Algebra and Geometry with Python

ISBN-13: 9783030615437 / Angielski / Miękka / 2022 / 444 str.

Sergei Kurgalin; Sergei Borzunov

Recenzje

"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)

Spis treści

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.

O autorze

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.

Blurb

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 graduate students and advanced undergraduate students in computer science.