The Interaction Of Analysis And Geometry

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Geometric Analysis

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Author : Peter Li
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-03

Geometric Analysis written by Peter Li 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 2012-05-03 with Mathematics categories.

This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis.

Asymptotic Geometric Analysis Part Ii

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Author : Shiri Artstein-Avidan
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-13

Asymptotic Geometric Analysis Part Ii written by Shiri Artstein-Avidan and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Mathematics categories.

This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series. Asymptotic geometric analysis studies properties of geometric objects, such as normed spaces, convex bodies, or convex functions, when the dimensions of these objects increase to infinity. The asymptotic approach reveals many very novel phenomena which influence other fields in mathematics, especially where a large data set is of main concern, or a number of parameters which becomes uncontrollably large. One of the important features of this new theory is in developing tools which allow studying high parametric families. Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, the Banach-Mazur compactum, symmetrizations, restricted invertibility, and functional versions of geometric notions and inequalities.

Topological Persistence In Geometry And Analysis

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Author : Leonid Polterovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-05-11

Topological Persistence In Geometry And Analysis written by Leonid Polterovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-11 with Education categories.

The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.

Geometric Analysis

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Author : Ailana Fraser
language : en
Publisher: Springer Nature
Release Date : 2020-08-20

Geometric Analysis written by Ailana Fraser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-20 with Mathematics categories.

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces. An output of the CIME Summer School "Geometric Analysis" held in Cetraro in 2018, it offers a collection of lecture notes prepared by Ailana Fraser (UBC), André Neves (Chicago), Peter M. Topping (Warwick), and Paul C. Yang (Princeton). These notes will be a valuable asset for researchers and advanced graduate students in geometric analysis.

The Interaction Of Analysis And Geometry

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Author : International School--Conference on Analysis and Geometry
language : en
Publisher:
Release Date : 2012

The Interaction Of Analysis And Geometry written by International School--Conference on Analysis and Geometry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Functional analysis categories.

Analysis Geometry And Modeling In Finance

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Author : Pierre Henry-Labordere
language : en
Publisher: CRC Press
Release Date : 2008-09-22

Analysis Geometry And Modeling In Finance written by Pierre Henry-Labordere and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-22 with Business & Economics categories.

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

Discrete Differential Geometry

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Author : Alexander I. Bobenko
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Discrete Differential Geometry written by Alexander I. Bobenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

"An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of Integrable systems. One of the main goals of this book Is to reveal this integrable structure of discrete differential geometry." "The intended audience of this book is threefold. It is a textbook on discrete differential geometry and integrable systems suitable for a one semester graduate course. On the other hand, it is addressed to specialists in geometry and mathematical physics. It reflects the recent progress in discrete differential geometry and contains many original results. The third group of readers at which this book is targeted is formed by specialists in geometry processing, computer graphics, architectural design, numerical simulations, and animation. They may find here answers to the question "How do we discretize differential geometry?" arising in their specific field."--BOOK JACKET.

Geometric Control And Nonsmooth Analysis In Honor Of The 73rd Birthday Of H Hermes And Of The 71st Birthday Of R T Rockafellar

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Author : Fabio Ancona
language : en
Publisher: World Scientific
Release Date : 2008-07-08

Geometric Control And Nonsmooth Analysis In Honor Of The 73rd Birthday Of H Hermes And Of The 71st Birthday Of R T Rockafellar written by Fabio Ancona and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-08 with Mathematics categories.

The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.

Operator Theory Operator Algebras And Their Interactions With Geometry And Topology

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Author : Raul E Curto
language : en
Publisher: Springer Nature
Release Date : 2020-12-12

Operator Theory Operator Algebras And Their Interactions With Geometry And Topology written by Raul E Curto and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-12 with Mathematics categories.

This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.

A Combination Of Geometry Theorem Proving And Nonstandard Analysis With Application To Newton S Principia

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Author : Jacques Fleuriot
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-30

A Combination Of Geometry Theorem Proving And Nonstandard Analysis With Application To Newton S Principia written by Jacques Fleuriot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-30 with Mathematics categories.

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) contains a prose-style mixture of geometric and limit reasoning that has often been viewed as logically vague. In A Combination of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot presents a formalization of Lemmas and Propositions from the Principia using a combination of methods from geometry and nonstandard analysis. The mechanization of the procedures, which respects much of Newton's original reasoning, is developed within the theorem prover Isabelle. The application of this framework to the mechanization of elementary real analysis using nonstandard techniques is also discussed.