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Author: Michael J. Crowe
Publisher: Courier Corporation
Published: 1994-01-01
Total Pages: 306
ISBN-13: 0486679101
DOWNLOAD EBOOK →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: Homer E. Newell
Publisher: Courier Corporation
Published: 2012-05-04
Total Pages: 226
ISBN-13: 0486154904
DOWNLOAD EBOOK →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: Louis Brand
Publisher: Courier Corporation
Published: 2012-06-22
Total Pages: 306
ISBN-13: 048615484X
DOWNLOAD EBOOK →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: Antonio Galbis
Publisher: Springer Science & Business Media
Published: 2012-03-29
Total Pages: 383
ISBN-13: 1461422000
DOWNLOAD EBOOK →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: Harry F. Davis
Publisher:
Published: 1988
Total Pages: 365
ISBN-13: 9780697063564
DOWNLOAD EBOOK →Author: John Vince
Publisher: Springer Science & Business Media
Published: 2007-06-18
Total Pages: 260
ISBN-13: 1846288037
DOWNLOAD EBOOK →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
Published: 2013-03-09
Total Pages: 289
ISBN-13: 1475734786
DOWNLOAD EBOOK →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: C. E. Springer
Publisher: Courier Corporation
Published: 2013-09-26
Total Pages: 256
ISBN-13: 048632091X
DOWNLOAD EBOOK →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.
