by William V. Smith
Publisher: Brigham Young University 2001
Number of pages: 144
Here is a free online calculus course. This is essentially an ordinary text, but you can read it online. There are lots of exercises and examples. This text is somewhat unusual for two reasons. The text is rigorous. (Proofs are done for nearly everything - eventually.) We do calculus in both one and two variables at the same time.
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Download or read it online for free here:
by K.D. Stroyan - Academic Press, Inc.
This is a fresh look at the foundations of calculus. The book will be useful reference for students who like the 'theorem - proof' approach to calculus, these proofs are completely rigorous in the sense of modern mathematics.
This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.
by Viktor Blasjo - Intellectual Mathematics
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning. Always gives the most illuminating proofs possible, while standard books obscure key ideas under pedantic formalism.
by Jerrold E. Marsden, Alan Weinstein - Springer
The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. The exercise sets have been carefully constructed to be of maximum use to the students.