Designed for a one-semester advanced calculus course, Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis -- providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus.


* Appropriate rigor for a one-semester advanced calculus course

* Presents modern materials and nontraditional ways of stating and proving some results

* Includes precise historical notes throughout the book
outstanding feature is the collection of exercises in each chapter

* Provides coverage of exponential function, and the development of trigonometric functions from the integral