Introduction to the Calculus of Variations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Introduction to the Calculus of Variations by Bernard Dacorogna, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Bernard Dacorogna ISBN: 9781783265541
Publisher: World Scientific Publishing Company Publication: August 13, 2014
Imprint: ICP Language: English
Author: Bernard Dacorogna
ISBN: 9781783265541
Publisher: World Scientific Publishing Company
Publication: August 13, 2014
Imprint: ICP
Language: English

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.

In this new edition, several new exercises have been added. The book, containing a total of 119 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

Contents:

  • Introduction
  • Preliminaries
  • Classical Methods
  • Direct Methods: Existence
  • Direct Methods: Regularity
  • Minimal Surfaces
  • Isoperimetric Inequality
  • Solutions to the Exercises
  • Bibliography
  • Index

Readership: Graduate and undergraduate students taking a course in analysis and differential equations.
Key Features:

  • Serves as an excellent introduction to the calculus of variations
  • Useful to researchers in different fields of mathematics who want to get a concise but broad introduction to the subject
  • Includes more than 100 exercises with solutions
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

In this new edition, several new exercises have been added. The book, containing a total of 119 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

Contents:

Readership: Graduate and undergraduate students taking a course in analysis and differential equations.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Lectures, Problems and Solutions for Ordinary Differential Equations by Bernard Dacorogna
Cover of the book Diversities in Quantum Computation and Quantum Information by Bernard Dacorogna
Cover of the book European Economic Integration, WTO Membership, Immigration and Offshoring by Bernard Dacorogna
Cover of the book Water by Bernard Dacorogna
Cover of the book 50 Years of Science in Singapore by Bernard Dacorogna
Cover of the book Whither Southeast Asia Terrorism? by Bernard Dacorogna
Cover of the book The Region and Trade by Bernard Dacorogna
Cover of the book Housing and Commuting: The Theory of Urban Residential Structure by Bernard Dacorogna
Cover of the book Examples in Markov Decision Processes by Bernard Dacorogna
Cover of the book Advances in Digital Handwritten Signature Processing by Bernard Dacorogna
Cover of the book Noble Metal Noble Value by Bernard Dacorogna
Cover of the book The Business Mindframe by Bernard Dacorogna
Cover of the book Research on Efficiency and Fairness of Resources Allocationby China's Governmental Administration by Bernard Dacorogna
Cover of the book Memories and Reflections by Bernard Dacorogna
Cover of the book Birds and Frogs by Bernard Dacorogna
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy