Elements of Vector Algebra (Classic Reprint) - Couverture souple

Silberstein, Ludwik

Couverture souple

ISBN 10 : 1330137582 ISBN 13 : 9781330137581

Editeur : Forgotten Books, 2018

Synopsis

Master vector algebra with clear, practical guidance. This concise introduction explains what vectors are, how to add them, and how they interact in space. It emphasizes practical methods for geometrical optics and other real‑world applications, using straightforward explanations and examples.

Vectors are defined in plain terms, with emphasis on size, direction, and how to compare them. The book shows how to transfer vectors without changing their essence and why commutativity of addition matters. It builds from basic concepts to more advanced tools used in physics and geometry.

• Discover how to represent vectors, unit vectors, and their tensors in simple terms.


• Learn to add and subtract vectors, and to form meaningful vector chains or sums.


• Explore the vector and scalar products, including their geometric interpretations and formulas.


• See how to expand products and work with more complex ideas like the vector product and dyadics.

Ideal for readers seeking a practical, readable entry point to vector algebra and its applications in science and engineering.

Elements of Vector Algebra is well suited for students new to the subject and for those needing a solid, usable reference.

A propos du livre

Présentation de l'éditeur

Excerpt from Elements of Vector Algebra

This little book was written at the instance of Messrs. Adam Hilger, and, in accordance with their desire, it contains just what is required for the purpose of reading and handling my Simplified Method of Tracing Rays, etc. (Longmans, Green & Co., London, 1918). With this practical aim in view, all critical subtleties have been purposely avoided. In fact, it is scarcely more than a synoptical presentation of the elements of Vector Algebra covering the needs of those engaged in geometrical optics. At the same time, however, it is hoped that this booklet will serve a more general purpose, viz. to provide everybody unacquainted with the subject with an easy introduction to the use of Vector Algebra.

It is scarcely necessary to explain that the deductions given in this book are based on Euclid's axioms, notably with the inclusion of his postulate of parallels - upon which the equality of vectors is most essentially based. Those readers who are desirous of seeing how the formal rules here given can be generalized so as to be valid independently of the axioms of congruence and of parallels, may consult the author's Projective Vector Algebra (Bell & Sons, 1919), and a sequel to it published in Phil. Mag. for July, 1919, pp. 115-143. It is, however, advisable for the student to become first thoroughly familiar with the euclidean vector algebra as here presented.

I take the opportunity of expressing my sincere thanks to Messrs. Hilger for enabling me to make this further contribution towards the promotion of the more general use of this powerful and convenient language of vectors, and to the Publishers for the care they have bestowed upon this little book.

About the Publisher

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1330137582
• ISBN 13: 9781330137581
• Reliure: Broché
• Nombre de pages: 55
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