反馈文件质量
lgli/K:\!genesis\0day\kolxoz\80\M_Mathematics\MC_Calculus\MCet_Elementary calculus textbooks\Stroock D.W. A concise introduction to analysis (Springer, 2015)(ISBN 9783319244679)(O)(226s)_MCet_.pdf
A Concise Introduction to Analysis 🔍
Daniel W. Stroock (auth.) Springer International Publishing, 1st ed. 2015, 2015
英语 [en] · PDF · 1.8MB · 2015 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions.
Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text.
__A Concise Introduction to Analysis__ should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them.
备用文件名
lgrsnf/K:\!genesis\0day\kolxoz\80\M_Mathematics\MC_Calculus\MCet_Elementary calculus textbooks\Stroock D.W. A concise introduction to analysis (Springer, 2015)(ISBN 9783319244679)(O)(226s)_MCet_.pdf
备用文件名
lgli/M_Mathematics/MC_Calculus/MCet_Elementary calculus textbooks/Stroock D.W. A concise introduction to analysis (Springer, 2015)(ISBN 9783319244679)(O)(226s)_MCet_.pdf
备用文件名
nexusstc/A Concise Introduction to Analysis/a657d7a0b53dc559c6a9c56a4bdf7d4d.pdf
备用文件名
scihub/10.1007/978-3-319-24469-3.pdf
备用文件名
zlib/Mathematics/Daniel W. Stroock/A Concise Introduction to Analysis_3372338.pdf
备选作者
Stroock, Daniel W.
备用出版商
Springer Nature Switzerland AG
备用出版商
Springer London, Limited
备用版本
Mathematics, Cham ; Heidelberg ; New York ; Dordrecht ; London, 2015
备用版本
Springer Nature (Textbooks & Major Reference Works), Cham, 2015
备用版本
Switzerland, Switzerland
备用版本
Nov 10, 2015
元数据中的注释
kolxoz -- 80
元数据中的注释
sm47026916
元数据中的注释
{"content":{"parsed_at":1698819880,"source_extension":"epub"},"edition":"1","isbns":["3319244671","3319244698","9783319244679","9783319244693"],"last_page":218,"publisher":"Springer"}
备用描述
"This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions. Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text. A Concise Introduction to Analysis should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them." -- OCLC
备用描述
Front Matter....Pages i-xii
Analysis on the Real Line....Pages 1-41
Elements of Complex Analysis....Pages 43-58
Integration....Pages 59-97
Higher Dimensions....Pages 99-126
Integration in Higher Dimensions....Pages 127-173
A Little Bit of Analytic Function Theory....Pages 175-208
Back Matter....Pages 209-218
备用描述
Keine Beschreibung vorhanden.
Erscheinungsdatum: 10.11.2015
开源日期
2017-10-15
更多信息……

🚀 快速下载

成为会员以支持书籍、论文等的长期保存。为了感谢您对我们的支持，您将获得高速下载权益。❤️

🐢 低速下载

由可信的合作方提供。 更多信息请参见常见问题解答。 （可能需要验证浏览器——无限次下载！）

所有选项下载的文件都相同，应该可以安全使用。即使这样，从互联网下载文件时始终要小心。例如，确保您的设备更新及时。
显示外部下载
  • 对于大文件，我们建议使用下载管理器以防止中断。
    推荐的下载管理器：JDownloader
  • 您将需要一个电子书或 PDF 阅读器来打开文件，具体取决于文件格式。
    推荐的电子书阅读器：Anna的档案在线查看器、ReadEra和Calibre
  • 使用在线工具进行格式转换。
    推荐的转换工具：CloudConvert和PrintFriendly
  • 您可以将 PDF 和 EPUB 文件发送到您的 Kindle 或 Kobo 电子阅读器。
    推荐的工具：亚马逊的“发送到 Kindle”和djazz 的“发送到 Kobo/Kindle”
  • 支持作者和图书馆
    ✍️ 如果您喜欢这个并且能够负担得起，请考虑购买原版，或直接支持作者。
    📚 如果您当地的图书馆有这本书，请考虑在那里免费借阅。