CRC Press/Chapman & Hall, 2022. — 644 p. — ISBN 9781003228356.
STEM Problems with Mathcad and Python seeks to remove the fear of tackling difficult scientific and technical calculations for future mathematicians, engineers, scientists, and other STEM researchers. The authors hope to show that such calculations can be not only useful, but that the process of learning how to do them can be enjoyable, especially with the help of Mathcad and Python programming skills. The book will also illustrate how the use of modern computer software allows one to significantly expand the range of problems considered beyond those conventionally taught. This includes computational experiments, multivariate calculations, inverse problems and optimization problems, with both static and animated visual feedback.
Portrait of the Roots of the System of Equations
Oval and Ellipse
Reading Fiction and Solving Linear Equations
Trust but Verify
Comet of 1811: Check Harmony with Algebra
Running along the Route given by Pierre de Fermat, or Geometric Optics
Patterns on a Complex Plane
Rectangle Mappings on the Complex Plane
Monte-Carlo: Shapes and Ships
Pseudo-Parallelism
A Catenary: To Step or Ride Over?
Round and Round
Iterations and Fractal Sets of Mandelbrot and Julia
Water Digital Twin: Cloud Functions, Correct Temperature Units
Hydropower Thoughts and Calculations when Looking at a Banknote or Spline Interpolation
Cellular Automatons
Arrays and Images
Three Circles Tied with an Elastic Band or New Pendulum