Introduction To The Calculus Of Variations
Author:Bernard Dacorogna
Paperback: 228 pages
Publisher: World Scientific Publishing Company (December 28, 2004)
Language: English
ISBN-10: 1860945082
ISBN-13: 978-1860945083
Review
... a solid introduction to a great and grand subject. -- MAA Online Book Review
Book Description
The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is 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 subjects 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.
The book, containing more than seventy exercises with detailed solutions, is well designed for a course both at the undergraduate and graduate levels.
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Nowadays the development of civil engineering pose higher mathematical requirement for civil engineers. This book is focus on Calculus Of Variations that is not so widely used for most civil engineers. But undoutedly it is used in the civil engineering, especially in the theoretical rearch such as finite element methods. This book is a useful one for the beginner of the subject.