Unlock the tools of calculus and geometry for plane curves and envelopes.
This edition presents practical methods for analyzing curves on the plane, including how to find maxima and minima, examine envelopes, and apply differentiation to ideas like tangents and caustics. It blends theory with worked examples to build intuition for solving problems in geometry and the differential calculus that underpins them.
- How to locate and classify maxima and minima of functions of one variable
- Techniques for determining envelopes of curves and related loci
- Applications to caustics and other geometric envelopes
- Methods for rectifying plane curves and performing successive integrations
Ideal for readers beginning the study of differential and integral calculus, as well as those seeking a solid foundation in plane geometry and its applications.