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Author : Benjamin Peirce
Publisher : BoD – Books on Demand
ISBN 13 : 3385410533
Total Pages : 142 pages
Book Rating : 4.3/5 (854 download)
Download or read book Linear Associative Algebra written by Benjamin Peirce and published by BoD – Books on Demand. This book was released on 2024-04-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1882.
Author : Benjamin Peirce
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.A/5 ( download)
Download or read book Linear Associative Algebra written by Benjamin Peirce and published by . This book was released on 1870 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Byrnie Shaw
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (89 download)
Download or read book Synopsis of Linear Associative Algebra written by James Byrnie Shaw and published by . This book was released on 1907 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Abian
Publisher : Elsevier
ISBN 13 : 1483186792
Total Pages : 175 pages
Book Rating : 4.4/5 (831 download)
Download or read book Linear Associative Algebras written by Alexander Abian and published by Elsevier. This book was released on 2014-05-09 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedderburn structure theorems. The publication first elaborates on semigroups and groups, rings and fields, direct sum and tensor product of rings, and polynomial and matrix rings. The text then ponders on vector spaces, including finite dimensional vector spaces and matrix representation of vectors. The book takes a look at linear associative algebras, as well as the idempotent and nilpotent elements of an algebra, ideals of an algebra, total matrix algebras and the canonical forms of matrices, matrix representation of algebras, and division of algebras. The manuscript also tackles the Wedderburn structure theorems, including direct sum and tensor product decomposition of algebras, nilpotent algebras and the radical of an algebra, and structure of simple and semi-simple algebras. The publication is highly recommended for mathematicians and students interested in the Wedderburn structure theorems and finite dimensional linear associative algebras.
Author : Richard D. Schafer
Publisher : Courier Dover Publications
ISBN 13 : 0486164179
Total Pages : 177 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to Nonassociative Algebras written by Richard D. Schafer and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Susumu Okubo
Publisher : Cambridge University Press
ISBN 13 : 0521472156
Total Pages : 152 pages
Book Rating : 4.5/5 (214 download)
Download or read book Introduction to Octonion and Other Non-Associative Algebras in Physics written by Susumu Okubo and published by Cambridge University Press. This book was released on 1995-08-03 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Abraham Adrian Albert
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870556
Total Pages : 824 pages
Book Rating : 4.8/5 (75 download)
Download or read book Collected Mathematical Papers: Associative algebras and Riemann matrices written by Abraham Adrian Albert and published by American Mathematical Soc.. This book was released on with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.
Author : Abraham Adrian Albert
Publisher : American Mathematical Soc.
ISBN 13 : 0821810243
Total Pages : 224 pages
Book Rating : 4.8/5 (218 download)
Download or read book Structure of Algebras written by Abraham Adrian Albert and published by American Mathematical Soc.. This book was released on 1939-12-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.
Author : Charles W. Curtis
Publisher : American Mathematical Soc.
ISBN 13 : 0821840665
Total Pages : 714 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory of Finite Groups and Associative Algebras written by Charles W. Curtis and published by American Mathematical Soc.. This book was released on 2006 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to various aspects of the representation theory of finite groups. This book covers such topics as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations.
Author : Mercedes Siles Molina
Publisher : Springer Nature
ISBN 13 : 3030352560
Total Pages : 338 pages
Book Rating : 4.0/5 (33 download)
Download or read book Associative and Non-Associative Algebras and Applications written by Mercedes Siles Molina and published by Springer Nature. This book was released on 2020-01-02 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Leonard Eugene Dickson
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (89 download)
Download or read book Linear Algebras written by Leonard Eugene Dickson and published by . This book was released on 1914 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ibrahim Assem
Publisher : Cambridge University Press
ISBN 13 : 9780521584234
Total Pages : 480 pages
Book Rating : 4.5/5 (842 download)
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 1 written by Ibrahim Assem and published by Cambridge University Press. This book was released on 2006-02-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a two-volume set that provides a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. The treatment is self-contained and provides an elementary and up-to-date introduction to the subject using quiver-theoretical techniques and the theory of almost split sequences as well as tilting theory and the use of integral quadratic forms. Much of this material has never appeared before in book form. The book is primarily addressed to graduate students starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the ten chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study. Book jacket.
Author : Kevin McCrimmon
Publisher : Springer Science & Business Media
ISBN 13 : 0387217967
Total Pages : 584 pages
Book Rating : 4.3/5 (872 download)
Download or read book A Taste of Jordan Algebras written by Kevin McCrimmon and published by Springer Science & Business Media. This book was released on 2006-05-29 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.
Author : Charles Sanders Peirce
Publisher : Indiana University Press
ISBN 13 : 9780253372048
Total Pages : 778 pages
Book Rating : 4.3/5 (72 download)
Download or read book Writings of Charles S. Peirce: 1879-1884 written by Charles Sanders Peirce and published by Indiana University Press. This book was released on 1982 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series contains large sections of previously unpublished material in addition to selected published works. Each volume includes a brief historical and biographical introduction, extensive editorial and textual notes, and a full chronological list of all of Peirce's writings, published and unpublished, during the period covered.
Author : Steve Nadis
Publisher : Harvard University Press
ISBN 13 : 0674727894
Total Pages : 272 pages
Book Rating : 4.6/5 (747 download)
Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.
Author : Hongyu Guo
Publisher : World Scientific Publishing Company
ISBN 13 : 9814449350
Total Pages : 523 pages
Book Rating : 4.8/5 (144 download)
Download or read book Modern Mathematics And Applications In Computer Graphics And Vision written by Hongyu Guo and published by World Scientific Publishing Company. This book was released on 2014-04-01 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise exposition of modern mathematical concepts, models and methods with applications in computer graphics, vision and machine learning. The compendium is organized in four parts — Algebra, Geometry, Topology, and Applications. One of the features is a unique treatment of tensor and manifold topics to make them easier for the students. All proofs are omitted to give an emphasis on the exposition of the concepts. Effort is made to help students to build intuition and avoid parrot-like learning.There is minimal inter-chapter dependency. Each chapter can be used as an independent crash course and the reader can start reading from any chapter — almost. This book is intended for upper level undergraduate students, graduate students and researchers in computer graphics, geometric modeling, computer vision, pattern recognition and machine learning. It can be used as a reference book, or a textbook for a selected topics course with the instructor's choice of any of the topics.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.:/5 (321 download)
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1914 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
