Calculus from First Principles

Limits, Change, Accumulation and the Mathematics of Learning

Rajesh Ranjan Mahapatra

Calculus built from the ground up and carried to the frontier: the real numbers, limits and continuity; the derivative, the mean value theorem and Taylor approximation; the Riemann integral, the fundamental theorem and numerical integration;…

Now on Kindle and Kindle Unlimited as Calculus for Machine Learning: Limits, Derivatives, Integrals, and Optimization from First Principles. The free online edition, the PDF and the companion volumes have been withdrawn.

© 2026 Rajesh Ranjan Mahapatra. All rights reserved.

Cover of Calculus from First Principles