Which book among these would you recommend for first year calculus?
I'm struggling a bit with functions(limits, squeeze theorem, etc).
I have done some research and found a list of books on calculus but I'm not sure which one would be better suited for me, so I would appreciate if some experienced people here could advise me which books would be better to master the basics so I can move on with derivatives, etc. Limits is my main problem, so I need a book which explain this in depth so I can master it. Then I'll keep going on with the same book for other chapters.
Below is the list which I found here:
- Apostol T.M. Calculus Vol. 1 Burn R.P. Numbers and Functions: Steps into Analysis
- Courant R. and John F. Introduction to Calculus and Analysis I - One of the better calculus text in print.
- Crowell B. Calculus
- Dawkins, P Calculus I and Calculus II
- Garrett P. Calculus
- Ghorpade S.R. and Limaye B.V. A Course in Calculus and Real Analysis
- Gill G.S. Calculus Bible
- Guichard D. Whitman Calculu.
- Hardy G.H. A Course of Pure Mathematics
- Hwang A.D. Calculus for Mathematicians, Computer Scientists, and Physicists: An Introduction to Abstract Mathematics
- Santos D. Differential Calculus
- Shapiro B.E. Calculus and Analysis
- Spivak M. Calculus
- Strang G. Calculus
- Thomas G.B. and Finney R.L. Calculus and Analytic Geometry
- Tranter C.J. Advanced Level Pure Mathematics
- Tranter C.J. Techniques of Mathematical Analysis
- Veeh J.A. Lectures Notes on Calculus
So far I narrowed my list down to Hardy, Spivak and Apostol based on further research, but I haven't got my hands on these books yet to compare them and I'm not sure if these books will be good for me.
Thanks.
Solution 1:
Spivak is very good for learning calculus as it has very thorough explanations (though sometimes become too chatty). Be sure to do all the exercises. Have Apostol by your side too.
Solution 2:
Apostol is a classical textbook that we often use also in Italy. Hardy's course is really old-fashioned, while Spivak is probably my favorite although somebody thinks it is a bit harder that Apostol's.