Publisher:

Chapman & Hall/CRC

Number of Pages:

242

Price:

99.95

ISBN:

9781466507197

Date Received:

Monday, April 23, 2012

Reviewable:

No

Reviewer Email Address:

Series:

Pure and Applied Mathematics

Publication Date:

2012

Format:

Hardcover

Audience:

Category:

Monograph

**DYADIC FIGURESPreliminaries **The setting

Topology

Measures

Hausdorff measures

Differentiable and Lipschitz maps

**Divergence Theorem for Dyadic Figures **Differentiable vector fields

Dyadic partitions

Admissible maps

Convergence of dyadic figures

**Removable Singularities **Distributions

Differential equations

Holomorphic functions

Harmonic functions

The minimal surface equation

Injective limits

**SETS OF FINITE PERIMETERPerimeter **Measure-theoretic concepts

Essential boundary

Vitali’s covering theorem

Density

Definition of perimeter

Line sections

**BV Functions **Variation

Mollification

Vector valued measures

Weak convergence

Properties of BV functions

Approximation theorem

Coarea theorem

Bounded convex domains

Inequalities

**Locally BV Sets **Dimension one

Besicovitch’s covering theorem

The reduced boundary

Blow-up

Perimeter and variation

Properties of BV sets

Approximating by figures

**THE DIVERGENCE THEOREM Bounded Vector Fields**Approximating from inside

Relative derivatives

The critical interior

The divergence theorem

Lipschitz domains

**Unbounded Vector Fields**Minkowski contents

Controlled vector fields

Integration by parts

**Mean Divergence **The derivative

The critical variation

**Charges **Continuous vector fields

Localized topology

Locally convex spaces

Duality

The space

Streams

**The Divergence Equation **Background

Solutions in

Continuous solutions

**Bibliography **

**List of Symbols **

**Index**

Publish Book:

Modify Date:

Tuesday, April 24, 2012

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