Author : Michael J. Crowe
Publisher : Courier Corporation
Page : 306 pages
File Size : 30,19 MB
Release : 1994-01-01
Category : 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
Page : 306 pages
File Size : 31,71 MB
Release : 2012-06-22
Category : 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
Page : 226 pages
File Size : 38,62 MB
Release : 2012-05-04
Category : 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 : Josiah Willard Gibbs
Publisher :
Page : 470 pages
File Size : 46,91 MB
Release : 1901
Category : Vector analysis
ISBN :
Author : A. I. Borisenko
Publisher : Courier Corporation
Page : 292 pages
File Size : 44,77 MB
Release : 2012-08-28
Category : 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 : C. E. Springer
Publisher : Courier Corporation
Page : 258 pages
File Size : 33,21 MB
Release : 2013-09-26
Category : 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 : John Vince
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 44,54 MB
Release : 2007-06-18
Category : 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
Page : 289 pages
File Size : 31,90 MB
Release : 2013-03-09
Category : 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 : Antonio Galbis
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 41,63 MB
Release : 2012-03-29
Category : Mathematics
ISBN : 1461422000
The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.
Author : D. E. Bourne
Publisher : Academic Press
Page : 271 pages
File Size : 41,45 MB
Release : 2014-05-10
Category : 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.
