Elements Of Vector Analysis

This textbook by Josiah Willard Gibbs provides a comprehensive overview of vector analysis as it pertains to physics. The book covers topics ranging from vector algebra to the calculus of vector fields. It is an essential resource for students and researchers in the field of physics. 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.

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.

This book play a major role as basic tools in Differential geometry, Mechanics, Fluid Mathematics. The bulk of the book consists of five chapters on Vector Analysis and its applications. Each chapter is accompanied by a problem set. The problem sets constitute an integral part of the book. Solving the problems will expose you to the geometric, symbolic and numerical features of multivariable calculus. Contents: Algebra of Vectors, Differentiation of Vectors, Gradient Divergence and Curl, Vector Integration, Application of Vector Integration.

Vector Analysis with Applications discusses the theory of vector algebra, vector differential and integral calculus with applications to various fields such as geometry, mechanics, physics and engineering. The concept of vector analysis is explained lucidly with the geometric notions and physical motivations. Many new approaches and new problems have been incorporated to enable the readers understand the subject in a comprehensive and systematic manner. Numerous solved problems have been included in each chapter with sufficient number of exercises. Each concept is explained with geometric figures.