Learning Partial Differential Equations

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  • čas přidán 25. 03. 2023
  • This is an older book which was reprinted by Dover. You can use this book to learn Partial Differential Equations. It is called Introduction to Partial Differential Equations with Applications and it was written by Zachmanoglou and Thoe.
    Here it is amzn.to/42Km5XS
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Komentáře • 47

  • @DavidVonR
    @DavidVonR Před rokem +23

    I remember being 20 years old and studying this book by candle light since a storm knocked out the power. Exciting times!

  • @aidenwjt9210
    @aidenwjt9210 Před rokem +40

    I have been using this book as a reference for my Intro PDEs course this semester. It is pretty good and has some good preliminary chapters. However, for a modern PDEs course you probably want a book with tons of examples and practice problems. For this I would suggest "Partial Differential Equations - Theory and Completely Solved Problems" by Hillen, Leonard, and Roessel. Close to 300 pages of the book are dedicated to completely solved practice problems, and it also has some real Midterm and Final exams used in courses at the University of Alberta. Regardless, Dover books are always a great choice as well 👍

    • @annakquinn7084
      @annakquinn7084 Před rokem +3

      Thanks! That book is awesome!

    • @noahpinel
      @noahpinel Před rokem +3

      NOW this is epic, thanks boss I’m totally going to go crush some PDES!!!

  • @robertovolpi
    @robertovolpi Před rokem +6

    It is nice to see this video about the only PDE book I have..
    I like a lot the first chapter of recap of some concepts of Calc III, because I was (and still I am) week in multivariable calculus, and helped me a lot to understand some concept.

  • @ddognine
    @ddognine Před rokem +2

    Brings back memories of my engineering undergrad which didn't require a specific course on PDEs, but, man, were they prominent in nearly every engineering class. The irony is that while all my classes in heat, fluids, thermo, etc. liked to spend time discussing the theory, they invariably and quickly devolved into empirical approximations because PDEs are basically impossible to solve for real world applications. I imagine that is why they're not stressed very much as a discipline.

  • @daniellindner826
    @daniellindner826 Před rokem +4

    I saw this book in another video of yours. I was waiting for a review of this book!!!

  • @lecturesfromleeds614
    @lecturesfromleeds614 Před rokem +5

    I bought a few from Dover, they tend to be the bottom end in price range but you tend to get a lot of content for the money (At least here in Northern England) The Oxford masters series tend to be good quality and good value for money too. I hope that a lot more progress is made in areas like cold Rydberg atoms and some good books start coming out on the subject

  • @Curtessiupostol
    @Curtessiupostol Před rokem +3

    Hey sir, I just want to give a list of book that might be interesting to you.
    -An Introduction to The Theory of Numbers - Niven & Zuckerman
    -Introduction to Calculus - Kuratowski
    -Deductive Logic - Goldfarb
    -Differential and Integral Calculus - Courant
    -Introduction to Probability Theory and Statistical Inference - Larson
    -Geometry - Down
    -Theory of Functions - Caratheodory
    -A Survey of Modern Algebra - Birkhoff & MacLane
    -Algebra - Birkhoff & MacLane
    -Advanced Calculus - Sokolnikoff
    -Theory of Ordinary Differential Equations - Coddinton
    -Partial Differential Equations - John
    -Mathematical Analysis I&II - Zorich
    -Real Analysis - Yeh
    -Advanced Calculus - Sternberg
    - Differential Geometry - Stoker
    -Introduction to Mathematical Logic - Mendelson
    - Introduction to Set Theory - Monk
    -Linear Algebra - Greub
    - Measure Theory - Bogachev
    -Topology - Dugundji
    -An introduction to complex analysis in several variables - Hormander
    -Introduction to mathematical statistics - Hoel
    -Introduction to mathematical statistics - Schmetterer
    -Theory of Sets - Bourbaki
    -Algebra I&II - Bourbaki
    -Principles of Mathematical Logic - Hilbert
    -Theory of Partial Differential Equations - Lieberstein
    -Tensor Analysis - Sokolnikoff
    -Modern College Algebra - Vance
    -Modern Algebra and Trigonometry - Vance
    -Foundations of Analysis - Landau
    All of these are advanced maths books.
    At least take some time checking some of these books😊

  • @alexkalish8288
    @alexkalish8288 Před rokem +3

    My favorite Math subject but I never saw this book. I have Dover books well over 60 years old and they are fine - as good as hard bounds if you don't get anything on the covers. I studied Physics and then got a EE . Partial Diffs and Matrix algebra are my go to skills for design but they have great tools now -

  • @felipesants8936
    @felipesants8936 Před rokem +2

    GOOD BOOK .I USED IT IN , BELIEVE IT, IN THERMODYNAMICS BECAUSE THE BOOK TREATS PFAFF EQUATIONS WHICH ARE THE BASIS OF TREATMENT SECOND LAW

  • @mrtienphysics666
    @mrtienphysics666 Před rokem +4

    i have this book. everything in physics is PDE . thanks for the review!

  • @golagaz
    @golagaz Před rokem +5

    Great episode. Dover books are really good. Also, graduate level Physics.

  • @jmguevarajordan
    @jmguevarajordan Před rokem +2

    That book is a long way more pedagogical text than Strauss book. pdes is a huge subject and this book was written when there was not a standard book or well accepted text book for pdes. So each school has its own textbook. That was the pdes textbook at Purdue. Excellent book.

  • @StaticBlaster
    @StaticBlaster Před rokem +1

    Cool thanks for reviewing this book. I have this Dover edition.

  • @ussdfiant
    @ussdfiant Před rokem +3

    I’m soooo far away from this! I’m watching nonetheless!

  • @JJGhostHunters
    @JJGhostHunters Před rokem

    I have an electrical engineering background. At my university, in undergraduate courses related to electromagnetics and thermodynamics, we used partial differential equations heavily.
    We also used Fourier transforms, Laplace transforms and complex variables almost from the beginning in our electrical circuits courses.
    It is interesting that even some math majors do not spend as much time with these areas and consider some of these topics "advanced mathematics".
    Electrical engineering students consider these topics as tools for understanding electrical engineering concepts rather than topics to be covered in math courses.
    Areas of math that electrical engineers do not spend much time with, however are proof based algebra courses.

  • @putin_navsegda6487
    @putin_navsegda6487 Před rokem

    Thank you, i will check the book and would be happy if you make PDE playlist

  • @kristinasecret1767
    @kristinasecret1767 Před rokem

    Oh! Great! My next two subjects are PDEs and SPDEs ! Thanks

  • @byronwilliams7977
    @byronwilliams7977 Před rokem +2

    Awesome first. I've always wondered what the would look like if the emphasis was placed on teaching students to the highest possible level as opposed to running them through the ringer. Maybe I'm just getting old 😞.

  • @gertwallen
    @gertwallen Před rokem

    Excellent book

  • @Screwfxce
    @Screwfxce Před rokem +2

    Hi there. I’ve just recently found your channel and I’m loving it. As someone who has just recently went back into education to learn/improve on my math do you have a top 5 or 10 books that cover various branches of Mathematics?

    • @musicballfun
      @musicballfun Před rokem +1

      have you tried stewart single variable and multivariable calc yet? i recently got back into math and doing that book front to back (literally 20 odd chapters was very helpful)

    • @Screwfxce
      @Screwfxce Před rokem

      @@musicballfun I haven’t but I will take a look. Thank you!

  • @lecturesfromleeds614
    @lecturesfromleeds614 Před rokem

    Have you even done an open university course books review? The open university (Milton Keynes) create's its own course books for all it's degrees. I'm not sure if you are aware of the university, but it's a distance learning university and one of the biggest universities in the world. Though the university itself is a research university, the undergraduate and masters are all online distance learning.

  • @StaticBlaster
    @StaticBlaster Před rokem

    Do you by chance have "Set Theory and Logic" by Robert R. Stoll?

  • @douglasstrother6584
    @douglasstrother6584 Před rokem

    Does it include using Green's Functions to solve PDEs?

  • @keithrezendes6913
    @keithrezendes6913 Před rokem

    Thx you

  • @lecturesfromleeds614
    @lecturesfromleeds614 Před rokem +1

    I have never come across an applied mathematics (Mathematical modeling) book that was really extensive, the ones I have come across tend to be applications to particular fields. I wonder if there's a monster mathematical modelling book that goes from financial mathematics, computer science to mathematical physics and biology etc? You know, "one book to rule them all" A kind of old school type encyclopedia Britannica but for modern mathematics 🤷

  • @gvi341984
    @gvi341984 Před rokem +1

    Differential Equations Engineering should be the next book

  • @SequinBrain
    @SequinBrain Před rokem

    Was it covered in any text why we only partially differentiate the equation? I'll assume that since it's a subject that there's some use for only a part of the vehicle and not the entire bus. Maybe the Zill text mentioned it in the first pages of the PDE chapter? Does differentiating only partially pose any problems for any applications? Maybe this book explains some of these questions.

    • @austinbrown2238
      @austinbrown2238 Před rokem

      Are you familiar with vector calculus and or/ multivariable calc?
      A partial derivative is a derivative taken in 3 dimensional space

    • @SequinBrain
      @SequinBrain Před rokem +1

      @@austinbrown2238 not so much the vector, but we did part. deriv.s in the DE class. Too often, the books (or when the school doesn't have a teacher like mine didn't) don't explain what's going on, just barely how to do it. So, as usual, once I'm familiar with a concept, I like to reverse engineer both its history and actual function.

  • @adryanblack13
    @adryanblack13 Před rokem +1

    I have that book !!!!

  • @sumbalfraz137
    @sumbalfraz137 Před rokem

    I need this book
    Is it available online ?
    How I can get it?

  • @engsherif4657
    @engsherif4657 Před rokem

    Great thank you and plesed we ned mor reivew in deffreanal equation books realy thanhs eng sherif

  • @itsmix818
    @itsmix818 Před rokem +2

    Could you do a review of the physic books of chris Mcmullen?

  • @God-ld6ll
    @God-ld6ll Před rokem +1

    "No professor, i want to see the Whole DE" new student

  • @ordinaryperson.__1
    @ordinaryperson.__1 Před rokem

    I was thinking yesterday of buying this book 😅

  • @whatever_it_takes6691

    What are your thoughts on Oofy Doofy Theory?

  • @mrnogot4251
    @mrnogot4251 Před rokem

    It says corrected not correct

  • @kalbininkas
    @kalbininkas Před rokem +5

    Dover books today are garbage. The binding is terrible. The paper is thin. The cover design is horrible. The blurbs are full of typos. The "corrections" introduce new errors. Do not buy them. It's easy to tell: if the ISBN is not on the spine, burn it. The one you're holding is one of the good ones though. They used to be great. They were sewn in signatures, they were (actually) printed on acid-free paper, they had great cover designers. Today they are trash. They even rewrite the back cover blurbs and introduce new typos like "modem era" instead of "modern era". They are barely one notch above Amazon's createspace print on demand garbage. And don't even get me started on Springer math books quality nowadays.

  • @_seventh_son
    @_seventh_son Před 11 měsíci

    Honestly, my experience with older books isnt great. They are a harder read compared to modern texts as naturally, methods of presenting material gets better over time.

  • @garystrittmater8258
    @garystrittmater8258 Před rokem

    If it's Dover, it's crap!

  • @adi8oii
    @adi8oii Před 8 měsíci

    Here to see if I can find a good book for Dirichlet and Neuman boundary conditions 🥲🥲