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Author: Seymour Schuster Publisher: ISBN: Category : Mathematics Languages : en Pages : 228
Book Description
Appropriate for high school and college courses, this elementary text addresses the development of vector algebra as a mathematical tool and features applications to trigonometry and algebra. Exercises, solutions. 1962 edition.
Author: Seymour Schuster Publisher: ISBN: Category : Mathematics Languages : en Pages : 228
Book Description
Appropriate for high school and college courses, this elementary text addresses the development of vector algebra as a mathematical tool and features applications to trigonometry and algebra. Exercises, solutions. 1962 edition.
Author: Gilbert de B. Robinson Publisher: Courier Corporation ISBN: 0486321045 Category : Mathematics Languages : en Pages : 194
Book Description
Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Author: Melvin Hausner Publisher: Courier Dover Publications ISBN: 0486835391 Category : Mathematics Languages : en Pages : 417
Book Description
A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.
Author: C. E. Weatherburn Publisher: Forgotten Books ISBN: 9781330407523 Category : Mathematics Languages : en Pages : 210
Book Description
Excerpt from Elementary Vector Analysis With Application to Geometry and Physics My object in writing this book was to provide a simple exposition of elementary Vector Analysis, and to show how it may be employed with advantage in Geometry and Mechanics. It was thought unnecessary, in the present volume, to enter upon the more advanced parts of the subject, built upon the ideas of gradient, curl and divergence. Vector algebra and the differentiation of vectors with respect to one scalar variable furnish a powerful instrument even for the higher parts of dynamics. The work does not claim to be a complete text-book in either Geometry or Mechanics, though a good deal of ground is covered in both subjects. The use of vector analysis in the former is abundantly illustrated by the treatment of the straight line, the plane, the sphere and the twisted curve, which are dealt with as fully as in most elementary books, and a good deal more concisely. In Mechanics I have explained and proved all the important elementary principles. The equations of equilibrium for a rigid body are deduced from the equations of motion. This is contrary to the ordinary practice and, of course, is not recommended for young beginners. But for a student who is able to read this volume, it is certainly desirable to show that the principles of statics are only particular cases of the dynamical ones, and that the long line of argument followed by text-books in Statics, to prove the theorems about moments, parallel forces, couples and the equilibrium of bodies, is really unnecessary. All these theorems are immediately deducible from the equations of motion of a rigid body, as shown in Chapter VIII. Another departure from the ordinary practice has been made in connection with the theory of centroids. 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: E. Œ. Wolstenholme Publisher: Elsevier ISBN: 1483138437 Category : Mathematics Languages : en Pages : 129
Book Description
Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors. The book covers topics that rigorously explain and provide definitions, principles, equations, and methods in vector analysis. Applications of vector methods to simple kinematical and dynamical problems; central forces and orbits; and solutions to geometrical problems are discussed as well. This edition of the text also provides an appendix, intended for students, which the author hopes to bridge the gap between theory and application in the real world. The text will be a superb reference material for students of higher mathematics, physics, and engineering.
Author: Seymour Schuster
Author: Seymour Schuster
Author: Charles Ernest Weatherburn
Author: Gilbert de B. Robinson
Author: Melvin Hausner
Author: Charles Ernest Weatherburn
Author: Charles Ernest Weatherburn
Author: C. E. Weatherburn
Author: Charles E. Weatherburn
Author: E. Œ. Wolstenholme
Author: Theodore Ropp