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测度论（第一卷）（影印版）

样章
作者：
V.I. Bogachev
定价：
55.80 元
版面字数：
510.00千字
开本：
16开
装帧形式：
平装
页数：
520
最新
印次时间：
2021年6月
ISBN：
978-7-04-028696-0
物料号：
28696-00
出版时间：
2010年5月
读者对象：
高等教育
一级分类：
数学与统计学类
二级分类：
数学与统计学类其他课程
三级分类：
其他课程
暂无
  • 目录
    • 前辅文
      • Chapter 1. Constructions and extensions of measur
        • 1.1. Measurement of length: introductory rema
          • 1.2. Algebras and σ-algebras
            • 1.3. Additivity and countable additivity of measur
              • 1.4. Compact classes and countable additivit
                • 1.5. Outer measure and the Lebesgue extension of measur
                  • 1.6. Infinite and σ-finite measure
                    • 1.7. Lebesgue measu
                      • 1.8. Lebesgue-Stieltjes measur
                        • 1.9. Monotone and σ-additive classes of se
                          • 1.10. Souslin sets and the A-operat
                            • 1.11. Caratheodory outer measure
                              • 1.12. Supplements and exerci
                              • Chapter 2. The Lebesgue integra
                                • 2.1. Measurable functio
                                  • 2.2. Convergence in measure and almost everywh
                                    • 2.3. The integral for simple functio
                                      • 2.4. The general definition of the Lebesgue integra
                                        • 2.5. Basic properties of the integr
                                          • 2.6. Integration with respect to infinite measur
                                            • 2.7. The completeness of the space
                                              • 2.8. Convergence theorem
                                                • 2.9. Criteria of integrabil
                                                  • 2.10. Connections with the Riemann integr
                                                    • 2.11. The H¨older and Minkowski inequalit
                                                      • 2.12. Supplements and exercis
                                                      • Chapter 3. Operations on measures and functio
                                                        • 3.1. Decomposition of signed measu
                                                          • 3.2. The Radon–Nikodym theor
                                                            • 3.3. Products of measure spac
                                                              • 3.4. Fubini’s theore
                                                                • 3.5. Infinite products of measur
                                                                  • 3.6. Images of measures under mappin
                                                                    • 3.7. Change of variables in I
                                                                      • 3.8. The Fourier transfor
                                                                        • 3.9. Convoluti
                                                                          • 3.10. Supplements and exercis
                                                                          • Chapter 4. The spaces Lp and spaces of measure
                                                                            • 4.1. The spaces
                                                                              • 4.2. Approximations in Lp
                                                                                • 4.3. The Hilbert space
                                                                                  • 4.4. Duality of the spaces
                                                                                    • 4.5. Uniform integrabilit
                                                                                      • 4.6. Convergence of measu
                                                                                        • 4.7. Supplements and exercis
                                                                                        • Chapter 5. Connections between the integral and derivativ
                                                                                          • 5.1. Differentiability of functions on the real lin
                                                                                            • 5.2. Functions of bounded variatio
                                                                                              • 5.3. Absolutely continuous function
                                                                                                • 5.4. The Newton–Leibniz formula
                                                                                                  • 5.5. Covering theore
                                                                                                    • 5.6. The maximal funct
                                                                                                      • 5.7. The Henstock–Kurzweil integra
                                                                                                        • 5.8. Supplements and exercis
                                                                                                        • Bibliographical and Historical Commen
                                                                                                          • Reference
                                                                                                            • Author Inde
                                                                                                              • Subject Inde

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