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. Ghorpade S., Limaye B. A Course in Calculus and...
(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" It provides formal proofs for concepts often "accepted
The book bridges the gap between high school calculus and rigorous university-level real analysis. Ghorpade and Balmohan V