Measure and Integral [electronic resource]

• 作者： Brokate, Martin.
• 其他作者：
  • Kersting, Gotz.
  • SpringerLink (Online service)
• 其他題名：
  • Mass und Integral.
  • Compact textbooks in mathematics,
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Compact textbooks in mathematics,
• 主題： Measure theory , Integrals , Mathematics , Measure and Integration.
• ISBN： 9783319153650 (electronic bk.) 、 9783319153643 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Preface -- 1 Introduction -- 2 Measurability -- 3 Measures -- 4 The Integral of Nonnegative Functions -- 5 Integrable Functions -- 6 Convergence -- 7 Uniqueness and Regularity of Measures -- 8 Multiple Integrals and Product Measures -- 9 Absolute Continuity -- 10 The Transformation Formula of Jacobi -- 11 Construction of Measures -- 12 Hilbert Spaces -- 13 Banach Spaces -- Literature.
• More
• 摘要註: The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.
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