中图分类法:	O17 版次：
著者:	Vakil, Nader.
题名:	Real analysis through modern infinitesimals / / ,
出版发行:	出版地： Cambridge ; 出版社： Cambridge University Press, 出版日期： 2011, 2011.
载体形态:	xix, 565 pages ; 24 cm.
内容提要:	"Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the book provides a careful development of this theory representing each external class as a proper class. This foundational discussion, which is presented in the first two chapters, includes an account of the basic internal and external properties of the real number system as an entity within IST. In its remaining fourteen chapters, the book explores th