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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]
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
    • 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]
    1. Vectors: Vector geometry, dot products, lines, and planes.
    2. Systems of Linear Equations: Gauss-Jordan elimination and spanning sets.
    3. Matrices: Matrix algebra, inverses, and the LU factorization.
    4. Eigenvalues and Eigenvectors: Diagonalization, determinants, and the QR algorithm.
    5. Orthogonality: Orthogonal complements, the Gram-Schmidt process, and least-squares.
    6. Vector Spaces: Linear independence, bases, dimension, and linear transformations.
    7. Distance and Approximation: Inner product spaces and singular value decomposition (SVD).
    8. Codes: Applications to coding theory and cryptography. [1, 2, 3]
🔍 Publication & Identification Details
  • Publisher: Cengage Learning.
  • Standard Print ISBN: 979-8214013053.
  • Digital/eTextbook ISBN: 979-8214419312.
  • International Edition ISBN: 979-8214405896.
  • Digital Platform Support: Fully integrated with WebAssign for algorithmic homework, practice problems, and learning objectives. [1, 2, 3, 4]

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