Calculus with Curvilinear Coordinates - Problems and Solutions

This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes the discussion of parametrization methods as well as topics such as potential theory and integral theorems. The target audience primarily comprises university teachers in engineering mathematics, but the book may also be beneficial for advanced undergraduate and graduate students alike.

List of contents

Arc Length and Tangent Vector.- Differentiation of Field Quantities.- Work, Line Integral and Potential.- Integral Theorems of Vector Analysis.

Summary

This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes the discussion of parametrization methods as well as topics such as potential theory and integral theorems. The target audience primarily comprises university teachers in engineering mathematics, but the book may also be beneficial for advanced undergraduate and graduate students alike.

Product details

• Authors: Markus Antoni, Antoni Markus
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 31.01.2019
• EAN: 9783030004156
• ISBN: 978-3-0-3000415-6
• No. of pages: 124
• Dimensions: 155 mm x 259 mm x 15 mm
• Weight: 362 g
• Illustrations: XIV, 124 p. 61 illus., 1 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Mathematische Analysis, allgemein, engineering, Mathematical and Computational Engineering, Differential Geometry, Numerical analysis, Manifolds (Mathematics), Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Global analysis (Mathematics), Global Analysis and Analysis on Manifolds, Differential & Riemannian geometry