**Dr. Vogel's Gallery of Calculus Pathologies**

by Thomas I. Vogel

1997

**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.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**Elementary Calculus: An Approach Using Infinitesimals**

by

**H. Jerome Keisler**-

**Bodgen & Quigley**

This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.

(

**15121**views)

**Calculus, Applications and Theory**

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.

(

**23029**views)

**Reform Calculus**

by

**Marcel B. Finan**-

**Arkansas Tech University**

These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.

(

**9743**views)

**Foundations of Infinitesimal Calculus**

by

**K.D. Stroyan**-

**Academic Press, Inc.**

This is a fresh look at the foundations of calculus. The book will be useful reference for students who like the 'theorem - proof' approach to calculus, these proofs are completely rigorous in the sense of modern mathematics.

(

**12995**views)