Measure and Integral / by Martin Brokate, Götz Kersting.

Format:

Book

Author/Creator:

Brokate, Martin., Author.

Kersting, Götz., Author.

Series:

Compact Textbooks in Mathematics, 2296-4568

Language:

English

Subjects (All):

Measure theory.

Measure and Integration.

Local Subjects:

Measure and Integration.

Physical Description:

1 online resource (VII, 172 p. 24 illus.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

3-319-15365-X