A Course In Calculus And... - Ghorpade S., Limaye B.

Chapters cover numbers and functions, sequences, continuity, limits, differentiation, Riemann integration , and infinite series.

This first volume provides a self-contained and rigorous introduction to the calculus of functions of a single real variable. Ghorpade S., Limaye B. A Course in Calculus and...

It provides formal proofs for concepts often "accepted on faith" in early education, such as the fact that the ratio of a circle's circumference to its diameter ( ) is constant for all circles. Chapters cover numbers and functions

The book bridges the gap between high school calculus and rigorous university-level real analysis. 2nd ed. - MAA.org

Published in 2010 as a sequel to ACICARA , this volume extends the rigorous treatment to functions of several variables. A Course in Calculus and Real Analysis, 2nd ed. - MAA.org