Measure and integral

著者

• Brokate, Martin
• Kersting, Götz

書誌事項

Measure and integral

Martin Brokate, Götz Kersting

（Compact textbooks in mathematics）

Birkhäuser , Springer, c2015

• : [pbk.]

注記

Includes bibliographical references (p. 169) and index

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB19130556
• ISBN:
  • 9783319153643
• LCCN: 2015941155
• 出版国コード: xx
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: [S.l.],Cham
• ページ数/冊数: vii, 172 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BB13217797