000 nam a22 7a 4500
999 _c29035
_d29035
008 180906b xxu||||| |||| 00| 0 eng d
020 _a9780691176536
082 _a512.9434
_bBER
100 _aBernstein, Dennis S.
245 _aScalar, vector, and matrix mathematics theory, facts, and formulas
250 _arev. ed.
260 _bPrinceton University Press,
_c2018
_aNew Jersey:
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