Download or read book Clifford Algebras and Their Applications in Mathematical Physics written by J.S.R. Chisholm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
Download or read book Advances in Water Resources Engineering and Management written by Rafid AlKhaddar and published by Springer. This book was released on 2019-06-26 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises select papers presented at the International Conference on Trends and Recent Advances in Civil Engineering (TRACE 2018). The book covers inter-disciplinary research and applications in integrated water resource management, river ecology, irrigation system, water pollution and treatment, hydraulic structure and hydro-informatics. The topics on water resource management include technological intervention and solution for climate change impacts on water resources, water security, clean water to all, sustainable water reuse, flood risk assessment, interlinking of rivers and hydro policy. The contents of this book will be useful to researchers and professionals working in the field of water resource management and related policy making.
Download or read book Reaction diffusion Waves written by Arnaud Ducrot and published by Editions Publibook. This book was released on 2009 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.
Download or read book Clifford Algebra to Geometric Calculus written by David Hestenes and published by Springer Science & Business Media. This book was released on 1984 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.
Download or read book Clifford Analysis and Its Applications written by F. Brackx and published by Springer Science & Business Media. This book was released on 2001-07-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research. Readership: Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.
Download or read book Know the Anti Nationals written by RSN Singh and published by Lancer Publishers. This book was released on 2021-02-04 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in an era of nation-states. Nationhood is predicated on shared sense of past and a common purpose of future. More than nation-state, India is a civilization, a complete civilization. To keep this civilization fresh and vibrant, winds from all directions are imperative for its nourishment. But, winds cannot be allowed to build into destructive storms, that threaten to uproot the civilization, the very basis of nationhood. Jihadism and Maoism are the two main destructive storms. Fueling these storms are India’s enemies as well as the forces of proselytization. They have to be crushed both at ideological and physical levels. We have been squeamish in dealing with the problems because of the misplaced notion that all ideologies are basically benign and beneficial, they are not. 73 years of our post-independence experience is testimony. This misplaced notion has caused at least a lakh lives in Kashmir alone, resulting in ethnic cleansing of Hindus from the Valley by the jihadists. Sardar Patel did crush the communist revolt in Telangana, but in the following years due to subversion of our political class, it grew into the ‘Red Corridor’, i.e. from Tirupati to Pashupati. These forces have to be vanquished to secure the internal or the third front. This book ‘Know the Anti-Nationals’ exposes these enemies within.
Download or read book Advances in Water Resources Engineering written by Chih Ted Yang and published by Springer. This book was released on 2014-12-06 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, Advances in Water Resources Engineering, Volume 14, covers the topics on watershed sediment dynamics and modeling, integrated simulation of interactive surface water and groundwater systems, river channel stabilization with submerged vanes, non-equilibrium sediment transport, reservoir sedimentation, and fluvial processes, minimum energy dissipation rate theory and applications, hydraulic modeling development and application, geophysical methods for assessment of earthen dams, soil erosion on upland areas by rainfall and overland flow, geofluvial modeling methodologies and applications, and environmental water engineering glossary.
Download or read book Geometry and Physics written by Asim Orhan Barut and published by . This book was released on 1989 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Geometry written by Ian R. Porteous and published by Cambridge University Press. This book was released on 1981-02-05 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and differentiable maps that leads up to the definitions of smooth manifolds and their tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends earlier work on the Spin groups in the chapter on Clifford algebras. The details include a number of important transitive group actions and a description of one of the exceptional Lie groups, the group G2. A number of corrections and improvements have also been made. There are many exercises throughout the book and senior undergraduates in mathematics as well as first-year graduate students will continue to find it stimulating and rewarding.
Download or read book Organic Evolution written by Mohan P. Arora and published by . This book was released on 2009 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past century the impact of the concept of Organic Evolution has been felt far beyond the domain of biology. So profound is this impact that it has come to influence the very fabric of human civilization. Viewed from the concept ~f Organic Evolution every organism inhabiting this planet assumes a significance which is fas- cinating and real. Biological Evolution is an integral part of the evolution of the cosmos and the srigin and progress of mankind are just a part of the story of biologi- cal evolution. A precise knowledge of one`s own biologi- calbackground is indispensable for co.
Download or read book Steel and Timber Structures written by George A. Hool and published by . This book was released on 1924 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proof And Computation Digitization In Mathematics Computer Science And Philosophy written by Klaus Mainzer and published by World Scientific. This book was released on 2018-05-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.
