THE author of this little book writes as if it were the first of its kind, and in encouraging his readers he continually jeers at the professional mathematician in whatmight be regarded as reckless ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

Calculus is the study of change. Calculus teaching methods, however, have changed little in recent decades. Now, FIU research shows a new model could improve calculus instruction nationwide. A study ...

The second half introduces infinite series including power series and develops techniques of differential and integral calculus in the multivariate setting. Applications from a variety of settings ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

THIS book gives a thorough introductory study of the properties of ordinary points in the differential geometry of curves and surfaces in 3-space. Chapter 1 gives an account of twisted curves, Chapter ...