Analysis from First Principles

From the Real Numbers to the Calculus of Learning Machines

Rajesh Ranjan Mahapatra

Real analysis built from the ground up: the real numbers, sequences and series, continuity, derivatives and the Riemann integral; metric spaces, uniform convergence, power series and Fourier series; the calculus of several variables, the inverse…

This book is being prepared for publication on Kindle. The free online edition and downloads have been withdrawn in the meantime.

© 2026 Rajesh Ranjan Mahapatra. All rights reserved.

Cover of Analysis from First Principles