Overview
Helpful for lecturers in engineering mathematics
Presents many exercises and solutions
Contains worked out examples
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Table of contents (4 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Calculus with Curvilinear Coordinates
Book Subtitle: Problems and Solutions
Authors: Markus Antoni
DOI: https://doi.org/10.1007/978-3-030-00416-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-00415-6Published: 17 December 2018
eBook ISBN: 978-3-030-00416-3Published: 05 December 2018
Edition Number: 1
Number of Pages: XIV, 124
Number of Illustrations: 60 b/w illustrations, 1 illustrations in colour
Topics: Mathematical and Computational Engineering, Differential Geometry, Global Analysis and Analysis on Manifolds
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