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Intro to Calculus of Variations

by Dacorogna Bernard

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A rigorous introduction to variational methods

$40.70 USD
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Paperback New English

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AlbakiReads Editorial

A rigorous introduction to variational methods

This introduction places the calculus of variations within a broad mathematical and applied landscape, noting its connections to geometry and differential equations and its use in fields including physics, engineering, economics, and biology. It surveys central problems, results, and techniques while retaining substantial mathematical rigor: most theorems are proved, either in full or under more restrictive conditions. More than seventy exercises with detailed solutions give the book a practical role as a course text as well as a guide for exploring the subject’s wider literature.

Good fit for readers who enjoy

  • Students seeking an undergraduate or graduate course text in calculus of variations.
  • Mathematicians, physicists, engineers, and researchers looking for an introduction to key problems and techniques.
  • Readers interested in mathematical methods connected to geometry, differential equations, or applied sciences.

Themes

Calculus of variationsMathematical rigor and proofConnections between mathematics and applied sciencesExercises with worked solutions

Based on publisher information and book metadata.

Book overview

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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