Linear algebra / Juan Jorge Schäffer.

Format:

Book

Author/Creator:

Schäffer, Juan Jorge, author.

Language:

English

Subjects (All):

Algebras, Linear.

Algebra.

Physical Description:

1 online resource (141 p.)

Place of Publication:

Singapore : World Scientific Publishing, 2015.

Language Note:

English

Summary:

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

Contents:

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

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

Notes:

Includes indexes.

Description based on print version record.

ISBN:

981-4623-50-4