Which is the best book for Calculus?

[iVenky]

I am planning to do some intensive research in Calculus. I don't need books that is full of problems (basically used for passing exams). I want to understand the concepts.


Thanks in advance.

 

[bigdogguru]

There are several excellent texts covering the theory of Calculus:

Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra

Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability (Volume 2)

Differential and Integral Calculus (2 Volume Set)

A First Course in Calculus

Calculus of Several Variables

Keep in mind the above texts are not beginners or introductory texts by any stretch of the imagination, they delve deep into the theory of Calculus and were written by some of the greatest mathematicians of recent times.

The follow text by Serge Lang is a very good summary of his more extensive texts:

Short Calculus

Another good book by Kenneth Ross:

Elementary Analysis: The Theory of Calculus

BigDog

 

[my_books]

Title : Calculus Concepts and Contexts


Author : James Stewart

 

[Severo]

If you just want to learn how to do the math and get it over with I recommend James Stewart's book.

If you want to learn for real I recommend Michael Spivak: Amazon.com: Calculus (9780914098898): Michael Spivak: Books

 

[jon]

Go to these excellent videos on Differential Calculus. This will give you a firm grip on fundamentals. Wow , They are excellent for biggeners
http://www.mathscentre.co.nz/Topics/Differentiation/

These videos are in Integration
http://www.mathscentre.co.nz/Topics/Integration/

Go and find an excellent book on calculus
http://www.mathscentre.co.nz/Topics/Calculus/

Hope this will quench your thist for basic calculus.

 

[Severo]

The video lectures at MIT OCW are VERY good also. They also have print-outs.

MIT OpenCourseWare | Mathematics | 18.01SC Single Variable Calculus, Fall 2010 | Home

Have fun!

 

[rajput9571]

From the series "Dover books on mathematics"

"Essential Calculus with applications" , Silverman
"Advanced calculus", Widder
**broken link removed**

 

[Chipmunk]

There are lots of free course notes, texts and videos about calculus available, here are a few suggestions:

http://www.wisewarthog.com/mathematics/recommendations-calculus-introductions.html

 

[scramble]

check out khan academy... i understood many concepts from there.