An Introduction To The Geometrical Analysis Of Vector Fields: With Applications To Maximum Principles And Lie Groups

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Publisher : World Scientific
ISBN 13 : 9813276630
Total Pages : 450 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis An Introduction To The Geometrical Analysis Of Vector Fields: With Applications To Maximum Principles And Lie Groups by : Stefano Biagi

Download or read book An Introduction To The Geometrical Analysis Of Vector Fields: With Applications To Maximum Principles And Lie Groups written by Stefano Biagi and published by World Scientific. This book was released on 2018-12-05 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:

Hormander Operators

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Publisher : World Scientific
ISBN 13 : 9811261709
Total Pages : 722 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Hormander Operators by : Marco Bramanti

Download or read book Hormander Operators written by Marco Bramanti and published by World Scientific. This book was released on 2022-10-21 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hörmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are usually degenerate elliptic-parabolic, but nevertheless hypoelliptic, that is highly regularizing. The study of these operators began with the 1967 fundamental paper by Lars Hörmander and is intimately connected to the geometry of vector fields.Motivations for the study of Hörmander operators come for instance from Kolmogorov-Fokker-Planck equations arising from modeling physical systems governed by stochastic equations and the geometric theory of several complex variables. The aim of this book is to give a systematic exposition of a relevant part of the theory of Hörmander operators and vector fields, together with the necessary background and prerequisites.The book is intended for self-study, or as a reference book, and can be useful to both younger and senior researchers, already working in this area or aiming to approach it.

An Introduction to the Geometrical Analysis of Vector Fields

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Publisher :
ISBN 13 : 9789813276628
Total Pages : 423 pages
Book Rating : 4.2/5 (766 download)

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Book Synopsis An Introduction to the Geometrical Analysis of Vector Fields by : Stefano Biagi

Download or read book An Introduction to the Geometrical Analysis of Vector Fields written by Stefano Biagi and published by . This book was released on 2018 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:

Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications

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Publisher : World Scientific
ISBN 13 : 9810248415
Total Pages : 495 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications by : A. Anzaldo-Meneses

Download or read book Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications written by A. Anzaldo-Meneses and published by World Scientific. This book was released on 2002 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerns contemporary trends in nonlinear geometric control theory and its applications.

An Introduction to the Geometrical Analysis of Vector Fields

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Publisher :
ISBN 13 : 9789811221248
Total Pages : 452 pages
Book Rating : 4.2/5 (212 download)

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Book Synopsis An Introduction to the Geometrical Analysis of Vector Fields by : STEFANO. BONFIGLIOLI BIAGI (ANDREA.)

Download or read book An Introduction to the Geometrical Analysis of Vector Fields written by STEFANO. BONFIGLIOLI BIAGI (ANDREA.) and published by . This book was released on 2019-01-14 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings: ODE theory; Maximum Principles (weak, strong and propagation principles); Lie groups (with an emphasis on the construction of Lie groups). This book also provides an introduction to the basic theory of Geometrical Analysis, with a new foundational presentation based on Ordinary Differential Equation techniques, in a unitary and self-contained way.

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians

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Publisher : Springer Science & Business Media
ISBN 13 : 3540718974
Total Pages : 812 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Stratified Lie Groups and Potential Theory for Their Sub-Laplacians by : Andrea Bonfiglioli

Download or read book Stratified Lie Groups and Potential Theory for Their Sub-Laplacians written by Andrea Bonfiglioli and published by Springer Science & Business Media. This book was released on 2007-08-24 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry.

Mathematical Principles of Topological and Geometric Data Analysis

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Publisher : Springer Nature
ISBN 13 : 303133440X
Total Pages : 287 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Mathematical Principles of Topological and Geometric Data Analysis by : Parvaneh Joharinad

Download or read book Mathematical Principles of Topological and Geometric Data Analysis written by Parvaneh Joharinad and published by Springer Nature. This book was released on 2023-07-29 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical prerequisites, covering topics ranging from category theory to algebraic topology, Riemannian geometry, operator theory and network analysis, it goes on to describe and analyze some of the most important machine learning techniques for dimension reduction, including the different types of manifold learning and kernel methods. It also develops a new notion of curvature of generalized metric spaces, based on the notion of hyperconvexity, which can be used for the topological representation of geometric information. In recent years there has been a fascinating development: concepts and methods originally created in the context of research in pure mathematics, and in particular in geometry, have become powerful tools in machine learning for the analysis of data. The underlying reason for this is that data are typically equipped with some kind of notion of distance, quantifying the differences between data points. Of course, to be successfully applied, the geometric tools usually need to be redefined, generalized, or extended appropriately. Primarily aimed at mathematicians seeking an overview of the geometric concepts and methods that are useful for data analysis, the book will also be of interest to researchers in machine learning and data analysis who want to see a systematic mathematical foundation of the methods that they use.

An Introduction to Lie Groups and Lie Algebras

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Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Lie Groups and Lie Algebras by : Alexander A. Kirillov

Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

Tautological Control Systems

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Publisher : Springer
ISBN 13 : 3319086383
Total Pages : 128 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Tautological Control Systems by : Andrew D. Lewis

Download or read book Tautological Control Systems written by Andrew D. Lewis and published by Springer. This book was released on 2014-07-22 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.

Cornell University Courses of Study

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Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Cornell University Courses of Study by : Cornell University

Download or read book Cornell University Courses of Study written by Cornell University and published by . This book was released on 2006 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

UC Santa Cruz

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis UC Santa Cruz by : University of California, Santa Cruz

Download or read book UC Santa Cruz written by University of California, Santa Cruz and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Noncommutative Algebra

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Publisher : Springer
ISBN 13 : 3642225977
Total Pages : 554 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Topics in Noncommutative Algebra by : Andrea Bonfiglioli

Download or read book Topics in Noncommutative Algebra written by Andrea Bonfiglioli and published by Springer. This book was released on 2011-10-11 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications. The book assumes some undergraduate-level knowledge of algebra and analysis, but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool for beginners in Algebra.

Announcements

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Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Announcements by : University of Chicago

Download or read book Announcements written by University of Chicago and published by . This book was released on 1972 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalogue

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Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Catalogue by : University of California, Santa Cruz

Download or read book Catalogue written by University of California, Santa Cruz and published by . This book was released on with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Random Matrix Theory of the Classical Compact Groups

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Publisher : Cambridge University Press
ISBN 13 : 1108317995
Total Pages : 225 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis The Random Matrix Theory of the Classical Compact Groups by : Elizabeth S. Meckes

Download or read book The Random Matrix Theory of the Classical Compact Groups written by Elizabeth S. Meckes and published by Cambridge University Press. This book was released on 2019-08-01 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's deep connections to geometry, analysis, algebra, physics, and statistics. The book sets a foundation with an introduction to the groups themselves and six different constructions of Haar measure. Classical and recent results are then presented in a digested, accessible form, including the following: results on the joint distributions of the entries; an extensive treatment of eigenvalue distributions, including the Weyl integration formula, moment formulae, and limit theorems and large deviations for the spectral measures; concentration of measure with applications both within random matrix theory and in high dimensional geometry; and results on characteristic polynomials with connections to the Riemann zeta function. This book will be a useful reference for researchers and an accessible introduction for students in related fields.

Annual Catalogue

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Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Annual Catalogue by : Massachusetts Institute of Technology

Download or read book Annual Catalogue written by Massachusetts Institute of Technology and published by . This book was released on 1954 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: