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Designed for a one-semester advanced calculus course, Advanced calculus explores the theory of calculus and real analysis - providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and it can be used as an exploration of figures.
Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; differentiation; integration; Commutation of Limit Operations; Appendices
- 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 development of trigonometric functions from the integral
Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; differentiation; integration; Commutation of Limit Operations; Appendices
170058
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Thomas Dence, Joseph Dence