(ACICARA) and its sequel, A Course in Multivariable Calculus and Analysis , authored by Sudhir R. Ghorpade and Balmohan V. Limaye , are highly regarded textbooks in the Springer Undergraduate Texts in Mathematics (UTM) series. Both authors are distinguished professors at the Indian Institute of Technology (IIT) Bombay . Overview of "A Course in Calculus and Real Analysis"
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" (ACICARA) and its sequel, A Course in Multivariable
Chapters cover numbers and functions, sequences, continuity, limits, differentiation, Riemann integration , and infinite series. (ACICARA) and its sequel