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Author : Charles Ernest Weatherburn
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.3/5 (91 download)
Download or read book Elementary Vector Analysis written by Charles Ernest Weatherburn and published by . This book was released on 1921 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (99 download)
Download or read book Elementary Vector Analysis written by and published by . This book was released on 1935 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. E. Weatherburn
Publisher :
ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.:/5 (223 download)
Download or read book Elementary Vector Analysis with Application to Geometry and Mechanics written by C. E. Weatherburn and published by . This book was released on 1963 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. E. WEATHERBURN
Publisher :
ISBN 13 : 9781033133743
Total Pages : 0 pages
Book Rating : 4.1/5 (337 download)
Download or read book ELEMENTARY VECTOR ANALYSIS written by C. E. WEATHERBURN and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Ernest Weatherburn
Publisher :
ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.:/5 (31 download)
Download or read book Elementary vector analysis written by Charles Ernest Weatherburn and published by . This book was released on 1955 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. E. Weatherburn
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (867 download)
Download or read book Elementary Vector Analysis written by C. E. Weatherburn and published by . This book was released on 1920 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Ernest Weatherburn
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (146 download)
Download or read book Elementary Vector Analysis with Application to Geometry and Physics written by Charles Ernest Weatherburn and published by . This book was released on 1931 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. E. Weatherburn
Publisher : Forgotten Books
ISBN 13 : 9780265206133
Total Pages : 214 pages
Book Rating : 4.2/5 (61 download)
Download or read book Elementary Vector Analysis written by C. E. Weatherburn and published by Forgotten Books. This book was released on 2017-10-12 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elementary Vector Analysis: With Application to Geometry and Physics The son gave early evidence of genius, being a remarkable linguist and displaying great mathematical talent. He entered Trinity College, Dublin, in 1824, where he had a brilliant and unprecedented career. His ability was so conspicuous that in 1827, while still an undergraduate, he was asked to apply for the vacant Andrews' Professorship of Astronomy in the Uni versity of Dublin, and was appointed to the position. He was not specially qualified as a practical astronomer; but the con ditions of his appointment allowed him to advance the cause of Science in the way he felt best able to do so. In 1835, while acting as secretary to the at its meeting in Dublin, he received a knighthood; and two years later the importance of his scientific work was recognised by his election as President of the Royal Irish Academy. His mathematical work continued uninterrupted till his death on 2nd September, 1865, at the age of sixty. It often happens that we get our most important ideas while not formally working at a subject, perhaps while walking in the country or by the sea, or even in more commonplace surroundings. From a letter of Hamilton's we learn that, on l6th October, 1843, while he was walking beside the Royal Canal on his way to preside at a meeting of the Academy, the thought flashed into his mind which gave the key to a problem that had been occupying his thoughts, and led to the birth and development of the subject of Quaternions. He announced the discovery at that meeting of the Academy, and asked per mission to read a paper on quaternions at the next, which he. Did on 13th November. During the next few years he expanded the subject, and published his Lectures on Quaternions in 1853, while the Elements of Quaternions appeared in 1866, soon after his death. 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.
Author : C E B 1884 Weatherburn
Publisher : Legare Street Press
ISBN 13 : 9781016358958
Total Pages : 0 pages
Book Rating : 4.3/5 (589 download)
Download or read book Elementary Vector Analysis, With Application to Geometry and Physics written by C E B 1884 Weatherburn and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author :
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.:/5 (36 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1924 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes section "Recent publications."
Author : Charles Ernest Weatherburn
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.3/5 ( download)
Download or read book Elementary Vector Analysis written by Charles Ernest Weatherburn and published by . This book was released on 1955 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. E. Weatherburn
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (431 download)
Download or read book Elementary Vector Analysis written by C. E. Weatherburn and published by . This book was released on 1953 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 824 pages
Book Rating : 4.:/5 (321 download)
Download or read book The Journal of Education written by and published by . This book was released on 1921 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. P. Lebedev
Publisher : World Scientific
ISBN 13 : 9814313998
Total Pages : 378 pages
Book Rating : 4.8/5 (143 download)
Download or read book Tensor Analysis with Applications in Mechanics written by L. P. Lebedev and published by World Scientific. This book was released on 2010 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Preliminaries. 1.1. The vector concept revisited. 1.2. A first look at tensors. 1.3. Assumed background. 1.4. More on the notion of a vector. 1.5. Problems -- 2. Transformations and vectors. 2.1. Change of basis. 2.2. Dual bases. 2.3. Transformation to the reciprocal frame. 2.4. Transformation between general frames. 2.5. Covariant and contravariant components. 2.6. The cross product in index notation. 2.7. Norms on the space of vectors. 2.8. Closing remarks. 2.9. Problems -- 3. Tensors. 3.1. Dyadic quantities and tensors. 3.2. Tensors from an operator viewpoint. 3.3. Dyadic components under transformation. 3.4. More dyadic operations. 3.5. Properties of second-order tensors. 3.6. Eigenvalues and eigenvectors of a second-order symmetric tensor. 3.7. The Cayley-Hamilton theorem. 3.8. Other properties of second-order tensors. 3.9. Extending the Dyad idea. 3.10. Tensors of the fourth and higher orders. 3.11. Functions of tensorial arguments. 3.12. Norms for tensors, and some spaces. 3.13. Differentiation of tensorial functions. 3.14. Problems -- 4. Tensor fields. 4.1. Vector fields. 4.2. Differentials and the nabla operator. 4.3. Differentiation of a vector function. 4.4. Derivatives of the frame vectors. 4.5. Christoffel coefficients and their properties. 4.6. Covariant differentiation. 4.7. Covariant derivative of a second-order tensor. 4.8. Differential operations. 4.9. Orthogonal coordinate systems. 4.10. Some formulas of integration. 4.11. Problems -- 5. Elements of differential geometry. 5.1. Elementary facts from the theory of curves. 5.2. The torsion of a curve. 5.3. Frenet-Serret equations. 5.4. Elements of the theory of surfaces. 5.5. The second fundamental form of a surface. 5.6. Derivation formulas. 5.7. Implicit representation of a curve; contact of curves. 5.8. Osculating paraboloid. 5.9. The principal curvatures of a surface. 5.10. Surfaces of revolution. 5.11. Natural equations of a curve. 5.12. A word about rigor. 5.13. Conclusion. 5.14. Problems -- 6. Linear elasticity. 6.1. Stress tensor. 6.2. Strain tensor. 6.3. Equation of motion. 6.4. Hooke's law. 6.5. Equilibrium equations in displacements. 6.6. Boundary conditions and boundary value problems. 6.7. Equilibrium equations in stresses. 6.8. Uniqueness of solution for the boundary value problems of elasticity. 6.9. Betti's reciprocity theorem. 6.10. Minimum total energy principle. 6.11. Ritz's method. 6.12. Rayleigh's variational principle. 6.13. Plane waves. 6.14. Plane problems of elasticity. 6.15. Problems -- 7. Linear elastic shells. 7.1. Some useful formulas of surface theory. 7.2. Kinematics in a neighborhood of [symbol]. 7.3. Shell equilibrium equations. 7.4. Shell deformation and strains; Kirchhoff's hypotheses. 7.5. Shell energy. 7.6. Boundary conditions. 7.7. A few remarks on the Kirchhoff-Love theory. 7.8. Plate theory. 7.9. On Non-classical theories of plates and shells
Author : Miroslav Josipović
Publisher : Springer Nature
ISBN 13 : 3030017567
Total Pages : 241 pages
Book Rating : 4.0/5 (3 download)
Download or read book Geometric Multiplication of Vectors written by Miroslav Josipović and published by Springer Nature. This book was released on 2019-11-22 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric algebra. High school students have the potential to explore it, and undergraduate students can master it. The universality, the clear geometric interpretation, the power of generalizations to any dimension, the new insights into known theories, and the possibility of computer implementations make geometric algebra a thrilling field to unearth.
Author : Richard Talman
Publisher : John Wiley & Sons
ISBN 13 : 352761141X
Total Pages : 605 pages
Book Rating : 4.5/5 (276 download)
Download or read book Geometric Mechanics written by Richard Talman and published by John Wiley & Sons. This book was released on 2007-09-24 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: For physicists, mechanics is quite obviously geometric, yet the classical approach typically emphasizes abstract, mathematical formalism. Setting out to make mechanics both accessible and interesting for non-mathematicians, Richard Talman uses geometric methods to reveal qualitative aspects of the theory. He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. For easy reference, the author treats Lagrangian, Hamiltonian, and Newtonian mechanics separately -- exploring their geometric structure through vector fields, symplectic geometry, and gauge invariance respectively. Practical perturbative methods of approximation are also developed. This second, fully revised edition has been expanded to include new chapters on electromagnetic theory, general relativity, and string theory. 'Geometric Mechanics' features illustrative examples and assumes only basic knowledge of Lagrangian mechanics.
Author : John Cragoe Tallack
Publisher : Cambridge University Press
ISBN 13 : 0521079993
Total Pages : 310 pages
Book Rating : 4.5/5 (21 download)
Download or read book Introduction to Vector Analysis written by John Cragoe Tallack and published by Cambridge University Press. This book was released on 1970 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first eight chapters of this book were originally published in 1966 as the successful Introduction to Elementary Vector Analysis. In 1970, the text was considerably expanded to include six new chapters covering additional techniques (the vector product and the triple products) and applications in pure and applied mathematics. It is that version which is reproduced here. The book provides a valuable introduction to vectors for teachers and students of mathematics, science and engineering in sixth forms, technical colleges, colleges of education and universities.
