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 a practical, application-focused introduction

This concise guide teaches vectors, products, and geometric methods through clear definitions, step-by-step rules, and hands-on techniques you can apply in physics, engineering, and optics. It emphasizes usable concepts and careful reasoning over abstract theory, helping you build confidence quickly.

This edition presents essential topics in a practical sequence: defining vectors, comparing their sizes and directions, adding and combining them, and using scalar and vector products. It also explores how to expand vector formulas, work with iterative products, and understand dyadic operators for advanced applications. The book uses concrete examples and geometric intuition to illuminate the core tools you’ll rely on in real-world problems.
What you’ll experience:

• A solid grounding in vector definitions, equality, and addition
• Practical rules for scalar and vector products, with geometric interpretation
• Techniques for expanding and applying vector formulas in problem solving
• An introduction to dyads and dyadics as linear vector operators
• Hands-on guidance for applying vector algebra to optics and related fields

Ideal for students and professionals who want a clear, usable introduction to vectors and their operations, with emphasis on direct application and step-by-step understanding.

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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