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© 2020

Applications of Vector Analysis and Complex Variables in Engineering

Textbook
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Table of contents

  1. Front Matter
    Pages i-xiv
  2. Otto D. L. Strack
    Pages 1-9
  3. Otto D. L. Strack
    Pages 10-17
  4. Otto D. L. Strack
    Pages 18-44
  5. Otto D. L. Strack
    Pages 45-50
  6. Otto D. L. Strack
    Pages 85-109
  7. Otto D. L. Strack
    Pages 110-159
  8. Otto D. L. Strack
    Pages 160-178
  9. Otto D. L. Strack
    Pages 179-190
  10. Otto D. L. Strack
    Pages 203-206
  11. Back Matter
    Pages 207-216

About this book

Introduction

This textbook presents the application of mathematical methods and theorems to solve engineering problems, rather than focusing on mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for engineering students, who generally think quite differently than students of mathematics. The objective is to emphasize mathematical methods and applications, rather than emphasizing general theorems and principles, for which the reader is referred to the literature.

Keywords

Tensor analysis Complex variables Material-time derivative Indicial notation Wirtinger calculus Vector analysis Fluid mechanics Linear elasticity Soil mechanics Singularities Discontinuities

Authors and affiliations

  1. 1.CEGE DepartmentUniversity of MinnesotaMINNEAPOLISUSA

About the authors

Dr. Strack received his PhD from the Technical University of Delft, the Netherlands, in 1973. He joined the Department of Civil Engineering of the University of Minnesota in 1974, where he is currently a professor. Dr. Strack is the original developer of the Analytic Element Method, which is a popular method in groundwater modeling. He is the author of the textbook Groundwater Mechanics (Prentice-Hall, 1989) and the textbook Analytical Groundwater Mechanics (Cambridge University Press, 2017), and a chapter on basic groundwater flow equations in Wiley’s forthcoming Water Encyclopedia. He has authored 44 refereed papers in major journals, is the third recipient of the Lifetime Achievement Award, granted by the Minnesota Groundwater Association, and is a correspondent (foreign  member) of the Royal Dutch Academy of Sciences. He is the author of the computer programs SLAEM and MLAEM, used for describing groundwater flow.

Professor Strack has taught groundwater flow and mathematics for engineers for over 45 years and has many years of experience as a consultant.

Bibliographic information

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