Calculus
by Tom M. Apostol · first published 1961
93% recommend7% neutral
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To this day I still pull out Apostol's Calculus textbooks. If you're looking to learn calculus really well, or just brush up, these are the ones. http://www.amazon.com/Calculus-Vol-One-Variable-Introduction...
on “Great Math Books as Recommended by Our Readers” ↗…editions every couple of years to keep the textbook up to date. I'm pretty sure they are lying, at least as far as that explaining the high prices. Here is why I believe this: http://www.amazon.com/Calculus-Vol-One-Variable-Introduction... http://www.amazon.com/gp/product/0471000078 These are Apostol's excellent two volume undergraduate calculus textbook. Volume I is $231.25, and volume II is $189.49.…
on “Why Are College Textbooks So Absurdly Expensive?” ↗Calculus by Tom Apostol
on “Ask HN: good math books” ↗volume 1 of the best series out there... http://www.amazon.com/Calculus-Vol-One-Variable-Introduction...
on “Ask HN: A good book on Calculus?” ↗…time to work on AMC and Olympiad style problem solving, http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php http://www.artofproblemsolving.com/Books/AoPS_B_CP_Olympiad.... and also the best calculus textbooks, such as those by Spivak or Apostol. http://www.amazon.com/Calculus-Michael-Spivak/dp/0914098918/ http://www.amazon.com/Calculus-Vol-One-Variable-Introduction... http://www.amazon.com/Calculus-Vol-Multi-Variable-Algebra-Ap...…
on “A Textbook Example of What’s Wrong with Education” ↗Thanks for the recommendation. $154 new from Amazon and it was written in 1966. Killer reviews though. Thanks again. http://www.amazon.com/Calculus-Vol-One-Variable-Introduction...
on “Common False Beliefs in Mathematics” ↗I guess any introduction to real analysis should cover that. http://www.amazon.com/Calculus-Vol-One-Variable-Introduction... Unfortunately, I don't know any online references out of the top of my mind.
on “The sum of all the positive integers is not -1/12” ↗Calculus by Thomas Apostol (also from the sixties) teaches integration before differentiation as well. Great textbook!
on “A balanced review of Math Academy” ↗…planning to start with high school geometry. If I can find a copy, I'm going to use the same textbook as I used in high school. It was really good. Not sure about what I'll use for a trig textbook. For calculus I'll use Tom Apostol's Calculus vols I and II - that's what we used at Caltech.
on “Ask HN: How often do you go back to the basics?” ↗"Calculus" by Tom Apostol has lots and lots of simple physics applications. I cant think of any obvious applications of calculus to the average non-technical person's daily life. If that's what you mean, you're…
on “Big Picture of Calculus (2010) [video]” ↗My recommendation is "One-Variable-Calculus with and introduction to Linear Algebra" by Tom M. Apostol, followed by "Mathematical Analysis". Both books form a great combination!
on “Ask HN: Math books like SICP?” ↗Supposing you have at least high school mathematics under the belt: 1. Book of Proof by Hammack [1] 2. Tom Apostol Calculus Vol 1 (stop at Linear Algebra) 3. Linear Algebra by Insel, Spence & Friedberg 4. Understanding Analysis by Stephen Abbott 5. Tom Apostol Calculus Vol 2 These are books with excellent exposition, and…
on “Ask HN: Serious mathematics books that can replace a good teacher?” ↗Calculus I, Tom Apostol
on “Ask HN: What are the most eye-opening textbooks you have ever read?” ↗I am planning on using "How to Prove it" by Daniel J. Velleman to prepare for Tom Apostol's Calculus Vol 1. How does "Book of Proof" compare to "How to Prove it" .
on “Book of Proof – An introduction to the methods of proving mathematical theorems” ↗Kind of tangentially related (no pun intended), this reminded me of an interesting article by Tom Apostol, well known calculus teacher and textbook author. Here's the opening paragraph: Calculus is a beautiful subject with a host of dazzling applications. As a teacher of calculus for more than 50 years and as an…
on “Kill Math” ↗