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Geometric and Ergodic Aspects of Group Actions (Repost)

Posted By: AvaxGenius
Geometric and Ergodic Aspects of Group Actions (Repost)

Geometric and Ergodic Aspects of Group Actions by S. G. Dani
English | PDF | 2019 | 176 Pages | ISBN : 9811506825 | 5.3 MB

This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.

Applications of Lie Groups to Differential Equations

Posted By: AvaxGenius
Applications of Lie Groups to Differential Equations

Applications of Lie Groups to Differential Equations by Peter J. Olver
English | PDF | 1986 | 524 Pages | ISBN : 0387962506 | 105.9 MB

This book is devoted to explaining a wide range of applications of con­ tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations.

Introduction to Quantum Groups

Posted By: AvaxGenius
Introduction to Quantum Groups

Introduction to Quantum Groups by George Lusztig
English | PDF | 2010 (Reprint of the 1994 Edition) | 361 Pages | ISBN : 0817637125 | 21.2 MB

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. It is shown that these algebras have natural integral forms that can be specialized at roots of 1 and yield new objects, which include quantum versions of the semi-simple groups over fields of positive characteristic.

Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

Posted By: AvaxGenius
Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

Applications of Symmetry Methods to Partial Differential Equations by George W. Bluman
English | PDF(True) | 2010 | 415 Pages | ISBN : 038798612X | 1.9 MB

This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether’s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful.

Convergence Structures and Applications to Functional Analysis

Posted By: AvaxGenius
Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis by R. Beattie
English | PDF | 2002 | 264 Pages | ISBN : 1402005660 | 21.4 MB

For many, modern functional analysis dates back to Banach's book [Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theorem and the uniform boundedness principle were developed in the setting of complete normed and complete metrizable spaces. When analysts realized the power and applicability of these methods, they sought to generalize the concept of a metric space and to broaden the scope of these theorems.

Lie Groups, Number Theory, and Vertex Algebras

Posted By: roxul
Lie Groups, Number Theory, and Vertex Algebras

Drazen Adamovic, Andrej Dujella, "Lie Groups, Number Theory, and Vertex Algebras"
English | ISBN: 1470453517 | 2021 | 342 pages | PDF | 45 MB

Lie Groups

Posted By: AvaxGenius
Lie Groups

Lie Groups by Luiz A. B. San Martin
English | PDF,EPUB | 2021 | 373 Pages | ISBN : 3030618234 | 27.1 MB

This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. Lie groups are a special class of groups that are studied using differential and integral calculus methods.

Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2019

Posted By: AvaxGenius
Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2019

Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2019 by Vladimir Dobrev
English | PDF,EPUB | 2020 | 545 Pages | ISBN : 9811577749 | 44 MB

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019.

Foundations of Differentiable Manifolds and Lie Groups

Posted By: arundhati
Foundations of Differentiable Manifolds and Lie Groups

Frank W. Warner, "Foundations of Differentiable Manifolds and Lie Groups "
English | ISBN: 0387908943 | | 276 pages | DJVU | 2 MB

Differential Geometry and Lie Groups: A Second Course

Posted By: roxul
Differential Geometry and Lie Groups: A Second Course

Jean Gallier, "Differential Geometry and Lie Groups: A Second Course"
English | ISBN: 3030460460 | 2020 | 634 pages | EPUB, PDF | 38 MB + 8 MB

Differential Geometry and Lie Groups: A Computational Perspective

Posted By: roxul
Differential Geometry and Lie Groups: A Computational Perspective

Jean Gallier, "Differential Geometry and Lie Groups: A Computational Perspective"
English | ISBN: 3030460398 | 2020 | 749 pages | EPUB, PDF | 55 MB + 18 MB

Manifolds, Sheaves, and Cohomology

Posted By: AvaxGenius
Manifolds, Sheaves, and Cohomology

Manifolds, Sheaves, and Cohomology by Torsten Wedhorn
English | EPUB | 2016 | 366 Pages | ISBN : 3658106328 | 8.51 MB

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions.

Lie Groups, Differential Equations, and Geometry: Advances and Surveys

Posted By: AvaxGenius
Lie Groups, Differential Equations, and Geometry: Advances and Surveys

Lie Groups, Differential Equations, and Geometry: Advances and Surveys by Giovanni Falcone
English | PDF(Repost),EPUB | 2017 | 368 Pages | ISBN : 3319621807 | 10.07 MB

This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.