| 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 | : Louis Brand |
| Publisher | : Courier Corporation |
| Total Pages | : 306 |
| Release | : 2012-06-22 |
| Genre | : Mathematics |
| ISBN | : 048615484X |
This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.
| Author | : Homer E. Newell |
| Publisher | : Courier Corporation |
| Total Pages | : 226 |
| Release | : 2012-05-04 |
| Genre | : Mathematics |
| ISBN | : 0486154904 |
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.
| Author | : C. E. Springer |
| Publisher | : Courier Corporation |
| Total Pages | : 258 |
| Release | : 2013-09-26 |
| Genre | : Mathematics |
| ISBN | : 048632091X |
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
| 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 | : 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 | : 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 | : L.R. Shorter |
| Publisher | : Courier Corporation |
| Total Pages | : 372 |
| Release | : 2014-07-16 |
| Genre | : Mathematics |
| ISBN | : 0486780813 |
"A handy book like this," noted The Mathematical Gazette, "will fill a great want." Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis for undergraduate and graduate students of applied mathematics. Opening chapters define vector addition and subtraction, show how to resolve and determine the direction of two or more vectors, and explain systems of coordinates, vector equations of a plane and straight line, relative velocity and acceleration, and infinitely small vectors. The following chapters deal with scalar and vector multiplication, axial and polar vectors, areas, differentiation of vector functions, gradient, curl, divergence, and analytical properties of the position vector. Applications of vector analysis to dynamics and physics are the focus of the final chapter, including such topics as moving rigid bodies, energy of a moving rigid system, central forces, equipotential surfaces, Gauss's theorem, and vector flow. Dover (2014) republication of Introduction to Vector Analysis, originally published by Macmillan and Company, Ltd., London, 1931. See every Dover book in print at www.doverpublications.com
