One Variable Advanced Calculus
by Kenneth Kuttler
Publisher: Brigham Young University 2018
Number of pages: 327
The difference between advanced calculus and calculus is that all the theorems are proved completely and the role of plane geometry is minimized. Instead, the notion of completeness is of preeminent importance. This is a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work.
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by Virgil Snyder - American book company
The derivative is presented rigorously as a limit. Maxima and minima are discussed as the turning values in the variation of a function. The related theories of inflexions, curvature, and asymptotes receive direct and comprehensive treatment.
by Russell A. Gordon - Whitman College
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.
by Leif Mejlbro - BookBoon
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach. It focuses on explaining the central theories and warns students of the areas where mistakes are traditionally made.
by Robert Ghrist - University of Pennsylvania
This text is meant to be read and enjoyed. It assumes you've seen some Calculus before: you know what to do (differentiate / integrate) and how to do it, but you don't know what it really means -- like everything else in life ...