國立虎尾科技大學 |

Linear algebra

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Linear algebra/ by Juan Jorge Schäffer.
Author:	Schäffer, Juan Jorge.
Published:	New Jersey :World Scientific, : 2014.,
Description:	1 online resource.
Subject:	Algebras, Linear. -
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/9317#t=toc
ISBN:	9789814623506

Linear algebra
Schäffer, Juan Jorge.

Linear algebra[electronic resource] /by Juan Jorge Schäffer. - New Jersey :World Scientific,2014. - 1 online resource.

Includes bibliographical references and indexes.

PREFACE; CONTENTS; Chapter 1. LINEAR SPACES AND LINEAR MAPPINGS; 11. Linear spaces; 12. Linear mappings; 13. Subspaces; 14. Linear partitions; 15. Supplements; Chapter 2. PROPERTIES OF LINEAR MAPPINGS; 21. Linear invertibility; 22. Cancellability and factorization; Chapter 3. LINEAR PRODUCTS AND COPRODUCTS; 31. Linear products; 32. Linear coproducts; 33. Decompositions; Chapter 4. FAMILIES IN LINEAR SPACES; 41. Linear combination; 42. Linear independence; 43. Linear independence, spanning, bases; Chapter 5. FINITE DIMENSION; 51. Matrices; 52. Finite-dimensional spaces.

In the spirit of the author's Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications. Contents: Linear Spaces and Linear Mappings; Properties of Linear Mappings; Linear Products and Coproducts; Families in Linea.

ISBN: 9789814623506Subjects--Topical Terms:

528115
Algebras, Linear.

LC Class. No.: QA184.2 / .S31 2014eb

Dewey Class. No.: 512/.5

Linear algebra
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100 1 $a Schäffer, Juan Jorge. $3 1061130
245 1 0 $a Linear algebra $h [electronic resource] / $c by Juan Jorge Schäffer.
260 $a New Jersey : $b World Scientific, $c 2014.
300 $a 1 online resource.
504 $a Includes bibliographical references and indexes.
505 0 $a PREFACE; CONTENTS; Chapter 1. LINEAR SPACES AND LINEAR MAPPINGS; 11. Linear spaces; 12. Linear mappings; 13. Subspaces; 14. Linear partitions; 15. Supplements; Chapter 2. PROPERTIES OF LINEAR MAPPINGS; 21. Linear invertibility; 22. Cancellability and factorization; Chapter 3. LINEAR PRODUCTS AND COPRODUCTS; 31. Linear products; 32. Linear coproducts; 33. Decompositions; Chapter 4. FAMILIES IN LINEAR SPACES; 41. Linear combination; 42. Linear independence; 43. Linear independence, spanning, bases; Chapter 5. FINITE DIMENSION; 51. Matrices; 52. Finite-dimensional spaces.
505 8 $a 53. Finite dimension and linear mappings54. Finite- and infinite-dimensional spaces; Chapter 6. DUALITY; 61. Dual spaces and transposes; 62. Annihilators; 63. Higher-order dual spaces and transposes; 64. Biorthogonal families; Chapter 7. DUALITY AND FINITE DIMENSION; 71. Duality for finite-dimensional spaces; 72. Dual bases and matrices; 73. The trace form; 74. The canonical identifications; INDEXES; Index of terms; Index of symbols.
520 $a In the spirit of the author's Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications. Contents: Linear Spaces and Linear Mappings; Properties of Linear Mappings; Linear Products and Coproducts; Families in Linea.
588 0 $a Print version record.
650 0 $a Algebras, Linear. $3 528115
650 0 $a Algebra. $2 gtt $3 579870
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/9317#t=toc