The Resource Linear algebra for everyone, Lorenzo Robbiano
Linear algebra for everyone, Lorenzo Robbiano
Resource Information
The item Linear algebra for everyone, Lorenzo Robbiano represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Linear algebra for everyone, Lorenzo Robbiano represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita
 Language

 eng
 ita
 eng
 Extent
 1 online resource (xvii, 218 pages)
 Contents

 Title Page  Copyright Page  Foreword  Introduction  Table of Contents  Numerical and Symbolic Computations  The equation ax = b. Letâ€?s try to solve it  The equation ax = b. Be careful of mistakes  The equation ax = b. Letâ€?s manipulate the symbols  Exercises  Part I  1 Systems of Linear Equations and Matrices  1.1 Examples of Systems of Linear Equations  1.2 Vectors and Matrices  1.3 Generic Systems of Linear Equations and Associated Matrices  1.4 The Formalism of Ax = b  Exercises  2 Operations with Matrices
 2.1 Sum and the product by a number2.2 Row by column product  2.3 How much does it cost to multiply two matrices?  2.4 Some properties of the product of matrices  2.5 Inverse of a matrix  Exercises  3 Solutions of Systems of Linear Equations  3.1 Elementary Matrices  3.2 Square Linear Systems, Gaussian Elimination  3.3 Effective Calculation of Matrix Inverses  3.4 How much does Gaussian Elimination cost?  3.5 The LU Decomposition  3.6 Gaussian Elimination for General Systems of Linear Equations  3.7 Determinants  Exercises
 4 Coordinate Systems4.1 Scalars and Vectors  4.2 Cartesian Coordinates  4.3 The Parallelogram Rule  4.4 Orthogonal Systems, Areas, Determinants  4.5 Angles, Moduli, Scalar Products  4.6 Scalar Products and Determinants in General  4.7 Change of Coordinates  4.8 Vector Spaces and Bases  Exercises  Part II  5 Quadratic Forms  5.1 Equations of the Second Degree  5.2 Elementary Operations on Symmetric Matrices  5.3 Quadratic Forms, Functions, Positivity  5.4 Cholesky Decomposition  Exercises
 6 Orthogonality and Orthonormality6.1 Orthonormal Tuples and Orthonormal Matrices  6.2 Rotations  6.3 Subspaces, Linear Independence, Rank, Dimension  6.4 Orthonormal Bases and the GramSchmidt Procedure  6.5 The QR Decomposition  Exercises  7 Projections, Pseudoinverses and Least Squares  7.1 Matrices and Linear Transformations  7.2 Projections  7.3 Least Squares and Pseudoinverses  Exercises  8 Endomorphisms and Diagonalization  8.1 An Example of a Plane Linear Transformation
 8.2 Eigenvalues, Eigenvectors, Eigenspaces and Similarity8.3 Powers of Matrices  8.4 The Rabbits of Fibonac  8.5 Differential Systems  8.6 Diagonalizability of Real Symmetric Matrices  Exercises  Part III  Appendix  Problems with the computer  Conclusion?  References  Index
 Isbn
 9788847018396
 Label
 Linear algebra for everyone
 Title
 Linear algebra for everyone
 Statement of responsibility
 Lorenzo Robbiano
 Language

 eng
 ita
 eng
 Summary
 This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Robbiano, Lorenzo
 Dewey number
 512/.3
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA184.2
 LC item number
 .R6213 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 UNITEXT / la Matematica per Il 3+2
 http://library.link/vocab/subjectName

 Algebras, Linear
 Algebras, Linear
 Label
 Linear algebra for everyone, Lorenzo Robbiano
 Bibliography note
 Includes bibliographical references (page 211) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Title Page  Copyright Page  Foreword  Introduction  Table of Contents  Numerical and Symbolic Computations  The equation ax = b. Letâ€?s try to solve it  The equation ax = b. Be careful of mistakes  The equation ax = b. Letâ€?s manipulate the symbols  Exercises  Part I  1 Systems of Linear Equations and Matrices  1.1 Examples of Systems of Linear Equations  1.2 Vectors and Matrices  1.3 Generic Systems of Linear Equations and Associated Matrices  1.4 The Formalism of Ax = b  Exercises  2 Operations with Matrices
 2.1 Sum and the product by a number2.2 Row by column product  2.3 How much does it cost to multiply two matrices?  2.4 Some properties of the product of matrices  2.5 Inverse of a matrix  Exercises  3 Solutions of Systems of Linear Equations  3.1 Elementary Matrices  3.2 Square Linear Systems, Gaussian Elimination  3.3 Effective Calculation of Matrix Inverses  3.4 How much does Gaussian Elimination cost?  3.5 The LU Decomposition  3.6 Gaussian Elimination for General Systems of Linear Equations  3.7 Determinants  Exercises
 4 Coordinate Systems4.1 Scalars and Vectors  4.2 Cartesian Coordinates  4.3 The Parallelogram Rule  4.4 Orthogonal Systems, Areas, Determinants  4.5 Angles, Moduli, Scalar Products  4.6 Scalar Products and Determinants in General  4.7 Change of Coordinates  4.8 Vector Spaces and Bases  Exercises  Part II  5 Quadratic Forms  5.1 Equations of the Second Degree  5.2 Elementary Operations on Symmetric Matrices  5.3 Quadratic Forms, Functions, Positivity  5.4 Cholesky Decomposition  Exercises
 6 Orthogonality and Orthonormality6.1 Orthonormal Tuples and Orthonormal Matrices  6.2 Rotations  6.3 Subspaces, Linear Independence, Rank, Dimension  6.4 Orthonormal Bases and the GramSchmidt Procedure  6.5 The QR Decomposition  Exercises  7 Projections, Pseudoinverses and Least Squares  7.1 Matrices and Linear Transformations  7.2 Projections  7.3 Least Squares and Pseudoinverses  Exercises  8 Endomorphisms and Diagonalization  8.1 An Example of a Plane Linear Transformation
 8.2 Eigenvalues, Eigenvectors, Eigenspaces and Similarity8.3 Powers of Matrices  8.4 The Rabbits of Fibonac  8.5 Differential Systems  8.6 Diagonalizability of Real Symmetric Matrices  Exercises  Part III  Appendix  Problems with the computer  Conclusion?  References  Index
 Control code
 733542614
 Dimensions
 unknown
 Extent
 1 online resource (xvii, 218 pages)
 Form of item
 online
 Isbn
 9788847018396
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9788847018389
 Specific material designation
 remote
 System control number
 (OCoLC)733542614
 Label
 Linear algebra for everyone, Lorenzo Robbiano
 Bibliography note
 Includes bibliographical references (page 211) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Title Page  Copyright Page  Foreword  Introduction  Table of Contents  Numerical and Symbolic Computations  The equation ax = b. Letâ€?s try to solve it  The equation ax = b. Be careful of mistakes  The equation ax = b. Letâ€?s manipulate the symbols  Exercises  Part I  1 Systems of Linear Equations and Matrices  1.1 Examples of Systems of Linear Equations  1.2 Vectors and Matrices  1.3 Generic Systems of Linear Equations and Associated Matrices  1.4 The Formalism of Ax = b  Exercises  2 Operations with Matrices
 2.1 Sum and the product by a number2.2 Row by column product  2.3 How much does it cost to multiply two matrices?  2.4 Some properties of the product of matrices  2.5 Inverse of a matrix  Exercises  3 Solutions of Systems of Linear Equations  3.1 Elementary Matrices  3.2 Square Linear Systems, Gaussian Elimination  3.3 Effective Calculation of Matrix Inverses  3.4 How much does Gaussian Elimination cost?  3.5 The LU Decomposition  3.6 Gaussian Elimination for General Systems of Linear Equations  3.7 Determinants  Exercises
 4 Coordinate Systems4.1 Scalars and Vectors  4.2 Cartesian Coordinates  4.3 The Parallelogram Rule  4.4 Orthogonal Systems, Areas, Determinants  4.5 Angles, Moduli, Scalar Products  4.6 Scalar Products and Determinants in General  4.7 Change of Coordinates  4.8 Vector Spaces and Bases  Exercises  Part II  5 Quadratic Forms  5.1 Equations of the Second Degree  5.2 Elementary Operations on Symmetric Matrices  5.3 Quadratic Forms, Functions, Positivity  5.4 Cholesky Decomposition  Exercises
 6 Orthogonality and Orthonormality6.1 Orthonormal Tuples and Orthonormal Matrices  6.2 Rotations  6.3 Subspaces, Linear Independence, Rank, Dimension  6.4 Orthonormal Bases and the GramSchmidt Procedure  6.5 The QR Decomposition  Exercises  7 Projections, Pseudoinverses and Least Squares  7.1 Matrices and Linear Transformations  7.2 Projections  7.3 Least Squares and Pseudoinverses  Exercises  8 Endomorphisms and Diagonalization  8.1 An Example of a Plane Linear Transformation
 8.2 Eigenvalues, Eigenvectors, Eigenspaces and Similarity8.3 Powers of Matrices  8.4 The Rabbits of Fibonac  8.5 Differential Systems  8.6 Diagonalizability of Real Symmetric Matrices  Exercises  Part III  Appendix  Problems with the computer  Conclusion?  References  Index
 Control code
 733542614
 Dimensions
 unknown
 Extent
 1 online resource (xvii, 218 pages)
 Form of item
 online
 Isbn
 9788847018396
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9788847018389
 Specific material designation
 remote
 System control number
 (OCoLC)733542614
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/LinearalgebraforeveryoneLorenzo/VjAbxIKMdio/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/LinearalgebraforeveryoneLorenzo/VjAbxIKMdio/">Linear algebra for everyone, Lorenzo Robbiano</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>