Scalar, Vector, and Matrix Mathematics (Paperback)

Dennis S. Bernstein

ISBN 10: 0691176531 / ISBN 13: 9780691176536

Published by Princeton University Press, New Jersey, 2018

About this Item

Paperback. 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 "Revised and expanded edition of Matrix mathematics, retitled Scalar, vector, and matrix mathematics"--Preface. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780691176536

Bibliographic Details

• Title: Scalar, Vector, and Matrix Mathematics (Paperback)
• Publisher: Princeton University Press, New Jersey
• Publication Date: 2018
• Language: English
• ISBN 10: 0691176531
• ISBN 13: 9780691176536
• Binding: Paperback
• Condition: new

About this title

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

About the Author

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