As an aerospace engineer, i have all those books too. I keep them on the shelf as a grim reminder of all the starry eyed dreamer friends i lost along the way.

@argonwheatbelly637

3 жыл бұрын

But they're an inspiration to the next generation, like my daughter, who wants to go into the AE field, like you have. My son is heading more towards a CJ/JD route, but then he's only four, so he might change his mind. ;-)

@TheMathSorcerer

3 жыл бұрын

Wow awesome

@argonwheatbelly637

2 жыл бұрын

@Sonic Hedgehog : Son likes Criminal Justice / Juris Doctor. My daughter loves aerospace.

@David-pq6wt

28 күн бұрын

Mechanical Engineer here. I also still have many of the same book. Fond memories

‘Calculus - Early Transcendentals’, James Stewart, 8e... such a nice book.

@hammadirfan31

3 жыл бұрын

In my country. We take Thomas Calculus For calculus

@TheMathSorcerer

3 жыл бұрын

What country? I have an older copy of thomas calculus

@hammadirfan31

3 жыл бұрын

@@TheMathSorcerer Pakistan

@stefanpetrovski5793

3 жыл бұрын

Im using 10th edition now during my Calculus 1 course

@stefanpetrovski5793

3 жыл бұрын

@@sithlordbinks same with me, 1st sem calculus 1 and second calculus 2

"C's get degrees."

@Sam-cv5gd

3 жыл бұрын

What about the GPA ?

@MrCrashDavi

3 жыл бұрын

+

@TheMathSorcerer

3 жыл бұрын

D stands for diploma!!

@andrewerickson3548

3 жыл бұрын

That’s my favorite saying for Integrals!

@vrowniediamond6202

3 жыл бұрын

Then you get rejected outta grad school and go unemployed :(

Sometimes I beat myself up about not being a perfect student, especially with coronavirus and online learning now, thinking I'm gonna have to settle for a fast food career, so it's really reassuring to hear you in one scene talk about having to drop a course cause it's too hard, and in the next scene talk about teaching math in college.

@TheMathSorcerer

3 жыл бұрын

Ya it's a struggle for everyone

@alexandertownsend3291

3 жыл бұрын

Don't give up and keep an open mind.

@thoranevans4832

3 жыл бұрын

For me it's less about the fear of online learning and more about the lack of internships right now during coronavirus :/

I love these videos where you go through a stack or shelf of mathematics books. So many I haven't known about and it is great to get introduced to them.

As a highschooler this was very helpful and insightful. Currently I'm at the end of sophomore year but I've already completed my school's AP AB calc course at the top of the relatively small class (I would have gone for BC if they had it). Next year I'll be taking AP stats at the highschool and they won't have anything left for me come senior year. As a student math is the subject I would never want to stagnate in even for a month or two. I'm having to take part time college classes to avoid it by next year. This definitely helps out for deciding which direction and order I should move in math. My academic/intellectual life goal is to learn, understand, and fully or nearly fully comprehend all branches of mathematics I could have access to.

I love how serway and Jewett write their books. It’s physics almost in story form

@TheMathSorcerer

3 жыл бұрын

👍

Maybe I will change my major after watching this video. I am currently a Math Major as a non-traditional older student. I am also a disabled veteran. So far I am doing pretty good in college. My GPA is just over 3.9, but I am just a part-time student. Older non-traditional student. Believe it or not I am 68-years-old. I'll be 69 in August. As a disabled veteran, I have had to deal with traumatic brain injuries (TBI). It does cause short term memory problems at times. As long as my grades stay above 3.0, I will continue on as a Math Major.

@user-ht8pm8fp3j

Жыл бұрын

Wow! I admire your passion to study!

"Principles of Mathematical Analysis - Walter Rudin" enteres chat. First semester student: Confused screeching.

Thanks!!! This helps me a lot, I can’t afford(time) to start an undergraduate degree in mathematics but I’m definitely willing to learn by myself. This will be a great guide. Cheers!

I absolutely loved Friedberg’s Linear Algebra, I used it for self study for a first course in Linear Algebra and I remember having so much fun with it. I found it incredibly intuitive and challenging, the proofs become progressively more complex so I never really struggled with any. Furthermore, together with Herstein’s Abstract Algebra these were by far the books that prepared the most for, and made me good at, proof writing which later made my study of Analysis very enjoyable and easy going. An excellent recommendation for anyone wanting to learn what Linear Algebra is really about.

@TheMathSorcerer

3 жыл бұрын

awesome!

@gamingisfun53456

3 жыл бұрын

I was thinking about learning linear algebra as my preparation for a uni before i finish highschool. Thx for recommendation, I was struggling to find a good literature on internet.

@spookynelly912

3 ай бұрын

@@gamingisfun534563 years later, and I wonder how all that went

To see books in video above, just click on time in blue highlight. Please correct me if I made any error below. 0:29 Calculus by James Stewart 1:23 Physics for Scientists and Engineers by Serway Jewett 2:13 Modern Physics by Paul A Tiplex and Ralph A Llewllyn 2:35 Logic and Proof by Norman, Sherwood and Bar 3:00 A Introduction to Abstract Mathematics by Robert J Bond and William J. keane 3:26 Mathematical Statistics with Applications by Dennis D Wackerly, William Mendenhall III, Richard L. Scheaffer 4:50 Fundamentals of Differential Equations and Boundary Value Problems by Nagle, Saff and Snider 5:32 Discrete Combinatorial Mathematics by Ralph P. Grimaldi and Frank L. Salemann 6:25 Elementary Linear Algebra and Matrices by Richard M. Caron and Frank L. Salemann 7:22 Linear Algebra by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Sphence 8:26 Partial Differential Equations, An Introduction by Walter A. Strauss 8:55 Fundamentals of Complex Analysis by E. B. Saff and A. D. Snider 10:20 Abstract Algebra, A First Course by Dan Saracino 10:58 Advanced Calculus, A Couse in Mathematical Analysis by Patrick M Fitzpatrick 11:59 Elements of Point Set Topology by John D. Baum.

@TheMathSorcerer

3 жыл бұрын

Thank you!

@2002budokan

2 жыл бұрын

6:25 Salzmann not Salemann

You must have a fun time reading those. As an engineering student, I quite envy math majors or physics majors. My course is fun though but theoretical concepts is much more exciting, at least for me.

@pinklady7184

3 жыл бұрын

What softwares are you using for engineering course? I am just curious.

@Danielle_1234

3 жыл бұрын

If you're a CS you might like EE. It's ofc a bit more pragmatic than pure math, because you're applying what you're learning, but it does have a bit more fun math in it like DSP, statistics, and other fun things that CS students tend to miss out on. Also, studying DS you might like too, as data science covers a lot of the same math an EE might cover like statistics and probability theory and what not. Most DS' don't know it, but DSP can help a lot, so there is even more overlap.

@javidfarhan1675

3 жыл бұрын

same here. Engineering is a bit too fast ig. But parts of it are really fun. I really have fun with analog electronics.

@pinklady7184

3 жыл бұрын

Look up engineering in Pinterest, whatever branches that you are majoring. There, you can find lots of colourful diagrams & illustrations showing formulas, gear maths, electronics, PBC layouts, technical graphics, etc. Also at Pinterest, look up linear algebra, calculus, trigonometry, etc.

Thanks for the video, rare to see sources similar to this one despite it being so important.

@TheMathSorcerer

3 жыл бұрын

Yeah I think it's good for people to know this stuff:)

I feel like getting smarter just by watching this video

@TheMathSorcerer

3 жыл бұрын

Haha awesome

You're such a mensch my man. Thanks for making these videos.

Thank you for putting the links to the books in the description! Appreciate it.

@TheMathSorcerer

3 жыл бұрын

👍

That you so much for this. This is exactly what I need. Out of college for a few years and I have some free time so I'm going to self study the math right. Once Im done I'm planning to dive into string theory. My biggest regret of collage was real analysis always conflicted with some core physics class so I couldn't double. I always knew I really needed to for theory.

I'm impressed you took a physics specialized book as a math major but also surprised no real/numerical analysis, number theory, differential geometry or any kind of geometry classes?

@saulberardo5826

3 жыл бұрын

Edit: just finished watching the video and at least Real Analysis was covered in the "Advanced Calculus" course (the one in which Fitzpatrick book was used, shown in vey end). Still intrigued about Numerical Analysis and Number Theory though Well observed! I've always thought Real Analysis was an essential course for a mathematician, but it seems not be the case. I imagine, in their curriculum, the topics usually covered in Real Analysis must have been covered in the Complex Analysis and Topology courses, with nothing really being left out, while the proof skills must have been included in the second Linear Algebra course

@alexwood3459

2 жыл бұрын

I know this is old but I find it odd too- I teach HS maths and they recently took geometry out of our highest level maths course... not sure why. Maybe some international conspiracy against geometry haha. Just thought it was an interesting coincidence.

@laisensei6984

2 жыл бұрын

I just took numerical analysis 1 in this semester and real analysis in the last. I think I took differential geometry in my sophomore year. I think I'm about to take numerical analysis 2 and number theory in my next semester. Also, I think probability is something that is a must for Math majors as well, which he sorta left out in this video.

Great vid! I used Purcell's for Calculus and it's a pretty decent book for me. Btw in my uni, i need to take geometry classes (Analytical Geometry, Transformational Geometry) and i struggle the most at it

Mate, I love your videos. This channel is one of my favorite channels!

And then there's me, who feels like a beast when I've solved for X

@TheMathSorcerer

3 жыл бұрын

hahaha you are still a BEAST my friend!!! Crush it, solve for X!!!!!

@boujeejams3086

3 жыл бұрын

You’re not alone! I feel like a super beast/alpha when I solve X without a calculator

@xMysticWolf

3 жыл бұрын

@@TheMathSorcerer thank you 😂😂😂

@alexandertownsend3291

3 жыл бұрын

For some problems that can actually be challenging.

Not a math major, but currently taking complex analysis and integral transformations plus P.D.E and fourier series. One of the best courses!

@andreas3850

3 жыл бұрын

How can you enjoy PDE's ?

The Stewart book is especially good for math majors. It is decent enough to learning calculus but it’s specialty is a bock of review and reference.

I love this pile of math books. Mine was very similar. The day I walked into my schools graduate math library and saw rows and rows and rows of math books did I realize my math degree education was nothing but a whiff of the subject. I was sampling a drop from a vast ocean created before my time. Humbling!

was very informative, thanks!

@TheMathSorcerer

3 жыл бұрын

You're welcome!

Interesting to see Calculus by Stewart on there. We went straight into Calculus by Spivak. Haven’t seen Friedberg et al Linear Algebra in years though! Also our first Linear Algebra class! lol Loved that book!

The engineers had a leg up on you in the complex numbers class. EEs use complex numbers/analysis by the end of their sophomore year in circuit analysis. The material on the first test was probably a review of work they had already done in their engineering courses.

@TheMathSorcerer

3 жыл бұрын

Ahh that would make sense , it was so hard lol

@IcyTorment

6 ай бұрын

@@TheMathSorcerer Complex numbers are why EE majors like DC more than AC. It's also why one of my profs a decade ago had to recommend a specific calculator model. Turns out the list of calculators that can solve a system of linear equations containing complex numbers while not having programmability or onboard storage is quite short.

It would be great to see a perfectionalized version, that is, a set of best books (according to you) for a close to perfect curriculum. How would you put together a full math major reading list?

Thank you Sir! English is not my mother tongue but I got you! Really appreciate all your effort! New subsciptor from South America!

I am self studying advance math Thank so much this was really helpful

I really can't wait to learn all of these bad boys!!! Wish me luck!!!

@pinklady7184

3 жыл бұрын

And bad girls?!?!?! 😝 😁

@TheMathSorcerer

3 жыл бұрын

Haha

@edwardgaming466

3 жыл бұрын

@@TheMathSorcerer lmao🤣🤣🤣

Stewart is one of the best math authors. His textbook problems are really exotics. One year left to finish my math bachelor.

@TheMathSorcerer

3 жыл бұрын

Very nice !! Yeah I am going to get some of his other books soon!!

William Keane, who wrote Intro to Abstract Mathematics, was my professor for that class at Boston College. I was lucky enough to take the last class he taught 2 years ago before he retired. Funny thing is, he didn't require his students to get his textbook, and he actually said it would be somewhat of a waste of money because he wrote class notes. He even told me that if I really wanted to get it, I could probably find it floating around online somewhere for free!

Great presentation!

@TheMathSorcerer

2 жыл бұрын

Thank you kindly!

Please upload more math book collection I love it :)

@TheMathSorcerer

3 жыл бұрын

ok:)

"this is what a math degree looks like" *sees cardboard box used as a bedside table* epic.

@TheMathSorcerer

3 жыл бұрын

Hahahaha

I used Linear Algebra Done Right (Axler), Advanced Linear Algebra (Roman) and if you want to do proofs the easy way then use Serge Langs Linear Algebra and have fun with determinants. sheldon axler provides his book free online.

Hey man I love your videos, would you consider make a video similar to this one, taking a bunch of popular majors like physics, economics, engineering, etc and listing the math classes that those majors take, please? Kind of the other side of the coin.

You are my favorite math teacher.

@TheMathSorcerer

3 жыл бұрын

👍

Really great video idea! Would you ever do one for grads students in mathematics?

@TheMathSorcerer

3 жыл бұрын

Possibly! good idea!!!!!!!

You can tell it's a Dover book by the artwork on the cover and the title font. Classic.

Would be cool to see a Discrete Maths showdown and your opinions on Rosen vs Grimaldi vs Epp. This is somewhat of a debate in CS on which textbook is the better one for discrete maths

I've used the same book for a complex analysis course, the last math course I've taken and the only one I've gotten a D in. The course was not required for math majors. I'd also taken: - multivariable calculus (required for both math B.S. and B.A., A, textbook: Calculus, Multivariable: Early Transcendental Functions by Smith & Minton) - intro to differential equations (required for both math B.S. and B.A., A, textbook: An Introduction to Differential Equations and Their Applications by Farlow) - intro to linear algebra (required for both math B.S. and B.A., A, textbook: Linear Algebra and Its Applications by Lay) - discrete structures (not required but recommended as a prerequisite to analysis i, A, textbook: forgot) - intro to mathematical analysis i (required for both math B.S. and B.A., C, textbook: Introduction to Real Analysis by Bartle & Sherbert) - intro to partial differential equations (not required, B, textbook: Solution Techniques for Elementary Partial Differential Equations by Constanda) - intro to mathematical analysis ii (required for math B.S., B, textbook: Elementary Classical Analysis by Marsden & Hoffman) - intro to modern algebra & number theory (not required, C, textbook: Abstract Algebra by Beachy & Blair) - intro to probability theory (not required, B, textbook: Introduction to Mathematical Statistics by Hogg, Craig, & McKean) - geometry (not required, C, textbook: forgot) - intro to mathematical statistics (not required, A, textbook: same as the one for probability) - linear algebra (not required, B, textbook: Linear Algebra Done Right by Axler) I've also taken many physics courses because until my last year of university I was a math & physics double major: - intro physics i (required for math B.S. and for both physics major and minor, C, textbook: forgot) - honors intro physics ii (required for math B.S. and for both physics major and minor, A, textbook: forgot) - intro physics laboratory (required for physics major, B) - intro physics iii (required for both physics major and minor, C, textbook: Vibrations and Waves by French) - intro to computational physics (required for physics major, B) - modern physics (required for physics major, B, textbook: forgot) - thermal & statistical physics (required for physics major, B, textbook: An Introduction to Thermal Physics by Schroeder) - electromagnetic theory (required for physics major, A, textbook: Introduction to Electrodynamics by Griffiths) - electronics for scientists (required for physics major, C, textbook: forgot) - intermediate mechanics (required for physics major, C, textbook: Classical Mechanics by Taylor) - optics laboratory (required for physics major, C) - relativistic physics (not required, C, textbook: Gravity: An Introduction to Einstein's General Relativity by Hartle)

7:25 Can confirm. Maybe the best math book I own as an undergraduate.

I am at UMD where Fitzpatrick teaches (I opted for a different professor for scheduling reasons.). Naturally, we use his book for real analysis. It's a great resource---packed to the gills with material---but definitely not the "gentlest" of introductions to the topic. Let's just say the on-ramp is short and he jumps into the calculus quicker than some other texts. For a more thorough treatment of the fundamentals and other prerequisite knowledge, I like Tao's Analysis I & II or Abbott's Understanding Analysis.

Awesome video!!! I'd like my teacher in university could give me that information!

Hi Math Sorcerer, I’ve been following/ watching your videos. I realized solid geometry/ mensuration topics books was never discussed. It may be good subject to discuss geometry books nowadays does not go in depth in this subject. Solid Mensuration by Kells, Kern and Bland is a well known obsolete book might be a good addition to your collection to discuss.

Yeah, that's about right, but throw in Real Analysis, Complex Analysis, Numerical Analysis (non-CompSci), and your choice of Number Theory, Advanced Probability & Statistics, and maybe Group Theory. I had Combinatorics and Graph Theory as separate courses, but loved both of them. Small, dense textbooks, however.

This video scared the hell out of me , thanks lol.

@TheMathSorcerer

3 жыл бұрын

Lol well remember it takes years to go through all of this stuff heheheh

Serway was pretty good. I used Howard Anton for Calculus and it is my favorite book in the world!!

@TheMathSorcerer

3 жыл бұрын

Nice I should check that one out!!

“This is like the most popular book in the entire world” *the bible enters chat*

@TheMathSorcerer

3 жыл бұрын

haha, should have said, "the most popular Calculus book in the entire world" hehehehe

@robertmorrison1657

3 жыл бұрын

@@TheMathSorcerer Actually, euclid's books are the second most studied books in the world. The most studied being the bible. thought that might be interesting.

@KMMOS1

3 жыл бұрын

Decisions, decisions: Yes, doing nothing is an option, but there are other elder care options for calculus texts: 1) have the book rebound by a local or regional printing firm, 2) remove the cover boards, punch binder holes in the pages, and store them in a three (ore more) ring binder, perhaps with a zip-to-close cover, 3) divide the book into per-chapter segments, and store them in manila folders together with worked solutions in adjacent manila folders in hanging folders in a filing cabinet, 4) recognize the image of Darth Vader's helmet in the cover, then erect a cremation pyre, and hold a math friends funeral party to dance around the burning pyre while chanting and singing. (Watching Star Wars 4-5-6 in advance is recommended.) Alternatively, one could donate the item to a local book pound, and adopt a newer, younger book with similar material as a companion for a longer life.

@t.e.fcastle1069

3 жыл бұрын

The elements entered the chat...

@TheMathSorcerer

3 жыл бұрын

Oh wow

Seeing that Mathematical Statistics Book gave me cold shivers. I'm taking a course in Mathematical Statistics and Data Analysis this year, and it makes me want to cry.

When you said calculus based statistics my mouth dropped to the floor that sounds like so much fun!!

@TheMathSorcerer

3 жыл бұрын

haha awesome

@melanyanguilar5620

3 жыл бұрын

Yeah hopefully I get to take it! Also, hopefully this doesn’t sound weird but do you know how writing is generally used in math related fields? It’s for an English project and I am considering becoming a Mathematician for NASA.

@TheMathSorcerer

3 жыл бұрын

Writing is super important for all types of jobs. Any job where you have to communicate with people in any way being able to write is important!!

@melanyanguilar5620

3 жыл бұрын

Ok thank you for responding! And would you say grammar is still important in math related jobs or no? (Last question I promise😅)

@TheMathSorcerer

3 жыл бұрын

Yes thankfully we have spell checkers but yes it is important.

Interesting video!

@TheMathSorcerer

3 жыл бұрын

Thank you!!!

Great videos. Still waiting for Ahlfors vs Papa Rudin.

@TheMathSorcerer

3 жыл бұрын

👍

Very interesting, ty for sharing this! I’m on a teaching path so it seems physics is not on my requirements

@TheMathSorcerer

3 жыл бұрын

Wonderful!

@randallthomas5207

3 жыл бұрын

So, what science classes do you take so you have a Bachelors of Science? Most of the folks doing the math degree with a secondary education minor took physics as their science, because most of physics, is just calculus.

Congras for 100k subscribers !!

@TheMathSorcerer

3 жыл бұрын

Thank you!!

I remember that calculas book back in hs.

@TheMathSorcerer

3 жыл бұрын

cool

Just got a B+ in discrete, not happy about it, but hearing you say that you did the same is reassuring

I took topology before doing multivariable calculus, and I think it was absolutely the right move. Topology might have been a bit easier to do after or at the same time as, but multivariable calculus is so hard on its own that any advantage is well worth it.

@TheMathSorcerer

3 жыл бұрын

Oh wow interesting!!

@Stinkbug08

3 жыл бұрын

do you remember which book you used?

@martinshoosterman

3 жыл бұрын

@@Stinkbug08 yes, we used Munkers topology

@argonwheatbelly637

3 жыл бұрын

I found it the other way around, but as long as it worked for you, yay!!!

@michaelsommers2356

2 жыл бұрын

Is multivariable calculus really that hard? I honestly don't remember; but my course was a loooooong time ago. I don't remember it being especially hard; it just seemed like an obvious extension of single-variable calculus. But that could just be faulty memory.

I’m a meteorology major and so many people don’t realize how much of a math and physics intense field atmospheric science is. You essentially are applying the laws of physics and math to the atmosphere. Very interesting!

❤❤❤ thankuh friend ..

I’m in the last year of my math degree and I’ve taken most of these classes, but because of my actuarial science minor I’ve taken a math course on interest theory, one on financial derivatives, and one on actuarial models instead of topology, complex analysis, and discrete math. But yea I completely agree with you on how difficult the mathematical statistics and real analysis sequences are, by far the hardest classes I’ve taken

@TheMathSorcerer

3 жыл бұрын

Ya they are tough, interesting to hear that you also thought the statistical theory was tough!!

awesome! i'm in 7th grade and i'd love to take physics and chemistry, these book's is indeed interesting to read! (i'm doing an advance learning btw :))

@argonwheatbelly637

3 жыл бұрын

If you get through Calc 3, Physics becomes a trivial class. You'll love it even more, and that'll lead you to Chem, Orgo, and eventually PChem and BioChem (w/Bio on the way).

@sanchescosta2398

3 жыл бұрын

Take this book if you like advance stuff, quantum field theory and advance topics of condense matter, have fun, I had this courses this semester and this is some cool stuff to learn, I'm a physics major specialized in superconductors

Good video. Congratulations.

Excellent video. Please do another one like this from an applied math perspective.

I wasn't required to take statistics, which looking back was unfortunate. I also took topology early, I think I got a C, but it did help prepare me for the class on Real Analysis.

Great video! I think have never understood Jordan composition, so it's sad that the Caron & Salzmann textbook is out of print. Would you recommend another one please?

I have the Linear Algebra 5th edition by the same author. I also have the Fundamentals of Complex Analysis book.

@TheMathSorcerer

3 жыл бұрын

Nice !!

My high school uses the exact same book. Physics for Scientists and Engineers and Calculus Early transcendentals. Pretty cool

You know you're a math person when you have multiple books on a subject, e.g. more than one calc book, more than one LA book, more than one DiffEQ book. Much of my personal library is math, languages, physics, chems, bio, biochem, crafting, music, cooking, and baking. And it's dwarfed by my sister's larger-than-some-public-libraries collections on a broader range of scholastic and non-scholastic topics. Slide rules. Abacuses. Cards. Dice. You name it. All a tiny fraction of my world, but one in which I choose to show my children. And my daughter LOVES math! It's her favorite subject, and she's in second grade!

@TheMathSorcerer

3 жыл бұрын

😀

I was a math major from 1965-1969 and pretty well took all the same courses in Canada.

@TheMathSorcerer

3 жыл бұрын

Wow

I love math even though I'm not a math major. The highest-level math classes I've ever taken in school are ordinary differential equations, linear algebra and discrete math. If I wanted to dabble in some more advanced math subjects, what would you recommend for me after those three topics I've mentioned? Thanks for a response.

Basically, you're a math major if you survive real analysis lol

Excellent bibliography

It's funny, after 30 years seeing those same books... for Calc I also had Anton's book and Gilbert's S's book. Curious what you think about the latter given it's popularity?

There's a choice here in subsidiaries, like five of them. Physics and statistics are most recommended but there's chemistry, economics, geology and geography. I took geography and physics. For physics I had physics by Halliday, both volumes.

10:20 same here. Abstract algebra was thé best class I've taken. At first, i thought thé best class I'd taken was calculus (probably because i loved Prof Herbert Gross's lecture séries available here on youtube) Then I thought, "no, linear algebra is thé best!" Again, probably because of some online lectures I found on LA by Prof. Gilbert Strang. Now, i think abstract algebra is the best.

@TheMathSorcerer

3 жыл бұрын

👍👍👍

I really had a hard time on calc 1 but I had a great time on calc 2. So now I’m nervous for multi variable calc this coming spring.

@alexandertownsend3291

3 жыл бұрын

Don't psych yourself out too much. Learning calculus 3 may be the most time consuming class (put in at least 2 to 3 hours a day). In terms of difficulty I found Calculus 2 way harder than Calculus 3.

@chichito0930

3 жыл бұрын

Learning calc 3 rn... def easier than calc 2 but a bit harder than calc 1. Honestly its just calc 1 in 3d but with a bunch of vectors. Good luck!

@alexandertownsend3291

3 жыл бұрын

@@chichito0930 You summarized that better than I could.

I’m in engineering and I have some of those books, but most of them are later editions

When you teach a module do you have to understand the entire module at once or do you only have to know the chapter you are teaching at the time super well.

GOD real analysis. I aced it but only because my prof was absurdly generous with grading. I took it literally two semesters ago, much of the class failed because they copy-pasted answers on the take home final off of Chegg and their copy-pasted answers were incorrect.

@TheMathSorcerer

3 жыл бұрын

Lol yeah the struggle!!

@zapazap

3 жыл бұрын

Real Analysis was a relief. Finally a course which depended on a little understanding rather than memorization of techniques.

@grahamzug7344

3 жыл бұрын

@@zapazap I think it is very class dependent. I really liked my proofs class for the same reason you describe, but my real analysis felt like a lot of memorization (it is entirely possible I am biased here, though - I really prefer studying discrete math and it has been my focus whenever I have been able to choose a focus).

Can't find Elementary Linear Algebra and Matrices by Caron anywhere. Not only can't find the book on any store, but I can't even find a mention of it anywhere online (though it may just be drowned out because there are so many linear algebra books). Bit of a disappointment after it was given such a glowing recommendation.

Gonna start applied and computation math with electrical and aerospace engineering next year!!

@zeppelintown3064

3 жыл бұрын

Are you planning for double major?

Hello, have you reviewed Differential Calculus on normed spaces: a course in analysis by Henri Cartan? Would love a video

@TheMathSorcerer

3 жыл бұрын

I have not, thank you for the idea!

I study math in the Czech republic, so I thought I’d just explain how our curriculum works, for comparison. The standard bachelor’s program is called general mathematics, but technically only the first two years are general, in the third year students choose courses based on what master’s program they want to pursue. We rarely use textbooks, most of the material is provided by the lecturer. First year: Discrete mathematics, Linear algebra 1 and 2, Real analysis 1 and 2, Programming 1 and 2, and one more course out of a number of options (I chose a physics course). Second year: Algebra 1 and 2, Real analysis 3 and 4, Measure theory, Numerical mathematics, Geometry, Introduction to probability and mathematical statistics. Third year: Complex analysis (only course mandatory for everyone) I wanted to do master’s in probability or statistics, so my third year also included the following: Probability theory 1, Mathematical statistics 1 and 2, Stochastic processes 1, Mathematics in finance, Introduction to optimization, Functional analysis, Analysis of matrix calculations We also have a mandatory swimming exam, mandatory English exam and four semesters of mandatory sports classes.

@raymondxiao2716

Жыл бұрын

No calculus? Straight into real analysis?

@wiener_process

Жыл бұрын

​@@raymondxiao2716 Indeed. We have to slowly and rigorously define and prove calculus before we actually get to use it. It's considered the hardest class in the first two semesters.

It amazes me how much math there is. It is immense! Probably just as much depth and complexity as say physics and chemistry. You have covered some very esoteric topics in the past. Combinatorics, topology, and other stuff like that. What are your thoughts on differential geometry and tensor calculus?

@TheMathSorcerer

3 жыл бұрын

I never studied those formally in a classroom but I've seen them!! I have a few books on each(not many):)

@TheMathSorcerer

3 жыл бұрын

I have some really weird books, I should do reviews on those!! strange topics:)

@robertmorrison1657

3 жыл бұрын

@@TheMathSorcerer That would be pretty cool if you did. Do you know the applications of combinatorics? It just seemed to me like one of those esoteric topics like onomatology(the study of names.) edit: If this is not too personal, what exactly do you do for a living?

@starshipx1282

3 жыл бұрын

Its very likely to be deeper than the depths of physics and chemistry. Physics etc. Have a hard time with infinities. As for Math, well you see ..... ♾

@robertmorrison1657

3 жыл бұрын

@@starshipx1282 Well Putin my fellow comrade, Math definitely is very dense and deep. Like philosophy. Which makes sense. Math is a branch of philosophy called epistemology, which is the branch of philosophy dealing with how we acquire knowledge.

so many classics in there a bit sad I didn't see the Strogatz Nonlinear Dynamics book haha

@TheMathSorcerer

3 жыл бұрын

Hehe

"This book is okay, it's better than ok, it's pretty good"

@TheMathSorcerer

3 жыл бұрын

hahahaha

I went from James stewart calculus to top apostle mathematics analysis in my junior college

@TheMathSorcerer

3 жыл бұрын

Nice

Can you please make a list of books for an aspirant masters student in economics ? That would be very much helpful

WOW !! INTERESTING !!

@TheMathSorcerer

3 жыл бұрын

👍

Trying to get back into math. No reason but very bored at 22 and I want to be ready if I return to college to major in math. This helped and if anyone out there got anymore books to recommend comment back. :) thanks in advance.

I studied topology before I took my first real analysis course. The grader of that course hated me! (I would do my assignments in terms of 'open covering's and the like.)

@TheMathSorcerer

3 жыл бұрын

Hahahahaha

@TheMathSorcerer

3 жыл бұрын

I could see the grader being frustrated rofl

@zapazap

3 жыл бұрын

​@@TheMathSorcerer : He eventually stopped grading my assignments. I did them anyway and just kept them. Showed them to my prof at the end of term. He just glanced through them and counted them all good. :) He was an excellent prof -- one of my favourites. He was (East) Indian and listened to Indian classical music. Playing some for me he said 'What she is doing is creating a continuous function with her voice'.

Just certain ones I needed discrete chaos cobinayoticsgraph theory and little parts of number theory. I've put to use out here in real life also plus calculus too

I took that mathematical stat course using the same book, think it was 7th edition tho, as an elective under the title probability theory. I remember thinking 'psshh this will be my GPA booster course, I'm taking pde, my capstone, etc etc, I can handle this'. I got a bit of a wakeup call, not a class to sleep on.

Do you have a video on how to decide if a math major is for you or not? Maybe if you dislike a certain course then you should avoid majoring in math or something like that?

@TheMathSorcerer

3 жыл бұрын

Short one kzread.info/dash/bejne/eqNrl6yRpt3NmLA.html

Hi sir, I'm really interested in physics, maths, biology and chemistry and engineering. But i want learn all of the right now (btw I'm fifteen) I wanna be advanced and come up theories that would help people. Any ideas how i can do this? This maths books really help, so i was hoping for more help

Mathematical Stats II was my capstone.