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Linear Algebra: A Modern Introduction 3rd International Ed. Poole David PB
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Located in: Lancaster, Pennsylvania, United States
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eBay item number:174297743561
Item specifics
- Condition
- ISBN
- 9780538735445
About this product
Product Identifiers
Publisher
Cengage South-Western
ISBN-10
0538735449
ISBN-13
9780538735445
eBay Product ID (ePID)
219573787
Product Key Features
Number of Pages
768 Pages
Publication Name
Linear Algebra : a Modern Introduction
Language
English
Subject
Algebra / Linear
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
1.3 in
Item Weight
47.3 Oz
Item Length
9.8 in
Item Width
8 in
Additional Product Features
Edition Number
3
Reviews
1. VECTORS.Introduction: The Racetrack Game. The Geometry and Algebra of Vectors. Length and Angle: The Dot Product. Exploration: Vectors and Geometry. Lines and Planes. Exploration: The Cross Product. Applications: Force Vectors; Code Vectors. Vignette: The Codabar System.2. SYSTEMS OF LINEAR EQUATIONS.Introduction: Triviality. Introduction to Systems of Linear Equations. Direct Methods for Solving Linear Systems. Exploration: Lies My Computer Told Me. Exploration: Partial Pivoting. Exploration: Counting Operations: An Introduction to the Analysis of Algorithms. Spanning Sets and Linear Independence. Applications: Allocation of Resources; Balancing Chemical Equations; Network Analysis; Electrical Networks; Linear Economic Models; Finite Linear Games. Vignette: The Global Positioning System. Iterative Methods for Solving Linear Systems.3. MATRICES.Introduction: Matrices in Action. Matrix Operations. Matrix Algebra. The Inverse of a Matrix. The LU Factorization. Subspaces, Basis, Dimension, and Rank. Introduction to Linear Transformations. Vignette: Robotics. Applications: Markov Chains; Linear Economic Models; Population Growth; Graphs and Digraphs; Error-Correcting Codes.4. EIGENVALUES AND EIGENVECTORS.Introduction: A Dynamical System on Graphs. Introduction to Eigenvalues and Eigenvectors. Determinants. Vignette: Lewis Carroll's Condensation Method. Exploration: Geometric Applications of Determinants. Eigenvalues and Eigenvectors of n x n Matrices. Similarity and Diagonalization. Iterative Methods for Computing Eigenvalues. Applications and the Perron-Frobenius Theorem: Markov Chains; Population Growth; The Perron-Frobenius Theorem; Linear Recurrence Relations; Systems of Linear Differential Equations; Discrete Linear Dynamical Systems.Vignette: Ranking Sports Teams and Searching the Internet.5. ORTHOGONALITY.Introduction: Shadows on a Wall. Orthogonality in Rn. Orthogonal Complements and Orthogonal Projections. The Gram-Schmidt Process and the QR Factorization. Exploration: The Modified QR Factorization. Exploration: Approximating Eigenvalues with the QR Algorithm. Orthogonal Diagonalization of Symmetric Matrices. Applications: Dual Codes; Quadratic Forms; Graphing Quadratic Equations.6. VECTOR SPACES.Introduction: Fibonacci in (Vector) Space. Vector Spaces and Subspaces. Linear Independence, Basis, and Dimension. Exploration: Magic Squares. Change of Basis. Linear Transformations. The Kernel and Range of a Linear Transformation. The Matrix of a Linear Transformation. Exploration: Tilings, Lattices and the Crystallographic Restriction. Applications: Homogeneous Linear Differential Equations; Linear Codes.7. DISTANCE AND APPROXIMATION.Introduction: Taxicab Geometry. Inner Product Spaces. Exploration: Vectors and Matrices with Complex Entries. Exploration: Geometric Inequalities and Optimization Problems. Norms and Distance Functions. Least Squares Approximation. The Singular Value Decomposition. Vignette: Digital Image Compression. Applications: Approximation of Functions; Error-Correcting Codes.Appendix A: Mathematical Notation and Methods of Proof.Appendix B: Mathematical Induction.Appendix C: Complex Numbers.Appendix D: Polynomials.
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
512/.5
Table Of Content
1. VECTORS.Introduction: The Racetrack Game. The Geometry and Algebra of Vectors. Length and Angle: The Dot Product. Exploration: Vectors and Geometry. Lines and Planes. Exploration: The Cross Product. Applications: Force Vectors; Code Vectors. Vignette: The Codabar System.2. SYSTEMS OF LINEAR EQUATIONS.Introduction: Triviality. Introduction to Systems of Linear Equations. Direct Methods for Solving Linear Systems. Exploration: Lies My Computer Told Me. Exploration: Partial Pivoting. Exploration: Counting Operations: An Introduction to the Analysis of Algorithms. Spanning Sets and Linear Independence. Applications: Allocation of Resources; Balancing Chemical Equations; Network Analysis; Electrical Networks; Linear Economic Models; Finite Linear Games. Vignette: The Global Positioning System. Iterative Methods for Solving Linear Systems.3. MATRICES.Introduction: Matrices in Action. Matrix Operations. Matrix Algebra. The Inverse of a Matrix. The LU Factorization. Subspaces, Basis, Dimension, and Rank. Introduction to Linear Transformations. Vignette: Robotics. Applications: Markov Chains; Linear Economic Models; Population Growth; Graphs and Digraphs; Error-Correcting Codes.4. EIGENVALUES AND EIGENVECTORS.Introduction: A Dynamical System on Graphs. Introduction to Eigenvalues and Eigenvectors. Determinants. Vignette: Lewis Carroll's Condensation Method. Exploration: Geometric Applications of Determinants. Eigenvalues and Eigenvectors of n x n Matrices. Similarity and Diagonalization. Iterative Methods for Computing Eigenvalues. Applications and the Perron-Frobenius Theorem: Markov Chains; Population Growth; The Perron-Frobenius Theorem; Linear Recurrence Relations; Systems of Linear Differential Equations; Discrete Linear Dynamical Systems.Vignette: Ranking Sports Teams and Searching the Internet.5. ORTHOGONALITY.Introduction: Shadows on a Wall. Orthogonality in Rn. Orthogonal Complements and Orthogonal Projections. The Gram-Schmidt Process and the QR Factorization. Exploration: The Modified QR Factorization. Exploration: Approximating Eigenvalues with the QR Algorithm. Orthogonal Diagonalization of Symmetric Matrices. Applications: Dual Codes; Quadratic Forms; Graphing Quadratic Equations.6. VECTOR SPACES.Introduction: Fibonacci in (Vector) Space. Vector Spaces and Subspaces. Linear Independence, Basis, and Dimension. Exploration: Magic Squares. Change of Basis. Linear Transformations. The Kernel and Range of a Linear Transformation. The Matrix of a Linear Transformation. Exploration: Tilings, Lattices and the Crystallographic Restriction. Applications: Homogeneous Linear Differential Equations; Linear Codes.7. DISTANCE AND APPROXIMATION.Introduction: Taxicab Geometry. Inner Product Spaces. Exploration: Vectors and Matrices with Complex Entries. Exploration: Geometric Inequalities and Optimization Problems. Norms and Distance Functions. Least Squares Approximation. The Singular Value Decomposition. Vignette: Digital Image Compression. Applications: Approximation of Functions; Error-Correcting Codes.Appendix A: Mathematical Notation and Methods of Proof.Appendix B: Mathematical Induction.Appendix C: Complex Numbers.Appendix D: Polynomials.
Synopsis
David Poole's innovative book prepares students to make the transition from the computational aspects of the course to the theoretical by emphasizing vectors and geometric intuition from the start. Designed for a one- or two-semester introductory course and written in simple, "mathematical English" the book presents interesting examples before abstraction. This immediately follows up theoretical discussion with further examples and a variety of applications drawn from a number of disciplines, which reinforces the practical utility of the math, and helps students from a variety of backgrounds and learning styles stay connected to the concepts they are learning. Poole's approach helps students succeed in this course by learning vectors and vector geometry first in order to visualize and understand the meaning of the calculations that they will encounter and develop mathematical maturity for thinking abstractly., Designed for a one- or two-semester introductory course and written in simple, 'mathematical English', this book presents interesting examples before abstraction. This immediately follows up theoretical discussion with further examples and a variety of applications drawn from a number of disciplines.
LC Classification Number
QA184.2
Item description from the seller
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- _***f (234)- Feedback left by buyer.Past 6 monthsVerified purchaseThis item arrived in a well marked shipping container (the item was glass). Inside the shipping container, a carefully wrapped coffee pot was tucked into several layers to ensure its safe arrival. The pot meets all the criteria of the described condition in the original listing. I really appreciate the value of the private offer! Thank you for your EBay business!FIESTA BLACK COFFEE SERVER Retired in 2001 Onyx (#175992430651)
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- 2***a (310)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat eapg piece, very beautiful, no damage as described or better, a good price for a rare piece,fast shipping and excellent packaging, all as expected from this excellent seller. Outstanding as always, never disappoints, fantastic quality, if you can’t tell, I highly recommend them. A+++EAPG Tarentum Glass MADEIRA Handled Celery Vase 1912 Rare (#175566892962)
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Seller feedback (4,069)
- _***f (234)- Feedback left by buyer.Past 6 monthsVerified purchaseThis item arrived in a well marked shipping container (the item was glass). Inside the shipping container, a carefully wrapped coffee pot was tucked into several layers to ensure its safe arrival. The pot meets all the criteria of the described condition in the original listing. I really appreciate the value of the private offer! Thank you for your EBay business!FIESTA BLACK COFFEE SERVER Retired in 2001 Onyx (#175992430651)
- _***_ (26)- Feedback left by buyer.Past monthVerified purchaseReceived quickly. Carefully packed with ample protection so that it arrived undamaged. Item matches picture and description. Great price to help fill in my collection. Thank you!
- 2***a (310)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat eapg piece, very beautiful, no damage as described or better, a good price for a rare piece,fast shipping and excellent packaging, all as expected from this excellent seller. Outstanding as always, never disappoints, fantastic quality, if you can’t tell, I highly recommend them. A+++EAPG Tarentum Glass MADEIRA Handled Celery Vase 1912 Rare (#175566892962)