Advanced Calculus

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

Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; Differentiation; Integration; Commutation of Limit Operations; Appendices