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Description
Partial Differential Equations of Parabolic TypeThis accessible and self contained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman Director of the Mathematical Biosciences Institute at The Ohio State University offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations. Subsequent chapters
This accessible and self-contained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman -- Director of the Mathematical Biosciences Institute at The Ohio State University -- offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations.Subsequent chapters explore asymptotic behavior of solutions, semi-linear equations and free boundary problems, and the extension of results concerning fundamental solutions and the Cauchy problem to systems of parabolic equations. The final chapter concerns questions of existence and uniqueness for the first boundary value problem and the differentiability of solutions, in terms of both elliptic and parabolic equations. The text concludes with an appendix on nonlinear equations and bibliographies of related works.
Binding Type: Paperback
Publisher: Dover Publications
Published: 04/21/2008
ISBN: 9780486466255
Pages: 347
Weight: 1.04lbs
Size: 9.13h x 6.22w x 0.69d
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4.3 ★★★★★
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Product Reviews
★★★★★ 2
Content seems good, but support files/code are insufficient, and the code seems illogical in places
Format: Paperback
This books starts out great and the content/approach seems solid. But I ran into several issues when the coding portions were introduced, notably when it came to collisions and destroying enemy game objects. There's scripting to set up a bullet behavior, but from the outset the behavior is buggy, and when the "explosion" behavior is introduced, there's no coding to actually destroy the object you're introducing the explosion behavior to. On top of that, the explosion behavior is tied to the playerObj's "onDeath" function, so ... I'm not sure how any of that ties into destroying an enemy game object. This is about 150 pages in.
The go-to method in these cases is, of course, to reference the support files, but these files only include the code and the book images. What's really needed is the Unity project files to ensure the code is being implemented in the components of the game objects and seeing the core structure there. With only the scripts, you can only check your scripts against those, but you can't be sure you're utilizing them correctly and tying it all together in Unity.
Granted, I'm still learning the platform, but things like where you're expected to fire a bullet that has no "destroy gameObject" function into an enemy gameObject that also has no such behavior ... and the behavior is tied to the player? There's definitely something amiss. All the while you're dealing with "soft locks" in the test gameplay that could have been immediately addressed, but aren't. And you can't really move forward with such core inconsistencies in place because you fear the problems would just compound from there.
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Reviewed in the United States on July 31, 2023
★★★★★ 5
Very helpful
Format: Paperback
Given as a gift. They wanted to learn about coding and how it works. They found it very helpful and was able to understand it
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Reviewed in the United States on May 9, 2024
★★★★★ 5
Lots of uses in Roblox
Format: Paperback
Son loves getting these for birthdays and holidays.
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Reviewed in the United States on July 6, 2025
★★★★★ 5
Easy to follow
Format: Paperback
My children are able to follow along. Directions aren't too simplistic nor too complicated. Good for adults too. They are using the skills they learned and adding new ones. Happy with this purchase.
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Reviewed in the United States on May 27, 2023
★★★★★ 4
Maybe Outdated
Format: Paperback
I got this for my brother who is attempting to make a game in Roblox. He said a bit of the information doesn't match the current game-making system, but that the book does have a lot of good information regardless.
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Reviewed in the United States on November 26, 2025