Table of Contents

Matrices and Matrix Algorithms.- Matrix Algebra.- Systems of Linear Equations.- Complex Numbers and Matrices.- Vector Spaces.- Vectors in a Three-Dimensional Space.- Equation of a Straight Line on a Plane.- Equation of a Plane in Space.- Equation of a Line in Space.- Bilinear and Quadratic Forms.- Curves of the Second-Order.- Elliptic Curves.- Appendix A, Basic Operators in Python and C.- Appendix B, Trigonometric Formulae.- Appendix C, The Greek Alphabet.- References.- Name Index.- Subject Index.

About the Author

Sergei Kurgalin and Sergei Borzunov have taught courses such as Parallel Programming, Technologies of Parallel Computing, Parallel and Grid Technologies, and Parallel Data Processing Algorithms at bachelor's and master's level over many years at Voronezh State University, and they have authored a number of related textbooks.

Reviews

“This is an introduction to elementary linear algebra and analytical geometry with some code snippets and references to performing computations in Python - suitable for a first-year course for STEM students. … Each chapter starts with the text developing the material, with concrete examples and worked calculations. … The book also includes three appendices: very bare-bones intro to Python, a trigonometry cheat sheet, and the Greek alphabet.”  (Mikael Vejdemo-Johansson, SIGACT News, Vol. 55 (1), 2024) “It is most interesting to combine a classical mathematical topic with a new evolving programming language and exactly this is obtained by this book. … This material is used as a case study for their implementation for solving problems in theoretical and practical cryptography. The ‘roadmap’ of the content of this also quite interesting.” (Panayiotis Vlamos, zbMATH 1480.00002, 2022)