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# ðŸ“™ Geometric Measure Theory. A Beginner's Guide by Frank Morgan (Auth.) â€” free epub

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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

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- Author:
**Frank Morgan (Auth.)** - Year:
**1995** - Publisher:
**Elsevier Inc, Academic Press** - Language:
**English** - ISBN:
**978-0-12-506857-4,0125068573**

- File size:
**12 122 621** - Format:
**pdf**

Security code:

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 bibliograp...

From the reviews: "... Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author ...

Since the publication of the seminal work of H. Federer which gives a rather complete and comprehensive discussion on the subject, the geometric measure theory has developed in the last three decades into an even more cohesive body of basic knowledge with...

The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geo...

This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, i...

Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduc...

What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introd...

What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introd...

Measure theory is a classical area of mathematics born more than two thousand years ago. Nowadays it continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics.This book ...

This text provides approaches and methodologies for implementing pollution prevention (P2) and waste minimization programmes to reduce manufacturing operational costs significantly. It focuses on reducing manufacturing and environmental compliance costs b...

In this two-volume set, Meyer (polymer reaction engineering, Swiss Federal Institute of Technology, Switzerland) and Keurentjes (process development, Eindhoven University of Technology) present the current state of knowledge on polymer reaction engineerin...

Details the legal, organizational, hierarchical, and environmental components of pollution prevention and waste reduction....

"Summarizes research and progress in understanding the fundamental molecular properties of polycarbonates by covering history, theory, modeling, and spectroscopy. Offers the first comprehensive survey of polycarbonates in over 30 years."...

An in-depth review of important preparative methods for the synthesis and chemical modification of polymers, this authoritative second edition examines the advantages and limitations of various polymerization applications and procedures. It features new a...

A handbook on polyolefins. This second edition includes new material on the structure, morphology and properties of polyolefin (PO) synthesis. It focuses on synthetic advances, the use of additives, special coverage of PO blends, composites and fibres, an...

The second edition of this book is created to assist the clinician in the initial response to the needs of a child or adult exposed to a poisonous or injurious plant. It lists common plants that might lead to the development of the symptom complex and des...