A History of Vector Analysis

A History of Vector Analysis

Author: Michael J. Crowe

Publisher: Courier Corporation

Published: 1994-01-01

Total Pages: 306

ISBN-13: 0486679101

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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.


Vector Analysis

Vector Analysis

Author: Louis Brand

Publisher: Courier Corporation

Published: 2012-06-22

Total Pages: 306

ISBN-13: 048615484X

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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.


Advanced Calculus

Advanced Calculus

Author: Harold M. Edwards

Publisher: Springer Science & Business Media

Published: 1994-01-05

Total Pages: 532

ISBN-13: 9780817637071

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This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.


Text Book of Vector Calculus

Text Book of Vector Calculus

Author: Anil Kumar Sharma

Publisher: Discovery Publishing House

Published: 2010

Total Pages: 312

ISBN-13: 9788183560948

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Contents: Differentiation and Integration of Vectors, Multiple Vectors, Gradient, Divergence and Curl, Green s Gauss s and Stoke s Theorem.


Vector Analysis

Vector Analysis

Author: Klaus Jänich

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 289

ISBN-13: 1475734786

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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.


Vector Analysis Versus Vector Calculus

Vector Analysis Versus Vector Calculus

Author: Antonio Galbis

Publisher: Springer Science & Business Media

Published: 2012-03-29

Total Pages: 383

ISBN-13: 1461422000

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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.