Geometric Measure Theory

"This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)

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  • Author : Herbert Federer
  • Publisher : Springer
  • Pages : 677 pages
  • ISBN : 3642620108
  • Rating : 5/5 from 1 reviews
CLICK HERE TO GET THIS BOOKGeometric Measure Theory

Geometric Measure Theory

Geometric Measure Theory
  • Author : Frank Morgan
  • Publisher : Elsevier
  • Release : 10 May 2014
GET THIS BOOKGeometric Measure Theory

Geometric Measure Theory: A Beginner's Guide provides information pertinent to the development of geometric measure theory. This book presents a few fundamental arguments and a superficial discussion of the regularity theory. Organized into 12 chapters, this book begins with an overview of the purpose and fundamental concepts of geometric measure theory. This text then provides the measure-theoretic foundation, including the definition of Hausdorff measure and covering theory. Other chapters consider the m-dimensional surfaces of geometric measure theory called rectifiable sets and

Geometric Measure Theory

Geometric Measure Theory
  • Author : Frank Morgan
  • Publisher : Academic Press
  • Release : 01 June 2016
GET THIS BOOKGeometric Measure Theory

Geometric measure theory provides the framework to understand the structure of a crystal, a soap bubble cluster, or a universe. Geometric Measure Theory: A Beginner's Guide is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Brevity, clarity and scope make this classic book an excellent introduction to more complex ideas from geometric measure theory and the calculus of variations for beginning graduate students and researchers. Morgan

Geometric Measure Theory and Real Analysis

Geometric Measure Theory and Real Analysis
  • Author : Luigi Ambrosio
  • Publisher : Springer
  • Release : 09 April 2015
GET THIS BOOKGeometric Measure Theory and Real Analysis

In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G. Alberti, C. De Lellis and myself, took place at the Centro De Giorgi in Pisa, with lectures by V. Bogachev, R. Monti, E. Spadaro and D. Vittone. The book collects the notes of the courses. The courses provide a deep and up to date insight on challenging mathematical problems and their recent developments: infinite-dimensional analysis, minimal surfaces and isoperimetric problems in the Heisenberg group, regularity of sub-Riemannian

Partial Differential Equations and Geometric Measure Theory

Partial Differential Equations and Geometric Measure Theory
  • Author : Alessio Figalli,Enrico Valdinoci,Ireneo Peral
  • Publisher : Springer
  • Release : 23 May 2018
GET THIS BOOKPartial Differential Equations and Geometric Measure Theory

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the

Geometric Integration Theory

Geometric Integration Theory
  • Author : Steven G. Krantz,Harold R. Parks
  • Publisher : Springer Science & Business Media
  • Release : 15 December 2008
GET THIS BOOKGeometric Integration Theory

This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal

Sets of Finite Perimeter and Geometric Variational Problems

Sets of Finite Perimeter and Geometric Variational Problems
  • Author : Francesco Maggi
  • Publisher : Cambridge University Press
  • Release : 09 August 2012
GET THIS BOOKSets of Finite Perimeter and Geometric Variational Problems

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 geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in

Advanced Basics of Geometric Measure Theory

Advanced Basics of Geometric Measure Theory
  • Author : Maria Roginskaya
  • Publisher : Lulu.com
  • Release : 08 August 2015
GET THIS BOOKAdvanced Basics of Geometric Measure Theory

This book is based on lecture notes for a short course for Masters level or senior undergraduate students. It may also serve as easy (and hopefully pleasant) reading for researchers in a different field of Mathematics. The main purpose of the book is to look closely at some results that are basic for modern Analysis and which fascinated the author when she was a student, and to show how they constitute a foundation for the branch of Analysis known as

Geometric Measure Theory and Free Boundary Problems

Geometric Measure Theory and Free Boundary Problems
  • Author : Guido De Philippis,Xavier Ros-Oton,Georg S. Weiss
  • Publisher : Springer
  • Release : 24 March 2021
GET THIS BOOKGeometric Measure Theory and Free Boundary Problems

This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school “Geometric Measure Theory and Applications – From Geometric Analysis to Free Boundary Problems” which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for

Geometric Measure Theory

Geometric Measure Theory
  • Author : Fanghua Lin,Xiaoping Yang
  • Publisher : International Pressof Boston Incorporated
  • Release : 25 October 2021
GET THIS BOOKGeometric Measure Theory

This work is intended to give a quick overview on the subject of the geometric measure theory with emphases on various basic ideas, techniques and their applications in problems arising in the calculus of variations, geometrical analysis and nonlinear partial differential equations.

Geometric Measure Theory

Geometric Measure Theory
  • Author : Frank Morgan
  • Publisher : Unknown Publisher
  • Release : 25 October 1988
GET THIS BOOKGeometric Measure Theory

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. This Second Edition features a new chapter on soap bubbles.

Geometric Measure Theory and the Calculus of Variations

Geometric Measure Theory and the Calculus of Variations
  • Author : Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 Humbol
  • Publisher : American Mathematical Soc.
  • Release : 25 October 1986
GET THIS BOOKGeometric Measure Theory and the Calculus of Variations

These twenty-six papers survey a cross section of current work in modern geometric measure theory and its applications in the calculus of variations. Presently the field consists of a jumble of new ideas, techniques and intuitive hunches; an exchange of information has been hindered, however, by the characteristic length and complexity of formal research papers in higher-dimensional geometric analysis. This volume provides an easier access to the material, including introductions and summaries of many of the authors' much longer works

Geometric Integration Theory

Geometric Integration Theory
  • Author : Hassler Whitney
  • Publisher : Courier Corporation
  • Release : 27 January 2012
GET THIS BOOKGeometric Integration Theory

Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. 1957 edition.