عنوان

Geometric measure theory :

شابک

0080525601

شابک

9780080525600

شابک اشتباه

0125068514

شابک اشتباه

9780125068512

شماره

b720479

عنوان اصلي

Geometric measure theory :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a beginner's guide /

نام نخستين پديدآور

Frank Morgan ; illustrated by James F. Bredt.

وضعيت ويراست

3rd ed.

محل نشرو پخش و غیره

San Diego :

نام ناشر، پخش کننده و غيره

Academic Press,

تاریخ نشرو بخش و غیره

©2000.

نام خاص و کميت اثر

1 online resource (ix, 226 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references (pages 203-215) and indexes.

متن يادداشت

Preface. Geometric Measure Theory. Measures. Lipschitz Functions and Rectifiable Sets. Normal and Rectifiable Currents. The Compactness Theorem and the Existence of Area-Minimizing Surfaces. Examples of Area-Minimizing Surfaces. The Approximation Theorem. Survey of Regularity Results. Monotonicity and Oriented Tangent Cones. The Regularity of Area-Minimizing Hypersurfaces. Flat Chains Modulo v, Varifolds, and (M, E,)-Minimal Sets. Miscellaneous Useful Results. Soap Bubble Clusters. Proof of Double Bubble Conjecture. The Hexagonal Honeycomb and Kelvin Conjectures. Immiscible Fluids and Crystals. Isoperimetric Theorems in General Codimension. Solutions to Exercises. Bibliography. Index of Symbols. Name Index. Subject Index.

بدون عنوان

0

متن يادداشت

Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Over the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology. This third edition of Geometric Measure Theory: A Beginner's Guide presents, for the first time in print, the proofs of the double bubble and the hexagonal honeycomb conjectures. Four new chapters lead the reader through treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals. The abundant illustrations, examples, exercises, and solutions in this book will enhance its reputation as the most accessible introduction to the subject.

منبع سفارش / آدرس اشتراک

Elsevier Science & Technology

شماره انبار

89403:89403

عنوان

Geometric measure theory.

شماره استاندارد بين المللي کتاب و موسيقي

9780125068512

موضوع مستند نشده

Geometric measure theory.

موضوع مستند نشده

Geometric measure theory.

موضوع مستند نشده

MATHEMATICS-- Calculus.

موضوع مستند نشده

MATHEMATICS-- Mathematical Analysis.

موضوع مستند نشده

MAT-- 005000

موضوع مستند نشده

MAT-- 034000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Morgan, Frank, (Professor of Mathematics, Williams College)

تاريخ عمليات

20201208121411.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y