This manual covers the "Problems and Worked Solutions in Vector Analysis" by L.R. Shorter, published by Dover Publications. This text serves as a comprehensive introductory course in vector analysis, designed for undergraduate and graduate students in applied mathematics. It features fully worked-out examples to facilitate understanding of fundamental concepts and advanced applications.
The manual's scope includes detailed explanations of vector operations such as addition, subtraction, scalar and vector multiplication, and differentiation. It delves into concepts like gradient, curl, divergence, and the analytical properties of position vectors. Furthermore, the text explores practical applications of vector analysis in dynamics and physics, encompassing topics from the motion of rigid bodies to Gauss's theorem and vector flow, providing a robust resource for mastering vector analysis.
"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.
Author: Shorter, L.R.
Publisher: Dover Publications
Illustration: N
Language: ENG
Title: Problems and Worked Solutions in Vector Analysis
Pages: 00368 (Encrypted EPUB)
On Sale: 2014-06-01
SKU-13/ISBN: 9780486780818
Category: Mathematics : Vector Analysis
"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.
Author: Shorter, L.R.
Publisher: Dover Publications
Illustration: N
Language: ENG
Title: Problems and Worked Solutions in Vector Analysis
Pages: 00368 (Encrypted EPUB)
On Sale: 2014-06-01
SKU-13/ISBN: 9780486780818
Category: Mathematics : Vector Analysis
