Lecture Notes on Linear Algebra: From Concrete Matrices to Abstract Structures

· Maths Learning Centre, Jalandhar
5.0
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Ebook
233
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About this ebook

Dive into the fascinating world of linear algebra with Lecture Notes on Linear Algebra: From Concrete Matrices to Abstract Structures by Dr. Pranav Sharma. This comprehensive guide, crafted for students, educators, and enthusiasts, bridges the gap between foundational matrix operations and advanced abstract algebraic structures. Spanning 30 meticulously structured lectures, the book covers essential topics such as matrix rank, elementary transformations, linear systems, vector spaces, bases, dimensions, linear transformations, and Jordan Normal Form. It also explores advanced concepts like inner product spaces, orthogonality, quadratic forms, and Hermitian forms, making it an invaluable resource for both undergraduate and graduate students.

With clear explanations, rigorous proofs, and practical examples, this text transforms complex mathematical concepts into accessible insights. Each lecture builds progressively, supported by solved problems and practice questions to reinforce understanding. Whether you're preparing for competitive exams or seeking a deeper understanding of linear algebra’s theoretical and applied aspects, this book is an essential companion.

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5.0
2 reviews

About the author

Dr. Pranav Sharma, PhD, is a distinguished mathematician and educator at the Maths Learning Centre in Jalandhar, India, with a doctorate in topological algebra. His research on abstract mathematical structures has led to numerous peer-reviewed publications and international conference awards. Dedicated to teaching, he mentors students for competitive exams, creating clear, engaging educational materials, as showcased in this book. 

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