Computational & Algorithmic Linear Algebra by Katta Murty
About this book :-
"Computational and Algorithmic Linear Algebra and n-Dimensional Geometry" by Katta G. Murty is a practical and application-focused textbook that presents linear algebra through a computational lens. Instead of emphasizing abstract proofs, the book concentrates on how linear algebra concepts are "used in practice", especially in solving real-world problems. It is written in a clear, student-friendly style that supports self-learning and logical understanding.
The book systematically develops core ideas such as matrices, vectors, systems of linear equations, and transformations, while constantly linking them to "algorithms" and computational procedures. A strong emphasis is placed on "n-dimensional geometry", helping readers visualize and interpret algebraic concepts beyond two and three dimensions. Numerous worked examples and exercises reinforce learning and demonstrate how theory translates into computation.
This text is especially valuable for undergraduate students in mathematics, engineering, computer science, and operations research. It builds a solid foundation for advanced subjects like optimization, data analysis, and numerical methods. By blending theory with "problem-solving", the book enables readers to think algorithmically and apply linear algebra confidently in academic and professional contexts.
Book Detail :-
Title:
Computational & Algorithmic Linear Algebra by Katta Murty
Publisher:
Katta G. Murty
Year:
2001
Pages:
554
Type:
PDF
Language:
English
ISBN-10 #:
9814366625
ISBN-13 #:
978-9814366625
License:
External Educational Resource
Amazon:
Amazon
About Author :-
The author
Katta G. Murty
is a renowned academic known for his work in "operations research", "optimization", and "computational mathematics". He is a Professor Emeritus at the University of Michigan, where he taught industrial and operations engineering for many years. His academic background includes a PhD from the University of California, Berkeley, and mentorship under leading figures in mathematical optimization. Murty is widely respected for combining theory with "algorithmic thinking" and real-world "problem-solving". His textbooks, including "Computational and Algorithmic Linear Algebra and n-Dimensional Geometry", reflect his teaching philosophy—making complex mathematical ideas accessible, practical, and relevant for students in engineering, mathematics, and computer science.
Book Contents :-
1. Systems of Simultaneous Linear Equations
2. Matrices, Matrix Arithmetic, Determinants
3. n-Dimensional Geometry
4. Numerical Linear Algebra
5. Quadratic Forms, Positive, Negative (Semi) Definiteness
6. Eigen Values, Eigen Vectors, and Matrix Diagonalization
7. Software Systems for Linear Algebra Problems
Solutions manual for all the Exercises
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