北美最流行

高等微积分：向实分析过渡教程

Advanced Calculus: A Transition to Analysis by Thomas P. Dence and Joseph B. Dence
English | 2010 |  PDF | 392 pages | 4 MB
【作者简介】
Joseph B. Dence为美国St. Louis Uiversity数学系教授；
Thomas P. Dence为美国Ashland University数学系教授。

【教材简介】
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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