Calculus with Curvilinear Coordinates

Problems and Solutions

  • Markus¬†Antoni

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Markus Antoni
    Pages 1-38
  3. Markus Antoni
    Pages 39-56
  4. Markus Antoni
    Pages 57-74
  5. Markus Antoni
    Pages 75-122
  6. Back Matter
    Pages 123-124

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.


Vector analysis Parabolic Ellipsoida Parametrization of Curves Orthoonal Coordinates Teaching engineering mathematics Calculus for engineering

Authors and affiliations

  • Markus¬†Antoni
    • 1
  1. 1.Institute of GeodesyUniversity of StuttgartStuttgartGermany

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-00415-6
  • Online ISBN 978-3-030-00416-3
  • Buy this book on publisher's site