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Author : Cristiano Bocci
Publisher : Springer Nature
Page : 252 pages
File Size : 47,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031542633
Author : Gregory G. Smith,Bernd Sturmfels
Publisher : Springer
Page : 390 pages
File Size : 44,6 Mb
Release : 2017-11-17
Category : Mathematics
ISBN : 9781493974863
This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Author : Marlos A. G. Viana
Publisher : American Mathematical Soc.
Page : 358 pages
File Size : 48,9 Mb
Release : 2010
Category : Algebra
ISBN : 9780821848913
A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models. --
Author : Martin Kreuzer,Lorenzo Robbiano
Publisher : Springer Science & Business Media
Page : 592 pages
File Size : 49,8 Mb
Release : 2005-11-04
Category : Mathematics
ISBN : 9783540282969
"The second volume of the authors’ ‘Computational commutative algebra’...covers on its 586 pages a wealth of interesting material with several unexpected applications. ... an encyclopedia on computational commutative algebra, a source for lectures on the subject as well as an inspiration for seminars. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications." --ZENTRALBLATT MATH
Author : Jonathan Block
Publisher : American Mathematical Soc.
Page : 506 pages
File Size : 53,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821872956
The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the string-theoretic interface between the two academic fields. The String-Math conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface. This volume contains the proceedings of the inaugural conference in this series, String-Math 2011, which was held June 6-11, 2011, at the University of Pennsylvania.
Author : Anonim
Publisher : Unknown
Page : 804 pages
File Size : 45,5 Mb
Release : 2005
Category : Dissertations, Academic
ISBN : STANFORD:36105121649201
Author : Cristiano Bocci,Luca Chiantini
Publisher : Springer Nature
Page : 235 pages
File Size : 45,7 Mb
Release : 2019-09-11
Category : Mathematics
ISBN : 9783030246242
This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master’s and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics. The focus is on the background needed to explore the connections among discrete random variables. The main objects that encode these relations are multilinear matrices, i.e., tensors. The book aims to settle the basis of the correspondence between properties of tensors and their translation in Algebraic Geometry. It is divided into three parts, on Algebraic Statistics, Multilinear Algebra, and Algebraic Geometry. The primary purpose is to describe a bridge between the three theories, so that results and problems in one theory find a natural translation to the others. This task requires, from the statistical point of view, a rather unusual, but algebraically natural, presentation of random variables and their main classical features. The third part of the book can be considered as a short, almost self-contained, introduction to the basic concepts of algebraic varieties, which are part of the fundamental background for all who work in Algebraic Statistics.
Author : American Mathematical Society
Publisher : Unknown
Page : 272 pages
File Size : 43,8 Mb
Release : 2003
Category : Mathematics
ISBN : CHI:62427478
Author : Enrico Bombieri,Walter Gubler
Publisher : Cambridge University Press
Page : 676 pages
File Size : 50,5 Mb
Release : 2006
Category : Mathematics
ISBN : 0521712297
This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.
Author : Bart De Bruyn
Publisher : Birkhäuser
Page : 372 pages
File Size : 41,5 Mb
Release : 2016-11-09
Category : Mathematics
ISBN : 9783319438115
This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs. This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry.
Author : American Mathematical Society
Publisher : Unknown
Page : 654 pages
File Size : 49,9 Mb
Release : 1978
Category : Electronic journals
ISBN : UCAL:B3530688
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author : Peter B. Borwein
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 51,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9780387721255
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.
Author : François Digne,Jean Michel
Publisher : Cambridge University Press
Page : 172 pages
File Size : 53,6 Mb
Release : 1991-04-26
Category : Mathematics
ISBN : 052140648X
The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.
Author : Peter Crooks,Alexandru I. Suciu
Publisher : American Mathematical Society
Page : 168 pages
File Size : 50,5 Mb
Release : 2023-09-25
Category : Mathematics
ISBN : 9781470469924
This volume contains the proceedings of the Conference on Compactifications, Configurations, and Cohomology, held from October 22–24, 2021, at Northeastern University, Boston, MA. Some of the most active and fruitful mathematical research occurs at the interface of algebraic geometry, representation theory, and topology. Noteworthy examples include the study of compactifications in three specific settings—algebraic group actions, configuration spaces, and hyperplane arrangements. These three types of compactifications enjoy common structural features, including relations to root systems, combinatorial descriptions of cohomology rings, the appearance of iterated blow-ups, the geometry of normal crossing divisors, and connections to mirror symmetry in physics. On the other hand, these compactifications are often studied independently of one another. The articles focus on new and existing connections between the aforementioned three types of compactifications, thereby setting the stage for further research. It draws on the discipline-specific expertise of all contributors, and at the same time gives a unified, self-contained reference for compactifications and related constructions in different contexts.
Author : Grigoriy Blekherman,Pablo A. Parrilo,Rekha R. Thomas
Publisher : SIAM
Page : 487 pages
File Size : 46,5 Mb
Release : 2013-03-21
Category : Mathematics
ISBN : 9781611972283
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
