Description
WILEY INDIA Calculus Volume I 2Nd Edition 2Nd Edition by TOM M APOSTOL
For a book that talks about equations and proofs, Calculus Volume I is highly compelling, thanks to Tom M. Apostol’s explanation of the concepts in calculus by relating it to simpler mathematical ideas empowering students with real practical knowledge. Rightly regarded as a classic in mathematics, the book focusses on the words that explain the equations, detailing how the equations are derived, what they mean, and how they can be applied in real life. Apostol’s approach is at once, practical and formal, as he explains to students certain concepts that are rarely discussed in calculus due perceived difficulties in explanation. Apostol sweeps these aside as he explains difficult concepts like Lebesgue integrals in terms of set theory rather than using the measure-theory approach as is usually the case. The book starts by introducing readers to the history of calculus and some basic concepts of set theory before explaining complicated ideas like summation notation and mathematical induction, continuous functions, differential calculus, relation between integration and differentiation, polynomial approximations to functions, and vector algebra.