Geometric Measure Theory

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  • Publisher : Springer
  • Release : 25 November 2014
  • ISBN : 9783642620102
  • Page : 677 pages
  • Rating : 5/5 from 1 voters

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"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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Geometric Measure Theory

Geometric Measure Theory
  • Author : Herbert Federer
  • Publisher : Springer
  • Release Date : 2014-11-25
  • ISBN : 9783642620102
GET THIS BOOKGeometric 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)

Geometric Measure Theory

Geometric Measure Theory
  • Author : Frank Morgan
  • Publisher : Elsevier
  • Release Date : 2014-05-10
  • ISBN : 9781483277806
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

Lectures on Geometric Measure Theory

Lectures on Geometric Measure Theory
  • Author : Leon Simon
  • Publisher : Unknown
  • Release Date : 1984
  • ISBN : 0867844299
GET THIS BOOKLectures on Geometric Measure Theory

Geometric Integration Theory

Geometric Integration Theory
  • Author : Steven G. Krantz,Harold R. Parks
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-12-15
  • ISBN : 9780817646790
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

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 Nature
  • Release Date : 2021-03-23
  • ISBN : 9783030657994
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 Date : 2002
  • ISBN : 1571461256
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.

Sets of Finite Perimeter and Geometric Variational Problems

Sets of Finite Perimeter and Geometric Variational Problems
  • Author : Francesco Maggi
  • Publisher : Cambridge University Press
  • Release Date : 2012-08-09
  • ISBN : 9781139560894
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

Partial Differential Equations and Geometric Measure Theory

Partial Differential Equations and Geometric Measure Theory
  • Author : Alessio Figalli,Enrico Valdinoci,Ireneo Peral
  • Publisher : Springer
  • Release Date : 2018-05-23
  • ISBN : 9783319740423
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

Curvature Measures of Singular Sets

Curvature Measures of Singular Sets
  • Author : Jan Rataj,Martina Zähle
  • Publisher : Springer
  • Release Date : 2019-06-22
  • ISBN : 9783030181833
GET THIS BOOKCurvature Measures of Singular Sets

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a

Geometric Measure Theory

Geometric Measure Theory
  • Author : Herbert Federer
  • Publisher : Springer Verlag
  • Release Date : 1969
  • ISBN : UOM:39015015618476
GET THIS BOOKGeometric Measure Theory

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 writes with a distinctive style which is both natural and powerfully economical in treating a complicated subject. 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"

Geometric Integration Theory

Geometric Integration Theory
  • Author : Hassler Whitney
  • Publisher : Courier Corporation
  • Release Date : 2012-01-27
  • ISBN : 9780486154701
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.

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 Date : 1986
  • ISBN : 9780821814703
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

Geometry of Sets and Measures in Euclidean Spaces

Geometry of Sets and Measures in Euclidean Spaces
  • Author : Pertti Mattila
  • Publisher : Cambridge University Press
  • Release Date : 1999-02-25
  • ISBN : 0521655951
GET THIS BOOKGeometry of Sets and Measures in Euclidean Spaces

This book studies the geometric properties of general sets and measures in euclidean space.

An Introduction to Measure Theory

An Introduction to Measure Theory
  • Author : Terence Tao
  • Publisher : American Mathematical Soc.
  • Release Date : 2021-09-03
  • ISBN : 9781470466404
GET THIS BOOKAn Introduction to Measure Theory

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
  • Author : Luca Capogna,Donatella Danielli,Scott D. Pauls,Jeremy Tyson
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-08-08
  • ISBN : 9783764381332
GET THIS BOOKAn Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

This book gives an up-to-date account of progress on Pansu's celebrated problem on the sub-Riemannian isoperimetric profile of the Heisenberg group. It also serves as an introduction to the general field of sub-Riemannian geometric analysis. It develops the methods and tools of sub-Riemannian differential geometry, nonsmooth analysis, and geometric measure theory suitable for attacks on Pansu's problem.