Introduction to the Calculus of Variations (4th Edition)
暫譯: 變分法導論(第4版)
Dacorogna, Bernard
- 出版商: World Scientific Pub
- 出版日期: 2024-09-12
- 售價: $5,140
- 貴賓價: 9.5 折 $4,883
- 語言: 英文
- 頁數: 368
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1800615264
- ISBN-13: 9781800615267
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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
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.
This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist - mathematicians, physicists, engineers, students or researchers - in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.
This new edition offers an entirely new chapter, as well as the addition of several new exercises. The book, containing a total of 147 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
商品描述(中文翻譯)
變分法是數學中最古老的主題之一,至今仍然充滿活力並持續演變。除了其數學上的重要性及與其他數學分支(如幾何學或微分方程)的聯繫外,變分法在物理學、工程學、經濟學和生物學中也被廣泛應用。
本書既是對現有廣泛文獻的指導,也是幫助非專家(如數學家、物理學家、工程師、學生或研究人員)發現該主題最重要的問題、結果和技術的工具。儘管本書旨在針對非專家,但數學的嚴謹性並未被犧牲;大多數定理要麼是完全證明的,要麼是在更嚴格的條件下證明的。
這一新版提供了一個全新的章節,並新增了幾個練習題。本書共包含147個練習題及詳細解答,設計良好,適合本科生和研究生的課程使用。