Symbolic Mathematics with Python

This book provides a hands-on approach to computer symbolic computation using the elementary commands of Python. Symbolic computer mathematics is the study of algorithms that can be implemented as computer programs which provide exact results rather than numerical approximations. The author begins by discussing Python essentials an number theory. Then, the book covers the simplification and evaluation of expressions involving multivariate rational functions, the exact solutions of systems of linear equations, and applications of polynomial algebra. Programs in symbolic differentiation and indefinite integration programs are also developed.

List of contents

Python Essentials.- Number Theory.- Rational Arithmetic.- Matrix Algebra.- Polynomial Algebra.- Polynomial Applications.- Multivariate Rational Algebra.- Differentiation.- Integration.

About the author

Hugo D. Junghenn, Ph.D., is Emeritus Professor of Mathematics at George Washington University. He has previously served as the chair of the Department of Mathematics. Dr. Junghenn has written papers in the areas of functional analysis and topological semigroups, books in analysis, and a recent book on programming discrete mathematics.

Summary

This book provides a hands-on approach to computer symbolic computation using the elementary commands of Python. Symbolic computer mathematics is the study of algorithms that can be implemented as computer programs which provide exact results rather than numerical approximations. The author begins by discussing Python essentials an number theory. Then, the book covers the simplification and evaluation of expressions involving multivariate rational functions, the exact solutions of systems of linear equations, and applications of polynomial algebra. Programs in symbolic differentiation and indefinite integration programs are also developed.

Product details

• Authors: Hugo D Junghenn, Hugo D. Junghenn
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Release: 08.09.2025
• EAN: 9783031905216
• ISBN: 978-3-0-3190521-6
• No. of pages: 150
• Illustrations: Approx. 150 p.
• Series: Synthesis Lectures on Mathematics & Statistics
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > IT; Mathematik, Zahlentheorie, python, Theoretische Informatik, Numerische Mathematik, Mathematics, Mathematical Applications in Computer Science, Mathematics of Computing, Number Theory, Computational Mathematics and Numerical Analysis, Symbolic and Algebraic Manipulation, computational number theory, computer algebra, Rational Arithmetic, Computer Symbolic Computation