Linear Algebra with Python: Modern Computational Approaches
About this ebook
Each topic is explained in depth, enriched by the author's extensive experience in research and teaching. Beyond classical methods, the book introduces innovative concepts, such as the Inverse Relationship Theorem and the alpha-method for tackling indeterminate systems, providing readers with powerful new tools for problem-solving.
Designed for diverse learning environments, such as classroom instruction, online courses, or self-study, the book combines rigorous theory with practical applications. Python code examples are integrated throughout, allowing readers to see how mathematical concepts translate directly into formulas, numerical results, and visualizations.
Readers are encouraged to experiment with the code to deepen understanding and develop their own solutions for related problems. Presented in Jupyter Notebook format, this book seamlessly unites theoretical explanations, mathematical formulations, and executable code in a single interactive document. This creates an engaging environment for learning, practicing, and exploring concepts in real time. Heavy lifting in formula derivation and number crunching is handled by the computer, allowing readers to focus more on understanding the concepts.
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About the author
Dr. G.R. (Gui-Rong) Liu is an expert in computational mechanics and numerical methods, currently serving as a Professor of Aerospace Engineering and Engineering Mechanics at the University of Cincinnati. A prolific researcher and educator, Dr. Liu is recognized for pioneering meshfree methods, smoothed finite element methods (S-FEM), and smoothed particle hydrodynamics (SPH). These innovations have significantly advanced simulation techniques in both solid and fluid mechanics.
In recent years, Dr. Liu has authored several textbooks and reference works for courses and research in areas such as artificial intelligence, machine learning, mathematics, computational methods, mechanics of materials, solid mechanics, engineering mechanics, applied mechanics, and fluid dynamics.
