Linear Algebra A Modern Introductionby Poole, David
Complimentary 7-Day eTextbook Access
When you rent or buy this book, you will receive complimentary 7-day online access to the eTextbook version from your PC, Mac, tablet, or smartphone. Feature not included on Marketplace Items.
Questions About This Book?
Why should I rent this book?
Renting is easy, fast, and cheap! Renting from eCampus.com can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.
How do rental returns work?
Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!
What version or edition is this?
This is the 3rd edition with a publication date of 5/25/2010.
What is included with this book?
- The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.
- The Rental copy of this book is not guaranteed to include any supplemental materials. You may receive a brand new copy, but typically, only the book itself.
- The eBook copy of this book is not guaranteed to include any supplemental materials. Typically only the book itself is included.
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.
Table of Contents
|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|
|Vignette: The Codabar System|
|Systems of Linear Equations|
|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|
|Linear Economic Models|
|Finite Linear Games|
|Vignette: The Global Positioning System|
|Iterative Methods for Solving Linear Systems|
|Introduction: Matrices in Action|
|The Inverse of a Matrix|
|The LU Factorization|
|Subspaces, Basis, Dimension, and Rank|
|Introduction to Linear Transformations|
|Applications: Markov Chains|
|Linear Economic Models|
|Graphs and Digraphs|
|Eigenvalues and Eigenvectors|
|Introduction: A Dynamical System on Graphs|
|Introduction to Eigenvalues and Eigenvectors|
|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|
|The Perron-Frobenius Theorem|
|Linear Recurrence Relations|
|Systems of Linear Differential Equations|
|Discrete Linear Dynamical Systems|
|Vignette: Ranking Sports Teams and Searching the Internet|
|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|
|Graphing Quadratic Equations|
|Introduction: Fibonacci in (Vector) Space|
|Vector Spaces and Subspaces|
|Linear Independence, Basis, and Dimension|
|Exploration: Magic Squares|
|Change of Basis|
|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|
|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|
|Mathematical Notation and Methods of Proof|
|Table of Contents provided by Publisher. All Rights Reserved.|