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Linear algebra (Record no. 88686)

MARC details
000 -LEADER
fixed length control field	03293nam a2200157Ia 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	81-8128-187-X
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name	Janich, Klaus
245 ## - TITLE STATEMENT
Title	Linear algebra
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Date of publication, distribution, etc.	2004
Name of publisher, distributor, etc.	Springer India Ltd.,
Place of publication, distribution, etc.	New Delhi
300 ## - PHYSICAL DESCRIPTION
Extent	IX+204 p.
Other physical details	23 cm ;Pbk
500 ## - GENERAL NOTE
General note	58 illustrations
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	1. Sets and Maps --<br/>1.1 Sets --<br/>1.2 Maps --<br/>1.3 Test --<br/>1.4 Remarks on the Literature --<br/>1.5 Exercises --<br/>2. Vector Spaces --<br/>2.1 Real Vector Spaces --<br/>2.2 Complex Numbers and Complex Vector Spaces --<br/>2.3 Vector Subspaces --<br/>2.4 Test --<br/>2.5 Fields --<br/>2.6 What Are Vectors? --<br/>2.7 Complex Numbers 400 Years Ago --<br/>2.8 Remarks on the Literature --<br/>2.9 Exercises --<br/>3. Dimension --<br/>3.1 Linear Independence --<br/>3.2 The Concept of Dimension --<br/>3.3 Test --<br/>3.4 Proof of the Basis Extension Theorem and the Exchange Lemma --<br/>3.5 The Vector Product --<br/>3.6 The 'Steinitz Exchange Theorem' --<br/>3.7 Exercises --<br/>4. Linear Maps --<br/>4.1 Linear Maps --<br/>4.2 Matrices --<br/>4.3 Test --<br/>4.4 Quotient Spaces --<br/>4.5 Rotations and Reflections in the Plane --<br/>4.6 Historical Aside --<br/>4.7 Exercises --<br/>5. Matrix Calculus --<br/>5.1 Multiplication --<br/>5.2 The Rank of a Matrix --<br/>5.3 Elementary Transformations --<br/>5.4 Test --<br/>5.5 How Does One Invert a Matrix? --<br/>5.6 Rotations and Reflections (continued) --<br/>5.7 Historical Aside --<br/>5.8 Exercises --<br/>6. Determinants --<br/>6.1 Determinants --<br/>6.2 Determination of Determinants --<br/>6.3 The Determinant of the Transposed Matrix --<br/>6.4 Determinantal Formula for the Inverse Matrix --<br/>6.5 Determinants and Matrix Products --<br/>6.6 Test --<br/>6.7 Determinant of an Endomorphism --<br/>6.8 The Leibniz Formula --<br/>6.9 Historical Aside --<br/>6.10 Exercises --<br/>7. Systems of Linear Equations --<br/>7.1 Systems of Linear Equations --<br/>7.2 Cramer's Rule --<br/>7.3 Gaussian Elimination --<br/>7.4 Test --<br/>7.5 More on Systems of Linear Equations --<br/>7.6 Captured on Camera! --<br/>7.7 Historical Aside --<br/>7.8 Remarks on the Literature --<br/>7.9 Exercises --<br/>8. Euclidean Vector Spaces --<br/>8.1 Inner Products --<br/>8.2 Orthogonal Vectors --<br/>8.3 Orthogonal Maps --<br/>8.4 Groups --<br/>8.5 Test --<br/>8.6 Remarks on the Literature --<br/>8.7 Exercises --<br/>9. Eigenvalues --<br/>9.1 Eigenvalues and Eigenvectors --<br/>9.2 The Characteristic Polynomial --<br/>9.3 Test --<br/>9.4 Polynomials --<br/>9.5 Exercises --<br/>10. The Principal Axes Transformation --<br/>10.1 Self-Adjoint Endomorphisms --<br/>10.2 Symmetric Matrices --<br/>10.3 The Principal Axes Transformation for Self-Adjoint Endomorphisms --<br/>10.4 Test --<br/>10.5 Exercises --<br/>11. Classification of Matrices --<br/>11.1 What Is Meant by 'Classification'? --<br/>11.2 The Rank Theorem --<br/>11.3 The Jordan Normal Form --<br/>11.4 More on the Principal Axes Transformation --<br/>11.5 The Sylvester Inertia Theorem --<br/>11.6 Test --<br/>11.7 Exercises --<br/>12. Answers to the Tests --<br/>References.
520 ## - SUMMARY, ETC.
Summary, etc.	This book covers the material of an introductory course in linear algebra: sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. The book is written for beginners. Its didactic features (the "book within a book" and multiple choice tests with commented answers) make it especially suitable for self-study
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Mathematics
--	Algebras, Linear
--	Algebra
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	Books

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Collection code	Home library	Current library	Date acquired	Total Checkouts	Total Renewals	Full call number	Barcode	Date last seen	Date last checked out	Price effective from	Koha item type
				GSB Collection		H.T. Parekh Library	25/03/2010	8		512.5 JAN	28264	21/08/2022	18/08/2022	22/06/2019	Books