Advanced Calculus: A Transition to Analysis

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.

Ancillary list: * Companion website, Ebook- http://www.elsevierdirect.com/product.jsp?isbn=9780123749550 * Student Solutions Manual- To come * Instructors Solutions Manual- To come

• 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