☆☆☆☆☆




點擊這裡下載

類似圖書 點擊查看全場最低價

---

內容簡介

　　科恩編著的《測度論》是一部為初學者提供學習測度論的入門書籍。綜閤性強，清晰易懂。全麵介紹瞭測度和積分，重在強調學習分析和測度必需的和相關的一些話題。前五章講述瞭抽象測度和積分，通過這五章，讀者可以說精通積分知識；第六章講述微分知識，包括Rd上變量的處理。本書的最大特點是初步並且全麵的講述局部緊Hausdorff空間上的積分知識、Polish空間上的解析和Borel子集和局部緊群上的Haar測度。書中提供瞭學習目前感興趣的領域，尤其是調和分析和概率論的工具。每章末都附有具有代錶性的習題，從常規題型到擴展訓練都有，並且對較高難度的習題附有提示。

目錄

1． measures 1． algebras and sigma-algebras 2． measures 3． outer measures 4． lebesgue measure 5． completeness and regularity 6． dynkin classes 2． functions and integrals 1． measurable functions 2． properties that hold almost everywhere 3． the integral 4． limit theorems 5． the riemann integral 6． measurable functions again， complex-valued functions， and image measures 3． convergence 1． modes of convergence 2． normed spaces 3． definition of．．of p and ls 4． properties of p and lp 5． dual spaces 4． signed and complex measures 1． signed and complex measures 2． absolute continuity 3． singularity 4． functions of bounded variation 5． the duals of the lp spaces 5． product measures 1． constructions 2． fubini's theorem 3． applications 6． differentiation 1． change of variable in ra 2． differentiation of measures 3． differentiation of functions 7． measures on locally compact spaces 1． locally compact spaces 2． the riesz representation theorem 3． signed and complex measures; duality 4． additional properties of regular measures 5． the μ*-measurable sets and the dual of l1 6． products of locally compact spaces 8． polish spaces and analytic sets 1． polish spaces 2． analytic sets 3． the separation theorem and its consequences 4． the measurability of analytic sets 5． cross sections 6． standard， analytic， lusin， and souslin spaces 9． haar measure 1． topological groups 2． the existence and uniqueness of haar measure 3． properties of haar measure 4． the algebras lt (g) and m(g) appendices a． notation and set theory b． algebra c． calculus and topology in ra d． topological spaces and metric spaces e． the bochner integral bibliography index of notation index

前言/序言

測度論 下載 mobi epub pdf txt 電子書

評分☆☆☆☆☆

（4）所有的概率，都是概率測度

評分☆☆☆☆☆

不錯

評分☆☆☆☆☆

（4）所有的概率，都是概率測度

評分☆☆☆☆☆

對於更一般的集閤，我們能不能定義測度呢？ 比如直綫上所有有理數構成的集閤，它的測度怎麼衡量呢？

評分☆☆☆☆☆

常見的測度有

評分☆☆☆☆☆

二、書有很多分類，不要局限於某一類，尤其是不要耽溺於通俗小說

評分☆☆☆☆☆

東西不錯，非常的不錯。

評分☆☆☆☆☆

評分☆☆☆☆☆

不錯，挺好的

類似圖書 點擊查看全場最低價

查看全網最低價