Algebra and Geometry with Python

Sergei Kurgalin, Sergei Borzunov

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English

Springer Nature Switzerland AG
19 January 2021

Geometry; Programming & scripting languages: general; Maths for computer scientists

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.

By: Sergei Kurgalin, Sergei Borzunov
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 1st ed. 2021
Dimensions: Height: 235mm, Width: 155mm,
Weight: 828g
ISBN: 9783030615406
ISBN 10: 3030615405
Pages: 425
Publication Date: 19 January 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

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 for Algebra and Geometry with Python

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)