Robert G. Bartle, Donald R. Sherbert, "Introduction to Real Analysis, 4th Edition"
Publisher: W.l.y | ISBN: 0471433314 | 2011 | PDF | 402 pages | 9 MB

Robert G. Bartle, Donald R. Sherbert均为University of Illinois, Urbana-Champaign数学系教授。






该教材和国内所谓的“数学分析”教材是一样的，但在国外一般称为高级微积分。
This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.