Computational Algebra: Theory and Applications with Python

Unlock the profound depth of computational algebra with this comprehensive and cutting-edge resource. Designed for mathematicians, computer scientists, and advanced students, this book delves into the algorithmic aspects of algebraic structures and their wide-ranging applications.

Key Features:

Comprehensive Coverage: Explore 66 meticulously crafted chapters, each focusing on a specific concept within computational algebra, from algorithmic foundations to advanced applications in quantum field theory and tropical geometry. Practical Python Implementations: Benefit from extensive Python code examples that bring complex algebraic concepts to life, facilitating a hands-on understanding of algorithms and their implementations. Interdisciplinary Applications: Discover how computational algebra intersects with various fields such as cryptography, machine learning, topological data analysis, and more. In-Depth Algorithms: Gain insights into efficient algorithms for integer factorization, Gröbner bases, elliptic curves, and homological algebra, among others. Innovative Perspectives: Stay ahead with the latest advancements and innovative computational techniques that push the boundaries of traditional algebra. Whether you're seeking to deepen your knowledge in computational methods or apply algebraic techniques to solve real-world problems, this book is an indispensable resource that bridges theory and practice.