Logo

Dr. Vogel's Gallery of Calculus Pathologies

Dr. Vogel's Gallery of Calculus Pathologies
by

Description:
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.

Home page url

Download or read it online for free here:
Read online
(online html)

Similar books

Book cover: Calculus and Linear Algebra. Vol. 2Calculus and Linear Algebra. Vol. 2
by - University of Michigan Library
In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.
(6404 views)
Book cover: Functions Modeling Change: A Precalculus CourseFunctions Modeling Change: A Precalculus Course
by - Arkansas Tech University
This supplement consists of the author's lectures of a freshmen-level mathematics class offered at Arkansas Tech University. The text represents an effort to produce exposition that is accessible to a student at the freshmen or high school levels.
(11628 views)
Book cover: A Problem Text in Advanced CalculusA Problem Text in Advanced Calculus
by - Portland State University
A textbook for majors in mathematics and physical sciences, it concentrates on concepts and proofs. It is intended for students who have completed a standard introductory calculus sequence and who wish to know where all those formulas come from.
(14995 views)
Book cover: Intuitive Infinitesimal CalculusIntuitive Infinitesimal Calculus
by - Intellectual Mathematics
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning. Always gives the most illuminating proofs possible, while standard books obscure key ideas under pedantic formalism.
(4006 views)