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 David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.
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.
by H. Jerome Keisler - University of Wisconsin
This monograph is a companion to 'Elementary Calculus'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.
by Gilbert Strang - Wellsley Cambridge Press
The book covers all the material of single and multivariable calculus that is normally in a three semester course for science, mathematics, and engineering students. The style is less formal and more personal than the typical text.