| 000 | 02375cam a2200337 i 4500 | ||
|---|---|---|---|
| 001 | 22734207 | ||
| 003 | OSt | ||
| 005 | 20250430121742.0 | ||
| 008 | 220803s2022 ja b 001 0 eng | ||
| 010 | _a 2022030855 | ||
| 020 | _a9798886130553 (pbk) | ||
| 040 |
_aDLC _beng _erda _cIISERB |
||
| 041 | 1 |
_aeng _hjpn |
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| 042 | _apcc | ||
| 050 | 0 | 0 |
_aTA347.L5 _bM8713 2022 |
| 082 | 0 | 0 |
_a512.5 M94L _223/eng/20220914 |
| 100 | 1 |
_aMurota, Kazuo. _932543 |
|
| 240 | 1 | 0 |
_aSenkei daisū. _lEnglish |
| 245 | 1 | 0 |
_aLinear algebra II: _cKazuo Murota _bAdvanced topics for applications |
| 260 |
_aSingapore: _bWorld Scientific Publishing, _c2024. |
||
| 300 |
_axxii, 253p. _billustrations ; _c24 cm. |
||
| 490 | 0 | _aUTokyo Engineering Course/Basic Mathematics | |
| 500 | _a"These volumes were originally written in Japanese and published from Maruzen Publishing in 2013 and 2015. The present English version is their almost faithful translations by the authors"-- preface. | ||
| 504 | _aIncludes bibliographical references and index. | ||
| 505 | 0 | _a[Volume] 2. Advanced topics for applications. | |
| 520 | _a"This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course. The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations. In particular, the following four aspects are emphasized. How matrices arise (discretization of differential equations, description of system structures, description of transition probability) What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices) What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness) How we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)"-- | ||
| 650 | 0 |
_aAlgebras, Linear _vTextbooks. _932544 |
|
| 700 | 1 |
_aSugihara, Masaaki. _932545 |
|
| 906 |
_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg |
||
| 942 |
_2ddc _cBK |
||
| 999 |
_c10966 _d10966 |
||