Joseph B. Dence, Thomas P. 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. Ancillary list includes: Companion website; Ebook; Student Solutions Manual; and, Instructors Solutions Manual. This title offers appropriate rigor for a one-semester advanced calculus course. It presents modern materials and nontraditional ways of stating and proving some results. It includes precise historical notes throughout the book outstanding feature is the collection of exercises in each chapter. It provides coverage of exponential function, and the development of trigonometric functions from the integral.