Introduction to Real Analysis

作者:Bartle, Robert G.; Sherbert, Donald R.;

页数:402

出版时间:2011-1

价格:0

isbn号码:9780471433316

图书标签:数学MathematicsAnalysis实分析课本美国泛函分析数学分析

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.

用户评价

好。

很浅但是十分清晰的入门级教材。相比于一般纯数学教材作者的矜持，作者很大方地对大多数定理的背景和思路都提供了很充足的解释。练习题也是我见过的最简单的了（让你有种分析学的题都很好做的错觉）。缺点是point-set topology和metric space都只是最后大致提了一下，但实际上按此章节的难度及理论方面的关联性来讲应该放到continuity或sequence之前。

很浅但是十分清晰的入门级教材。相比于一般纯数学教材作者的矜持，作者很大方地对大多数定理的背景和思路都提供了很充足的解释。练习题也是我见过的最简单的了（让你有种分析学的题都很好做的错觉）。缺点是point-set topology和metric space都只是最后大致提了一下，但实际上按此章节的难度及理论方面的关联性来讲应该放到continuity或sequence之前。

印度版便宜实惠。

好。