Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...

This course is designed to develop advanced topics of differential and integral calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms, ...

Py-gearworks is built on build123d CAD package. It focuses on accurate geometric representation of gears, gear-pairs. Design calculations related to strength, pitting, efficiency may be implemented in ...

THE authors of this volume have taken for their aim the axiom that the best preparation for the calculus is a suitable course in co-ordinate geometry. The text is thus divided into two sections: the ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. Around 1900, American mathematicians ...

A calculus bridge is a hard layer that forms when hard tartar covers multiple teeth. Regular brushing and flossing can prevent calculus bridges, but once they have formed, they can only be removed by ...

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.

Imagine a small light fixed to the rim of a bicycle wheel. As the bike moves, the light rises and falls in a series of arches. A long-exposure nocturnal photograph would show a cycloid, the curve ...

Lamellar systems with continuous rotational symmetry (CRS) provide an exciting avenue for exploring spatiotemporal pattern formation and the emergence of topological defects in nonequilibrium systems.

Lindsay Modglin is a nurse and professional writer who regularly writes about complex medical topics, as well as travel and the great outdoors. She holds a professional certificate in scientific ...