Download or read book Introduction a la Geometrie Differentielle written by Cesare Burali-Forti and published by Nabu Press. This book was released on 2013-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Download or read book Grassmann Algebra Volume 1 Foundations written by John Browne and published by John M Browne. This book was released on 2012-10-25 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, … multivectors. The extensive exterior product also has a regressive dual: the regressive product. The pair behaves a little like the Boolean duals of union and intersection. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be defined. Theorems of Projective Geometry are simply formulae involving these entities and the dual products. By introducing the (orthogonal) complement operation, the scalar product of vectors may be extended to the interior product of multivectors, which in this more general case may no longer result in a scalar. The notion of the magnitude of vectors is extended to the magnitude of multivectors: for example, the magnitude of the exterior product of two vectors (a bivector) is the area of the parallelogram formed by them. To develop these foundational concepts, we need only consider entities which are the sums of elements of the same grade. This is the focus of this volume. But the entities of Grassmann algebra need not be of the same grade, and the possible product types need not be constricted to just the exterior, regressive and interior products. For example quaternion algebra is simply the Grassmann algebra of scalars and bivectors under a new product operation. Clifford, geometric and higher order hypercomplex algebras, for example the octonions, may be defined similarly. If to these we introduce Clifford's invention of a scalar which squares to zero, we can define entities (for example dual quaternions) with which we can perform elaborate transformations. Exploration of these entities, operations and algebras will be the focus of the volume to follow this. There is something fascinating about the beauty with which the mathematical structures that Hermann Grassmann discovered describe the physical world, and something also fascinating about how these beautiful structures have been largely lost to the mainstreams of mathematics and science. He wrote his seminal Ausdehnungslehre (Die Ausdehnungslehre. Vollständig und in strenger Form) in 1862. But it was not until the latter part of his life that he received any significant recognition for it, most notably by Gibbs and Clifford. In recent times David Hestenes' Geometric Algebra must be given the credit for much of the emerging awareness of Grassmann's innovation. In the hope that the book be accessible to scientists and engineers, students and professionals alike, the text attempts to avoid any terminology which does not make an essential contribution to an understanding of the basic concepts. Some familiarity with basic linear algebra may however be useful. The book is written using Mathematica, a powerful system for doing mathematics on a computer. This enables the theory to be cross-checked with computational explorations. However, a knowledge of Mathematica is not essential for an appreciation of Grassmann's beautiful ideas.
Download or read book Electronic Warfare Target Location Methods Second Edition written by Richard Poisel and published by Artech House. This book was released on 2012 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Worldwide growth of space communications has caused a rapid increase in the number of satellites operating in geostationary orbits, causing overcrowded orbits. This practical resource is designed to help professionals overcome this problem. This timely book provides a solid understanding of the use of radio interferometers for tracking and monitoring satellites in overcrowded environments. Practitioners learn the fundamentals of radio interferometer hardware, including antennas, receiving equipment, signal processing and phase detection, and measurement accuracies. This in-depth volume describes the nature of the targets to be tracked by the interferometer, helping to clarify the movement of target satellites and what specific information has to be caught by the interferometer. Additionally, engineers find details on applications to practical cases of satellite tracking, covering different types of interferometers, recent technical developments, orbital monitoring and safety control.
Download or read book Science written by John Michels (Journalist) and published by . This book was released on 1899 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1911-13 contain the Proceedings of the Helminothological Society of Washington, ISSN 0018-0120, 1st-15th meeting.
Download or read book The Mathematics of Frobenius in Context written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2013-07-23 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Download or read book A Treatise on Universal Algebra written by Alfred North Whitehead and published by . This book was released on 1898 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction la g om trie diff rentielle written by Cesare Burali-Forti and published by . This book was released on 1897 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Monist written by Paul Carus and published by . This book was released on 1917 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 2 and 5 include appendices.
Download or read book Bibliotheca Chemico mathematica written by Henry Sotheran Ltd and published by . This book was released on 1921 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Revue Semestrielle Des Publications Math matiques written by and published by . This book was released on 1899 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1899 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Understanding Whitehead written by Victor Lowe and published by JHU Press. This book was released on 2020-02-03 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1962. The central aim of this book is to discuss the development of Alfred North Whitehead's thought and to underscore how it is unique. Understanding Whitehead collects nine essays written by Victor Lowe originally published between 1941 and 1961. The essays have been revised for inclusion in this volume.
Download or read book Introduction a la g om trie diff rentielle written by Cesare Burali-Forti and published by . This book was released on 1977 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bibliotheca Reuteriana written by Auguste Julius Clemens Herbert baron de Reuter and published by . This book was released on 1916 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by École normale supérieure (France) and published by . This book was released on 1893 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1898 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction a la Geometrie Differentielle written by Cesare Burali-Forti and published by Nabu Press. This book was released on 2014-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
