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

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

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

The book bridges the gap between high school calculus and rigorous university-level real analysis. This first volume provides a self-contained and rigorous

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

Overview of "A Course in Multivariable Calculus and Analysis"

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, sequences, continuity, limits, differentiation, Riemann integration , and infinite series.