Advanced Calculus: A Transition to Analysis

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. It covers exponential function, and the development of trigonometric functions from the integral.

The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.

• 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 bookoutstanding feature is the collection of exercises in each chapter
• Provides coverage of exponential function, and the development of trigonometric functions from the integral