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Hyperbolic Manifolds and Discrete Groups

Posted By: AvaxGenius
Hyperbolic Manifolds and Discrete Groups

Hyperbolic Manifolds and Discrete Groups by Michael Kapovich
English | PDF | 2010 | 486 Pages | ISBN : 0817639047 | 40.5 MB

This classic book is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on Thurston’s hyperbolization theorem, one of the central results of 3-dimensional topology that has completely changed the landscape of the field. The book contains a number of open problems and conjectures related to the hyperbolization theorem as well as rich discussions on related topics including geometric structures on 3-manifolds, higher dimensional negatively curved manifolds, and hyperbolic groups.

An Introduction to Noncommutative Spaces and their Geometries

Posted By: AvaxGenius
An Introduction to Noncommutative Spaces and their Geometries

An Introduction to Noncommutative Spaces and their Geometries: Characterization of the Shallow Subsurface Implications for Urban Infrastructure and Environmental Assessment by Giovanni Landi
English | PDF | 1997 | 216 Pages | ISBN : 3540635092 | 2.1 MB

These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some 'virtual noncommutative space'. Attention is switched from spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology.

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces

Posted By: AvaxGenius
Measure and Category: A Survey of the Analogies between Topological and Measure Spaces

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces by John C. Oxtoby
English | PDF | 1980 | 115 Pages | ISBN : 0387905081 | 11.7 MB

In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks. Most of the remarks are accompanied by a briefly indicated proof, which is sometimes different from the one given in the reference cited.

Advances in Computer Graphics (Repost)

Posted By: AvaxGenius
Advances in Computer Graphics (Repost)

Advances in Computer Graphics: 37th Computer Graphics International Conference, CGI 2020, Geneva, Switzerland, October 20–23, 2020, Proceedings by Nadia Magnenat-Thalmann
English | PDF | 2020 | 562 Pages | ISBN : 3030618633 | 104.2 MB

This book constitutes the refereed proceedings of the 37th Computer Graphics International Conference, CGI 2020, held in Geneva, Switzerland, in October 2020. The conference was held virtually.

The Poincare Conjecture: In Search of the Shape of the Universe

Posted By: l3ivo
The Poincare Conjecture: In Search of the Shape of the Universe

Donal O'Shea, "The Poincare Conjecture: In Search of the Shape of the Universe"
English | 2008 | ISBN: 0802716547, 080271532X | 304 pages | EPUB | 7.5 MB

Schaums Outline of General Topology

Posted By: l3ivo
Schaums Outline of General Topology

Seymour Lipschutz, "Schaums Outline of General Topology"
English | 2011 | ISBN: 0071763473 | 256 pages | PDF | 12.9 MB

Episodes in Nineteenth and Twentieth Century Euclidean Geometry

Posted By: l3ivo
Episodes in Nineteenth and Twentieth Century Euclidean Geometry

Ross Honsberger, "Episodes in Nineteenth and Twentieth Century Euclidean Geometry"
English | 1996 | ISBN: 0883856395 | 188 pages | PDF | 3.1 MB

Boolean Representations of Simplicial Complexes and Matroids (Repost)

Posted By: AvaxGenius
Boolean Representations of Simplicial Complexes and Matroids (Repost)

Boolean Representations of Simplicial Complexes and Matroids by John Rhodes
English | PDF | 2015 | 179 Pages | ISBN : 3319151134 | 2.3 MB

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric and topological features of the theory of matroids find their counterparts in this extended context.

Duality Theories for Boolean Algebras with Operators (Repost)

Posted By: AvaxGenius
Duality Theories for Boolean Algebras with Operators (Repost)

Duality Theories for Boolean Algebras with Operators by Steven Givant
English | PDF | 2014 | 246 Pages | ISBN : 3319067427 | 2.5 MB

In this new text, Steven Givant—the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski—develops three theories of duality for Boolean algebras with operators.

Fuzzy Operator Theory in Mathematical Analysis (Repost)

Posted By: AvaxGenius
Fuzzy Operator Theory in Mathematical Analysis (Repost)

Fuzzy Operator Theory in Mathematical Analysis by Yeol Je Cho
English | EPUB | 2018 | 411 Pages | ISBN : 3319934996 | 23.1 MB

This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy operator theory and fixed point theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean fuzzy metric spaces are presented.

Introduction to Stochastic Calculus (Repost)

Posted By: AvaxGenius
Introduction to Stochastic Calculus (Repost)

Introduction to Stochastic Calculus by Rajeeva L. Karandikar
English | PDF,EPUB | 2018 | 446 Pages | ISBN : 9811083177 | 43.84 MB

This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. The book discusses in-depth topics such as quadratic variation, Ito formula, and Emery topology.

First Concepts of Topology: The Geometry of Mappings of Segments, Curves, Circles, and Disks

Posted By: l3ivo
First Concepts of Topology: The Geometry of Mappings of Segments, Curves, Circles, and Disks

W. G. Chinn, N. E. Steenrod, "First Concepts of Topology: The Geometry of Mappings of Segments, Curves, Circles, and Disks"
English | 1966 | ISBN: 0394015746 | 166 pages | DJVU | 1 MB

Geometric Transformations II

Posted By: l3ivo
Geometric Transformations II

I. M. Yaglom, Allen Shields, "Geometric Transformations II"
English | 1968 | ISBN: 0883856212 | 189 pages | DJVU | 1.77 MB

Geometric Inequalities

Posted By: l3ivo
Geometric Inequalities

Nicholas D. Kazarinoff, "Geometric Inequalities"
English | 1975 | ISBN: 0883856042 | 139 pages | DJVU | 1 MB

Theory of Distributions (Repost)

Posted By: AvaxGenius
Theory of Distributions (Repost)

Theory of Distributions By Svetlin G. Georgiev
English | EPUB | 2015 | 218 Pages | ISBN : 3319195263 | 4 MB

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology.