Which is better Apostol or Spivak?

While both books have complete proofs and a good emphasis on theory, Spivak’s book is better as an introduction to rigorous math because many of its problems are more difficult and theoretically oriented than Apostol’s.

What is theoretical Calculus?

Course Description 18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus.

Is Apostol calculus hard?

Apostol is of course a great book. But reading Apostol without any knowledge of calculus is hard. Basically, you have to learn two things: formal mathematics and calculus. Neither is very easy.

Is Apostol calculus rigorous?

apostol is completely rigorous.

What is calculus 1 called?

Calculus 1 is also known as Differential Calculus, so what you should expect to learn, roughly 75\%, will be Differentiation. First, differentiation is when you find the derivative of a function. The derivative shows us the instantaneous rate of change or the slope at any given point.

Who is Christine Breiner?

Christine Breiner is an Associate Professor of Mathematics at Brown University. Breiner’s research interests include topics in geometric analysis and partial differential equations.

Is Tom Apostol book good?

Tom Apostol – Calculus (very very good, but you need to put in serious effort) Michael Spivak (didn’t read it, but many people say, it’s quite harder than Apostol, but still one of the best books to learn Calculus, although only Single Variable Calculus)

What advanced calculus covers?

The completeness of the set of real numbers, sequences and series of real numbers, limits, continuity and differentiability, uniform convergence, Taylor series, Heine-Borel theorem, Riemann integral, fundamental theorem of calculus, Cauchy-Riemann integral.

Is Apostol calculus real analysis?

This is a very carefully written introduction to real analysis. When Apostol published the first edition in 1957, he intended it to be intermediate between calculus and real variables theory, and it still has a strong feeling of being a transitional course.

https://www.youtube.com/watch?v=1zGTERnxq1o