I Made A Terrible Mistake

I made a terrible mistake. In this video, I will correct that mistake. I will also talk about all of the books you see in this video. The books in this video are Basic Mathematics, A First Course in Calculus, Linear Algebra, and Algebra. All of these were written by the legendary Serge Lang.

Here are the books
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0:00 My Terrible Mistake
2:40 A First Course in Calculus
4:13 Linear Algebra
4:48 Algebra
5:55 Finishing Up
7:10 One More Serge Lang Book

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Thank you:)

[kevinthompson]

For you Lang fans, note that "Undergraduate Algebra", 3rd edition (1987), was previously published as "Algebraic Structures"(1967). When Lang switched publishers to Springer-Verlag they republished some of his books under different titles. I'm working on a list, will post when I get it all deciphered.

[mahraouimohamed]

The best YouTube channel for me. You know I'm 54 and started loving mathematics thanks to you videos. I bought some books to start working on mathematics with my kids. Thanks a lot for sharing.

[zoedesvl]

It was Serge Lang who coined the word "Diophantine Geometry", explicitly making it a branch in modern mathematics. Mordell wrote a review on his 1962 book Diophantine Geometry, heavily criticising the book for being too difficult to read (even for such a prominent mathematician L. J. Mordell!). But Lang responded with no mercy: I write my books as it should be, and nothing else. Both Mordell's review and Lang's response can be found in Lang's Fundamentals of Diophantine Geometry (1983).

[pinklady]

I am sure that the soul of late Serge Lang is both delighted and flattered by your video. This is the way to honour the dead by remembering them and talking about them, respectfully.
In my belief, most deceased souls pick up fans' thoughts from afar, no matter the distance.

[anaghganguly]

Your enthusiasm for Maths is infectious. love your videos!!

[HJohannes]

I actually enjoyed A First Course in Calculus. I got an older edition which was brief and focused on the essentials, without flashy artwork/images or uninteresting applications. I think the oldest edition has been re-released under the title "Short Calculus", less than 300 pages and you learn all the calculus covered in a first course at my uni.

It skips epsilon-delta stuff but is otherwise rigorous, as I recall it. A great book for a beginner in calculus and a great preparation for more rigorous books like the ones by Spivak or Apostol :)

[arnavrevankar]

I was born in 2005, and am now here as a calculus student myself. Even though my school doesn't use Mr. Serge Lang's books for class, this video has persuaded me to get one. Thanks for the recommendation!

[seanvogel]

I appreciate your appreciation for books. It is worrisome that libraries get rid of these old books. Extra copies I can understand if they’re not in demand but I hope they keep at least one… Not just mathematical books but others too.

[arg]

My advisor was mentored by Serge Lange. In fact, 5 of my favorite math professors all graduated from Yale at around the same time, and all studied under Lang. I don't know much about him, but my professors all thought highly of him.

[koningen]

Start with Lang’s Introduction to Linear Algebra. The first edition is only 170 pages and a really good way to get a first (geometric) feel for the subject. You can start it before calculus.

[billmorrigan]

I have Serge Lang's _A First Course in Calculus, _ 5th edition. It's around 600+ pages long and covers the basics (only single variables). I think it is a great book for beginners. I like it how he covers very important topics from elementary mathematics because students don't know them as a rule. Yeah, I know they all say that they studied precalc and that they don't need such topics, blah-blah-blah... *I think they do need it and they don't really know it!*
I also think that most Lang's books are very good. You can hardly go wrong with them. They are indeed a good choice and can also work as additions. Of course, if a student plows through Stewart's _Elementary Algebra and Trigonometry_ which is around 1000 pages and then focuses on Stewart's _Calculus, _ it's even better than doing Lang's _A First Course in Calculus._ I just don't think that's realistic for 99% of students. They would either not have time or will to do that. So, Lang's books are kinda shortcut to get the gist. I guess, Lang's approach is very smart and good for teaching people without crowding them with too much information or tough problems.

[colonelfredpuntridge]

I remember Serge Lang from Yale. He was a true-blue, _bona fide, _ one-hundred-percent weirdo. He had more weirdness in his little finger than most people have in their whole personalities.

[pinedelgado]

Hey there, MS!! I'm among your greatest fans and I love what you're doing. You're a human(e) being!! I LOVE YOUR VIDEOS!!! Whenever I see a new one of yours, I'm like a kid opening up presents on Christmas morning!! YOU'RE AWESOME!!!! :) :) :) :)

[ms_hansel]

I bought Lang's Basic Mathematics based on your recommendation as part of a project to re-learn all the math I did decades ago in high school and college and am really enjoying the book! It's so readable and the exercises are great. Plus, the whole classic simple yellow vibe of the cover is so cool! I will definitely get the Calculus book when I get that far along in my studies! Thanks for the great videos and recommendations!

[oooltra]

I am in awe of the prodigious output of authors like this.

[togather]

I looked at a number of Lang's books, and to me he doesn't seem to be interested in developing computational aspect of a subject, or the student's capabilities thereof, rather he seem to focuse on mathematical ideas and concepts; although that might not be in a very theoretical way. I felt he sought to enable a student to "feel" and to have an understanding of what's going on in the subject, sort of to grasp the subject matter of a book. This was how I thought of his books, generally, and It I found them valuable for that very reason, which make him stand out among math authors.

[mezzoblu]

The 2012 softcover 5th edition of Serge Lang's First Course in Calculus is 746 pages

[nraul]

Hello, I recently bought Marshall Hall Jr's group theory book, how good a choice did I make?

[ctcentralinfo]

My sister went to Union college. Some of my best memories were my parents driving there from NYC. I was in elementary school so I had to come along. I remember My Mom would pack fried chicken with bread and how it actually tasted good cold. I enjoyed seeing the transition from city to rural country side. Small world.

[perkinsdearborn]

Thanks for clarifying the solutions at the back of the book thing. I am enjoying Basic Math. I find the exercises include easy and hard problems.