English | 2011 | ISBN: 1441994874 | 538 pages | PDF | 5 MB
【作者简介】
Omar Hijab为美国Temple University数学系教授,也算个牛吧,博士毕业仅2年就做上了正教授。
【教材简介】
北美标准微积分与数学分析教材,但写法更现代;目标读者为优秀本科生,本书末尾附有全部习题解答,非常适合自学。
Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications.
The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.
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