Michael Spivak's Calculus Book

In this video I will show you one of my math books. The book is very famous and it is called Calculus. It was written by Michael Spivak.

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[ryanrussell]

This book was the text used at my college for honors calculus students at my community college. That together with an excellent professor inspired me to be the unemployed mathematician I am today!

[fernandomejias]

A classic of all times!!
Unfortunally Professor Spivak passed away in 2020.
"Calculus", as any other of Spivak's books is a real gem!

[dalitlegreenfuzzyman]

One of the best books ever written. No hyperbole. It’s truly a piece of art.

[markcassidy]

I love this book. I used it to study/learn calculus on my own during one summer. The problems are hard. The text and approach are excellent. Really turned me onto math with its rigor.

[LucasDimoveo]

This book seems like a bridge to an intro Analysis course. I purchased it to start learning Analysis while keeping my computational Calc skills sharp

[ruevictorhugo]

I absolutely love this book. I learned math in a sort of backwards way, since I was a part time student and part time courses were very limited, but the math department decided I could just take whatever course I wanted as directed study - pick a book, no classes, no lectures, just read and come and ask questions. I started with abstract algebra and absolutely loved writing proofs. I then took a summer course in calculus - two weeks of all day classes. (That was my vacation from my job.🤣)Talk about cramming. I barely passed it. Then I did directed study with this book and loved it because abstract algebra and topology were all about writing proofs, so this book was exactly what I was used to.

[scienceskills]

Ciao !
Spivak's Calculus is an amazing book. The depth with which he explains concepts is impressive.
That's a real math textbook that mitigates the churn-and-chug approach of many students.

[jesusandrade]

Spivak's Calculus Fourth edition differs from the third mainly in the inclusion of additional problems, as well as a complete update of the Suggested Reading, together with some changes of exposition, mainly in Chapters 5 and 20.

[AlphaForgeMedia]

Hi sir I am from India, now I am in High school, in just 4 months i will join college for undergraduate course, i love your videos, thanks to spead this valuable knowledge.

[jksmusicstudio]

I remember myself at first year of uni trying to understand the ε, δ definition of limits. I was stuck for about a month on the fifth chapter, reading again and again the explanations. I dont think that any other book would make it as clear as this one did. Definately one of the best introductory texts to advanced mathematics.

[arantheo]

A real gem!
( Essential Calculus with Applications, by Richard Silverman, great as well)

[WritersDigest-bf]

I just got calculus by Spivak 3rd edition.

The book looks great for someone willing to read cover to cover or use it as reference and not suitable for those who like to learn by grasping concepts delivered through solved examples.

This is my first impression about the book.

[johnnath]

Looking at your post brings to mind two interesting texts which I learned my analysis from in my youth. They were both originally published in German, and were later translated into English, which were the text I used. The author was the great German number theorist Edmund Landau (not the Russian Physicist L D Landau), who was originally a student’s of Frobenius (the mathematician who gave the first general proof of the Cayley-Hamilton theorem), with whom he did not get on, and later a student of Hilbert’s. Landau later went on to become one of the founding members of the Hebrew university, Jerusalem, and one of its leading lights. The two texts went by the titles Foundations of Analysis and Differential and Integral Calculus. The former gave a construction of the real number system from a simple postulate system for the natural numbers and naïve set theory and the second gave a rigorous development of the main theorems of the calculus. The text was severe in its approach to rigour – Landau boasted that you would find a single diagram in it. And the second theorem, after the definition of the derivative, was a proof of the existence of an function. I still have my copies of both texts, and I prize them. At high school I was introduced to rigorous calculus by a teacher’s lending me his copy of G H Hardy’s Pure Mathematics, at the time a seminal analysis text in English. At the time I had a lot of difficulty understanding irrational numbers – my problem was that they didn’t make any sense whatever. Hardy helped me resolve most of my difficulties. The two Landau texts removed them all. Alas! by that time I had already left high school..

[ai_serf]

When looking to get into analysis and develop a rigorous understanding of Calculus, I found 3 books always recommended: Spivak, Rudin and Apostol. I went with Apostol which I'm in love with; but if I had one extra life, I'd also like to spend the thousand or so hours I would take to go through every problem in Rudin and Spivak's Calculus books.

[Singularitarian]

Great video! I’m such a fan of these book reviews / commentaries.

[fmeyer_]

Spivak and Apostol live rent free on the back of my mind.

[josepereira]

One great book from spivak is "calculus on manifolds". I ve used it on my "calculus 3" classes

[benhill]

Late comment here, but the 4th edition and the solutions guide arrived yesterday at my home (October 7 2022). Can't wait to use this as my supplement for calculus next year, along with the books by Stewart, Larson, Thomas, and a bunch of others I have 😄Thanks!

[sergeydukman]

"That is crazy. Totally nuts" - exact thoughts of mine when I don't understand math

[hatemalkd]

I hope in some day see your book
And guess it will be brilliant book
I don't know but I guess it will be about calculus because I saw you interested so much at calculus
Good luck for you