Threading Homology Through Algebra PDF Download
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Author | : G. Boffi |
Publisher | : Oxford University Press |
Total Pages | : 268 |
Release | : 2006-06-29 |
Genre | : Mathematics |
ISBN | : 0198524994 |
Download Threading Homology Through Algebra Book in PDF, ePub and Kindle
Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them.
Author | : Graham J. Leuschke |
Publisher | : American Mathematical Soc. |
Total Pages | : 294 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 1470435764 |
Download Representations of Algebras Book in PDF, ePub and Kindle
Contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held in August 2016, at Syracuse University. This volume includes three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories.
Author | : Sylvie Benzoni-Gavage |
Publisher | : Oxford University Press, USA |
Total Pages | : 535 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 019921123X |
Download Multi-dimensional Hyperbolic Partial Differential Equations Book in PDF, ePub and Kindle
Authored by leading scholars, this comprehensive text presents a view of the multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. It is useful to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.
Author | : Irena Peeva |
Publisher | : Springer Science & Business Media |
Total Pages | : 705 |
Release | : 2013-02-01 |
Genre | : Mathematics |
ISBN | : 1461452929 |
Download Commutative Algebra Book in PDF, ePub and Kindle
This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
Author | : James W. Vick |
Publisher | : Springer Science & Business Media |
Total Pages | : 258 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461208815 |
Download Homology Theory Book in PDF, ePub and Kindle
This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.
Author | : Józef Ignaczak |
Publisher | : Oxford University Press |
Total Pages | : 432 |
Release | : 2010 |
Genre | : Language Arts & Disciplines |
ISBN | : 0199541647 |
Download Thermoelasticity with Finite Wave Speeds Book in PDF, ePub and Kindle
A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.
Author | : Yvonne Choquet-Bruhat |
Publisher | : Oxford University Press |
Total Pages | : 812 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0199230722 |
Download General Relativity and the Einstein Equations Book in PDF, ePub and Kindle
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
Author | : S. K. Jain |
Publisher | : Oxford University Press |
Total Pages | : |
Release | : 2012-09-27 |
Genre | : Mathematics |
ISBN | : 0191641545 |
Download Cyclic Modules and the Structure of Rings Book in PDF, ePub and Kindle
This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property. The finiteness conditions and homological properties are closely interrelated in the sense that either hypothesis induces the other in some form. This is the first book to bring all of this important material on the subject together. Over the last 25 years or more numerous mathematicians have investigated rings whose factor rings or factor modules have a finiteness condition or a homological property. They made important contributions leading to new directions and questions, which are listed at the end of each chapter for the benefit of future researchers. There is a wealth of material on the topic which is combined in this book, it contains more than 200 references and is not claimed to be exhaustive. This book will appeal to graduate students, researchers, and professionals in algebra with a knowledge of basic noncommutative ring theory, as well as module theory and homological algebra, equivalent to a one-year graduate course in the theory of rings and modules.
Author | : David Eric Edmunds |
Publisher | : Oxford University Press |
Total Pages | : 610 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 0198812051 |
Download Spectral Theory and Differential Operators Book in PDF, ePub and Kindle
This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.
Author | : Hans Ringström |
Publisher | : OUP Oxford |
Total Pages | : 733 |
Release | : 2013-05-23 |
Genre | : Mathematics |
ISBN | : 0191669776 |
Download On the Topology and Future Stability of the Universe Book in PDF, ePub and Kindle
The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic. After imposing this assumption, the only freedom left, as far as the geometry is concerned, is the choice of one out of three permissible spatial geometries, and one scalar function of time. Combining the cosmological principle with an appropriate description of the matter leads to the standard models. It is worth noting that these models yield quite a successful description of our universe. However, even though the universe may, or may not, be almost spatially homogeneous and isotropic, it is clear that the cosmological principle is not exactly satisfied. This leads to several questions. The most natural one concerns stability: given initial data corresponding to an expanding model of the standard type, do small perturbations give rise to solutions that are similar to the future? Another question concerns the shape of the universe: what are the restrictions if we only assume the universe to appear almost spatially homogeneous and isotropic to every observer? The main purpose of the book is to address these questions. However, to begin with, it is necessary to develop the general theory of the Cauchy problem for the Einstein-Vlasov equations. In order to to make the results accessible to researchers who are not mathematicians, but who are familiar with general relativity, the book contains an extensive prologue putting the results into a more general context.