Is Spivak an analysis book?

Spivak’s Calculus is a wonderfully written and challenging introduction to Analysis. Anyone studying in the fields of Applied/Pure Mathematics, Statistics, Computer Science and Physics must pick up this book.

Is Apostol Calculus an analysis book?

Apostol’s Mathematical Analysis is a classic introduction to analysis. The book truely is an advanced calculus book, which makes it a great place to start developing the fundamental concepts of analysis.

Is Spivak’s calculus textbook any good?

But I can say that Spivak writes one hell of a calculus book 🙂 Like most of the other posters, I’m not familiar with Apostol’s textbook, but I own Spivak’s (and his “Calculus on Manifolds”) and it is quite a rigorous treatment of the calculus. It’s midway between the standard calculus text and a rigorous real analysis text, like Rudin’s.

What is the best book to start learning multivariable calculus?

Volume 2 of Apostol is actually one of the best introductions to multivariable calculus. Apostol’s book also has a greater variety of exercises involving applications of calculus to physics. If you have time, learning from both books is a good idea. Otherwise if your main focus is pure math, then I would recommend Spivak.

Are Apostol and Spivak’s books worth reading?

Apostol and Spivak might as well be introduction to analysis books. In my opinion. It really depends on what you want to do. If you want to learn more about the theory of mathematics. In which case, Apostol is fine though a little dry. Spivak’s writing style is a bit more engaging, but his book only covers single variable.

What are some of the best books on calculus and analysis?

Thank you. Spivak’s Calculus and Calculus on Manifolds (for multivariable calculus) are pretty standard rigorous calculus texts. Rudin’s Principle’s of Mathematical Analysis is standard for a first analysis course, but may be too abstract for a physics course.