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Mathematics for Social Sciences and Arts: Algebraic Modeling

Posted By: AvaxGenius
Mathematics for Social Sciences and Arts: Algebraic Modeling

Mathematics for Social Sciences and Arts: Algebraic Modeling by Mahouton Norbert Hounkonnou, Dragana Martinovic, Melanija Mitrović, Philippa Pattison
English | PDF EPUB (True) | 2024 | 287 Pages | ISBN : 3031377915 | 21.3 MB

This book addresses interconnections between contemporary advances in mathematics, especially algebra, with applications in the social sciences and the arts. It promotes the idea that knowledge cannot remain in disciplinary silos, rather, it belongs to all people, and is dedicated to associative relationships in a variety of mathematics applications, from sociology to linguistics, including anthropology, semiotics, education, and cognitive science. Contributions illuminate some of the ways in which algebra is developed, learned, understood, communicated, and applied in the social sciences and the humanities.

Semigroups, Algebras and Operator Theory

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Semigroups, Algebras and Operator Theory

Semigroups, Algebras and Operator Theory: ICSAOT 2022, CUSAT, India, March 28–31 by A. A. Ambily, V. B. Kiran Kumar
English | PDF EPUB (True) | 2024 | 274 Pages | ISBN : 9819963486 | 33.6 MB

This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28–31 March 2022. It highlights the significance of semigroup theory in different areas of mathematics and delves into various themes that demonstrate the subject’s diverse nature and practical applications. One of the key features of the book is its focus on the relationship between geometric algebra and quantum mechanics. The book offers both theoretical and numerical approximation results, presenting a comprehensive overview of the subject. It covers a variety of topics, ranging from C∗-algebraic models to numerical solutions for partial differential equations.

International Symposium on Ring Theory

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International Symposium on Ring Theory

International Symposium on Ring Theory by ary F. Birkenmeier, Jae Keol Park, Young Soo Park
English | PDF | 2001 | 449 Pages | ISBN : 0817641580 | 36.9 MB

This volume is the Proceedings of the Third Korea-China-Japan Inter­ national Symposium on Ring Theory held jointly with the Second Korea­ Japan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference is held every 4 years on a rotating basis. The first con­ ference was held in 1991 at Guilin, China. In 1995 the second conference took place in Okayama, Japan. At the second conference it was decided to include Korea, who hosted this conference of 1999. During the past century Ring Theory has diversified into many subar­ eas. This is reflected in these articles from over 25 well-known mathemati­ cians covering a broad range of topics, including: Classical Ring Theory, Module Theory, Representation Theory, and the theory of Hopf Algebras. Among these peer reviewed papers are invited survey articles as well as research articles. The survey articles provide an overview of various areas for researchers looking for a new or related field to investigate, while the research articles give the flavor of current research. We feel that the variety of related topics will stimulate interaction between researchers. Moreover the Open Problems section provides guidance for future research. This book should prove attractive to a wide audience of algebraists. Gary F. Birkenmeier, Lafayette, U. S. A.

Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal conferences

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Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal conferences

Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal conferences by Oleg Bogopolski, Inna Bumagin, Olga Kharlampovich, Enric Ventura
English | PDF (True) | 2010 | 318 Pages | ISBN : 3764399104 | 2.6 MB

We are pleased to present the book “Geometric Group Theory, Dortmund and Carleton Conferences”, a selection of the best research articles from two strongly related 2007 international conferences:

Quantum Theories and Geometry

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Quantum Theories and Geometry

Quantum Theories and Geometry by M. Cahen, M. Flato
English | PDF | 1988 | 196 Pages | ISBN : 9027728038 | 12.1 MB

This book presents the text of most of the lectures which were de­ livered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathemati­ cians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It 1S the strong belief of the organizers that these written con­ tributions will be a useful document for research people workin~ 1n geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space.

Lie Groups (Repost)

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Lie Groups (Repost)

Lie Groups by J. J. Duistermaat , J. A. C. Kolk
English | PDF | 2000 | 352 Pages | ISBN : 3540152938 | 32.1 MB

This book is devoted to an exposition of the theory of finite-dimensional Lie groups and Lie algebras, which is a beautiful and central topic in modern mathematics. At the end of the nineteenth century this theory came to life in the works of Sophus Lie. It had its origins in Lie's idea of applying Galois theory to differential equations and in Klein's "Erlanger Programm" of treat­ ing symmetry groups as the fundamental objects in geometry. Lie's approach to many problems of analysis and geometry was mainly local, that is, valid in local coordinate systems only. At the beginning of the twentieth century E. Cartan and Weyl began a systematic treatment of the global aspects of Lie's theory. Since then this theory has ramified tremendously and now, as the twentieth century is coming to a close, its concepts and methods pervade mathematics and theoretical physics.

Lie Theory: Lie Algebras and Representations

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Lie Theory: Lie Algebras and Representations

Lie Theory: Lie Algebras and Representations by Jens Carsten Jantzen , Karl-Hermann Neeb
English | PDF | 2004 | 341 Pages | ISBN : 0817633731 | 27.7 MB

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.

Lie Groups

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Lie Groups

Lie Groups by Daniel Bump
English | PDF | 2004 | 462 Pages | ISBN : 1441919376 | 41 MB

This book aims to be a course in Lie groups that can be covered in one year with a group of good graduate students. I have attempted to address a problem that anyone teaching this subject must have, which is that the amount of essential material is too much to cover. One approach to this problem is to emphasize the beautiful representation theory of compact groups, and indeed this book can be used for a course of this type if after Chapter 25 one skips ahead to Part III. But I did not want to omit important topics such as the Bruhat decomposition and the theory of symmetric spaces. For these subjects, compact groups are not sufficient. Part I covers standard general properties of representations of compact groups (including Lie groups and other compact groups, such as finite or p­ adic ones). These include Schur orthogonality, properties of matrix coefficients and the Peter-Weyl Theorem.

Dynamics of Foliations, Groups and Pseudogroups

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Dynamics of Foliations, Groups and Pseudogroups

Dynamics of Foliations, Groups and Pseudogroups by Paweł Walczak
English | PDF (True) | 2004 | 236 Pages | ISBN : 3764370912 | 20.3 MB

Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy. In the 1980s they became considered as general dynamical systems. This book deals with their dynamics. Since "dynamics” is a very extensive term, we focus on some of its aspects only. Roughly speaking, we concentrate on notions and results related to different ways of measuring complexity of the systems under consideration. More precisely, we deal with different types of growth, entropies and dimensions of limiting objects. Invented in the 1980s (by E. Ghys, R. Langevin and the author) geometric entropy of a foliation is the principal object of interest among all of them.

A Gentle Introduction to Group Theory

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A Gentle Introduction to Group Theory

A Gentle Introduction to Group Theory by Bana Al Subaiei , Muneerah Al Nuwairan
English | EPUB (True) | 2023 | 429 Pages | ISBN : 9819901464 | 72.3 MB

The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics.

A Gentle Introduction to Group Theory

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A Gentle Introduction to Group Theory

A Gentle Introduction to Group Theory by Bana Al Subaiei , Muneerah Al Nuwairan
English | PDF (True) | 2023 | 429 Pages | ISBN : 9819901464 | 14.3 MB

The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics.

Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality

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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality

Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality by Gunther Cornelissen , Norbert Peyerimhoff
English | PDF EPUB (True) | 2023 | 120 Pages | ISBN : 3031277031 | 7.6 MB

The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric (coverings).

An Introduction to Enumeration

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An Introduction to Enumeration

An Introduction to Enumeration by Alan Camina , Barry Lewis
English | PDF (True) | 2011 | 239 Pages | ISBN : 0857295993 | 3.2 MB

Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools.

Algebra II: Noncommutative Rings Identities

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Algebra II: Noncommutative Rings Identities

Algebra II: Noncommutative Rings Identities by A. I. Kostrikin, I. R. Shafarevich
English | PDF | 1991 | 241 Pages | ISBN : 3642729010 | 41.3 MB

The algebra of square matrices of size n ~ 2 over the field of complex numbers is, evidently, the best-known example of a non-commutative alge­ 1 bra • Subalgebras and subrings of this algebra (for example, the ring of n x n matrices with integral entries) arise naturally in many areas of mathemat­ ics. Historically however, the study of matrix algebras was preceded by the discovery of quatemions which, introduced in 1843 by Hamilton, found ap­ plications in the classical mechanics of the past century. Later it turned out that quaternion analysis had important applications in field theory. The al­ gebra of quaternions has become one of the classical mathematical objects; it is used, for instance, in algebra, geometry and topology.

Commutative Semigroups (Repost)

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Commutative Semigroups (Repost)

Commutative Semigroups by P. A. Grillet
English | PDF | 2001 | 443 Pages | ISBN : 0792370678 | 37.3 MB

The first book on commutative semigroups was Redei's The theory of .finitely generated commutative semigroups, published in Budapest in 1956. Subsequent years have brought much progress. By 1975 the structure of finite commutative semigroups was fairly well understood. Recent results have perfected this understanding and extended it to finitely generated semigroups.