Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Clifford Algebras And Zeons Geometry To Combinatorics And Beyond
Download Clifford Algebras And Zeons Geometry To Combinatorics And Beyond full books in PDF, epub, and Kindle. Read online Clifford Algebras And Zeons Geometry To Combinatorics And Beyond ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond by : George Stacey Staples
Download or read book Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond written by George Stacey Staples and published by World Scientific. This book was released on 2019-09-24 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Analysis and Geometry by : Tao Qian
Download or read book Advances in Analysis and Geometry written by Tao Qian and published by Birkhäuser. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
Book Synopsis Clifford Algebra in Mathematics and Physics by : Stefano Spezia
Download or read book Clifford Algebra in Mathematics and Physics written by Stefano Spezia and published by Arcler Press. This book was released on 2017-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Clifford or geometric algebra (GA) is an algebra generated by a vector space with a bilinear form with some special properties. GA is more efficient than the matrix algebra because of the fact that the components of geometric algebra can be expressed without introducing any arbitrary basis and turned out to be a superior mathematical tool which provides a common mathematical language that aids a unified approach and understanding in topics across mathematics, physics and engineering. For example, complex variables, vectors, quaternions, matrix theory, differential forms, tensor calculus, spinors and twistors, are all subsumed under a common approach.The book begins with a brief historical introduction, followed by a description of the mathematical formalism of Clifford algebra. In particular, definitions, axiom and examples applied to two-dimensional and three-dimensional spaces have been presented. Section 1 gives an overview of the application of GA in Physics, focusing on geometric algebra pictures of both the plane wave solution of the Maxwell equation and special relativity, a toy model of SU(3) symmetry, and some preliminary thoughts about a possible geometric meaning of quantum mechanics. In particular, it is cleared that the internal spin structure of the particle is hidden in both Schrödinger and Dirac equations showing that the classical mechanics combined with zero-point field leads to quantum mechanics. Section 2 discusses the problem of quantization in quantum theory, a natural algebraic alternative definition of time, a coordinate-free formulation of General Relativity, a more unified and systematic description of flux compactifications and of supergravity and string compactifications in general. Finally, the last Section 3 begins with the study of the association of a quaternion algebra to the set of generalized Fibonacci quaternions by using the construction of Clifford algebras and concludes with the study of an important branch of modern analysis: The Clifford analysis.
Book Synopsis Clifford Algebras with Numeric and Symbolic Computations by : Rafal Ablamowicz
Download or read book Clifford Algebras with Numeric and Symbolic Computations written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.
Book Synopsis Clifford Algebras and their Applications in Mathematical Physics by : John Ryan
Download or read book Clifford Algebras and their Applications in Mathematical Physics written by John Ryan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Clifford Algebras and the Classical Groups by : Ian R. Porteous
Download or read book Clifford Algebras and the Classical Groups written by Ian R. Porteous and published by Cambridge University Press. This book was released on 1995-10-05 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G(subscript 2), and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course.
Book Synopsis Lectures on Clifford (geometric) Algebras and Applications by : Rafał Abłamowicz
Download or read book Lectures on Clifford (geometric) Algebras and Applications written by Rafał Abłamowicz and published by Birkhauser. This book was released on 2004 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Clifford Algebras with Numeric and Symbolic Computations by : Rafal Ablamowicz
Download or read book Clifford Algebras with Numeric and Symbolic Computations written by Rafal Ablamowicz and published by Birkhäuser. This book was released on 2012-10-18 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.
Book Synopsis Lectures in Geometric Combinatorics by : Rekha R. Thomas
Download or read book Lectures in Geometric Combinatorics written by Rekha R. Thomas and published by American Mathematical Soc.. This book was released on 2006 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the statepolytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Grobner bases of toric ideals and other methods fromcommutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.
Book Synopsis Clifford Algebras and Dirac Operators in Harmonic Analysis by : J. Gilbert
Download or read book Clifford Algebras and Dirac Operators in Harmonic Analysis written by J. Gilbert and published by Cambridge University Press. This book was released on 1991-07-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show how algebra, geometry, and differential equations play a more fundamental role in Euclidean Fourier analysis. They then link their presentation of the Euclidean theory naturally to the representation theory of semi-simple Lie groups.
Book Synopsis Clifford Algebra to Geometric Calculus by : David Hestenes
Download or read book Clifford Algebra to Geometric Calculus written by David Hestenes and published by . This book was released on 1984 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Operator Calculus On Graphs: Theory And Applications In Computer Science by : Staples George Stacey
Download or read book Operator Calculus On Graphs: Theory And Applications In Computer Science written by Staples George Stacey and published by World Scientific. This book was released on 2012-02-23 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Clifford Algebras with Numeric and Symbolic Computations by : Rafał Abłamowicz
Download or read book Clifford Algebras with Numeric and Symbolic Computations written by Rafał Abłamowicz and published by . This book was released on 1996-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications. This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail, i.e., Maple, Mathematica, Axiom, etc. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software.
Book Synopsis Clifford Algebras and Their Applications in Mathematical Physics by :
Download or read book Clifford Algebras and Their Applications in Mathematical Physics written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The algebraic theory of spinors and Clifford algebras by : Claude Chevalley
Download or read book The algebraic theory of spinors and Clifford algebras written by Claude Chevalley and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematics of Harmony by : Alexey Stakhov
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Book Synopsis Completely Positive Matrices by : Abraham Berman
Download or read book Completely Positive Matrices written by Abraham Berman and published by World Scientific. This book was released on 2003 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A real matrix is positive semidefinite if it can be decomposed as A = BBOC . In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A = BBOC is known as the cp- rank of A . This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp- rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined. Contents: Preliminaries: Matrix Theoretic Background; Positive Semidefinite Matrices; Nonnegative Matrices and M -Matrices; Schur Complements; Graphs; Convex Cones; The PSD Completion Problem; Complete Positivity: Definition and Basic Properties; Cones of Completely Positive Matrices; Small Matrices; Complete Positivity and the Comparison Matrix; Completely Positive Graphs; Completely Positive Matrices Whose Graphs are Not Completely Positive; Square Factorizations; Functions of Completely Positive Matrices; The CP Completion Problem; CP Rank: Definition and Basic Results; Completely Positive Matrices of a Given Rank; Completely Positive Matrices of a Given Order; When is the CP-Rank Equal to the Rank?. Readership: Upper level undergraduates, graduate students, academics and researchers interested in matrix theory."
