Principles of Linear Algebra with Mathematica (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

**** "Principles of Linear Algebra with Mathematica" has been warmly received by readers, particularly those from engineering and mathematical backgrounds who are eager to merge theoretical knowledge with practical skills. The book excels in presenting linear algebra in a conversational tone, which makes complex concepts more digestible, especially for self-learners. One of its standout features is the integration of Mathematica, a powerful computer algebra system. This not only helps in solving challenging problems but also serves as an invaluable tool for visualizing and understanding linear algebra concepts through practical application. The authors, Shiskowski and Frinkle, strike a commendable balance between theory and application. Their approach fosters independence in students by encouraging them to work through proofs and understand the material deeply. The downloadable Mathematica code accessible via the companion website adds further value, enabling students to apply what they've learned in a hands-on manner. Additionally, the comprehensive solutions manual aids in reinforcing the learning process with step-by-step explanations of complex problems. While the book is primarily theoretical and may be perceived as such, it remains versatile enough for practical-minded readers who are treated to “neat little hacks” in Mathematica programming. However, some reviewers felt the book could benefit from greater focus on matrix manipulations and calculations, suggesting that while it is well-rounded, it leans slightly more towards theoretical discussions. Overall, "Principles of Linear Algebra with Mathematica" is recommended for those looking to unlock the intricate relationship between linear algebra and computational techniques. It’s particularly beneficial for students who want a solid footing in both disciplines without the fluff that typically inflates the price of academic texts. **