Sets Of Finite Perimeter And Geometric Variational Problems


Sets Of Finite Perimeter And Geometric Variational Problems
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Sets Of Finite Perimeter And Geometric Variational Problems


Sets Of Finite Perimeter And Geometric Variational Problems
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Author : Francesco Maggi
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-09

Sets Of Finite Perimeter And Geometric Variational Problems written by Francesco Maggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-09 with Mathematics categories.


An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.



Sets Of Finite Perimeter And Geometric Variational Problems


Sets Of Finite Perimeter And Geometric Variational Problems
DOWNLOAD

Author : Francesco Maggi
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-09

Sets Of Finite Perimeter And Geometric Variational Problems written by Francesco Maggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-09 with Mathematics categories.


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 geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of area-minimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduate-level textbook suitable for self-study and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory.



The Divergence Theorem And Sets Of Finite Perimeter


The Divergence Theorem And Sets Of Finite Perimeter
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Author : Washek F. Pfeffer
language : en
Publisher: CRC Press
Release Date : 2016-02-03

The Divergence Theorem And Sets Of Finite Perimeter written by Washek F. Pfeffer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-03 with Mathematics categories.


This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration- no generalized Riemann integrals of Henstock-Kurzweil variety are involved.In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral an



Optimal Mass Transport On Euclidean Spaces


Optimal Mass Transport On Euclidean Spaces
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Author : Francesco Maggi
language : en
Publisher: Cambridge University Press
Release Date : 2023-10-31

Optimal Mass Transport On Euclidean Spaces written by Francesco Maggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-31 with Mathematics categories.


This is a graduate-level introduction to the key ideas and theoretical foundation of the vibrant field of optimal mass transport in the Euclidean setting. Taking a pedagogical approach, it introduces concepts gradually and in an accessible way, while also remaining technically and conceptually complete.



Geometric Flows On Planar Lattices


Geometric Flows On Planar Lattices
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Author : Andrea Braides
language : en
Publisher: Springer Nature
Release Date : 2021-03-23

Geometric Flows On Planar Lattices written by Andrea Braides and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Mathematics categories.


This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.



Scale Space And Variational Methods In Computer Vision


Scale Space And Variational Methods In Computer Vision
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Author : Abderrahim Elmoataz
language : en
Publisher: Springer Nature
Release Date : 2021-04-29

Scale Space And Variational Methods In Computer Vision written by Abderrahim Elmoataz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-29 with Computers categories.


This book constitutes the proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021, which took place during May 16-20, 2021. The conference was planned to take place in Cabourg, France, but changed to an online format due to the COVID-19 pandemic. The 45 papers included in this volume were carefully reviewed and selected from a total of 64 submissions. They were organized in topical sections named as follows: scale space and partial differential equations methods; flow, motion and registration; optimization theory and methods in imaging; machine learning in imaging; segmentation and labelling; restoration, reconstruction and interpolation; and inverse problems in imaging.



Local Cohomology


Local Cohomology
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Author : M. P. Brodmann
language : en
Publisher: Cambridge University Press
Release Date : 2012-11-15

Local Cohomology written by M. P. Brodmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-15 with Mathematics categories.


This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum–Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton–Hansen Connectedness Theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. The book is designed for graduate students who have some experience of basic commutative algebra and homological algebra and also experts in commutative algebra and algebraic geometry. Over 300 exercises are interspersed among the text; these range in difficulty from routine to challenging, and hints are provided for some of the more difficult ones.



Optimal Control And Geometry Integrable Systems


Optimal Control And Geometry Integrable Systems
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Author : Velimir Jurdjevic
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-04

Optimal Control And Geometry Integrable Systems written by Velimir Jurdjevic and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-04 with Mathematics categories.


Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.



Geometric Harmonic Analysis I


Geometric Harmonic Analysis I
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Author : Dorina Mitrea
language : en
Publisher: Springer Nature
Release Date : 2022-11-04

Geometric Harmonic Analysis I written by Dorina Mitrea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-04 with Mathematics categories.


This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.



Analytic Combinatorics In Several Variables


Analytic Combinatorics In Several Variables
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Author : Robin Pemantle
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-31

Analytic Combinatorics In Several Variables written by Robin Pemantle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Mathematics categories.


Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.