Dr. Vogel's Gallery of Calculus Pathologies
by Thomas I. Vogel
In learning calculus, students develop intuitive ideas of such concepts as limit, continuity, differentiability, and so on. This intuition is useful in dealing with simple examples, but can be a positive hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students and students in advanced calculus.
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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.
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 Samuel Keller - D. Van Nostrand Company
Much that is ordinarily included in treatises on Analytics and Calculus, has been omitted from this book, not because it was regarded as worthless, but because it was considered quite unnecessary for the student of engineering.
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.