The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators
暫譯: 線性偏微分算子分析 IV：傅立葉積分算子
Hörmander, Lars
- 出版商: Springer
- 出版日期: 2009-04-17
- 售價: $2,660
- 貴賓價: 9.8 折 $2,606
- 語言: 英文
- 頁數: 352
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3642001173
- ISBN-13: 9783642001178
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相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
商品描述
From the reviews:
"Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987
"This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987
Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize2006
商品描述(中文翻譯)
來自評論：
「第三卷和第四卷完整了 L. Hörmander 關於線性偏微分方程的論著。這些卷冊構成了該主題最完整且最新的報導，作者在過去幾十年中主導了這一領域並做出了最重要的貢獻……這是一本卓越的書籍，必須在每個數學圖書館中存在，對所有對偏微分算子理論感興趣的年輕人和老年人來說都是不可或缺的工具。」—— L. Boutet de Monvel 在《美國數學學會公報》，1987年
「這部論著在各方面都非常出色，必須被視為數學中的偉大著作之一。這絕對不是輕鬆的閱讀……但仔細研究將會因其豐富的思想和技術以及美麗的呈現而獲得極大的回報。」—— J. Brüning 在《Zentralblatt MATH》，1987年
授予 Lars Hörmander 的榮譽：1962年菲爾茲獎、1970年國際會議演講者、1988年沃爾夫獎、2006年AMS Steele獎。
作者簡介
Biography Lars Hörmander
Born on January 24, 1931, on the southern coast of Sweden, Lars Hörmander did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Gårding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor.
Hörmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators. His book Linear Partial Differential Operators published 1963 by Springer in the Grundlehren series was the first major account of this theory. His four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period.
作者簡介(中文翻譯)
生平介紹 拉斯·霍爾曼德
拉斯·霍爾曼德（Lars Hörmander）於1931年1月24日出生於瑞典南部海岸，他在隆德（Lund）完成了中學教育以及本科和博士學位的學習。他在隆德大學的主要老師和指導教授是馬塞爾·里茲（Marcel Riesz），直到他返回後，則是拉斯·戈丁（Lars Gårding）。1956年，他在美國工作，曾任教於芝加哥大學、堪薩斯大學、明尼蘇達大學和紐約大學，之後回到斯德哥爾摩大學擔任教授。他經常訪問美國，特別是斯坦福大學，並於1964年至1968年期間擔任普林斯頓高等研究院（IAS）的教授。1968年，他接受了瑞典隆德大學的教授職位，至今為名譽教授。
霍爾曼德一生的工作致力於偏微分方程及其在複分析中的應用。1962年，他因對線性偏微分算子一般理論的貢獻而獲得菲爾茲獎（Fields Medal）。他於1963年由施普林格（Springer）出版的《線性偏微分算子》（Linear Partial Differential Operators）一書是該理論的首部重要著作。20年後，他在同一系列中出版的四卷本著作《線性偏微分算子的分析》（The Analysis of Linear Partial Differential Operators）展示了該領域在此期間的廣泛擴展。
