Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas - Couverture souple

Bernstein, Dennis S.

 
9780691176536: Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas

Synopsis

The essential reference book on matrices--now fully updated and expanded, with new material on scalar and vector mathematics

Since 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.

Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.

  • Fully updated and expanded with new material on scalar and vector mathematics
  • Covers the latest results in matrix theory
  • Provides a list of symbols and a summary of conventions for easy and precise use
  • Includes an extensive bibliography with back-referencing plus an author index

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dennis S. Bernstein is professor of aerospace engineering at the University of Michigan.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780691151205: Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas

Edition présentée

ISBN 10 :  0691151202 ISBN 13 :  9780691151205
Editeur : Princeton University Press, 2018
Couverture rigide