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

Logarithmic, exponential, and trigonometric functions are defined strictly using the theory of Riemann integration rather than geometric intuition.

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...

Overview of "A Course in Multivariable Calculus and Analysis" and infinite series.

The book bridges the gap between high school calculus and rigorous university-level real analysis. Ghorpade S., Limaye B. A Course in Calculus and...

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