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Dence J.B., Dence T.P. Advanced Calculus: A Transition to Analysis

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Dence J.B., Dence T.P. Advanced Calculus: A Transition to Analysis
Academic Press, 2010. - 392 pages.
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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