Learning Partial Differential Equations

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.

(these are my affiliate links)

***********Math, Physics, and Computer Science Books***********
These are my affiliate links. As an Amazon Associate I earn from qualifying purchases.

If you enjoyed this video please consider liking, sharing, and subscribing.

There are several ways that you can help support my channel:)

************Udemy Courses(Please Use These Links If You Sign Up!)*************
Abstract Algebra Course

Advanced Calculus Course

Calculus 1 Course

Calculus 2 Course

Calculus 3 Course

Calculus 1 Lectures with Assignments and a Final Exam

Calculus Integration Insanity

Differential Equations Course

Differential Equations Lectures Course (Includes Assignments + Final Exam)

College Algebra Course

How to Write Proofs with Sets Course

How to Write Proofs with Functions Course

Trigonometry 1 Course

Trigonometry 2 Course

Statistics with StatCrunch Course

Math Graduate Programs, Applying, Advice, Motivation

Daily Devotionals for Motivation with The Math Sorcerer

Thank you:)

[DavidVonR]

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

[aidenwjt]

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 👍

[robertovolpi]

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.

[Curtessiupostol]

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😊

[alexkalish]

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 -

[ddognine]

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.

[lecturesfromleeds]

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

[felipesants]

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

[daniellindner]

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

[mrtienphysics]

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

[golagaz]

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

[jmguevarajordan]

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.

[JJGhostHunters]

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.

[ussdfiant]

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

[byronwilliams]

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 😞.

[StaticBlaster]

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

[lecturesfromleeds]

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.

[gvi]

Differential Equations Engineering should be the next book

[Jason-os]

Cheer~~~~a tendency or partiality of a particular kind.😊

[lecturesfromleeds]

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 🤷