Vector Analysis And Quaternions
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Vector Analysis And Quaternions
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Author : Alexander MacFarlane
language : en
Publisher:
Release Date : 2019-12-20
Vector Analysis And Quaternions written by Alexander MacFarlane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-20 with categories.
Since this Introduction to Vector Analysis and Quaternions was first published in 1896, the study of the subject has become much more general; and whereas some reviewers then regarded the analysis as a luxury, it is now recognized as a necessity for the exact student of physics or engineering. In America, Professor Hathaway has published a Primer of Quaternions (New York, 1896), and Dr. Wilson has amplified and extended Professor Gibbs' lectures on vector analysis into a text-book for the use of students of mathematics and physics (New York, 1901). In Great Britain, Professor Henrici and Mr. Turner have published a manual for students entitled Vectors and Rotors (London, 1903); Dr. Knott has prepared a new edition of Kelland and Tait's Introduction to Quaternions (London, 1904); and Professor Joly has realized Hamilton's idea of a Manual ofQuaternions (London, 1905). In Germany Dr. Bucherer has published Elemente der Vektoranalysis (Leipzig, 1903) which has now reached a second edition.
Vector Analysis And Quaternions
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Author : Alexander Macfarlane
language : en
Publisher:
Release Date : 1896
Vector Analysis And Quaternions written by Alexander Macfarlane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Quaternions categories.
A History Of Vector Analysis
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Author : Michael J. Crowe
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
A History Of Vector Analysis written by Michael J. Crowe and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Vector Analysis And Quaternions
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Author : Alexander Macfarlane
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-03-24
Vector Analysis And Quaternions written by Alexander Macfarlane and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-24 with categories.
Vector Analysis and Quaternions Alexander Macfarlane
Vector Analysis And Quaternions
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Author : Macfarlane Alexander
language : en
Publisher:
Release Date : 1901
Vector Analysis And Quaternions written by Macfarlane Alexander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with categories.
The Relation Of Vector Analysis To Quaternions
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Author : Viola Rosenquist
language : en
Publisher:
Release Date : 1922
The Relation Of Vector Analysis To Quaternions written by Viola Rosenquist and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1922 with categories.
Elements Of Vector Analysis
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Author : Josiah Willard Gibbs
language : en
Publisher:
Release Date : 1884
Elements Of Vector Analysis written by Josiah Willard Gibbs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with Vector analysis categories.
Rotations Quaternions And Double Groups
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Author : Simon L. Altmann
language : en
Publisher: Courier Corporation
Release Date : 2013-04-09
Rotations Quaternions And Double Groups written by Simon L. Altmann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems. Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.
Vector Analysis And Quaternions Classic Reprint
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Author : Alexander Macfarlane
language : en
Publisher:
Release Date : 2016-07-05
Vector Analysis And Quaternions Classic Reprint written by Alexander Macfarlane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-05 with Mathematics categories.
Excerpt from Vector Analysis and Quaternions Every proposition about quantities in space ought to re main true when restricted to a plane; just as propositions about quantities in a plane remain true when restricted to a straight line. Hence in the following articles the ascent to the algebra of space is made through the intermediate algebra of the plane. Arts. 2-4 treat of the more restricted analysis, while Arts. 5 - 10 treat of the general analysis. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Quaternion And Clifford Fourier Transforms And Wavelets
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Author : Eckhard Hitzer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-24
Quaternion And Clifford Fourier Transforms And Wavelets written by Eckhard Hitzer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-24 with Mathematics categories.
Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamilton’s quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all its subspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts. This book provides comprehensive insights into current developments and applications including their performance and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms for hypercomplex algebras, which will help readers to see that software implementations are within our grasp. It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms and wavelets. The first chapter provides a historical background and an overview of the relevant literature, and shows how the contributions that follow relate to each other and to prior work. The book will be a valuable resource for graduate students as well as for scientists and engineers.