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 Kenneth Kuttler
Calculus and many of its applications are discussed in this book. The reader should have a good understanding of algebra as well as geometry and trigonometry. There is also lots of non standard material, like some theorems of advanced calculus.
by Dan Sloughter
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
by David Guichard, Neal Koblitz
This textbook covers analytic geometry, derivative, transcendental functions, curve sketching, integration, sequences and series, three dimensions, vector functions, partial differentiation, multiple integration, and vector valculus.
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.