Clifford Algebras And Zeons
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Author |
: George Stacey Staples |
Publisher |
: World Scientific |
Total Pages |
: 378 |
Release |
: 2019-09-24 |
ISBN-10 |
: 9789811202599 |
ISBN-13 |
: 9811202591 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond by : George Stacey Staples
Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential applications in an increasingly technological world.As a graduate-level or advanced undergraduate-level mathematics textbook, it is suitable for self-study by researchers interested in new approaches to existing combinatorial problems and applications (wireless networks, Boolean satisfiability, coding theory, etc.).As the first textbook to explore algebraic and combinatorial properties of zeon algebras in depth, it is suitable for interdisciplinary study in analysis, algebra, and combinatorics. The material is complemented by the CliffMath software package for Mathematica, which is freely available through the book's webpage.
Author |
: George Stacey Staples |
Publisher |
: World Scientific |
Total Pages |
: 428 |
Release |
: 2012-02-23 |
ISBN-10 |
: 9781908977571 |
ISBN-13 |
: 1908977574 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Operator Calculus On Graphs: Theory And Applications In Computer Science by : George Stacey Staples
This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.
Author |
: G. Stacey Staples |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 0 |
Release |
: 2019 |
ISBN-10 |
: 9811202575 |
ISBN-13 |
: 9789811202575 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Clifford Algebras and Zeons by : G. Stacey Staples
"Where the previous book focused on a wide array of topics and applications, this book is constructed as a textbook, with exercises and solutions. It includes an introduction to Clifford (geometric) algebras, before constructing zeon algebras as Clifford subalgebras"--
Author |
: Ramón González Calvet |
Publisher |
: Treatise of Plane Geometry |
Total Pages |
: 43 |
Release |
: 2007 |
ISBN-10 |
: 9788461191499 |
ISBN-13 |
: 8461191498 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Treatise of Plane Geometry Through Geometric Algebra by : Ramón González Calvet
Author |
: Bijan Davvaz |
Publisher |
: World Scientific |
Total Pages |
: 209 |
Release |
: 2013 |
ISBN-10 |
: 9789814425308 |
ISBN-13 |
: 9814425303 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Polygroup Theory and Related Systems by : Bijan Davvaz
This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.
Author |
: Zhe-Xian Wan |
Publisher |
: World Scientific |
Total Pages |
: 360 |
Release |
: 2003 |
ISBN-10 |
: 9812385703 |
ISBN-13 |
: 9789812385703 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Lectures on Finite Fields and Galois Rings by : Zhe-Xian Wan
This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.
Author |
: Huanyin Chen |
Publisher |
: World Scientific |
Total Pages |
: 680 |
Release |
: 2011 |
ISBN-10 |
: 9789814329712 |
ISBN-13 |
: 9814329711 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Rings Related to Stable Range Conditions by : Huanyin Chen
This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories.
Author |
: Hossein Abbaspour |
Publisher |
: World Scientific |
Total Pages |
: 444 |
Release |
: 2007 |
ISBN-10 |
: 9789812706980 |
ISBN-13 |
: 9812706984 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Basic Lie Theory by : Hossein Abbaspour
This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other courses: a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or in lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the subject: Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.
Author |
: Richard R. Lindsey |
Publisher |
: John Wiley & Sons |
Total Pages |
: 406 |
Release |
: 2011-01-11 |
ISBN-10 |
: 9781118044759 |
ISBN-13 |
: 1118044754 |
Rating |
: 4/5 (59 Downloads) |
Synopsis How I Became a Quant by : Richard R. Lindsey
Praise for How I Became a Quant "Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching!" --Ira Kawaller, Kawaller & Co. and the Kawaller Fund "A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions." --David A. Krell, President and CEO, International Securities Exchange "How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis." --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management "Quants"--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution.
Author |
: David William Honorio Araujo Da Silva |
Publisher |
: Springer Nature |
Total Pages |
: 263 |
Release |
: |
ISBN-10 |
: 9783031559853 |
ISBN-13 |
: 3031559851 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Advanced Computational Applications of Geometric Algebra by : David William Honorio Araujo Da Silva