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
Author(s): Alan Stevens, Anton Tikhonov, Valery Ochkov
Publisher: CRC Press/Chapman & Hall
Year: 2022
Language: English
Pages: 428
City: Boca Raton
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
