Logarithmic, exponential, and trigonometric functions are defined strictly using the theory of Riemann integration rather than geometric intuition.
Chapters cover numbers and functions, sequences, continuity, limits, differentiation, Riemann integration , and infinite series. 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. 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. Ghorpade S., Limaye B. A Course in Calculus and...