Vector Analysis (Classic Reprint): A Text-Book for the Use of Students of Mathematics and Physics - Couverture souple

Edwin Bidwell Wilson

Couverture souple

ISBN 10 : 1440089779 ISBN 13 : 9781440089770

Editeur : Forgotten Books, 2018

Synopsis

Master the practical side of vector analysis with a classic textbook approach.

This edition emphasizes how vector methods apply to physics, geometry, and engineering, guiding readers from basic operations to advanced concepts. It foregrounds practical use, clear explanations, and illustrations drawn from geometry, mechanics, and physics. This book frames vector analysis as a tool for real problems, not just theory. It divides the subject into three parts—addition and products, differential and integral calculus, and the theory of the linear vector function—then builds chapters around these ideas with practical examples and exercises. It also discusses how vector analysis compares with other algebras and why it is useful for students of physics and mathematics alike.

• Learn scalar and vector operations, including dot products and vector products, with careful, beginner-friendly explanations.
• Explore the differential and integral calculus of vector fields, including how divergence and curl relate to potentials.
• Delve into the linear vector function and its role in physics and linear algebra, with attention to applications in non-isotropic media and matrices.
• See how historical developments and different approaches shaped practical vector analysis, plus guidance on when to use which tools.

Ideal for readers seeking a solid, application-focused introduction to vector analysis that connects theory to real-world problems.

A propos du livre

Présentation de l'éditeur

Professor Gibbs on VECTOR ANALYSIS for publication in theY ale Bicentennial Series, Professor Gibbs himself was already so fully engaged upon his work to appear in the same series, Elementary Principles inS tatistical Mechanics, that it was understood no material assistance in the composition of this book could be expected from him. For this reason he wished me to feel entirely free to use my own discretion alike in the selection of the topics to be treated and in the mode of treatment. It has been my endeavor to use the freedom thus granted only in so far as was necessary for presenting his method in text-book form. By far the greater part of the material used in the following pages has been taken from the course of lectures on Vector Analysis delivered annually at the University by Professor Gibbs. Some use, however, has been made of the chapters on Vector Analysis in Mr. Oliver Heaviside sE lec~ tromagnetic Theory (E lectrician Series, 1893) and in Professor Foppl slectures on Die MaxwelV sche Theorie derE lectricitdt (T eubner, 1894). My previous study of Quaternions has also been of great assistance. The material thus obtained has been arranged in the way which seems best suited to easy mastery of the subject. Those A rts, which it seemed best to incorporate in the text but which for various reasons may well be omitted at the first reading have been marked with an asterisk (). Numerous illustrative examples have been drawn from geometry, mechanics, and physics. I ndeed, a large part of the text has to do with applications of the method.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of histori

Présentation de l'éditeur

Excerpt from Vector Analysis: A Text-Book for the Use of Students of Mathematics and Physics

When I undertook to adapt the lectures of Professor Gibbs on Vector Analysis for publication in the Yale Bicentennial Series, Professor Gibbs himself was already so fully engaged upon his work to appear in the same series, Elementary Principles in Statistical Mechanics, that it was understood no material assistance in the composition of this book could be expected from him. For this reason he wished me to feel entirely free to use my own discretion alike in the selection of the topics to be treated and in the mode of treatment. It has been my endeavor to use the freedom thus granted only in so far as was necessary for presenting his method in text-book form.

By far the greater part of the material used in the following pages has been taken from the course of lectures on Vector Analysis delivered annually at the University by Professor Gibbs. Some use, however, has been made of the chapters on Vector Analysis in Mr. Oliver Heaviside's Electromagnetic Theory (Electrician Series, 1893) and in Professor Föppl's lectures on Die Maxwell'sche Theorie der Electricitāt (Teubner, 1894). My previous study of Quaternions has also been of great assistance.

The material thus obtained has been arranged in the way which seems best suited to easy mastery of the subject. Those Arts, which it seemed best to incorporate in the text but which for various reasons may well be omitted at the first reading have been marked with an asterisk (*). Numerous illustrative examples have been drawn from geometry, mechanics, and physics. Indeed, a large part of the text has to do with applications of the method.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440089779
• ISBN 13: 9781440089770
• Reliure: Broché
• Nombre de pages: 456
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