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

This first volume provides a self-contained and rigorous introduction to the calculus of functions of a single real variable.

Logarithmic, exponential, and trigonometric functions are defined strictly using the theory of Riemann integration rather than geometric intuition. Ghorpade S., Limaye B. A Course in Calculus and...

Overview of "A Course in Multivariable Calculus and Analysis" This first volume provides a self-contained and rigorous

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. Ghorpade S., Limaye B. A Course in Calculus and...

The book bridges the gap between high school calculus and rigorous university-level real analysis.