Vladimir I. Arnold--Collected Works: Symplectic Topology, Dynamics of Intersections, and Catastrophe Theory 1986-1991
暫譯: 弗拉基米爾·I·阿諾德--文集:辛幾何、交集動力學與災變理論 1986-1991

Arnold, Vladimir I., Khesin, Boris A., Sevryuk, Mikhail B.

  • 出版商: Springer
  • 出版日期: 2025-01-12
  • 售價: $7,210
  • 貴賓價: 9.5$6,850
  • 語言: 英文
  • 頁數: 540
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031773942
  • ISBN-13: 9783031773945
  • 相關分類: 數學
  • 海外代購書籍(需單獨結帳)

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商品描述

This volume 5 of the Collected Works includes papers written by V.I. Arnold, one of the most outstanding mathematicians of all times, during the period from 1986 to 1991. Arnold's work during this period covers symplectic topology, contact geometry and wave propagation, quasicrystals, dynamics of intersections, bifurcations, and catastrophe theory.
He was seriously concerned with decaying mathematical education in Russia and worldwide -- one can see this in several articles translated for this volume. Of particular interest are the sets of problems which Arnold collected under the name "Mathematical Trivium" -- in his opinion, any math or physics university graduate should be able to solve any problem from that list. The reader will also enjoy perusing several interviews with Arnold, as well as his remarkable warm memories about Ya.B. Zeldovich and his teacher A.N. Kolmogorov. One of Arnold's papers on catastrophe theory translated for this volume also contains a beautiful translation of E.A. Baratynsky's poem made by A.B. Givental.

The book will be of interest to the wide audience from college students to professionals in mathematics or physics and in the history of science.

商品描述(中文翻譯)

本書第五卷的《文集》包含了V.I. Arnold撰寫的論文,這位是歷史上最傑出的數學家之一,論文的撰寫時間為1986年至1991年。Arnold在此期間的工作涵蓋了辛幾何、接觸幾何和波的傳播、準晶體、交集的動力學、分岔以及災變理論。
他對俄羅斯及全球數學教育的衰退深感擔憂——這在為本卷翻譯的幾篇文章中可見一斑。特別值得注意的是Arnold以「數學三位一體」為名所收集的一系列問題——在他看來,任何數學或物理學的大學畢業生都應該能夠解決該列表中的任何問題。讀者還可以欣賞到幾篇與Arnold的訪談,以及他對Ya.B. Zeldovich和他的老師A.N. Kolmogorov的美好回憶。本卷中翻譯的Arnold關於災變理論的論文中還包含了A.B. Givental翻譯的E.A. Baratynsky詩作的優美譯文。

本書將吸引廣泛的讀者群,從大學生到數學或物理專業的專業人士,以及科學史的研究者。

作者簡介

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors.

作者簡介(中文翻譯)

弗拉基米爾·阿諾德(Vladimir Arnold)是我們這個時代偉大的數學科學家之一。他以其工作的廣度和深度而聞名。同時,他也是最具創造力和傑出的數學作者之一。

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