STEM Problems with Mathcad and Python

by Alan Stevens, Anton Tikhonov, Valery Ochkov

Length: 416 pages
Edition: 1
Language: English
Publisher: Chapman and Hall/CRC
Publication Date: 2022-12-09
ISBN-10: 1032131659
ISBN-13: 9781032131658
Sales Rank: #0 (See Top 100 Books)

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

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Author
Introduction
Chapter 1 Portrait of the Roots of the System of Equations
	TASK FOR THE READER
Chapter 2 Oval and Ellipse
	TASKS TO THE READER
Chapter 3 Reading Fiction and Solving Linear Equations
	TASKS FOR THE READER
Chapter 4 Trust but Verify
	TASKS FOR THE READER
	REFERENCES
Chapter 5 Comet of 1811: Check Harmony with Algebra
	5.1 END OF THE REMARK
	5.2 A LITTLE MORE ABOUT ELLIPSE, PARABOLA AND HYPERBOLA OR SECOND-ORDER CONICAL BEETLE
	TASK FOR THE READER
	REFERENCE
Chapter 6 Running along the Route given by Pierre de Fermat, or Geometric Optics
	6.1 THE TALE OF THE CLEVER HARE
	6.2 MATRIX OPTICS
	6.3 FREE SPACE
	6.4 SPHERICAL SURFACE
	6.5 BICONVEX LENS
	6.6 GLASS BALL
	6.7 THICK-WALLED GLASS SPHERE
	6.8 CONCLUSIONS
	TASK FOR THE READER
Chapter 7 Patterns on a Complex Plane
	TASKS FOR THE READER
	REFERENCES
Chapter 8 Rectangle Mappings on the Complex Plane
	TASKS FOR THE READER
	REFERENCE
Chapter 9 Monte-Carlo: Shapes and Ships
	9.1 CARDIOID
	9.2 MANDELBROT SET
	9.3 BATTLESHIPS
	TASKS FOR THE READER
Chapter 10 Pseudo-Parallelism
	10.1 EXAMPLE 1. SORTING
	10.2 EXAMPLE 2. THE PURSUIT PROBLEM
	10.3 EXAMPLE 3. PANDEMIC
	TASKS FOR READERS
Chapter 11 A Catenary: To Step or Ride Over?
	ASSIGNMENT TO THE READER
Chapter 12 Round and Round
	TASKS FOR THE READER
	REFERENCES
Chapter 13 Iterations and Fractal Sets of Mandelbrot and Julia
	QUESTIONS AND TASKS
	REFERENCES
Chapter 14 Water Digital Twin: Cloud Functions, Correct Temperature Units
	14.1 AFTERWORD WITH THE TITLE P v= T
Chapter 15 Hydropower Thoughts and Calculations when Looking at a Banknote or Spline Interpolation
	TASK FOR READERS
	REFERENCES
Chapter 16 Cellular Automatons
	QUESTIONS AND TASKS
	REFERENCES
Chapter 17 Arrays and Images
	QUESTIONS AND TASKS FOR THE READER
	REFERENCES
Chapter 18 Three Circles Tied with an Elastic Band or New Pendulum
	18.1 AFTERWORD ON NONLINEARITY
	TASKS FOR READERS
INDEX