# Functions of Bounded Variation and Free Discontinuity Problems

Functions of Bounded Variation and Free Discontinuity Problems is a mathematical monograph on variational methods and free discontinuity problems. Its opening chapters cover prerequisites, followed by material on special functions of bounded variation and analysis of the Mumford–Shah image segmentation problem.

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## At a glance

- Introduces free discontinuity problems after presenting foundational material for variational problems.
- Covers special functions of bounded variation and the Mumford–Shah image segmentation problem.
- Describes applications including phase transitions, fracture, plasticity and edge detection.

## Pros

- The progression from prerequisites to specialized theory gives readers a structured route into the subject.
- The coverage connects mathematical theory with applications in mechanics and image analysis.

## Specifications

### Publication
- Publisher: Oxford University Press
- Publication date: May 25, 2000
- Edition: 1st
- Language: English
- Print length: 452 pages
- ISBN-10: 0198502451
- ISBN-13: 978-0198502456
### Dimensions and installation
- Weight listed: 1.95 pounds
- Dimensions: 9.54 x 6.3 x 1.26 inches

## Before you buy

- The listing describes a specialized mathematical monograph rather than a general introduction to calculus. Its intended topics include variational analysis, bounded variation and free discontinuity problems.

## A good fit for

- Readers studying variational problems, functions of bounded variation or free discontinuity theory.
- Researchers interested in mathematical models related to fracture, phase transitions or image segmentation.

## Less suited to

- Readers seeking an introductory calculus textbook or a general-purpose mathematics reference.

## Customer feedback

The supplied evidence contains only a very small aggregate rating sample and no written feedback. That rating alone cannot establish which aspects readers liked or how well the book suits a particular background, so use the listed subject matter to judge relevance.

## Frequently asked questions

### What topics does this book cover?
The listing describes foundational material for variational problems, free discontinuity theory, special functions of bounded variation and a detailed analysis of the Mumford–Shah image segmentation problem.
### Does the book discuss applications?
Yes. The description connects the theory with phase transitions, fracture and plasticity in continuum mechanics, and edge detection in image analysis.
### Is this positioned as a beginner calculus textbook?
No. Its described focus is specialized mathematical theory, including variational problems and functions of bounded variation.

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## Images

![Functions of Bounded Variation and Free Discontinuity Problems — 1](https://best-deals.pro/i/GXLWTYjJ49YDwLi8vFxsTcyH5vLFfLSzTkURoiUcwMFntSx2lxzcJ17TcS1qj-B9cm59BQ5pR8_c243z0rbGph8pdYNImbH7mV3ddkHXOy-w_m5IixNh.jpg)