Real Functions in One Variable: Calculus 1a
by Leif Mejlbro
Publisher: BookBoon 2006
Number of pages: 146
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach to Calculus. It focuses primarily on explaining the central theories and warns students of the areas where mistakes are traditionally made.
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by John William Mercer - Cambridge University Press
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations.
by Brian S. Thomson - ClassicalRealAnalysis.com
Elementary introduction to integration theory on the real line. This is at the level of an honor's course in calculus or a first undergraduate level real analysis course. It prepares the student for a graduate level course in Lebesgue integration.
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The text represents one person's attempt to put the essential ideas of calculus into a short and concise format. It may not appeal to a wide range of mathematicians, but it should provide most students with a good foundation in calculus.
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Introduction to calculus based on the hyperreal number system for readers who are already familiar with calculus basics. It covers hyperreals, continuous functions, derivatives, geometric interpretation, optimization, integrals, applications, etc.