Artículos relacionados a Linear Algebra: A Modern Introduction
Sinopsis
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.
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Críticas
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.
Reseña del editor
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Linear Algebra: A Modern Introduction
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Brooks/Cole, 2011
ISBN 10: 0538735449
ISBN 13: 9780538735445
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Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1400grams, ISBN:9780538735445. Nº de ref. del artículo: 9151818
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Linear Algebra: A Modern Introduction
Publicado por
Brooks/Cole, 2011
ISBN 10: 0538735449
ISBN 13: 9780538735445
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Librería: Anybook.com, Lincoln, Reino Unido
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Linear Algebra
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Paperback. Condición: Very Good. Linear Algebra This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Nº de ref. del artículo: 7719-9780538735445
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Linear Algebra
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Paperback. Condición: Very Good. This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Nº de ref. del artículo: 6545-9780538735445
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Linear Algebra: A Modern Introduction (Third Edition)
Publicado por
Brooks/Cole, 2011
ISBN 10: 0538735449
ISBN 13: 9780538735445
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Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1400grams, ISBN:9780538735445. Nº de ref. del artículo: 9436817
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Linear Algebra: A Modern Introduction (Third Edition)
Publicado por
Brooks/Cole, 2011
ISBN 10: 0538735449
ISBN 13: 9780538735445
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Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1400grams, ISBN:9780538735445. Nº de ref. del artículo: 9436819
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Linear Algebra: A Modern Introduction (Third Edition)
Publicado por
Brooks/Cole, 2011
ISBN 10: 0538735449
ISBN 13: 9780538735445
Antiguo o usado
Tapa blanda
Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1400grams, ISBN:9780538735445. Nº de ref. del artículo: 9436818
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Linear Algebra A Modern Introduction
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Condición: Good. Has moderate shelf wear, highlighting, underlining and/or writing. Great used condition. A portion of your purchase of this book will be donated to non-profit organizations.Over 1,000,000 satisfied customers since 1997! Choose expedited shipping (if available) for much faster delivery. Delivery confirmation on all US orders. Nº de ref. del artículo: 10783742
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