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
Advanced undergraduate and graduate students taking a course in advanced calculus.
Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; Differentiation; Integration; Commutation of Limit Operations; Appendices
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- © Academic Press 2010
- 28th December 2009
- Academic Press
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- Hardcover ISBN:
Ashland University, Ohio, U.S.A.
University of Missouri, Columbia, U.S.A.