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001 - NÚMERO DE CONTROL |
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003 - IDENTIFICADOR DEL NÚMERO DE CONTROL |
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SIRSI |
005 - FECHA Y HORA DE LA ULTIMA TRANSACCIÓN |
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20160812084529.0 |
007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL |
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008 - ELEMENTOS DE LONGITUD FIJA -- INFORMACIÓN GENERAL |
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100907s2010 ne | s |||| 0|eng d |
020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
International Standard Book Number |
9789048192748 |
-- |
978-90-481-9274-8 |
040 ## - FUENTE DE CATALOGACIÓN |
Transcribing agency |
MX-MeUAM |
050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
Classification number |
QC5.53 |
082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
Classification number |
530.15 |
Edition number |
23 |
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
Personal name |
Jeffrey, Alan. |
Relator term |
author. |
245 10 - MENCIÓN DE TITULO |
Title |
Matrix Operations for Engineers and Scientists |
Medium |
[recurso electrónico] : |
Remainder of title |
An Essential Guide in Linear Algebra / |
Statement of responsibility, etc. |
by Alan Jeffrey. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Dordrecht : |
Name of producer, publisher, distributor, manufacturer |
Springer Netherlands : |
-- |
Imprint: Springer, |
Date of production, publication, distribution, manufacture, or copyright notice |
2010. |
300 ## - DESCRIPCIÓN FÍSICA |
Extent |
IV, 278p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
505 0# - NOTA DE CONTENIDO |
Formatted contents note |
1. MATRICES AND LINEAR SYSTEMS -- 1.1 Systems of Algebraic Equations -- 1.2 Suffix and Matrix Notation -- 1.3 Equality, Addition and Scaling of Matrices -- 1.4 Some Special Matrices and the Transpose Operation. Exercises -- 1 2. DETERMINANTS AND LINEAR SYSTEMS -- 2.1 Introduction to Determinants and Systems of Equation -- 2.2 A First Look at Linear Dependence and Independence -- 2.3 Properties of Determinants and the Laplace Expansion Theorem -- 2.4 Gaussian Elimination and Determinants -- 2.5 Homogeneous Systems and a Test for Linear Independence -- 2.6 Determinants and Eigenvalues. Exercises -- 2 3. MATRIX MULTIPLICATION, THE INVERSE MATRIX AND THE NORM -- 3.1 The Inner Product, Orthogonality and the Norm 3.2 Matrix Multiplication -- 3.3 Quadratic Forms -- 3.4 The Inverse Matrix -- 3.5 Orthogonal Matrices 3.6 Matrix Proof of Cramer’s Rule -- 3.7 Partitioning of Matrices. Exercises 34. SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS -- 4.1 The Augmented Matrix and Elementary Row Operations -- 4.2 The Echelon and Reduced Echelon Forms of a Matrix -- 4.3 The Row Rank of a Matrix 4.4 Elementary Row Operations and the Inverse Matrix -- 4.5 LU Factorization of a Matrix and its Use When Solving Linear Systems of Algebraic Equations -- 4.6 Eigenvalues and Eigenvectors. Exercises -- 4 5. EIGENVALUES, EIGENVECTORS, DIAGONALIZATION, SIMILARITY AND JORDAN FORMS -- 5.1 Finding Eigenvectors -- 5.2 Diagonalization of Matrices -- 5.3 Quadratic Forms and Diagonalization -- 5.4 The Characteristic Polynomial and the Cayley-Hamilton Theorem -- 5.5 Similar Matrices 5.6 Jordan Normal Forms -- 5.7 Hermitian Matrices. Exercises.-56. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS -- 6.1 Differentiation and Integration of Matrices -- 6.2 Systems of Homogeneous Constant Coefficient Differential Equations -- 6.3 An Application of Diagonalization 6.4 The Nonhomogeneeous Case -- 6.5 Matrix Methods and the Laplace Transform -- 6.6 The Matrix Exponential and Differential Equations. Exercises -- 6.7. AN INTRODUCTION TO VECTOR SPACES -- 7.1 A Generalization of Vectors -- 7.2 Vector Spaces and a Basis for a Vector Space -- 7.3 Changing Basis Vectors -- 7.4 Row and Column Rank -- .5 The Inner Product -- 7.6 The Angle Between Vectors and Orthogonal Projections -- 7.7 Gram-Schmidt Orthogonalization -- 7.8 Projections -- 7.9 Some Comments on Infinite Dimensional Vector Spaces. Exercises 78. LINEAR TRANSFORMATIONS AND THE GEOMETRY OF THE PLANE -- 8.1 Rotation of Coordinate Axes -- 8.2 The Linearity of the Projection Operation -- 8.3 Linear Transformations 8.4 Linear Transformations and the Geometry of the Plane. Exercises -- 8Solutions to all Exercises. |
520 ## - NOTA DE RESUMEN, ETC. |
Summary, etc. |
Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the Univesity of Newcastle upon Tyne. He has given courses on engineering mathematics in UK and US Universities. |
596 ## - |
-- |
19 |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Physics. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Matrix theory. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Differential Equations. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Mathematical physics. |
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Engineering mathematics. |
650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Physics. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Appl.Mathematics/Computational Methods of Engineering. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Linear and Multilinear Algebras, Matrix Theory. |
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
Topical term or geographic name as entry element |
Ordinary Differential Equations. |
710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9789048192731 |
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
Public note |
Libro electrónico |
Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-90-481-9274-8">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-90-481-9274-8</a> |
942 ## - TIPO DE MATERIAL (KOHA) |
Koha item type |
Libro Electrónico |