Linear Algebra: From Zero to Advanced Methods, (Paperback)

<b>THE DEFINITIVE LINEAR ALGEBRA TEXTBOOK - FROM FIRST PRINCIPLES TO RESEARCH-LEVEL METHODS</b> <p><i>Nearly 1,000 pages of clear explanations, intuitive geometry, and rigorous theory - your complete companion from secondary school through graduate study and beyond.</i> </p><p>Linear algebra is the language of mathematics and the engine of modern science. This comprehensive treatise takes you on a journey from the very foundations to the frontiers of advanced methods, written for students who begin at secondary-school level and continue through university and beyond. </p><p><b>WHAT YOU WILL LEARN: </b> </p><p>- <b>Foundations: </b> Vectors, matrices, systems of equations, and Gaussian elimination<br>- <b>Core Theory: </b> Vector spaces, linear maps, determinants, eigenvalues, and orthogonality<br>- <b>Inner Products &amp; Projections: </b> Gram-Schmidt, QR decomposition, and least squares<br>- <b>Decompositions: </b> LU, QR, SVD, Cholesky, and the spectral theorem<br>- <b>Canonical Forms: </b> Jordan normal form, diagonalisation, and matrix functions<br>- <b>Numerical Methods: </b> Computational linear algebra, iterative solvers, and stability analysis<br>- <b>Applications: </b> Data science, machine learning, signal processing, optimisation, physics, and engineering </p><p><b>WHY THIS BOOK STANDS OUT: </b> </p><p>Every chapter blends motivation, worked examples, and elegant mathematics. Exercises range from foundational drills to research-level challenges. Whether your goal is mastery for study, research, or application, this book will be a trusted companion at every stage of your journey. </p><p><b>USE THE "LOOK INSIDE" FEATURE</b> to preview the table of contents, introduction, and sample chapters before you buy. </p><p><i>Published by the Scottish Science Society - www.scottishsciencesociety.org</i><b>THE DEFINITIVE LINEAR ALGEBRA TEXTBOOK - FROM FIRST PRINCIPLES TO RESEARCH-LEVEL METHODS</b> </p><p><i>Nearly 1,000 pages of clear explanations, intuitive geometry, and rigorous theory - your complete companion from secondary school through graduate study and beyond.</i> </p><p>Linear algebra is the language of mathematics and the engine of modern science. This comprehensive treatise takes you on a journey from the very foundations to the frontiers of advanced methods, written for students who begin at secondary-school level and continue through university and beyond. </p><p><b>WHAT YOU WILL LEARN: </b> </p><p>- <b>Foundations: </b> Vectors, matrices, systems of equations, and Gaussian elimination<br><b>Core Theory: </b> Vector spaces, linear maps, determinants, eigenvalues, and orthogonality<br><b>Inner Products &amp; Projections: </b> Gram-Schmidt, QR decomposition, and least squares<br>- <b>Decompositions: </b> LU, QR, SVD, Cholesky, and the spectral theorem<br>- <b>Canonical Forms: </b> Jordan normal form, diagonalisation, and matrix functions<br>- <b>Numerical Methods: </b> Computational linear algebra, iterative solvers, and stability analysis<br>- <b>Applications: </b></p>

• Linear Algebra: From Zero to Advanced Methods, (Paperback)
• Author: Independently Published
• ISBN: 9798196190452
• Format: Paperback
• Publication Date: 2026-05-09
• Page Count: 500