MARC details
| 000 -LEADER |
|---|
| fixed length control field |
08061nam a2200445 i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20250919002821.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
150324s2014 riua bi 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470409081 (alkaline paper) |
| Terms of availability |
RM339.43 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
1470409089 (alkaline paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
|---|
| Level of rules in bibliographic description |
201506091616 |
| Level of effort used to assign nonsubject heading access points |
lan |
| Level of effort used to assign subject headings |
201506050907 |
| Level of effort used to assign classification |
lan |
| Level of effort used to assign subject headings |
201505271522 |
| Level of effort used to assign classification |
hamudah |
| y |
03-24-2015 |
| z |
hamudah |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
DLC |
| Modifying agency |
YDX |
| -- |
OCLCO |
| -- |
YDXCP |
| -- |
CLS |
| -- |
IXA |
| -- |
DEBBG |
| -- |
INU |
| -- |
OCLCF |
| -- |
UKM |
| Description conventions |
rda |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA184.2.D964 2014 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA184.2 |
| Local cutter number (OCLC) ; Book number/undivided call number, CALL (RLIN) |
.D964 2014 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Dym, H. |
| Fuller form of name |
(Harry), |
| Dates associated with a name |
1938- |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Linear algebra in action / |
| Statement of responsibility, etc. |
Harry Dym. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
Second edition. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Providence, Rhode Island : |
| Name of producer, publisher, distributor, manufacturer |
American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2013]. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xix, 585 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Graduate studies in mathematics ; |
| Volume/sequential designation |
volume 78. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 575-578) and indexes. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
Machine generated contents note: |
| -- |
1.1. |
| Title |
Preview -- |
| Miscellaneous information |
1.2. |
| Title |
The abstract definition of a vector space -- |
| Miscellaneous information |
1.3. |
| Title |
Some definitions -- |
| Miscellaneous information |
1.4. |
| Title |
Mappings -- |
| Miscellaneous information |
1.5. |
| Title |
Triangular matrices -- |
| Miscellaneous information |
1.6. |
| Title |
Block triangular matrices -- |
| Miscellaneous information |
1.7. |
| Title |
Schur complements -- |
| Miscellaneous information |
1.8. |
| Title |
Other matrix products -- |
| Miscellaneous information |
2.1. |
| Title |
Some preliminary observations -- |
| Miscellaneous information |
2.2. |
| Title |
Examples -- |
| Miscellaneous information |
2.3. |
| Title |
Upper echelon matrices -- |
| Miscellaneous information |
2.4. |
| Title |
The conservation of dimension -- |
| Miscellaneous information |
2.5. |
| Title |
Quotient spaces -- |
| Miscellaneous information |
2.6. |
| Title |
Conservation of dimension for matrices -- |
| Miscellaneous information |
2.7. |
| Title |
From U to A -- |
| Miscellaneous information |
2.8. |
| Title |
Square matrices -- |
| Miscellaneous information |
3.1. |
| Title |
Gaussian elimination redux -- |
| Miscellaneous information |
3.2. |
| Title |
Properties of BA and AC -- |
| Miscellaneous information |
3.3. |
| Title |
Extracting a basis -- |
| Miscellaneous information |
3.4. |
| Title |
Computing the coefficients in a basis -- |
| Miscellaneous information |
3.5. |
| Title |
The Gauss-Seidel method -- |
| Miscellaneous information |
3.6. |
| Title |
Block Gaussian elimination -- |
| Miscellaneous information |
3.7. |
| Title |
{0, 1, infinity} -- |
| Miscellaneous information |
3.8. |
| Title |
Review -- |
| Miscellaneous information |
4.1. |
| Title |
Change of basis and similarity -- |
| Miscellaneous information |
4.2. |
| Title |
Invariant subspaces -- |
| Miscellaneous information |
4.3. |
| Title |
Existence of eigenvalues -- |
| Miscellaneous information |
4.4. |
| Title |
Eigenvalues for matrices -- |
| Miscellaneous information |
4.5. |
| Title |
Direct sums -- |
| Miscellaneous information |
4.6. |
| Title |
Diagonalizable matrices -- |
| Miscellaneous information |
4.7. |
| Title |
An algorithm for diagonalizing matrices. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
4.8. |
| Title |
Computing eigenvalues at this point -- |
| Miscellaneous information |
4.9. |
| Title |
Not all matrices are diagonalizable -- |
| Miscellaneous information |
4.10. |
| Title |
The Jordan decomposition theorem -- |
| Miscellaneous information |
4.11. |
| Title |
An instructive example -- |
| Miscellaneous information |
4.12. |
| Title |
The binomial formula -- |
| Miscellaneous information |
4.13. |
| Title |
More direct sum decompositions -- |
| Miscellaneous information |
4.14. |
| Title |
Verification of Theorem 4.13 -- |
| Miscellaneous information |
4.15. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
5.1. |
| Title |
Functionals -- |
| Miscellaneous information |
5.2. |
| Title |
Determinants -- |
| Miscellaneous information |
5.3. |
| Title |
Useful rules for calculating determinants -- |
| Miscellaneous information |
5.4. |
| Title |
Eigenvalues -- |
| Miscellaneous information |
5.5. |
| Title |
Exploiting block structure -- |
| Miscellaneous information |
5.6. |
| Title |
The Binet-Cauchy formula -- |
| Miscellaneous information |
5.7. |
| Title |
Minors -- |
| Miscellaneous information |
5.8. |
| Title |
Uses of determinants -- |
| Miscellaneous information |
5.9. |
| Title |
Companion matrices -- |
| Miscellaneous information |
5.10. |
| Title |
Circulants and Vandermonde matrices -- |
| Miscellaneous information |
6.1. |
| Title |
Overview -- |
| Miscellaneous information |
6.2. |
| Title |
Structure of the nullspaces NBj -- |
| Miscellaneous information |
6.3. |
| Title |
Chains and cells -- |
| Miscellaneous information |
6.4. |
| Title |
Computing J -- |
| Miscellaneous information |
6.5. |
| Title |
An algorithm for computing U -- |
| Miscellaneous information |
6.6. |
| Title |
A simple example -- |
| Miscellaneous information |
6.7. |
| Title |
A more elaborate example -- |
| Miscellaneous information |
6.8. |
| Title |
Jordan decompositions for real matrices -- |
| Miscellaneous information |
6.9. |
| Title |
Projection matrices -- |
| Miscellaneous information |
6.10. |
| Title |
Companion and generalized Vandermonde matrices -- |
| Miscellaneous information |
7.1. |
| Title |
Four inequalities -- |
| Miscellaneous information |
7.2. |
| Title |
Normed linear spaces -- |
| Miscellaneous information |
7.3. |
| Title |
Equivalence of norms -- |
| Miscellaneous information |
7.4. |
| Title |
Norms of linear transformations. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
7.5. |
| Title |
Operator norms for matrices -- |
| Miscellaneous information |
7.6. |
| Title |
Mixing tops and bottoms -- |
| Miscellaneous information |
7.7. |
| Title |
Evaluating some operator norms -- |
| Miscellaneous information |
7.8. |
| Title |
Inequalities for multiplicative norms -- |
| Miscellaneous information |
7.9. |
| Title |
Small perturbations -- |
| Miscellaneous information |
7.10. |
| Title |
Bounded linear functionals -- |
| Miscellaneous information |
7.11. |
| Title |
Extensions of bounded linear functionals -- |
| Miscellaneous information |
7.12. |
| Title |
Banach spaces -- |
| Miscellaneous information |
7.13. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
8.1. |
| Title |
Inner product spaces -- |
| Miscellaneous information |
8.2. |
| Title |
A characterization of inner product spaces -- |
| Miscellaneous information |
8.3. |
| Title |
Orthogonality -- |
| Miscellaneous information |
8.4. |
| Title |
Gram matrices -- |
| Miscellaneous information |
8.5. |
| Title |
Projections and direct sum decompositions -- |
| Miscellaneous information |
8.6. |
| Title |
Orthogonal projections -- |
| Miscellaneous information |
8.7. |
| Title |
Orthogonal expansions -- |
| Miscellaneous information |
8.8. |
| Title |
The Gram-Schmidt method -- |
| Miscellaneous information |
8.9. |
| Title |
Toeplitz and Hankel matrices -- |
| Miscellaneous information |
8.10. |
| Title |
Adjoints -- |
| Miscellaneous information |
8.11. |
| Title |
The Riesz representation theorem -- |
| Miscellaneous information |
8.12. |
| Title |
Normal, selfadjoint and unitary transformations -- |
| Miscellaneous information |
8.13. |
| Title |
Auxiliary formulas -- |
| Miscellaneous information |
8.14. |
| Title |
Gaussian quadrature -- |
| Miscellaneous information |
8.15. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
9.1. |
| Title |
Hermitian matrices are diagonalizable -- |
| Miscellaneous information |
9.2. |
| Title |
Commuting Hermitian matrices -- |
| Miscellaneous information |
9.3. |
| Title |
Real Hermitian matrices -- |
| Miscellaneous information |
9.4. |
| Title |
Projections and direct sums in Fn -- |
| Miscellaneous information |
9.5. |
| Title |
Projections and rank. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
9.6. |
| Title |
Normal matrices -- |
| Miscellaneous information |
9.7. |
| Title |
QR factorization -- |
| Miscellaneous information |
9.8. |
| Title |
Schur's theorem -- |
| Miscellaneous information |
9.9. |
| Title |
Areas, volumes and determinants -- |
| Miscellaneous information |
9.10. |
| Title |
Boundary value problems -- |
| Miscellaneous information |
9.11. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
10.1. |
| Title |
Singular value decompositions -- |
| Miscellaneous information |
10.2. |
| Title |
Complex symmetric matrices -- |
| Miscellaneous information |
10.3. |
| Title |
Approximate solutions of linear equations -- |
| Miscellaneous information |
10.4. |
| Title |
Fitting a line in R2 -- |
| Miscellaneous information |
10.5. |
| Title |
Fitting a line in Rp -- |
| Miscellaneous information |
10.6. |
| Title |
Projection by iteration -- |
| Miscellaneous information |
10.7. |
| Title |
The Courant-Fischer theorem -- |
| Miscellaneous information |
10.8. |
| Title |
Inequalities for singular values -- |
| Miscellaneous information |
10.9. |
| Title |
von Neumann's inequality for contractive matrices -- |
| Miscellaneous information |
10.10. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
11.1. |
| Title |
Pseudoinverses -- |
| Miscellaneous information |
11.2. |
| Title |
The Moore-Penrose inverse -- |
| Miscellaneous information |
11.3. |
| Title |
Best approximation in terms of Moore-Penrose inverses -- |
| Miscellaneous information |
11.4. |
| Title |
Drazin inverses -- |
| Miscellaneous information |
11.5. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
12.1. |
| Title |
A detour on triangular factorization -- |
| Miscellaneous information |
12.2. |
| Title |
Definite and semidefinite matrices -- |
| Miscellaneous information |
12.3. |
| Title |
Characterizations of positive definite matrices -- |
| Miscellaneous information |
12.4. |
| Title |
An application of factorization -- |
| Miscellaneous information |
12.5. |
| Title |
Positive definite Toeplitz matrices -- |
| Miscellaneous information |
12.6. |
| Title |
Detour on block Toeplitz matrices. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
12.7. |
| Title |
A maximum entropy matrix completion problem -- |
| Miscellaneous information |
12.8. |
| Title |
A class of A 0 for which (12.52) holds -- |
| Miscellaneous information |
12.9. |
| Title |
Schur complements for semidefinite matrices -- |
| Miscellaneous information |
12.10. |
| Title |
Square roots -- |
| Miscellaneous information |
12.11. |
| Title |
Polar forms -- |
| Miscellaneous information |
12.12. |
| Title |
Matrix inequalities -- |
| Miscellaneous information |
12.13. |
| Title |
A minimal norm completion problem -- |
| Miscellaneous information |
12.14. |
| Title |
A description of all solutions to the minimal norm completion problem -- |
| Miscellaneous information |
12.15. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
13.1. |
| Title |
Systems of difference equations -- |
| Miscellaneous information |
13.2. |
| Title |
Nonhomogeneous systems of difference equations -- |
| Miscellaneous information |
13.3. |
| Title |
The exponential etA -- |
| Miscellaneous information |
13.4. |
| Title |
Systems of differential equations -- |
| Miscellaneous information |
13.5. |
| Title |
Uniqueness -- |
| Miscellaneous information |
13.6. |
| Title |
Isometric and isospectral flows -- |
| Miscellaneous information |
13.7. |
| Title |
Second-order differential systems -- |
| Miscellaneous information |
13.8. |
| Title |
Stability -- |
| Miscellaneous information |
13.9. |
| Title |
Nonhomogeneous differential systems -- |
| Miscellaneous information |
13.10. |
| Title |
Strategy for equations -- |
| Miscellaneous information |
13.11. |
| Title |
Second-order difference equations -- |
| Miscellaneous information |
13.12. |
| Title |
Higher order difference equations -- |
| Miscellaneous information |
13.13. |
| Title |
Second-order differential equations -- |
| Miscellaneous information |
13.14. |
| Title |
Higher order differential equations -- |
| Miscellaneous information |
13.15. |
| Title |
Wronskians -- |
| Miscellaneous information |
13.16. |
| Title |
Variation of parameters -- |
| Miscellaneous information |
14.1. |
| Title |
Mean value theorems. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
14.2. |
| Title |
Taylor's formula with remainder -- |
| Miscellaneous information |
14.3. |
| Title |
Application of Taylor's formula with remainder -- |
| Miscellaneous information |
14.4. |
| Title |
Mean value theorem for functions of several variables -- |
| Miscellaneous information |
14.5. |
| Title |
Mean value theorems for vector-valued functions of several variables -- |
| Miscellaneous information |
14.6. |
| Title |
A contractive fixed point theorem -- |
| Miscellaneous information |
14.7. |
| Title |
Newton's method -- |
| Miscellaneous information |
14.8. |
| Title |
A refined contractive fixed point theorem -- |
| Miscellaneous information |
14.9. |
| Title |
Spectral radius -- |
| Miscellaneous information |
14.10. |
| Title |
The Brouwer fixed point theorem -- |
| Miscellaneous information |
14.11. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
15.1. |
| Title |
Preliminary discussion -- |
| Miscellaneous information |
15.2. |
| Title |
The implicit function theorem -- |
| Miscellaneous information |
15.3. |
| Title |
A generalization of the implicit function theorem -- |
| Miscellaneous information |
15.4. |
| Title |
Continuous dependence of solutions -- |
| Miscellaneous information |
15.5. |
| Title |
The inverse function theorem -- |
| Miscellaneous information |
15.6. |
| Title |
Roots of polynomials -- |
| Miscellaneous information |
15.7. |
| Title |
An instructive example -- |
| Miscellaneous information |
15.8. |
| Title |
A more sophisticated approach -- |
| Miscellaneous information |
15.9. |
| Title |
Dynamical systems -- |
| Miscellaneous information |
15.10. |
| Title |
Lyapunov functions -- |
| Miscellaneous information |
15.11. |
| Title |
Bibliographical notes -- |
| Miscellaneous information |
16.1. |
| Title |
Classical extremal problems -- |
| Miscellaneous information |
16.2. |
| Title |
Convex functions -- |
| Miscellaneous information |
16.3. |
| Title |
Extremal problems with constraints -- |
| Miscellaneous information |
16.4. |
| Title |
Examples -- |
| Miscellaneous information |
16.5. |
| Title |
Krylov subspaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Algebras, Linear. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Graduate studies in mathematics ; |
| Volume/sequential designation |
volume 78. |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) |
|---|
| a |
.b16104201 |
| b |
2019-11-12 |
| c |
2019-11-12 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
AM |
| Suppress in OPAC |
No |
| Call number prefix |
QA184.2.D964 2014 |
| 914 ## - VTLS Number |
|---|
| VTLS Number |
vtls003581937 |
| 990 ## - EQUIVALENCES OR CROSS-REFERENCES [LOCAL, CANADA] |
|---|
| Link information for 9XX fields |
rab |
| 991 ## - LOCAL NOTE (NAMA FAKULTI/INSTITUT/PUSAT) |
|---|
| a |
Fakulti Sains dan Teknologi |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) |
|---|
| Library |
PERPUSTAKAAN TUN SERI LANANG |
| Operator's initials, OID (RLIN) |
2015-11-03 |
| Cataloger's initials, CIN (RLIN) |
m |
| Material Type (Sierra) |
Printed Books |
| Language |
English |
| Country |
|
| -- |
0 |
| -- |
.b16104201 |
