This is a textbook for serious undergraduate students who have a desire to
specialise in pure and applied mathematics. It introduces the more abstract
concepts of advanced calculus and encourages students to practice writing
proofs.
Introduces the student to the more abstract concepts of advanced calculus Each topic begins with a brief introduction followed by detailed examples A selection of carefully-chosen exercises gives students the opportunity to practice writing proofs.
Mangatiana A. Robdera
Advanced calculus Derivative Fourier series Mathematical analysis Mean value theorem Riemann integral Taylor series Taylor's theorem calculus compactness differential equation fixed-point theorem improper integral
From the reviews:
THE BULLETIN OF MATHEMATICS BOOKS
"It is written primarily for advanced students of mathematics – in the 3rd of 4th year of their degree – who wish to specialize in pure and applied mathematics, but it will also prove useful to students of physics, engineering and computer science who also use advanced mathematical techniques."