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Diagrammatic Morphisms And Applications
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Book Synopsis Diagrammatic Morphisms and Applications by : David E. Radford
Download or read book Diagrammatic Morphisms and Applications written by David E. Radford and published by American Mathematical Soc.. This book was released on 2003 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The technique of diagrammatic morphisms is an important ingredient in comprehending and visualizing certain types of categories with structure. It was widely used in this capacity in many areas of algebra, low-dimensional topology and physics. It was also applied to problems in classical and quantum information processing and logic. This volume contains articles based on talks at the Special Session, ``Diagrammatic Morphisms in Algebra, Category Theory, and Topology'', at the AMS Sectional Meeting in San Francisco. The articles describe recent achievements in several aspects of diagrammatic morphisms and their applications. Some of them contain detailed expositions on various diagrammatic techniques. The introductory article by D. Yetter is a thorough account of the subject in a historical perspective.
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Application of Diagrams by : Michael Anderson
Download or read book Theory and Application of Diagrams written by Michael Anderson and published by Springer. This book was released on 2003-07-31 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diagrams 2000 is dedicated to the memory of Jon Barwise. Diagrams 2000 was the ?rst event in a new interdisciplinary conference series on the Theory and Application of Diagrams. It was held at the University of Edinburgh, Scotland, September 1-3, 2000. Driven by the pervasiveness of diagrams in human communication and by the increasing availability of graphical environments in computerized work, the study of diagrammatic notations is emerging as a research ?eld in its own right. This development has simultaneously taken place in several scienti?c disciplines, including, amongst others: cognitive science, arti?cial intelligence, and computer science. Consequently, a number of di?erent workshop series on this topic have been successfully organized during the last few years: Thinking with Diagrams, Theory of Visual Languages, Reasoning with Diagrammatic Representations, and Formalizing Reasoning with Visual and Diagrammatic Representations. Diagrams are simultaneously complex cognitive phenonema and sophis- cated computational artifacts. So, to be successful and relevant the study of diagrams must as a whole be interdisciplinary in nature. Thus, the workshop series mentioned above decided to merge into Diagrams 2000, as the single - terdisciplinary conference for this exciting new ?eld. It is intended that Diagrams 2000 should become the premier international conference series in this area and provide a forum with su?cient breadth of scope to encompass researchers from all academic areas who are studying the nature of diagrammatic representations and their use by humans and in machines.
Book Synopsis Diagrams and Gestures by : Francesco La Mantia
Download or read book Diagrams and Gestures written by Francesco La Mantia and published by Springer Nature. This book was released on 2023-09-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.
Book Synopsis Hopf Algebras, Tensor Categories and Related Topics by : Nicolás Andruskiewitsch
Download or read book Hopf Algebras, Tensor Categories and Related Topics written by Nicolás Andruskiewitsch and published by American Mathematical Soc.. This book was released on 2021-07-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras. Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.
Book Synopsis An Invitation to Knot Theory by : Heather A. Dye
Download or read book An Invitation to Knot Theory written by Heather A. Dye and published by CRC Press. This book was released on 2018-09-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra. The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.
Book Synopsis Towards Higher Categories by : John C. Baez
Download or read book Towards Higher Categories written by John C. Baez and published by Springer Science & Business Media. This book was released on 2009-09-24 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.
Author :International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002 Publisher :American Mathematical Soc. ISBN 13 :082183441X Total Pages :350 pages Book Rating :4.8/5 (218 download)
Book Synopsis Algebraic and Arithmetic Theory of Quadratic Forms by : International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002
Download or read book Algebraic and Arithmetic Theory of Quadratic Forms written by International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002 and published by American Mathematical Soc.. This book was released on 2004 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile). The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This volume contains survey and research articles covering the range of connections among these topics.
Book Synopsis Spectral Theory of Schrodinger Operators by : Rafael del Río
Download or read book Spectral Theory of Schrodinger Operators written by Rafael del Río and published by American Mathematical Soc.. This book was released on 2004 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a non-specialized audience the basic tools needed to understand and appreciate new trends of research on Schrodinger operator theory. Topics discussed include various aspects of the spectral theory of differential operators, the theory of self-adjoint operators, finite rank perturbations, spectral properties of random Schrodinger operators, and scattering theory for Schrodinger operators. The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrodinger operators.
Book Synopsis Towards a Theory of Geometric Graphs by : János Pach
Download or read book Towards a Theory of Geometric Graphs written by János Pach and published by American Mathematical Soc.. This book was released on 2004 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The early development of graph theory was heavily motivated and influenced by topological and geometric themes, such as the Konigsberg Bridge Problem, Euler's Polyhedral Formula, or Kuratowski's characterization of planar graphs. In 1936, when Denes Konig published his classical ""Theory of Finite and Infinite Graphs"", the first book ever written on the subject, he stressed this connection by adding the subtitle Combinatorial Topology of Systems of Segments. He wanted to emphasize that the subject of his investigations was very concrete: planar figures consisting of points connected by straight-line segments. However, in the second half of the twentieth century, graph theoretical research took an interesting turn. In the most popular and most rapidly growing areas (the theory of random graphs, Ramsey theory, extremal graph theory, algebraic graph theory, etc.), graphs were considered as abstract binary relations rather than geometric objects.Many of the powerful techniques developed in these fields have been successfully applied in other areas of mathematics. However, the same methods were often incapable of providing satisfactory answers to questions arising in geometric applications. In the spirit of Konig, geometric graph theory focuses on combinatorial and geometric properties of graphs drawn in the plane by straight-line edges (or more generally, by edges represented by simple Jordan arcs). It is an emerging discipline that abounds in open problems, but it has already yielded some striking results which have proved instrumental in the solution of several basic problems in combinatorial and computational geometry. The present volume is a careful selection of 25 invited and thoroughly refereed papers, reporting about important recent discoveries on the way Towards a Theory of Geometric Graphs.
Book Synopsis Recent Developments in Integrable Systems and Riemann-Hilbert Problems by : Kenneth T-R McLaughlin
Download or read book Recent Developments in Integrable Systems and Riemann-Hilbert Problems written by Kenneth T-R McLaughlin and published by American Mathematical Soc.. This book was released on 2003 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers presented at a special session on integrable systems and Riemann-Hilbert problems. The goal of the meeting was to foster new research by bringing together experts from different areas. Their contributions to the volume provide a useful portrait of the breadth and depth of integrable systems. Topics covered include discrete Painleve equations, integrable nonlinear partial differential equations, random matrix theory, Bose-Einstein condensation, spectral and inverse spectral theory, and last passage percolation models. In most of these articles, the Riemann-Hilbert problem approach plays a central role, which is powerful both analytically and algebraically. The book is intended for graduate students and researchers interested in integrable systems and its applications.
Book Synopsis Recent Advances in Riemannian and Lorentzian Geometries by : Krishan L. Duggal
Download or read book Recent Advances in Riemannian and Lorentzian Geometries written by Krishan L. Duggal and published by American Mathematical Soc.. This book was released on 2003 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers material presented by invited speakers at the AMS special session on Riemannian and Lorentzian geometries held at the annual Joint Mathematics Meetings in Baltimore. Topics covered include classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability singularity and hyperbolic operators of spacetimes, spectral geometry of holomorphic manifolds, cut loci of nilpotent Lie groups, conformal geometry of almost Hermitian manifolds, and also submanifolds of complex and contact spaces. This volume can serve as a good reference source and provide indications for further research. It is suitable for graduate students and research mathematicians interested in differential geometry.
Download or read book Graph Colorings written by Marek Kubale and published by American Mathematical Soc.. This book was released on 2004 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph coloring is one of the oldest and best-known problems of graph theory. As people grew accustomed to applying the tools of graph theory to the solutions of real-world technological and organizational problems, new chromatic models emerged as a natural way of tackling many practical situations. Statistics show that graph coloring is one of the central issues in the collection of several hundred classical combinatorial problems. This book is devoted to problems in graph coloring,which can be viewed as one area of discrete optimization. Chapters are dedicated to various models and are largely independent of one another. In each chapter, the author highlights algorithmic aspects of the presented models, i.e., the construction of polynomial-time algorithms for graph coloring.This is an expanded and updated translation of the prizewinning book originally published in Polish, Optymalizacja dyskretna. Modele i metody kolorowania grafow. It is suitable for graduate students and researchers interested in graph theory.
Book Synopsis Mathematics of Finance by : AMS-IMS-SIAM JOINT SUMMER RESEARCH CONFE
Download or read book Mathematics of Finance written by AMS-IMS-SIAM JOINT SUMMER RESEARCH CONFE and published by American Mathematical Soc.. This book was released on 2004 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics of finance involves a wide spectrum of techniques that go beyond traditional applied mathematics. The field has witnessed a tremendous amount of progress in recent years, which has inspired communication and networking among researchers in finance, economics, engineering, and industry. This volume contains papers based on the talks given at the first AMS-IMS-SIAM joint research conference on financial mathematics. Topics covered include modeling, estimation, optimization, control, risk assessment and management, contingent claim pricing, dynamic hedging, and financial derivative design.
Book Synopsis Waves in Periodic and Random Media by : Peter Kuchment
Download or read book Waves in Periodic and Random Media written by Peter Kuchment and published by American Mathematical Soc.. This book was released on 2003 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure. This book contains the proceedings of the research conference, ``Waves in Periodic and Random Media''. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.
Book Synopsis Nonstandard Models of Arithmetic and Set Theory by : Ali Enayat
Download or read book Nonstandard Models of Arithmetic and Set Theory written by Ali Enayat and published by American Mathematical Soc.. This book was released on 2004 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.
Book Synopsis Operator Algebras, Quantization, and Noncommutative Geometry by : Marshall Harvey Stone
Download or read book Operator Algebras, Quantization, and Noncommutative Geometry written by Marshall Harvey Stone and published by American Mathematical Soc.. This book was released on 2004 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone.Papers range from expository and historical surveys to original research articles. All articles were carefully refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among others, are articles by George W. Mackey, Nigel Higson, and Marc Rieffel. Also featured is a reprint of P.R. Halmos' ""The Legend of John von Neumann"". The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.
