Applied Calculus of Variations for Engineers, Third Edition
暫譯: 工程師應用變分法,第三版

Komzsik, Louis

  • 出版商: CRC
  • 出版日期: 2019-12-02
  • 售價: $5,410
  • 貴賓價: 9.5$5,140
  • 語言: 英文
  • 頁數: 273
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0367376091
  • ISBN-13: 9780367376093
  • 相關分類: 微積分 Calculus
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization problems by suggesting that all
one needed to do was to state a variational problem, apply the appropriate Euler-Lagrange equation and solve the resulting differential equation.

This, as most all encompassing solutions, turned out to be not always true and the resulting differential equations are not necessarily easy to solve. On the other hand, many of the differential equations commonly used in various fields of engineering are derived from a variational problem. Hence it is an extremely important topic justifying the new edition of this book.

This third edition extends the focus of the book to academia and supports both variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts.

商品描述(中文翻譯)

變分法有著悠久的歷史。其基本原理由數學界的巨擘如歐拉(Euler)和拉格朗日(Lagrange)奠定。曾經被譽為所有工程優化問題的萬能解,因為它建議只需陳述一個變分問題,應用適當的歐拉-拉格朗日方程,然後解決所產生的微分方程。

然而,這種全能解法並不總是正確,所得到的微分方程也不一定容易解決。另一方面,許多在各個工程領域中常用的微分方程都是從變分問題中推導出來的。因此,這是一個極其重要的主題,為本書的新版本提供了正當性。

本書的第三版擴展了焦點至學術界,並支持變分微積分和數學建模課程。新增的章節、擴展的解釋、眾多的例子和練習有助於學生學習、教授教學以及工程師應用變分概念。

作者簡介

Dr. Louis Komzsik worked in the industry as an engineering mathematician for 42 years and during those years also lectured as a Visiting Professor at various southern California colleges and universities. Since his retirement he is lecturing in the Mathematics Department of the University of California at Irvine.

作者簡介(中文翻譯)

路易斯·科姆茲基博士在業界擔任工程數學家已有42年,並在這段期間擔任南加州多所大學的客座教授。自從退休以來,他在加州大學爾灣分校的數學系授課。