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题名/责任者:

Measure and integral / Martin Brokate, Gotz Kersting = 测度与积分 / [德] 马丁·布罗凯特, [德] 格茨·柯斯汀著.

出版发行项:

哈尔滨 : Harbin Institute of Technology Press, 2019.

ISBN:

9787560380896

载体形态项:

iii, 185, x pages : illustrations ; 25 cm.

统一题名:

Ma? und Integral. English

变异题名:

测度与积分

丛编说明:

HIT国外优秀数学著作原版系列

个人责任者:

Brokate, Martin, 1953- author.

附加个人名称:

Kersting, Go?tz, author.

论题主题:

Measure theory.

论题主题:

Integrals.

中图法分类号:

O174.12

书目附注:

Includes bibliographical references (page 169) and index.

内容附注:

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 Jacobi Transformation Formula -- 11. Construction of Measures -- 12. Hilbert Spaces -- 13. Banach Spaces -- Literature.

摘要附注:

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.

原版附注:

Reprint. Originally published: Switzerland : Springer International Publishing AG, 2015.

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