000 | nam a22 7a 4500 | ||
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_c29035 _d29035 |
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008 | 180906b xxu||||| |||| 00| 0 eng d | ||
020 | _a9780691176536 | ||
082 |
_a512.9434 _bBER |
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100 | _aBernstein, Dennis S. | ||
245 | _aScalar, vector, and matrix mathematics theory, facts, and formulas | ||
250 | _arev. ed. | ||
260 |
_bPrinceton University Press, _c2018 _aNew Jersey: |
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300 |
_axliii, 1547 p. ; _c25.4 cm. |
||
365 |
_aUS$ _b99.50 |
||
504 | _aIncludes bibliographical references and index | ||
520 | _aSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. | ||
650 | _aMatrices | ||
650 | _aLinear systems | ||
650 | _aScalar field theory | ||
650 | _aVector analysis | ||
650 | _aTrigonometric functions | ||
942 |
_2ddc _cBK |