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Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載

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Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi 著者簡介

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi 圖書描述

This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the find properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. The text provides complete proofs of many key results omitted from other books, including Besicovitch's Covering Theorem, Rademacher's Theorem (on the differentiability a.e. of Lipschitz functions), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions).Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi 圖書目錄

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發表於2024-09-28

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載


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出版者:CRC
作者:Lawrence Craig Evans
出品人:
頁數:288 Pages
譯者:
出版時間:1991-12-18
價格:USD 169.95
裝幀:Hardcover
isbn號碼:9780849371578
叢書系列:

圖書標籤: 測度論  數學  幾何測度論  使勁嚼  Mathematics  幾何  measure  PDE   

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載
想要找書就要到 本本書屋
立刻按 ctrl+D收藏本頁
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Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) pdf epub mobi 用戶評價

評分☆☆☆☆☆

這本書讀起來真是賞心悅目。

評分☆☆☆☆☆

這本書的特點和書名非常契閤，就是FINE(精細)。前麵的每一條大定理都是為後麵作鋪墊。Area/Coarea公式的確是全書的最高潮，盡管定理的證明敘述有些囉嗦與淩亂，但仔細琢磨，真是覺得證明賞心悅目。正所謂“而世之奇偉瑰怪非常之觀，常在於險遠。”（當然，要有一個講課水平很高的人來帶就更好瞭。不然可能會迷失在細節中）

評分☆☆☆☆☆

這本書讀起來真是賞心悅目。

評分☆☆☆☆☆

這本書讀起來真是賞心悅目。

評分☆☆☆☆☆

這本書是一本典型的幾何測度論方嚮的工具書，包括瞭測度論，Area formula, Sobolev與BV空間等方麵的基本知識。作者基本上是在羅列證明，而並未有太多關於證明思路的闡述。本書適閤於研究者參考，而不建議初學者學習使用。

Measure Theory and Fine Properties of Functions (Studies in Advance Mathematics) 2024 pdf epub mobi 電子書 下載

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