STEM Problems with Mathcad and Python

Valery Ochkov, Alan Stevens, Anton Tikhonov

• Publisher: Chapman and Hall/CRC
• Year: 2022
• Print ISBN: 9781032131658
• eBook ISBN: 9781000736021
• Topic: Computer Science
• Subtopic: Computer Engineering
• Index: Computer Science

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.

Features

• Suitable for undergraduates and early postgraduates who need simple and accessible guidance for solving practical interdisciplinary technical problems
• Can be used as an additional textbook in a variety of topics, including Calculus, Linear Algebra, Analytical Geometry, Discrete Mathematics, Computer Science, Computational Mathematics, Scientific Visualization, Computer Graphics
• Gives computer users access to an exciting new hobby - solving complex problems described in fiction

Table of contents

• Cover
• Half Title Page
• Title Page
• Copyright Page
• Table of Contents
• Preface
• Authors
• Introduction
• Chapter 1 ▪ Portrait of the Roots of the System of Equations
• Chapter 2 ▪ Oval and Ellipse
• Chapter 3 ▪ Reading Fiction and Solving Linear Equations
• Chapter 4 ▪ Trust but Verify
• Chapter 5 ▪ Comet of 1811: Check Harmony with Algebra
• Chapter 6 ▪ Running along the Route given by Pierre de Fermat, or Geometric Optics
• Chapter 7 ▪ Patterns on a Complex Plane
• Chapter 8 ▪ Rectangle Mappings on the Complex Plane
• Chapter 9 ▪ Monte-Carlo: Shapes and Ships
• Chapter 10 ▪ Pseudo-Parallelism
• Chapter 11 ▪ A Catenary: To Step or Ride Over?
• Chapter 12 ▪ Round and Round
• Chapter 13 ▪ Iterations and Fractal Sets of Mandelbrot and Julia
• Chapter 14 ▪ Water Digital Twin: Cloud Functions, Correct Temperature Units
• Chapter 15 ▪ Hydropower Thoughts and Calculations when Looking at a Banknote or Spline Interpolation
• Chapter 16 ▪ Cellular Automatons
• Chapter 17 ▪ Arrays and Images
• Chapter 18 ▪ Three Circles Tied with an Elastic Band or New Pendulum
• Index