Linear Algebra From Zero to Advanced Methods

Linear Algebra: From Zero to Advanced Methods
English | May 9, 2026 | ASIN: B0H13VKSHM | 1181 pages | Epub | 1.93 MB
THE DEFINITIVE LINEAR ALGEBRA TEXTBOOK - FROM FIRST PRINCIPLES TO RESEARCH-LEVEL METHODSNearly 1,000 pages of clear explanations, intuitive geometry, and rigorous theory - your complete companion from secondary school through graduate study and beyond.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.WHAT YOU WILL LEARN:* Foundations: Vectors, matrices, systems of equations, and Gaussian elimination* Core Theory: Vector spaces, linear maps, determinants, eigenvalues, and orthogonality* Inner Products & Projections: Gram-Schmidt, QR decomposition, and least squares* Decompositions: LU, QR, SVD, Cholesky, and the spectral theorem* Canonical Forms: Jordan normal form, diagonalisation, and matrix functions* Numerical Methods: Computational linear algebra, iterative solvers, and stability analysis* Applications: Data science, machine learning, signal processing, optimisation, physics, and engineeringWHY THIS BOOK STANDS OUT: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.USE THE "LOOK INSIDE" FEATURE to preview the table of contents, introduction, and sample chapters before you buy.Published by the Scottish Science Society -www.scottishsciencesociety.orgTHEDEFINITIVE LINEAR ALGEBRA TEXTBOOK - FROM FIRST PRINCIPLES TO RESEARCH-LEVEL METHODSNearly 1,000 pages of clear explanations, intuitive geometry, and rigorous theory - your complete companion from secondary school through graduate study and beyond.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.WHAT YOU WILL LEARN:* Foundations: Vectors, matrices, systems of equations, and Gaussian elimination Core Theory: Vector spaces, linear maps, determinants, eigenvalues, and orthogonality Inner Products & Projections: Gram-Schmidt, QR decomposition, and least squares* Decompositions: LU, QR, SVD, Cholesky, and the spectral theorem* Canonical Forms: Jordan normal form, diagonalisation, and matrix functions* Numerical Methods: Computational linear algebra, iterative solvers, and stability analysis* Applications: Data science, machine learning, signal processing, optimisation, physics, and engineeringWHY THIS BOOK STANDS OUT: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.USE THE "LOOK INSIDE" FEATURE to preview the table of contents, introduction, and sample chapters before you buy.Published by the Scottish Science Society -www.scottishsciencesociety.org