如果您喜欢我的帖，就请加“ +关注”哦马上抢沙发
希望您喜欢我的免费发布支持我 加我 关注我
[url]https://bbs.pinggu.org/z_guanzhu.php?action=add&fuid=3727866[/url]

【2015】 A Course in Analysis - Volume I: Introductory Calculus, Analysis of Functions of One Real Variable

Book 图书名称： A Course in Analysis - Volume I: Introductory Calculus, Analysis of Functions of One Real Variable
Author 作者： Niels Jacob, Kristian P Evans
Publisher 出版社： World Scientific Publishing
Page 页数：746
Publishing Date 出版时间： Nov 22, 2015
Language 语言： English
Size 大小： 6 MB
Format 格式： pdf 文字版
ISBN: 9814689084, 978-9814689083
Edition: 第1版 搜索过论坛，没有该文档

Volume I covers the content of two typical modules in undergraduate course for mathematics:
Part 1: Introductory calculus
Part 2: Analysis of functions of one variable
These two parts are divided into 32 chapters. Part 1 begins with an overview of a set of real numbers: rational and irrational. This is accompanied by a discussion of arithmetic rules, inequalities, absolute values. Doing this, the authors, in a clever way, introduce elements of a set theory using Cantor's approach. This is followed by the definition of a function and discussion of operations on functions. From this they move to differential and integral calculus and their applications.

Part 2 contains rigorous proofs of theorems from Part 1. In particular, they introduce the order structure on a real line using axioms of an ordered field. It is worth mentioning that Part 2 contains elements of topology obviously on real line and a good insight on convex functions. The convex functions relate Analysis to linear spaces equipped with norm. Finally, to close Part 2 the authors supply a number of Appendices, among them Appendices on logic, set theory and Peano axioms.

• Remarkably, Volume I contains 360 problems with complete solutions.
• Readership: Undergraduate students in mathematics.
  

== Table of contents ==
n/a


== 回帖见免费下载 ==
[hide]
[/hide]
声明： 本资源仅供学术研究参考之用，发布者不负任何法律责任，敬请下载者支持购买正版。


【KYCHAN】12月15日资源汇总帖64文档资源（回复参与奖励丰厚）
【KYCHAN】十一月资源汇总帖176文档资源（回复参与奖励丰厚）
【KYCHAN】11月15日资源汇总帖86文档资源（回复参与奖励丰厚）
【KYCHAN】十月资源汇总帖203文档资源（回复参与奖励丰厚）
【KYCHAN】10月15日资源汇总帖 94 文档资源（回复参与奖励丰厚)
【KYCHAN】九月资源汇总帖 159文档资源（回复参与奖励丰厚)
【KYCHAN】九月15日资源汇总帖 70 文档资源（回复参与奖励丰厚)
【KYCHAN】八月资源汇总帖 157 文档资源（回复参与奖励丰厚）
请您加入我的【KYCHAN文库】 感恩
[url]https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=2819[/url] 欢迎您的订阅！