000			01769nam a22002297a 4500
003			RNL
005			20260309065139.0
008			260309b |||||||| |||| 00| 0 eng d
020			_a9780367240042
040			_aRCL
082			_a512 W72A
100			_aWoerdeman, Hugo J _926338
245			_aAdvanced Linear Algebra _c/Hugo J. Woerdeman
260			_aNew York: _bCRC Press, _c2025.
300			_axxi, 327p.
505	0		_aCover Title Page Copyright Page Dedication Table of Contents Preface to the Instructor Preface to the Student Acknowledgments Notation List of Figures 1 Fields and Matrix Algebra 1.1 The field ℤ3 1.2 The field axioms 1.3 Field examples 1.3.1 Complex numbers 1.3.2 The finite field ℤp, with p prime 1.4 Matrix algebra over different fields 1.4.1 Reminders about Cramer’s rule and the adjugate matrix. 1.5 Exercises 2 Vector Spaces 2.1 Definition of a vector space 2.2 Vector spaces of functions 2.2.1 The special case when X is finite 2.3 Subspaces and more examples of vector spaces
520			_aAdvanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products.
546			_aEnglish
650			_a linear algebra _923376
650			_aResearch project _930567
942			_cBK
999			_c47863 _d47863