MARC details
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03757nam a22002417a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20240502150918.0 |
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240410b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789384323417 |
| 040 ## - CATALOGING SOURCE |
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| Language of cataloging |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.7 |
| Item number |
WIL-L |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Williams, Gareth |
| 245 ## - TITLE STATEMENT |
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| Title |
Linear algebra with applications |
| Statement of responsibility, etc |
by Gareth Williams |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
9th ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New Delhi : |
| Name of publisher, distributor, etc |
Jones & Bartlett Learning, |
| Date of publication, distribution, etc |
©2019 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvii, 594 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 500 ## - GENERAL NOTE |
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| General note |
This book includes an index |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
Chapter 1: Linear Equations and Vectors • Matrices and Systems of Linear Equations • Gauss-Jordan Elimination • The Vector Space Rn • Subspaces of Rn • Basis and Dimension • Dot Product, Norm, Angle, and Distance (Option: This section can be deferred to just before Section 4.6.) • Curve Fitting, Electrical Networks, and Traffic Flow • Chapter 1 Review Exercises |
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Chapter 2: Matrices and Linear Transformations • Addition, Scalar Multiplication, and Multiplication of Matrices • Properties of Matrix Operations • Symmetric Matrices and Seriation in Archaeology • The Inverse of a Matrix and Cryptography • Matrix Transformations, Rotations, and Dilations • Linear Transformations, Graphics, and Fractals • The Leontief Input-Output Model in Economics • Markov Chains, Population Movements, and Genetics • A Communication Model and Group Relationships in Sociology • Chapter 2 Review Exercises |
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Chapter 3: Determinants and Eigenvectors • Introduction to Determinants • Properties of Determinants • Determinants, Matrix Inverses, and Systems of Linear Equations • Eigenvalues and Eigenvectors (Option: Diagonalization of Matrices, Section 5.3, may be discussed at this time.) • Google, Demography, Weather Prediction, and Leslie Matrix Models • Chapter 3 Review Exercises |
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Chapter 4: General Vector Spaces • General Vector Spaces and Subspaces • Linear Combinations of Vectors • Linear Independence of Vectors • Properties of Bases • Rank • Projections, Gram-Schmidt Process, and QR Factorization • Orthogonal Complement • Kernel, Range, and the Rank/Nullity Theorem • One-to-One Transformations and Inverse Transformations • Transformations and Systems of Linear Equations • Chapter 4 Review Exercises |
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Chapter 5: Coordinate Representations • Coordinate Vectors • Matrix Representations of Linear Transformations • Diagonalization of Matrices • Quadratic Forms, Difference Equations, and Normal Modes • Linear Differential Equations (Calculus Prerequisite) • Chapter 5 Review Exercises |
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Chapter 6: Inner Product Spaces • Inner Product Spaces • Non-Euclidean Geometry and Special Relativity • Approximation of Functions and Coding Theory • Least Squares Solutions • Chapter 6 Review Exercises |
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Chapter 7: Numerical Methods • Gaussian Elimination • The Method of LU Decomposition • Practical Difficulties in Solving Systems of Equations • Iterative Methods for Solving Systems of Linear Equations • Eigenvalues by Iteration and Connectivity of Networks • The Singular Value Decomposition • Chapter 7 Review Exercises |
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Chapter 8: Linear Programming • A Geometrical Introduction to Linear Programming • The Simplex Method • Geometrical Explanation of the Simplex Method • Chapter 8 Review Exercises |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Linear Algebra with Applications, Ninth Edition is designed for the introductory course in linear algebra for students within engineering, mathematics, business management, and physics. Updated to increase clarity and improve student learning, the author provides a flexible blend of theory and engaging applications. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
