Interesting! I'd be interested in hearing what you have to say about it in a video. I've looked into quite a few more analysis books since making that video, and I've found some very good ones.
It brings me comfort to know I'm not the only person on here obsessed with reading and collecting math books! (I mean that in the kindest way possible :) ) Hope I inspired you to take a trip to a thrift store near you! It's where I've found some great Dover books from ~1960s-1980s. Some books definitely age worse than others, but foundational mathematics, optics, calculi, PDE methods, these are the gems I'm looking for! Sometimes modern presentations distill away deeper details that I'd rather be preserved. Do you have a way that you like to read the books to get the most out of them? Sometimes it's easy for me to lose the forest for the trees, especially when the definitions, theorems, and concepts get more involved. With all the possibilities with scientific computing, I'd imagine that there could be a good way of "interacting" with a book by making various visualizations with matplotlib or Seaborn. Keep up the great videos, I really like the rigor that you approach your content with and your dedication to high quality content.
No, actually, I plan on going to thrift stores this week. I live in a smaller city, so I doubt I'll find anything that cool. I'll try, though! Honestly, I still have the same issue that you do, but I force myself to keep moving. I always try to make progress in my studies even if I don't fully understand it because I intend to come back and review theorems, proofs, definitions, etc. I have been reviewing analysis, and if I stayed stuck on every little detail, then I would probably be stuck on the fourth chapter still! 🤣 I plan on using some flashcards for some definitions and theorems and outlines of their proofs. As far as interacting with a book in such a manner, I'll admit I don't do anything of the sort, sorry! Thank you so much for your nice words, and I apologize for the very late response. I hope that I can continue to live up to the expectations you all have!
@@MathematicalToolbox Smaller cities definitely can be hard to find the types of books we're looking for that's for sure... I hope you find something, but if you don't now, imagine going somewhere adjacent to Stanford/Urbana-Champaign. I bet you'd be able to find tons of Dover/Springer gems at those places from previous students or even professors! No worries at all! I'm just fascinated with finding consistent methods to visualize concepts I've never seen before with tools like Manim, Matplotlib, or even plots.jl. This could also help show how the Julia and Python languages compare to each other for pedagogical purposes. Once I get my butt moving on videos, I'd love to brainstorm with you if you're open. Manim is on my list to learn. Have you thought about using any of the automated proving software packages? Leslie Lamport made something called "TLA+" that seems to be useful in that regard, but I'm not as rigorous in how I study math as a mathematician would be. I do agree with you that forcing yourself to do work is the best way though :) You definitely don't disappoint! The Wazwaz PDE book is now in my own repertoire of references. I'd never seen such a simple introduction to PDEs. Not to mention soliton theory itself in applied mathematics is gorgeous. Hope to chat soon.
My experience with math software and programming is very limited to what I had to use in a few of my math courses. I don't have any plans to work with software, at least not at the moment. I would love to use software at some point to solve some calculus or elementary differential equations problems. I used Matlab when I took BVP to solve some DEs, and I used R when I took Applied Stats. That's about it, quite honestly. I'm not sure if you've heard me say the joke, but a friend of mine used to call me a luddite for my reluctance (and initial refusal) to use software. 🤣 So unfortunately I don't think I'll be of any use to you. If I see or hear about anyone else who shares your passion, I'll be sure to connect you. Sorry! I'm glad to hear about that Wazwaz book being useful to you. It's amazing.
Like, comment, subscribe and share if you enjoyed the video! If you want to support the channel, be sure to use our Amazon affiliate links: Stochastic Calculus 2nd ed. by Calin: amzn.to/48kWfvO Partial Differential Equations by Wazwaz: amzn.to/47Z6WnU Basic Probability Theory by Lefebvre: amzn.to/3RKbEAa Analysis 2nd ed by Binmore: amzn.to/41scxRm The Lebesgue Integral for Undergraduates by Johnston: amzn.to/3RhR3lm
As far as what we _should_ do? Do whatever it is that you need to do to accomplish your goals! If you need a chapter or two from a book, then go ahead and read just those. I only read what is needed. I've completed none of these books, but I've poured many hours into them. I've read most of a couple of them. The tricky part is learning or knowing enough about a subject to know what can be skipped. It helps to skim ahead through books to get a better feel for chapter dependence. I remember seeing a post once on Twitter from a postdoc that said he had only ever read a few books from cover to cover.
Wow, that pretty much goes over everything. It even discusses integral equations. I am impressed! Have you checked out the Hassani book on Mathematical Physics? Thank you.
@@friends53392 I have the Boas book and it seems to be have the same issue that similar books have: lots of content and not enough depth. I never personally needed to use Boas in class, but I tried to use it to review probability and statistics a few years ago. I remember thinking that a student with no previous background or instructor guidance would struggle. Hassani's Mathematical Physics is definitely advanced, but now that we are talking about Hassani, I forgot that he has an elementary book too, similar to the ones we are discussing: Mathematical Methods: For Students of Physics and Related Fields 2nd ed. I am not sure which one of the two you mentioned would be best for you, but I imagine that it would depend on your background and goals as well. I could try and get the Riley book at some point.
Thanks for all your reviews over the year, your channel has the best math books reviews on RUclips, I hope it grows a lot in 2024!
Thank you so much for your nice words and your support over the past year. I appreciate it!
I borrowed Binmore's book, and some others, because of your earlier video. I am impressed with his book.
Interesting! I'd be interested in hearing what you have to say about it in a video.
I've looked into quite a few more analysis books since making that video, and I've found some very good ones.
Great book recs. Thanks!
Thank you!
It brings me comfort to know I'm not the only person on here obsessed with reading and collecting math books! (I mean that in the kindest way possible :) )
Hope I inspired you to take a trip to a thrift store near you! It's where I've found some great Dover books from ~1960s-1980s. Some books definitely age worse than others, but foundational mathematics, optics, calculi, PDE methods, these are the gems I'm looking for! Sometimes modern presentations distill away deeper details that I'd rather be preserved.
Do you have a way that you like to read the books to get the most out of them? Sometimes it's easy for me to lose the forest for the trees, especially when the definitions, theorems, and concepts get more involved. With all the possibilities with scientific computing, I'd imagine that there could be a good way of "interacting" with a book by making various visualizations with matplotlib or Seaborn.
Keep up the great videos, I really like the rigor that you approach your content with and your dedication to high quality content.
No, actually, I plan on going to thrift stores this week. I live in a smaller city, so I doubt I'll find anything that cool. I'll try, though!
Honestly, I still have the same issue that you do, but I force myself to keep moving. I always try to make progress in my studies even if I don't fully understand it because I intend to come back and review theorems, proofs, definitions, etc. I have been reviewing analysis, and if I stayed stuck on every little detail, then I would probably be stuck on the fourth chapter still! 🤣 I plan on using some flashcards for some definitions and theorems and outlines of their proofs.
As far as interacting with a book in such a manner, I'll admit I don't do anything of the sort, sorry!
Thank you so much for your nice words, and I apologize for the very late response.
I hope that I can continue to live up to the expectations you all have!
@@MathematicalToolbox Smaller cities definitely can be hard to find the types of books we're looking for that's for sure... I hope you find something, but if you don't now, imagine going somewhere adjacent to Stanford/Urbana-Champaign. I bet you'd be able to find tons of Dover/Springer gems at those places from previous students or even professors!
No worries at all! I'm just fascinated with finding consistent methods to visualize concepts I've never seen before with tools like Manim, Matplotlib, or even plots.jl. This could also help show how the Julia and Python languages compare to each other for pedagogical purposes. Once I get my butt moving on videos, I'd love to brainstorm with you if you're open. Manim is on my list to learn.
Have you thought about using any of the automated proving software packages? Leslie Lamport made something called "TLA+" that seems to be useful in that regard, but I'm not as rigorous in how I study math as a mathematician would be. I do agree with you that forcing yourself to do work is the best way though :)
You definitely don't disappoint! The Wazwaz PDE book is now in my own repertoire of references. I'd never seen such a simple introduction to PDEs. Not to mention soliton theory itself in applied mathematics is gorgeous. Hope to chat soon.
My experience with math software and programming is very limited to what I had to use in a few of my math courses. I don't have any plans to work with software, at least not at the moment. I would love to use software at some point to solve some calculus or elementary differential equations problems.
I used Matlab when I took BVP to solve some DEs, and I used R when I took Applied Stats. That's about it, quite honestly. I'm not sure if you've heard me say the joke, but a friend of mine used to call me a luddite for my reluctance (and initial refusal) to use software. 🤣
So unfortunately I don't think I'll be of any use to you. If I see or hear about anyone else who shares your passion, I'll be sure to connect you. Sorry!
I'm glad to hear about that Wazwaz book being useful to you. It's amazing.
Your channel is very unique on RUclips, thanks. Also I bought a lot of good math books because of this channel.
Thank you very much for your support! 😁
Happy New Year my friend!
Thank you so much for your support and kindness this year. I appreciate you! Happy New Year! 😁
Great vid again
Thank you!
Like, comment, subscribe and share if you enjoyed the video!
If you want to support the channel, be sure to use our Amazon affiliate links:
Stochastic Calculus 2nd ed. by Calin: amzn.to/48kWfvO
Partial Differential Equations by Wazwaz: amzn.to/47Z6WnU
Basic Probability Theory by Lefebvre: amzn.to/3RKbEAa
Analysis 2nd ed by Binmore: amzn.to/41scxRm
The Lebesgue Integral for Undergraduates by Johnston: amzn.to/3RhR3lm
No Boyce Diprima "Elementary Differential Equations and Boundary Value Problems" ? 😀
HAHAHA. Maybe I should do a video on my least favorite books.
From your experience - should we study the math books from cover to cover or only what is needed ?
As far as what we _should_ do? Do whatever it is that you need to do to accomplish your goals! If you need a chapter or two from a book, then go ahead and read just those.
I only read what is needed. I've completed none of these books, but I've poured many hours into them. I've read most of a couple of them.
The tricky part is learning or knowing enough about a subject to know what can be skipped. It helps to skim ahead through books to get a better feel for chapter dependence.
I remember seeing a post once on Twitter from a postdoc that said he had only ever read a few books from cover to cover.
Can u review mathematical methods for physicist and engineers by Riley Hobson?will be much appreciated
Wow, that pretty much goes over everything. It even discusses integral equations. I am impressed!
Have you checked out the Hassani book on Mathematical Physics?
Thank you.
No I want to have a physical copy of one mathematical physics book.im just confused between Riley book and Mary l boas
Hassani book is advanced
@@friends53392 I have the Boas book and it seems to be have the same issue that similar books have: lots of content and not enough depth.
I never personally needed to use Boas in class, but I tried to use it to review probability and statistics a few years ago. I remember thinking that a student with no previous background or instructor guidance would struggle.
Hassani's Mathematical Physics is definitely advanced, but now that we are talking about Hassani, I forgot that he has an elementary book too, similar to the ones we are discussing:
Mathematical Methods: For Students of Physics and Related Fields 2nd ed.
I am not sure which one of the two you mentioned would be best for you, but I imagine that it would depend on your background and goals as well. I could try and get the Riley book at some point.
Please 😢 ineed book a first course in integral equation by Abdul majid wazwaz because I don't solve exercise
So you want me to do a video on the Integral Equations book by Wazwaz?