000			05066cam a22006138i 4500
001			9781003105206
003			FlBoTFG
005			20220711212451.0
006			m o d
007			cr |||||||||||
008			200901s2021 flu ob 001 0 eng
040			_aOCoLC-P _beng _erda _cOCoLC-P
020			_a9781003105206 _q(ebook)
020			_a1003105203
020			_a9781000337426 _q(electronic bk. : PDF)
020			_a1000337421 _q(electronic bk. : PDF)
020			_a9781000337433 _q(electronic bk. : Mobipocket)
020			_a100033743X _q(electronic bk. : Mobipocket)
020			_a9781000337440 _q(electronic bk. : EPUB)
020			_a1000337448 _q(electronic bk. : EPUB)
020			_z9780367613259 _q(hardback)
035			_a(OCoLC)1193559287 _z(OCoLC)1202884338 _z(OCoLC)1225556377
035			_a(OCoLC-P)1193559287
050	0	0	_aQA184.5
072		7	_aMAT _x003000 _2bisacsh
072		7	_aTEC _x029000 _2bisacsh
072		7	_aBUS _x049000 _2bisacsh
072		7	_aTBC _2bicssc
082	0	0	_a512/.5 _223
100	1		_aShah, Nita H., _eauthor. _913090
245	1	0	_aLinear transformation : _bexamples and solutions / _cNita H. Shah and Urmila B. Chaudhari.
250			_aFirst edition.
264		1	_aBoca Raton : _bCRC Press, _c2021.
264		4	_c©2021
300			_a1 online resource (xi, 77 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bn _2rdamedia
338			_aonline resource _bnc _2rdacarrier
490	1		_aMathematical engineering, manufacturing, and management sciences
520			_aThis book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and includes exact methods with specific shortcuts to reach solutions for particular problems. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems. This book will serve their need instead of having to use the more complex texts that contain more concepts then needed. The chapters mainly discuss the definition of linear transformation, properties of linear transformation, linear operators, composition of two or more linear transformations, kernels and range of linear transformation, inverse transformation, one-to-one and onto transformation, isomorphism, matrix linear transformation, and similarity of two matrices.
505	0		_aCover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Acknowledgements -- Authors -- Chapter 1 Linear Transformations of Euclidean Vector Space -- 1.1 Linear Transformations from R[sup(n)] to R[sup(m)] -- 1.1.1 Transformations from R[sup(n)] to R[sup(m)] -- 1.1.2 Linear Transformations from R[sup(n)] to R[sup(m)] -- 1.2 Matrix Representation of Linear Transformations -- 1.3 Different Types of Operators and their Composition -- 1.3.1 Reflection Operator -- 1.3.2 Orthogonal Projection Operator -- 1.3.3 Rotation Operator
505	8		_a1.3.4 Contraction and Dilation Operators -- 1.3.5 Shear Operator -- 1.4 Composition of Two or More Transformations -- Exercise Set 1 -- Answers to Exercise Set 1 -- Chapter 2 General Linear Transformations -- 2.1 Introduction of General Linear Transformations -- 2.1.1 Properties of Linear Transformations -- 2.2 Forming a Linear Transformation -- 2.2.1 Obtaining Linear Transformations from Basis Vectors and their Image Vectors -- 2.3 Kernel and Range of Linear Transformation T -- 2.4 Composition of the Linear Transformation -- Exercise Set 2 -- Answers to Exercise Set 2
505	8		_aChapter 3 Inverse Linear Transformation -- 3.1 One-One Transformation -- 3.1.1 Some Important Results -- 3.2 Onto Transformation -- 3.3 Isomorphism -- 3.4 Inverse Linear Transformation -- Exercise Set 3 -- Answers to Exercise Set 3 -- Chapter 4 Matrices of General Linear Transformations -- 4.1 Matrix of General Transformations -- 4.2 Similarity -- 4.2.1 Effect of Changing Bases on Matrices of Linear Operators -- Exercise Set 4 -- Answers to Exercise Set 4 -- Multiple-Choice Questions on Linear Transformation -- Bibliography -- Index
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aAlgebras, Linear _vProblems, exercises, etc. _916797
650		0	_aLinear operators. _916798
650		7	_aMATHEMATICS / Applied _2bisacsh _96859
650		7	_aTECHNOLOGY / Operations Research _2bisacsh _910871
650		7	_aBUSINESS & ECONOMICS / Operations Research _2bisacsh _916799
700	1		_aChaudhari, Urmila B., _eauthor. _916800
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9781003105206
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942			_cEBK
999			_c71343 _d71343