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The Resource Linear algebra for everyone, Lorenzo Robbiano

Linear algebra for everyone, Lorenzo Robbiano

Label
Linear algebra for everyone
Title
Linear algebra for everyone
Statement of responsibility
Lorenzo Robbiano
Creator
Subject
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
Member of
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
Instantiates
Publication
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 Gram-Schmidt 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
978-88-470-1838-9
Specific material designation
remote
System control number
(OCoLC)733542614
Label
Linear algebra for everyone, Lorenzo Robbiano
Publication
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 Gram-Schmidt 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
978-88-470-1838-9
Specific material designation
remote
System control number
(OCoLC)733542614

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      38.944491 -92.326012
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