图书标签: 数学 Mathematics Analysis 实分析 课本 美国 泛函分析 数学分析
发表于2024-12-25
Introduction to Real Analysis pdf epub mobi txt 电子书 下载 2024
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.
印度版便宜实惠。
评分印度版便宜实惠。
评分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。
评分上了两学期analysis,教授人太好了
评分其实这就是一本数学分析,实分析的内容只在最后两章非常浅的介绍了一下。内容比较中规中矩,数列、连续性、微分、积分还有无穷级数的内容讨论的还算比较容易懂,如果觉得国内的分析教材太难的小伙伴可以看这本书入门,然后去看国内的分析入门教材。
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Introduction to Real Analysis pdf epub mobi txt 电子书 下载 2024