World War II Era Advanced Calculus Book for Engineers

[@ericerpelding2348]

Richard Feynman recommended this book when he taught Mathematical Methods at Cornell University in the academic year 1946-1947.

[@TheMathSorcerer]

Nice

[@frankbrown7043]

Professor Philip Franklin was still teaching at MIT in 1958 when I took Advanced Calculus for Engineers.

[@tmendoza6]

oh man you did it! that is fantastic! old math books are the best!

[@rich_in_paradise]

According to Alibris this book was reprinted in 2012 by Crawford Press and there are new/like new copies available from various sellers (all UK based, so I guess that reprint was done in the UK, all the US sellers are for the 1944 McGraw Hill edition).

[@urekah37]

Just wanted to say thanks for making these videos I have been really enjoying them.

[@TheMathSorcerer]

Glad to hear it!

[@ezekielbrockmann114]

Books written also for ongoing self-study by professionals are the way to go.

[@chet3030]

I love the fact that you not only do book reviews, but you will say how easy it is to read. You also say if the author had a tendency to skip steps (too often a problem in both modern and older books). This is very helpful for the self-learner to evaluate whether it's worth buying a certain book or not. I am curious why you haven't yet mentioned any books on numerical analysis? Numerical analysis is extremely important in applied math since the vast majority of real world problems can not be solved analytically.

[@adarshgopalakrishnan9766]

5:20 You come across a lot of differential equations in engineering after all. In my first year mechanics course, we had to solve a second order differential equation for damped oscillations.

[@SilverSeraph100]

I bought this on ebay a few weeks ago just to add to my collection.

[@TheMathSorcerer]

Awesome

[@homamthewise6941]

Great video as always

[@AceOfHearts001]

Am I missing something to think why on earth is it such a big deal for so many authors to just include answers to ALL the problems they give? Only by watching your channel have I realised that its 'a thing' to include answers to odd numbered solutions or give no solutions at all...surely answers take very little space to write and it would always benefit the reader?

[@clayton97330]

Because the authors haven't worked the problems. My PhD advisor wrote a very large textbook and he did many of the problems, for others he hired graduate students to work them out. Most authors won't put in this effort/money.

[@AceOfHearts001]

@@clayton97330 thanks, but i dont understand, surely to write these problems you would have had to solve them to make sure the probems work...

[@clayton97330]

@@AceOfHearts001 definately not. If you work one problem then create five similar with different coefficients, you can assume it exists. If it's physics or engineering, describe a physically feasible system and you can assume a solution exists.

[@AceOfHearts001]

ok I understand...thanks. Still dont get how after putting all the effort into writing a book bit more work cant be put into solutions, maybe its classy to include odd no. Solutions! Etc. lol

[@4farhan4]

I believe the reason is that many authors think giving all the answers amounts to cheating. I mean the professors assign questions to students. If the student already knows the answer he would go about any random method to get to that answer. Also, I guess they don't want their books to become sufficient for self study. They want the students to remain dependent on and consequently in touch with their teachers.

[@jacobritter9544]

Can you make a video of parts of math books where you found mistakes? Interesting proof mistakes or something? Im sure mathematicians arent always perfect

[@TheMathSorcerer]

Oh that’s very interesting, good idea!

[@mattrose7053]

What is it about walking into a University Book store and loving that book smell ?

[@Snillocad143]

Sometimes you are turning the pages by getting a bite close to the spine or fold. You may like to help preserve such great books by turning the pages from the outer corners...

[@darkfox77]

I not ready to admit that I might smell my books. But I enjoy this content.

[@TheMathSorcerer]

Lol

[@DBZloverKARMYN]

Interesting topic!!!!!!!!

[@goon5544]

Im starting to write solutions and skipped steps i find in the blank areas of the book

[@thequestionx4526]

Is there a ww2 calculus 1 book you can recommend?

[@douglasstrother6584]

The lack of hard-core rigor in a "Mathematical Methods" text is usually explained in the Preface; otherwise a 490-page book would become a 4,900-page book.

[@bantumath3527]

Please recommend book for combinatorics for biggners

[@douglasstrother6584]

I use a pencil & paper to work-out the details, after a read-through.

[@ricke.2205]

I too like the smell of a good book, but . . . Dude, you crack me up. LOL

[@alokrai8785]

hello i am Animesh from India. i just want to ask you that if you can prefer some math book for school that contains maths syllabus from class 6 to 10 or some basic mathematics book inspite of serge lang. thank you

[@thatslife1058]

Read I M gelfand's Algebra, Trigonometry and combinatorics. These three books are gem written for USSR high school students.

[@azimuth4850]

"I just caught a whiff of ancient mathematics" 🤣🤣🤣

[@walterht8083]

I have a question for Math Sorcerer or anybody reading this. What math subject/s should I study to understand tiling problems?

[@dovel9149]

What kinds of tiling problems?

[@IsomerSoma]

I guess graph theory can be useful.

[@pedro134953]

Your so funny when you smell the books. Funny 😂😂😂

[@serred9452]

As engineers you never have to use math unless you have to.

[@AverageYoutuber6615]

WHAT THE HELL ??? SHOCKED How much did something like that cost and where did you even get that

[@dimitrioskalfakis]

bread and butter for electrical engineers ;-)

[@danielmrosser]

Higher Mathematics for Engineers and Physicists by Ivan Sokolnikoff is a superior classic from the same era (c. 1940’s).

[@aramesh428]

Does it have solutions too?

[@danielmrosser]

This book is PACKED with mathematics! The original text was printed in 1934. My copy was printed in 1941. Here’s a topical listening from the TOC: Infinite Series Fourier Series Solutions of Equations Partial Differentiation Multiple Integrals Line Integrals Ordinary Differential Equations Partial Differential Equations Vector Analysis Complex Variables Probability Empirical Formulas and Curve Fitting Bottom line. You can’t go wrong picking up a copy of this vintage classic maths text.

[@AllemandInstable]

**SMELLS S O G O O D**

[@remlatzargonix1329]

I thought it was funny when you said that engineers do need some math....uhm, engineering requires tons of maths Indeed, in first year they use more advanced techniques than typical maths majors. For example,,when studying thermodynamics ( a first year course ), they use line integrals and surface integrals, after only 1 semester's worth of calculus and linear algebra. Usually, maths majors learn about line/surface integrate or complex integration after 3-4 semester's worth of calculus and some linear algebra.... Nevermind differential equations etc. Furthermore,,I know many maths majors that never even studied tensors nor manifolds at the undergraduate level, BUT every engineer does so.

[@adarshgopalakrishnan9766]

True. In my first year of engineering, I had a three maths courses. In mathematics 1, I studied vector calculus, multivariate calculus, double and triple integration and sequences and series. In mathematics 2, I had linear algebra, vector spaces and complex analysis The third course was probability and statistics. I learnt basics of fourier transformation which was required for studying waves and oscillations in mechanics. We learn differential equations in second year.

[@IsomerSoma]

Depends on where you study and what you mean by mathematics. Here's my perspective as a math major theoretical physics minor from LMU Germany. In Germany (or Europe in general) mathematics curriculum is quite different as you skip "calculus 1-3" and start out with actual real analysis (e.g. analysis 1 differentiation and integration of one variable; analysis 2 topology and differentiation of multiple variables; analysis 3 measure theory and integration of multiple variables) and (proof based and axiomatic) linear algebra (2 semesters mostly). Sure with this curriculum you won't do multi dimensional integration in 1st semester but you will study vectorfields and differentialforms in 2nd semester (there's where topology becomes important). Mind that this a quite different perspective from learning calculation techniques. I learned those in my physics minor 1st semester course "calculation techniques for theoretical physics (for minors)" (note: same course as majors but relevant material stops 1.5 months early). Core topics: multi dimensional integration/ differentiation, linear algebra, systems of ODE, vector calculus - additonally for majors: complex calculus, fourier calculus, variational calculus, stability theory (my respect goes out to physics majors). Note that calc 1 is basically being taught in german highschool thus integration by parts, partial fractions and such was included in a "thats the base line, if you don't know it better learn before the semester starts" chapter 0 (80% drop out rate in the first 2 semesters for math/ physics). So i get somewhat where you're coming from: engineers are being bombarded with a lot of calculation techniques without having any time to make sense of the theory behind it. But for engineers it stops there and after the initial hurdle there isn't much more math coming while math majors quickly not only are much deeper into the material but also have a much wider range of mathematical ideas at hand. The actual ideas not just the calculation techniques. It's quite strange hearing that there are math majors in thr US never having studied manifolds while manifolds are important for integration (and useful things like lagrange multipliers). In Germany you won't find a real analysis course not covering them (and ofc you can select a differential geometry course covering them much more closely). Also what do you mean by you having studied manifolds and tenors? This can mean quite different things. I wouldn't say knowing the intertia tensor counts for having studied tensors. I am very sure you have never even saw the definition of a tensor and to be fair it would be completely pointless. To someone interested in application this definition will look like abstract nonesense. So if that's the case you thinking you know what a tensor is quite perfectly describes where the difference in perspective lies. What a lot of math is depends on who you ask. Sure compared to most students of any profession engineers learn a lot of math, but e.g. in my perspective: some.

[@costakeith9048]

I'm really starting to dislike this channel, it's simply too expensive to watch, I'm good enough at wasting money buying old books on my own without getting a constant stream of recommendations. ;) But in all serious, great book reviews, thank you.

[@TheMathSorcerer]

Rofl

[@chriswb7]

I don’t understand why it is not standard that math books include solutions for all problems.

[@thudstamper7965]

How many Calculus books have been published in the last, oh, 50 years? Far too many--and most with friendly fonts and "nifty" illustrations. The old books were way better, serious tomes--and worthy of the subject.