Non Associative Linear Algebras

Non Associative Linear Algebras PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731762
Category : Mathematics
Languages : en
Pages : 233

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Non Associative Linear Algebras

Non Associative Linear Algebras PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731762
Category : Mathematics
Languages : en
Pages : 233

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Book Description


An Introduction to Nonassociative Algebras

An Introduction to Nonassociative Algebras PDF Author: Richard D. Schafer
Publisher: Courier Dover Publications
ISBN: 0486164179
Category : Mathematics
Languages : en
Pages : 176

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Book Description
Concise graduate-level introductory study presents some of the important ideas and results in the theory of nonassociative algebras. Places particular emphasis on alternative and (commutative) Jordan algebras. 1966 edition.

Non-Associative Algebra and Its Applications

Non-Associative Algebra and Its Applications PDF Author: Lev Sabinin
Publisher: CRC Press
ISBN: 1420003453
Category : Mathematics
Languages : en
Pages : 553

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Book Description
With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.

Introduction to Octonion and Other Non-Associative Algebras in Physics

Introduction to Octonion and Other Non-Associative Algebras in Physics PDF Author: Susumu Okubo
Publisher: Cambridge University Press
ISBN: 0521472156
Category : Mathematics
Languages : en
Pages : 152

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Book Description
In this book, the author aims to familiarize researchers and graduate students in both physics and mathematics with the application of non-associative algebras in physics.Topics covered by the author range from algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and YangSHBaxter equations. The author also covers non-associative gauge theoretic reformulation of Einstein's general relativity theory and so on. Much of the material found in this book is not available in other standard works.

An Introduction to Nonassociative Algebras

An Introduction to Nonassociative Algebras PDF Author: Richard Donald Schafer
Publisher: Courier Corporation
ISBN: 0486688135
Category : Mathematics
Languages : en
Pages : 177

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Book Description
"An important addition to the mathematical literature … contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly." — Bulletin of the American Mathematical Society This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment's prerequisites include an acquaintance with the fundamentals of abstract and linear algebra. After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.

Associative and Non-Associative Algebras and Applications

Associative and Non-Associative Algebras and Applications PDF Author: Mercedes Siles Molina
Publisher: Springer Nature
ISBN: 3030352560
Category : Mathematics
Languages : en
Pages : 338

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Book Description
This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.

Algebra and Applications 1

Algebra and Applications 1 PDF Author: Abdenacer Makhlouf
Publisher: John Wiley & Sons
ISBN: 111981815X
Category : Mathematics
Languages : en
Pages : 368

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Book Description
This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.

New Perspectives in Algebra, Topology and Categories

New Perspectives in Algebra, Topology and Categories PDF Author: Maria Manuel Clementino
Publisher: Springer Nature
ISBN: 303084319X
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.

Linear Algebras

Linear Algebras PDF Author: Leonard Eugene Dickson
Publisher:
ISBN:
Category : Algebra, Universal
Languages : en
Pages : 90

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Book Description


Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra PDF Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.