Advanced Calculus: A Transition to Analysis (repost)

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