Algebra and Geometry with Python

by Sergei Kurgalin, Sergei Borzunov

Overview

This book teaches algebra and geometry. The authors dedicate chapters to the key issues of matrices, linear equations, matrix algorithms, vector spaces, lines, planes, second-order curves, and elliptic curves.

The text is supported throughout with problems, and the authors have included source code in Python in the book. The book is suitable for advanced undergraduate and graduate students in computer science.

Product Details

ISBN-13:	9783030615406
Publisher:	Springer International Publishing
Publication date:	01/19/2021
Edition description:	1st ed. 2021
Pages:	425
Product dimensions:	6.10(w) x 9.25(h) x (d)

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.

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.

Editorial 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)

From the Publisher