Book Haul: Nonlinear PDEs, Stochastic Calculus Workbooks, and more!

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  • Опубліковано 11 січ 2025

КОМЕНТАРІ • 15

  • @MathematicalToolbox
    @MathematicalToolbox  29 днів тому +1

    Let me know which book was most interesting to you!

  • @lalrinpuia_tlau
    @lalrinpuia_tlau 29 днів тому +12

    Books/Authors providing Hints/Solutions are the GOAT

  • @edwardgraham-j8l
    @edwardgraham-j8l 5 днів тому +1

    You come up with some neat books ... many of which have never seen or heard of! Thank you!

    • @MathematicalToolbox
      @MathematicalToolbox  4 дні тому

      Thanks! I have very specific interests so I know what I want and what I'm looking for. Whatever kind of book you're looking for you can find it.
      I was starting to give up on finding a probability book that discusses mostly continuous probability and I finally found it. Which book was your favorite or looked most interesting out of this haul?

  • @AliBadaraTraore
    @AliBadaraTraore 29 днів тому +1

    Hello Sir. What do you think of the two following books?
    -> Stochastic Calculus and Financial Applications by Michael Steele
    -> Modeling with Itô Stochastic Differential Equations by Edward Allen
    They both look better than Klebaner. I still need you check the Oksendal. But the two above can be read with just Capinski & Kopp as a measure theory background.

  • @CrazyShores
    @CrazyShores 29 днів тому +1

    Yesss... Another @MathematicalToolbox video! I was wondering what your favorite area is in Math. Is it stochastic calculus?

    • @MathematicalToolbox
      @MathematicalToolbox  26 днів тому

      Thank you for your excitement!
      I'm tempted to agree with your guess, but it might actually be all things differential and integral equations. I believe that's how it started, anyway. I have been spending a lot of time working towards rigorous stochastic calculus, so perhaps you are right!
      Sometimes I feel as if I do not have a favorite subject as I am unwilling to do a deep dive into any of them. e.g. doing a deep dive into PDEs would require reading a book like Evans. This is not something I would ever want to do. Most subjects I am fine with just a first exposure level of understanding. Perhaps this is not the correct way to think about it, though.
      What's your favorite subject? I believe you said you had a background in engineering so I am going to guess differential equations! If so what type of DEs?
      (I feel like I've asked you this before, if so I apologize!)
      Thank you, again.

  • @leocomerford
    @leocomerford 28 днів тому +1

    Is there a book on PDEs that _isn’t_ a nightmare?

    • @MathematicalToolbox
      @MathematicalToolbox  26 днів тому

      Yes and no.
      It depends on your background and what your next target subject is. If you're looking for a perfect book (on any subject) you're not gonna find it. Even if you do find it, it is going to change with your time and experience in math.
      If you want a book on problem solving, i.e. your usual undergrad level type PDE book then you can try some of the PDE books I've mentioned in the following video (Bleecker and Csordas, Wazwaz, and Hillen et. al.):
      ua-cam.com/video/-yksoVsb47s/v-deo.htmlsi=dW_5TfzguVjWHfb6
      Some people within the mathematics community believe books like these to be outdated, but books like these are still being published so perhaps they are not.
      Many scientists and engineers love the book by Farlow, but I found it to be unreadable. I enjoy books with lots of examples and it is lacking in this area. It stays away from theorems and proofs so that might be what you're looking for.
      If you want one that tries to do both, i.e. problem solving and some good, understandable theory, then you can try the one by Pivato. I've also done a video on it here:
      ua-cam.com/video/8Ouf1rSZX7k/v-deo.htmlsi=OOf6cjQHMPmi7X_R
      At the end of the day read the book that you think you'll enjoy, and hopefully finish. I would stay away from the crowd that tells you what books you _should_ be reading. It usually sounds like "if you aren't reading Evans then you're wasting your time". If you want to read Farlow then do it! If you want to read Evans then do it!

    • @leocomerford
      @leocomerford 26 днів тому

      @@MathematicalToolbox Pivato looks very interesting, thank you!

  • @hamantkaushal1182
    @hamantkaushal1182 29 днів тому +2

    I don't know if I'm wrong here, but the Jamie Flux books all seem very AI generated? Like none if the text feels like a "person" wrote them. They have a whole bunch of books on Amazon from a bunch of topics and it seems kind of fishy. This is just my opinion, I'd be more than happy to be proved otherwise if it wasn't the case.

    • @TranquilSeaOfMath
      @TranquilSeaOfMath 27 днів тому +2

      It looks questionable to me as well. On Amazon there is no picture and no bio. Furthermore, one of the book titles seems unrealistic as a modern textbook.

  • @UnforsakenXII
    @UnforsakenXII 24 дні тому +1

    Very analysis biased. : p

    • @MathematicalToolbox
      @MathematicalToolbox  24 дні тому +1

      HAHAHA. I try to stick to what I know, and I've got a few gaps of knowledge in non-analysis subjects. Thanks for the comment!