A Differential Equations Book Worth Owning

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In this video I go over one of my books on differential equations. I go through every single chapter and try to give a brief overview of what is taught in the book. This is a good book for anyone who is learning differential equations. The book is Schaum's Outlines of Differential Equations.
Here is a newer edition amzn.to/3PMW97d
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30 сен 2024

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Комментарии : 101

@matthewsenay 2 года назад

Laplace transforms turn a calculus problem into an algebra root-solving problem. It makes something difficult into something easy. Three cheers for Laplace and his transform!

@snicketysnickerdoodle8484 2 года назад

In university we called it magic math.

@rontoolsie 2 года назад

Much like logs reduce products/quotients to sums/differences and powers and roots to multiples....the order of complexity is much reduced.

@douglasstrother6584 2 года назад

The correspondence between differntial equations, orthorgonal functions and vector spaces was a gigantic "AHA!" moment for me. It tied together so many pieces of Classical Mechanics, Electrodynamics and Quantum Mechanics into a unified mathematial framework.

@thejohnnyblunder 2 года назад

This book single-handedly helped me pass DiffEq in undergrad. It's fantastic

@TheMathSorcerer 2 года назад

Awesome !

@danielpalmer643 2 года назад

I've become pretty impressed with Schaum's lately. I've been putting together a basic introduction to statistics and feel like I can ignore my basic statistics textbooks to write it. They cover a lot of topics efficiently and have so many solved problems.

@TheMathSorcerer 2 года назад

Ya they are very efficient and concise

@jarrodanderson2124 2 года назад

Differential Equations is the math class I forgot immediately after graduating, even though I had a spectacular professor.

@EddieVBlueIsland 2 года назад

Yes - I have a first addition 1973 bought ~1978 (new) from Krocs & Britanos. It was one of the best - at the time. The main trouble with most differential equation books is a small fact they basicly leave out - some would say lie about - something my Junior collage teacher Ms Marion said in class "Differential equations are solved by basically guessing at the solutin and seeing if it works"

@joncyprus1304 2 года назад

Great video! I also wanted to say thanks for your channel! I saw your learning math from start to finish video and it was perfect as I’ve been wanting to go back and review some foundational things. Also you have such a positive attitude and your enthusiasm for math imparts on to me and likely many others. It’s a joy to watch your videos and watching someone talk about what they are genuinely passionate about as it’s so clear from the way you speak. Keep up the great work man and thanks for everything :)

@ehtesham998 2 года назад

Morris Tennenbaum for Differential Equation is also a great book....

@SuperYoonHo 2 года назад

Thanks so much sir!!! Yrock MS!!!

@larryyonce 2 года назад

There are probably some people out there who have have read this entire book and have worked every single problem!

@TheMathSorcerer 2 года назад

Probably !!

@salmanibrahimkhan2790 2 года назад

If I remember correctly, the first edition of this book was titled 'Theory and Problems of Differential Equations' and was authored by Dr. Frank Ayres Jr. in Schaum's Outline Series. It was the textbook that our class was taught from in third semester of our undergraduate Computer Systems Engineering degree course in Autumn 1987 here in Pakistan. It was a good textbook to learn about Differential Equations too. I still remember we were taught about topics like Variable Separable and Runge-Kutta methods of solving Ordinary Differential Equations in addition to other topics and methods.

@TheMathSorcerer 2 года назад

Oh wow that is super cool! Thank you for sharing this👍

@salmanibrahimkhan2790 2 года назад

@@TheMathSorcerer Thanks for appreciation. Just to mention a clarification that our class was taught from the SI Adapted Edition based on first edition of this book. The full title of adapted book is 'Theory and Problems of Differential Equations in SI Metric Units'. It was adapted by J. C. Ault, M. Sc. who was Lecturer in Mathematics, University of Leicester. The author of first edition of this book Dr. Frank Ayres Jr. was Professor and Head, Department of Mathematics, Dickinson College.

@EddieVBlueIsland 2 года назад

Wrong Schaum Outline series had boththisbook by Richard Bronson which was better than the confusing and somewhat difficult to read Frank Ayres "Differential Equations" which despite "560 solved problems" is as delightfully as a brick.

@AlongtheRiverLife 2 года назад

I love Schaum's Outlines, they got me through a degree in Physics 40 years ago. I highly recommend them as an addition to learning.

@bis9kashdd2as60 2 года назад

M.D raisinghania differential equations book is also a great book

@brianmccormick8328 2 года назад

That book helped get me through my mechanical engineering degree.

@navierstokes2356 2 года назад

Nice video! I'd love to see you doing this format of video review with Lang's Algebra or Dummit Abstract Algebra hahaha.

@TheMathSorcerer 2 года назад

Yes!!

@matteopiccioni196 2 года назад

Man, this channel is awesome.. this book seems the one and only book where everyone should start at least to clear up some concepts and then go through more rigorous manuscripts

@SimonSolves_Math 2 года назад

Hi Math Sorcerer, not sure if you’ll see this as this is three days later, but can you please check out this differential equation book written by one my math professor at my school Arizona State University. His name is Stephen Wirkus. The book is called “A course in ordinary differential Equation” whatever edition you’d like. Thanks!

@TheMathSorcerer 2 года назад

sure will do, thank you!!

@aliyardimoglu5629 2 года назад

Anything from Schaums books is valuable, along with solutions edition.

@SequinBrain 2 года назад

Schaum's are fantastic for any subject. Working on the Topology one now. Could still use a good teacher.

@TheMathSorcerer 2 года назад

Yeah the topology one is good but I hear you, a good teacher helps so much. I was super lucky to have an amazing teacher for topology as an undergrad and also later as a grad student.

@niteman555 2 года назад

When I was still in school, I learned convolutions and Laplace transforms in my signals and systems course before we were programmed to take differential equations.

@susilgunaratne4267 2 года назад

What was the stream you studied that did "Signals & Systems" before you do Calculus?

@daniellindner826 2 года назад

Great vid! I ordered the Schaums in differential equations to supplement my other DE Textbooks like a week ago, so excited for it to arrive! I’m loving the Schaums outline reviews!! Can you make an in depth review on the Schaums in general topology? Would be awesome!!

@coleyoutubechannel 2 года назад

I am taking DiffEq this fall and I feel like the Boyce DePrima ODE book that most universities require has taught me nothing -- I purchased this Schaums outline and the Dover book on ODE's to hopefully ace this class.

@TheMathSorcerer 2 года назад

Sure will do!

@allenofatlanta 2 года назад

You do realize that the publisher of the Schaum's Outline Series, for mathematics, owes you a commission? Because you've sold me on purchasing this outline once I complete studying calculus.

@TheMathSorcerer 2 года назад

If only they would do that for me lol

@aanchal_gandhi 2 года назад

Can you suggest a book for linear algebra

@TheMathSorcerer 2 года назад

The schaums is good as is the book by Anton

@aanchal_gandhi 2 года назад

@@TheMathSorcerer thank you so much

@MrProduktrelaterad 2 года назад

Have you had a look at "Differential Equations with Boundary-Value Problems" by Dennis G. Zill? I just started my differential equations course at uni and we use that book, and would like to know what you think! :)

@ntesla66 2 года назад

I learned from the fourth edition of Zill's text. I still have it and the Schaum's outline. Together, you can't go wrong... in my opinion which is worth what it cost you...nothing.

@TheMathSorcerer 2 года назад

I’ve taught differential equations using that book. It’s pretty good I think👍

@FlaminTubbyToast 2 года назад

Do you know of any stats textbooks for maths majors. To be more specific, I was in a logic/Intro to proofs class and someone brought up the fact that statistics often assumed that the data was non-discrete. I want a stats textbook that will add the rigor.

@azimuth4850 2 года назад

Schaum's tend to be very thorough.

@TheMathSorcerer 2 года назад

Yes very

@tomctutor 2 года назад

I agree an excellent book for U/Grs and advanced engineering students. I think its basically the same book as Schaum's Outline series: "Differential Equations Crash Course" by the same author.

@TheMathSorcerer 2 года назад

Interesting thank you!

@hamzasehavdic 2 года назад

Professor, can you talk about the `Street Fighting Mathematics` (text)? Would appreciate your thoughts :) Hope you are well, you keep pushing me back on track

@trollme.trollmehard.9524 2 года назад

Thanks for this; I've kept pulling this book off the library's shelf and wondering if hindsight would prove it's really the right one.

@raul0ca 2 года назад

In community college our instructor knew we were all broke and used this. He'd work through some of the problems on the board. He'd write with one hand and erase with the other. He said it was more efficient

@hhoudrouge 2 года назад

Hello MathSorcer, could you please suggest some website in North America to buy used books other than Amazon?

@TheMathSorcerer 2 года назад

Abe books is good and biblio

@hhoudrouge 2 года назад

@@TheMathSorcerer thank you 🙏

@lennycarlson1178 2 года назад

I'm considering learning math from scratch. Do you think doing so will improve general problem solving/logical ability in other areas of life? e.g. coding or work projects etc. Would really appreciate your perspective!

@coleyoutubechannel 2 года назад

Definitely

@TheMathSorcerer 2 года назад

I agree with Cole, definitely. It helps clarify your thinking imo.

@satyavivekanandbattula1091 2 года назад

Thanks a lot sir.

@rslitman 2 года назад

As someone who loves to do math problems for fun, one thing I don't like about the Schaum's books is that the answers are right next to the problems. Too much of a spoiler for me. I wish they would put the answers in the back of the book or at least at the end of the chapter or section.

@liamryall-friend296 2 года назад

What’s the partial differential equation book like?

@TheMathSorcerer 2 года назад

I have that one and I used it a little when I studied partial differential equations but I felt like the book I used was better. It’s still worth getting and trying because it’s not expensive.

@liamryall-friend296 2 года назад

@@TheMathSorcerer thank you!

@samosamo4019 2 года назад

Could we get this book here in Morocco

@TheMathSorcerer 2 года назад

I’m not sure.

@adorp 5 месяцев назад

I am going to stop taking your suggestions before I get buried in books.

@SEGA-0 2 года назад

Un Clásico si, también en español.

@goon5544 2 года назад

Self studying the basic electric schaum's and on ch 4 which is all transient rlc circuits which is all differential equations. I was rusty but definitely picking it up. The circuits really test your knowledge of deq's because you have to set them up and run into all sort of integration/differential rules and different responses. It really tests you're de skills for 1st and 2nd order eq.

@TheMathSorcerer 2 года назад

Oh interesting!! I recently Picked up an engineering book I’m excited to look at it!

@user-lb8qx8yl8k 2 года назад

I have it. I teach at the college level and this is the class textbook!!

@TheMathSorcerer 2 года назад

Oh wow that's awesome!

@user-lb8qx8yl8k 2 года назад

@@TheMathSorcerer-- You're absolutely correct about Schaums. Excellent book. I use Shaums outline when I teach complex variables. They do lots of examples and have lots of good problems. And it's not even $15!!

@smartdoctorphysicist3095 8 месяцев назад

Hi thank you I pass that class with an B, so I was very happy.

@davidnelson4960 2 года назад

Thanks for the multiple daily posts. My favorite current RU-vid channel.

@TheMathSorcerer 2 года назад

Thank you !

@coleyoutubechannel 2 года назад

Thank you for this. I've been watching your DiffyQ series and its been a huge help!!

@TheMathSorcerer 2 года назад

Awesome !

@johnchristian5027 2 года назад

I have this book! I am also studying differentials equations in my degree, nice video!

@TheMathSorcerer 2 года назад

Thank you!

@valor36az 2 года назад

Thanks for the review

@aryansudan2239 Год назад

schaum series saves your ass in every semester.

@yugiohsc 2 года назад

I loved this book. It really got me through DiffyQs

@TheMathSorcerer 2 года назад

Nice!

@OhGreatSwami 2 года назад

Fantastic invaluable book!! I think I may have an older edition (? Published 1973). I also have another Schaum’s on Diff Eq ‘s by Frank Ayers Jr that’s very similar in content (not surprisingly) and wording (but I haven’t conducted a detailed comparison). Great video.

@tinajamis4940 Год назад

Thank you so much for this! I just ordered the fifth edition to have for my upcoming Differential Equations college course.

@danielmrosser 2 года назад

Schaum’s outlines are an essential staple of a student’s library in all STEM subjects. Schaum’s are like the ‘sliced bread’ of textbooks.

@carlos1930 2 года назад

I would like to know your opinion about Vector Analysis, also from the Schaum series. In my opinion, it is also an excellent text.

@aikidograndmaster1781 2 года назад

This book is obviously better , than all books used for this class at American Universities...The Schaum's outlines are very good , but the main Problem it that is does not cover all branches of Mathematics .For example there is no Schaum's outline in introductory real variables , none in Number Theory , Algebraic Topology , and the Abstract Algebra Outline is hopelessly outdated , using material not commonly taught...

@TheMathSorcerer 2 года назад

Ya there are some missing. There actually is a schaums real variables but it’s rare so it’s horribly expensive. I don’t have it but I think a few of the subs here do. Anyways I agree about the abstract algebra one. It does have some things that are off. I actually have two different schaums on abstract algebra but I can’t find them currently.

@greense65 2 года назад

@@TheMathSorcerer Can't find your Schaum's abstract algebra books? I'm not surprised. I'll bet the room where you keep your extraordinarily vast collection of math books must look like that requirements room from the Potter movies.

@aikidograndmaster1781 2 года назад

The schaum’s outline on real Variables, is actually Lebesque measure and integration,NOT introductory real Variables .There are 2 abstract algebra for the Schaum’s series , one is written by Deborah Argano and is more Main stream but still strange and it is actually out of print . The original Modern Algebra is written by Frank Ayres a mathematician of about a hundred years ago , and more than half the book is not even abstract algebra