did-you-know? rent-now

Amazon no longer offers textbook rentals. We do!

did-you-know? rent-now

Amazon no longer offers textbook rentals. We do!

We're the #1 textbook rental company. Let us show you why.

9780125068574

Geometric Measure Theory

by ;
  • ISBN13:

    9780125068574

  • ISBN10:

    0125068573

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1995-04-01
  • Publisher: Academic Pr

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping Icon Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • eCampus.com Logo Get Rewarded for Ordering Your Textbooks! Enroll Now
  • Write a Review Icon Write a Review
  • Complimentary 7-Day eTextbook Access - Read more
    When you rent or buy this book, you will receive complimentary 7-day online access to the eTextbook version from your PC, Mac, tablet, or smartphone. Feature not included on Marketplace Items.
List Price: $57.95 Save up to $17.39
  • Rent Book $40.56
    Add to Cart Free Shipping Icon Free Shipping

    TERM
    PRICE
    DUE

    7-Day eTextbook Access 7-Day eTextbook Access

    USUALLY SHIPS IN 3-5 BUSINESS DAYS
    *This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.

Supplemental Materials

What is included with this book?

Summary

Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap bubbles as well as updated sections addressing volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results. The text will introduce newcomers to the field and appeal to mathematicians working in the field.

Table of Contents

Prefacep. vii
Geometric Measure Theoryp. 1
Measuresp. 7
Lipschitz Functions and Rectifiable Setsp. 21
Normal and Rectifiable Currentsp. 35
The Compactness Theorem and the Existence of Area-Minimizing Surfacesp. 59
Examples of Area-Minimizing Surfacesp. 67
The Approximation Theoremp. 77
Survey of Regularity Resultsp. 81
Monotonicity and Oriented Tangent Conesp. 87
The Regularity of Area-Minimizing Hypersurfacesp. 97
Flat Chains Modulo [upsilon], Varifolds, and (M, [varepsilon], [delta])-Minimal Setsp. 105
Miscellaneous Useful Resultsp. 113
Soap Bubble Clustersp. 121
Proof of Double Bubble Conjecturep. 141
The Hexagonal Honeycomb and Kelvin Conjecturesp. 157
Immiscible Fluids and Crystalsp. 173
Isoperimetric Theorems in General Codimensionp. 181
Solutions to Exercisesp. 185
Bibliographyp. 203
Index of Symbolsp. 217
Name Indexp. 221
Subject Indexp. 223
Table of Contents provided by Syndetics. All Rights Reserved.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rewards Program