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Calculus with Curvilinear Coordinates [electronic resource] : Problems and Solutions / by Markus Antoni.

By: Antoni, Markus [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIV, 124 p. 61 illus., 1 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030004163.Subject(s): Engineering mathematics | Engineering—Data processing | Geometry, Differential | Global analysis (Mathematics) | Manifolds (Mathematics) | Mathematical and Computational Engineering Applications | Differential Geometry | Global Analysis and Analysis on ManifoldsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
Arc Length and Tangent Vector -- Differentiation of Field Quantities -- Work, Line Integral and Potential -- Integral Theorems of Vector Analysis.
In: Springer Nature eBookSummary: 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.
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Arc Length and Tangent Vector -- Differentiation of Field Quantities -- Work, Line Integral and Potential -- Integral Theorems of Vector Analysis.

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.

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