Intuitive Infinitesimal Calculus
by Viktor Blasjo
Publisher: Intellectual Mathematics 2015
Number of pages: 98
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning throughout. Features: Always gives the most illuminating and satisfying proofs possible, while standard books obscure key ideas under mountains of pedantic formalism.
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by William V. Smith - Brigham Young University
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. The text is rigorous. We do calculus in both one and two variables at the same time.
by Arthur Sullivan Gale, Charles William Watkeys - H. Holt & Co.
This book presents the elementary functions; algebraic and transcendental, and their applications to problems arising in various fields of knowledge. The treatment is confined to functions of one variable, with incidental exceptions ...
by C. E. Love, E. D. Rainville - The MacMillan Company
This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
by Robert H. Smith - Griffin
This work presents the leading features in the study and application of the higher mathematics. The development of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination.