ 5
Beautiful
Format: Kindle
I love omegaverses I had looked at this one multiple times thinking it's just another book about cocky rock star guys that let fame get to their heads and there are parts like that so I wasn't 100% off. I started reading the second book and met the fmc Astraea from the first one,after she had a run in with the aphla from the gym.😁 it gave me the push to stop and read book one first and im so glad I did this book was amazing their was so many characters I fell in love with hoping they will find their happily ever after. the guys were great, the plot was 🎯, and the ending had me 😭😭😭. I was wondering how nate could ever redeem himself, and he did. the last scene with him was sad, but I also felt it was beautiful. thank you to the author for making a beautiful omegaverse book that gave me all the feels. now I'm jumping straight into book two.
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Reviewed in the United States on March 25, 2025
★★★★★ 4
Knot their Omega
Format: Kindle
It took me a day to really get into the book, there is a lot happening in the beginning of the story. I wish there was more of a time frame because I felt like something’s happened quickly but they were farther away than I thought so that was a little confusing to me. I felt like there was so much happening but also not enough.
As for the story itself I enjoyed it, it was different than other OV I’ve read. Bring the tissues, you will need them. They guys were great, I wish we saw more of Kai and Kenjis relationship. As for Nate…… IYKYK.
I enjoyed this book, my first from this author and look forward to reading about Kamaris story.
Book: ⭐️⭐️⭐️⭐️/5
Spice: 🌶️.5/5
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Reviewed in the United States on October 24, 2024