Linear Algebra A Modern Introduction 5th Edition By David Poole
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- Pages
- 660
- File size
- 21.53 MB
- Format
- Digital PDF
- Course
- Algebra
- Category
- eBook[PDF]
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About this ebook
Linear Algebra: A Modern Introduction (5th Edition) by David Poole is a highly regarded undergraduate textbook published by Cengage Learning. This edition builds mathematical maturity by bridging the gap between computational techniques and abstract theoretical concepts. [1, 2, 3]
💡 Core Methodology
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- Geometric-First Approach: Introduces vectors and vector geometry early so you can visualize concepts before diving into matrix operations. [1, 2]
- Conversational Tone: Written in an accessible style that integrates applied, theoretical, and computational topics seamlessly. [1]
- Real-World Applications: Features examples drawn from diverse disciplines like computer science, engineering, and economics to highlight the utility of linear algebra in modern technologies like AI and machine learning. [1, 2, 3, 4, 5]
📘 Table of Contents
The 5th Edition spans 8 comprehensive chapters: [1]
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- Vectors: Vector geometry, dot products, lines, and planes.
- Systems of Linear Equations: Gauss-Jordan elimination and spanning sets.
- Matrices: Matrix algebra, inverses, and the LU factorization.
- Eigenvalues and Eigenvectors: Diagonalization, determinants, and the QR algorithm.
- Orthogonality: Orthogonal complements, the Gram-Schmidt process, and least-squares.
- Vector Spaces: Linear independence, bases, dimension, and linear transformations.
- Distance and Approximation: Inner product spaces and singular value decomposition (SVD).
- Codes: Applications to coding theory and cryptography. [1, 2, 3]
🔍 Publication & Identification Details
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21.53 MB