A Historical Study Of Vector Analysis
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Author | : Michael J. Crowe |
Publisher | : Courier Corporation |
Total Pages | : 306 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 0486679101 |
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Author | : c. t. tai |
Publisher | : |
Total Pages | : 80 |
Release | : 1995 |
Genre | : |
ISBN | : |
Author | : Josiah Willard Gibbs |
Publisher | : |
Total Pages | : 90 |
Release | : 1884 |
Genre | : Vector analysis |
ISBN | : |
Author | : A. I. Borisenko |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2012-08-28 |
Genre | : Mathematics |
ISBN | : 0486131904 |
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
Author | : John Vince |
Publisher | : Springer Science & Business Media |
Total Pages | : 260 |
Release | : 2007-06-18 |
Genre | : Computers |
ISBN | : 1846288037 |
This book is a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating vector algebra. Even though vector analysis is a relatively recent development in the history of mathematics, it has become a powerful and central tool in describing and solving a wide range of geometric problems. The book is divided into eleven chapters covering the mathematical foundations of vector algebra and its application to, among others, lines, planes, intersections, rotating vectors, and vector differentiation.
Author | : J Willard Gibbs |
Publisher | : Hassell Street Press |
Total Pages | : 0 |
Release | : 2023-07-22 |
Genre | : |
ISBN | : 9781022889460 |
This textbook is a comprehensive guide to vector analysis, a mathematical tool that has applications across many disciplines. Written by the acclaimed mathematician J. Willard Gibbs, this book is a timeless resource for students and professionals alike. 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 | : Klaus Jänich |
Publisher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475734786 |
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.
Author | : Edwin Bidwell Wilson |
Publisher | : |
Total Pages | : 476 |
Release | : 1901 |
Genre | : Vector analysis |
ISBN | : |
Author | : D. E. Bourne |
Publisher | : Academic Press |
Total Pages | : 271 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483260704 |
Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.
Author | : Murray R. Spiegel |
Publisher | : McGraw Hill Professional |
Total Pages | : 242 |
Release | : 1959 |
Genre | : Calculus of tensors |
ISBN | : 9780070602281 |