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# Almgren's Big Regularity Paper (未拆封，Hardcover精裝) 幾何測度論大作

## 價格

目前價格：NT$2,600

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資料時間：2026-05-28T03:25:54.410Z

## 分類

分類名稱：理工醫

分類路徑：

圖書/影音/文具 > 圖書與雜誌 > 教育/考試用書 > 教科書 > 大專/大學用書 > 理工醫

## 商品狀態

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## 商品描述

自藏書，未拆封，精裝硬殼書，幾何測度論裡有名的paper外觀保存如圖(正面外膜有個小破洞,圖1)Contents & Preface: (請自行刪除com前面的空格)

www.worldscientific.   com/doi/abs/10.1142/9789812813299_fmatter

Almgren's Big Regularity Paper: Q-Valued Functions Minimizing Dirichlet's Integral and the Regularity of Area-Minimizing Rectifiable Currents Up to Codimension 2- Publisher  :  World Scientific Pub Co Inc (July 3, 2000)
- Language  :  English
- Hardcover  :  955 pages
- ISBN-13  :  978-9810241087
- Item Weight  :  3.94 pounds
- Dimensions  :  7 x 2 x 9.75 inches
Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations. His techniques yielded Hölder continuous differentiability except for a small closed singular set. In the sixties and seventies Almgren refined and generalized his methods. Between 1974 and 1984 he wrote a 1,700-page proof that was his most ambitious development of his ground-breaking ideas. Originally, this monograph was available only as a three-volume work of limited circulation. The entire text is faithfully reproduced here.This book gives a complete proof of the interior regularity of an area-minimizing rectifiable current up to Hausdorff codimension 2. The argument uses the theory of Q-valued functions, which is developed in detail. For example, this work shows how first variation estimates from squash and squeeze deformations yield a monotonicity theorem for the normalized frequency of oscillation of a Q-valued function that minimizes a generalized Dirichlet integral. The principal features of the book include an extension theorem analogous to Kirszbraun's theorem and theorems on the approximation in mass of nearly flat mass-minimizing rectifiable currents by graphs and images of Lipschitz Q-valued functions.

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