Advanced Calculus: A Transition to Analysis

Advanced Calculus: A Transition to Analysis
By Thomas P. Dence, Joseph B. Dence

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

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