Mathematics for Engineering Students

[@dylanparker130]

As an undergrad, every Prof wants you to buy some book or other. I bought just 2: - Thomas' "Calculus" - Kreyszig's "Advanced Engineering Mathematics".

[@alanbaker6098]

100% agree. Kreyszig was the book we used for the two semesters of math review during Master’s Mechanical Engineering at Purdue a couple decades ago. Another reason to study Fourier analysis is the numerical implementation in FFT is used everywhere is signal processing. Another topic complex analysis … the complex form of harmonic forcing functions (like a sine wave time history forcing a beam to vibrate) is used to immediately get to magnitude and phase of response… profoundly insightful for applications. Good luck!

[@manonamission2000]

After you've mastered Fourier analysis, which has been used in modeling aspects of human vision, try exploring wavelet analysis

[@jinuj171]

Actually i am weak in complex anlysis section can praticing this book question help me improve

[@WarriorBane]

Also entering calc 3 soon starting to self study mostly worried about electricity, light & magnetism physics with calculus which is why I have read 4 chapters, good luck all & congrats on 500k👌💫

[@viverasschweiz]

thx

[@americanhero8606]

You'll do great in Calc III I would bet. The only really hard part is grasping the parts on Jacobians (change of variables) and the Divergence/Curl/Stokes/Greens Theorems, but those are usually at the end of the course. Just make sure you focus your early self study on knowing how to understand vector-valued functions and the ideas of partial derivatives. At least you shouldn't have to encounter any Series/sequences material, if that is something you may have dreaded from Calc II as do a lot of people.

[@WarriorBane]

@@americanhero8606 good to know. I managed an A in calc 2 but it was not easy I hear calc 3 is the easiest calculus out of 1, 2 & 3 but I"ll get a head start just in case

[@armenpoghosyan4998]

@@americanhero8606 it's interesting because we never learned what the Jacobian is, we always just kind of knew what to add to an integral depending on what form we were changing to.

[@armenpoghosyan4998]

@@WarriorBane it's definitely challenging in terms of theory, although there isn't as much to remember like calc2

[@davidtindell950]

Yes - I used Kreyszig's "Advanced Engineering Mathematics" to support my B.S. studies in Aerospace Engineering. Thank you for your review and the other listed resources.

[@syedkazmi2589]

started watching your videos now i cant stop everytime you upload new videos. keep going :D

[@JeffRyman69]

Good advice. I used Kreyszig for two semesters of engineering mathematics back in the late 1960s: complex variables and linear algebra. I didn't have time to take the other class taught from the book: vector analysis.

[@FlaminTubbyToast]

I think that an interesting way to do the problem sets for a maths note book would be to have two sets per section. Only one set would have the answers. The other would be left as an exercise to the reader. Notable notes. The problem set with solutions is there to prevent large difficulty spikes (sometimes the problems without solutions are also really difficult but are similar{integrating 1/x^n vs. 1/c^n +1}) The other set doesn’t have provided solutions to the professors either. “The proof is trivial and is left as an exercise to the reader”

[@isaacobeng754]

Thanks a lot for your great work ❤❤❤

[@meshackgaolathe6492]

I have had this book and another one called “Engineering Mathematics , K A Stroud” since 1976. Originally published in 1962, it has stood the test of time really

[@freespeechisneverwrong9351]

KA Stroud is standard book for engineering - really the best but I will seek out Ermin Kreyzig.

[@Real_LiamOBryan]

@@freespeechisneverwrong9351 Have you found Kreyszig to be any better than Stroud? I have both volumes of Stroud.

[@stefanobio7045]

​@@Real_LiamOBryan The Stroud maths book is the one to purchase.

[@dimitrioskalfakis]

yes, of course, had the 5th edition of this book in 4th or 5th semester and i really enjoyed it :-)

[@smartdoctorphysicist3095]

Hi I will look for it , thank you.

[@puffthecatpuff8931]

I have tried self study. I would suggest no music, and write, write, write.

[@puffthecatpuff8931]

Show your work, and check your answers.

[@edwardsmith-rowland2852]

My school switched from Kreysig to O'Neil. I was sad. Kreysigs Differential Geometry is available as a Dover reprint.

[@rahulsubramanian6545]

Mathematical methods for physics and engineering was the book recommended by a few in YT for learning maths needed for physics.

[@kimchee94112]

Have the same edition that came with a dust cover. Used it as second year calculus a lifetime ago.

[@omarwest2430]

Thank you sorcerer. What do you think is the best degree to pursue for someone interested in the theoretical aspect of maths but worried about job applicability? Pure/applied mathematics, physics or computer science? Which one of those leaves at the same time more room for a possible academic career?

[@richardaguinee7449]

A superlative maths textbook in engineering science after 50 years since my time as a student. There is one other brilliant textbook on Mathematical Analysis by David Hilbert and Richard Courant for Electrical Engineers and Physics students

[@gopalparam6401]

My best wishes to the engineering student in Hungary. Kreyszig is a wonderful book and I would like to also suggest a book by Greenberg with the exact same title for an additional reference.

[@glennedgar5057]

I had a course on this book in 1973. For a Metronic Engineer I would suggest the KZbin channel, Control Bootcamp and his main KZbin channel as well. The KZbin channel is taught by a Professor from the University of Washington. Very hands on a practical. There are years of youtube videos including numerical techniques as well as nonlinear control. The only thing missing is senarios where the motor has finite power and integrator windup. These youtube videos are years of control theory problems. The professor has a PHD in applied math and there is a rigous math foundation presented.

[@Asero100]

Hello math sorcerer, Im an architect and i design using parametric design methodology with special softwares for it but i want to turn into a specialist in that what books do you advice me to read regarding parametric curves and surfaces and geometry in order to stand out in the field of parametric design .. would appreciate if it is an easy to understand book … much respect

[@chet3030]

What's your opinion about Wylie's Advanced Engineering Mathematics book compared to Kreyszig for self-studiers?

[@robertovolpi]

A nice and affordable synthesis of applied math after calculus.

[@byronservies4043]

I wonder if any school still uses "Div, Grad, Curl and all that" as a supplemental text? I liked that one.

[@Jim-be8sj]

I've recently seen that one used as a supplementary text for physics courses in electricity and magnetism at the University of Colorado.

[@byronservies4043]

@@Jim-be8sj That was how it was used when I attended Harvey Mudd in the 80's

[@wburris2007]

I have the 8th edition of this book. What do I need to learn before getting into this book? I have done 4 calculus classes, a differential equation course, and two linear algebra courses, but that was 40 years ago. Maybe I should just dig in and refer to other books when I get stuck.

[@rich_in_paradise]

Most important areas for engineering are undoubtably calculus, differential equations and linear algebra, which is why you'll find them in every engineering mathematics book. IMO, Kreyszig is a bit too advanced. I mean you can look at the contents and judge for yourself, but I wouldn't pick it up until you've gone through all the subjects in a standard engineering math book.

[@thomasblackwell9507]

The best book on the subject!

[@Martin-iw6ke]

what chapters should I focus on before heading into my engineering course in circuits

[@glennedgar5057]

A question for the general audience. For my application I needed a registry which looks more and more like a graph data base. Are there any work in the fields of graph algorithims which give guiadance on how to setup a knowledge base. Currently I use a tree based system, which has limitations. My times I solve a problem and find out that if I had the relevant math then the problem would have been solved much quicker. A lot of Engineering Math is stuck at the Morse and Fresbauch level. Three excellent math volumes so that engineers could understand Radar. The time has come for more famous books to be written. For example cad designers are using differential geometry to model systems.

[@69erthx1138]

Been cool if Kreyszig had put a dashed curve image of the natural log under the exponential in the same axis. I think this visual would refresh intuition about nature of these two functions being inversions.

[@MathwithMing]

The same author wrote Introductory Functional Analysis , which is freely available online, and it has solutions to most of the problems. Very accessible too

[@aesmon]

Partial Differential Equations by Nakhle Asmar, be sure to get the 1st or 2nd edition

[@adham400]

How does one improve their math inutition in 3D? i got A in calculus 3 but I still have really bad inution when it comes to picturing 3D rotations or anything really

[@vincentli9106]

Ever seen Orthometric and Isometric drawings? do those, search up drawings of a part described via isometric drawing and the exact same drawing but orthometrically drawn. Try to derive the orthometric drawings from an isometric drawing and vis versa. Sorry, context. Isometric drawings are where basically all angles are 120 and all parallel lines remain parallel regardless of distance, and you see the right, front, and top of the part. Orthometric drawings are a collection of 3 2d drawings of that particular part's right, front, and top views. Do those, cross reference and do worksheets, you'll get on top in no time!

[@euns1156]

Could you please review math books for economics?

[@TheMathSorcerer]

Yeah I have a few of those, good idea!!

[@p.kalyanachakravarty7530]

Hello Math Sorcerer! Can you please make a video on Quotient groups and their use in Physics ? Thanks in advance..

[@carlzthegodbeach930]

Hey Sorc, I've always wanted to be good at math, but when I was younger (around algebra 2 level) I found it hard and only did the bare minimum. Any books for someone starting from the ground up to learn math again? Thanks in advance :)

[@McFlashh]

Engineering mathematics books are the best maths books.

[@ananthakrishnank3208]

I am preparing for GATE examination for CS. I am looking for self-study book on Calculus, Linear Algebra, Discrete Mathematics, and Probability and Statistics. It seems the book does not have sections for Discrete mathematics like - combinatorics, sets, functions, monoids, lattices etc. But will get my hands on it one day!

[@freespeechisneverwrong9351]

Standard text for Engineers - “Engineering Mathematics by KA Stroud. And of course the aptly titled sequel “Further Engineering Mathematics”

[@douglasstrother6584]

I bet that Mir Publishers has a number of texts on Applied Mathematics, Engineering, etc. in Hungarian. I used "Mathematical Methods in the Physical Sciences" (2nd Edition) by Mary L. Boas back in the day as a Physics Undergrad; second & third years students are the target audience. Used 3rd Editions are inexpensive.

[@TheMathSorcerer]

Nice

[@Simon-lb2iu]

I used this book at Uni and am now self-studying maths again so recently purchased it at a second-hand bookshop (7 th Edtion). It was in good condition and cost $10 AUD :) (about $6.70 US).

[@Pootycat8359]

Ebay has them from about $7.00 to $150+. I think....I just ordered the $7.00 one, so you may have to pay a little more :)

[@HT-rq5pi]

Do you have any popular math book recommendations? There are some books i've recently come across that halfway between popular books and textbooks such as Paul Nahin's "Hot Molecules, Cold Electrons" (its an electrical engineering math book on partial diff equations, fourier transforms but also lots of interesting history about the heat equation and the telegraph etc.) or Eugenia Cheng's "Joy of Abstraction" (its about Category theory). I personally find these books much easier to work through after a hard day of work compared to a dense textbook so was curious if you've read those types of books and have any recommendations.

[@Curtessiupostol]

Do you have advice for taking notes from textbooks? I know you have made a video about notes but I’m a self-study and usually, when I take notes, I just write lots of words from the textbook and I realize that's a waste of time and paper and energy. Thank you, have a good day

[@viverasschweiz]

nice input thx

[@raul0ca]

Looking at these old math books and seeing how well they plot things makes me want to up my janky plot game

[@manonamission2000]

That earthrise photo is worth the price of one semester's tuition... lots to unpack

[@1rm2]

I somehow find Riley, Hobson & Bence to be better (Math methods for Physics and Engineering). There's also Michael Greenberg's book on Engineering Math to consider (another good one, I think).

[@douglasstrother6584]

The length of this video: 1, 1, 2, 3 ... The Math Sorcerer casts another spell upon us.

[@melborja5152]

I have the instructor manual of this 9th Ed 2006 pdf

[@grumpyed58]

I used it (nuclear engineering) in the late 70's

[@cylonscion5470]

Hi, do you have any book recommendations for mathematics for economics (can be for undergrad or grad level )?

[@puffthecatpuff8931]

Um, why is the pictures blurred?

[@puffthecatpuff8931]

I Googled the book, and the second result has a download; do not know if it was legit or not.

[@puffthecatpuff8931]

Maybe it's because I am watching a low resolution version.

[@fernandoramirez1917]

hi i follow in english ans spanish and I think this book has a 10 editions. But it seem good thanks.

[@LongeAntia]

Please how can I get the soft copy of this book 😅😅 please 🙏

[@theskepticai3653]

I need to study Category Theory for programming, But I don't know How to start??? please help me

[@bijoykhakhalary9002]

Can you please suggest calculus books for indian students

[@anishsaha1651]

Hi, i would like to learn calculus from scratch. Could you please recommend some self-study books? (Australasian editions, since I live in Australia)

[@georgecarlinn6288]

Easy calculus by thomas

[@RoscoesRiffs]

So what's with the coasters? 😎🖖

[@TheMathSorcerer]

I got them for Xmas !! They are mtg coasters, I also collect mtg cards❤️

[@RoscoesRiffs]

@@TheMathSorcerer Magic the Gathering? Sorry. I had to look it up. I'm 71. We had checkers and marbles. 😆

[@Simplybland]

Excuse me I know your probably not going to read this but I’m a middle school drop out going back to high school freshman in about 4 days and was wondering if you could make a quick video about simple to slightly advanced algebra .thank you

[@Simplybland]

By quick video I mean tutorial for a dummy I’ve tried finding tutors but no luck please help asap I just want to pass freshmen year

[@mattoucas869]

There's nothing you can't learn as long as you try to learn it.

[@numericalcode]

Anyone have any idea of the differences between this classic edition and the newer ones?

[@SequinBrain]

After considering this over both a class that used it and a few of these videos that discussed its worth, my only caveat would be that it's not a deep-dive into any of the 5-7 separate subjects it contains, being a hybrid amalgam of several classes one would have already taken in a math oriented degree plan. BUT, if one is even moderately proficient in the subjects, this book is both a good bow tie, wrapping up various ideas and presenting some new ones, as in the Fourier sections, and a refreshing review of the various topics. And as such, it becomes an invaluable stepping stone to whatever lies in the post-grad field of classes. So, even though it's a bit too condensed to work well for anyone who knows nothing about any of it and has no teacher, it should still be in the library of any student even remotely considering being serious about natural philosophy. There's a companion guide to this for both Maple and Mathematica programs, I got the Maple one and it brought some of the ideas to life from the main text, which was nice since we didn't have a teacher. This is the Maple one: www.amazon.com/Maple-Computer-Advanced-Engineering-Mathematics/dp/0471386685/ref=sr_1_1?crid=CYEIRBC57GCP&keywords=maple+computer+guide+to+advanced+engineering+mathematics&qid=1673160295&sprefix=maple+computer+guide+to+advanced+engineering+mathematics%2Caps%2C83&sr=8-1 There's another book with the same title by Zill, our friend from DE, that gives some of the hastily rushed parts of the Kreyzsig book more detail and clarity. It's here: www.amazon.com/Advanced-Engineering-Mathematics-Dennis-Zill/dp/1449691722/ref=sr_1_3?crid=2EG9WFJ195TOQ&keywords=advanced+engineering+mathematics+zill&qid=1673161148&sprefix=advanced+engin%2Caps%2C102&sr=8-3

[@richardgray8593]

Somebody on Amazon is trying to get $500 for the 10th edition instructor's manual. YIKES! Still, that's cheaper than tuition at most places.

[@kurtsalm2155]

What's the deal with those cryptic cork coasters? They're scaring me. They look satanic!

[@WarriorBane]

I gotta give it a whiff lol

[@TheMathSorcerer]

lol

[@Avalonanon]

You can find a version of this as a pdf online for free

[@McFlashh]

Many people prefer having the actual book, no PDF can beat that.

[@luisramrod9121]

Maybe when you are 80 years old... Oh man that made me laugh out loud. 😂

[@Zaguzah]

Sniff sniff hooray!

[@bartolobenlordd.9299]

First!

[@robertmorrison1657]

This looks like an interesting book, I have one at home called Advanced Mathematics for Engineers by Wilfried Kaplan. I was wondering whether you know much about the different Mathematics competitions such as the AMC or the IMO. I know those aren't topics you discuss on your channel, but I was wondering about what you thought about it

[@TheMathSorcerer]

Those are interesting. I competed once in a Math contest and I went to training for another contest. I should make some videos on this. I think they can be fun and a good experience to try.

[@robertmorrison1657]

I think it would be cool if you made some videos solving problems from various olympiads. Do you remember the name of the competition you took?

[@johnmifsud2698]

I have the 1983 version of this book. The jerk author did not include the first chapter shown in this video. The book has some great content but his explanation aren't exactly fantastic. You need to good at Maths to make heads or tails. I wish we had done these topics in my mechanical engineering degree as a lot I encountered in the proper subject. For example the material on vibrations i did in 3rd year. If I had done this in Maths I would have aced the subject. Alas it was not done in Maths as that faculty was run by academic morons.

[@datepicboi4870]

First comment :)

[@joseluis8291]

I have to disagree on this one. This book does not explain topics well and it is the worst book in the subject that I found. I prefer other books about those areas. I hated this book and the teacher. They were not good and this book was difficult to read for me.

[@flecktarnenjoyer1504]

Any recommendations?

[@John_Smith__]

Private joke on this channel ... Engineers also use Pencil's ...

[@manleom2260]

YOU ARE A WHAT?....WHERE?....WHO CARES...

[@garystrittmater8258]

I used this book and I thought it was difficult but then, any math at THIS level is NEVER easy and it is very rarely fun, sorry!