Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas - Revised and Expanded Edition

Book Details:

• Publisher: Princeton University Press

• Author: Dennis S. Bernstein

• Language: English

• Edition: Revised and Expanded

• ISBN: 9780691176536

• Pages: 1600

• Cover: Paperback

• Dimensions: 10.0 x 7.0 x 3.3 inches

About the Book:

Scalar, Vector, and Matrix Mathematics by Dennis S. Bernstein is the definitive reference on matrix theory, now fully updated and expanded in its revised edition. A staple in the fields of engineering, science, and applied mathematics, this book offers an exhaustive resource for users of matrices, from foundational concepts to the latest advancements in matrix theory.

The book begins with essential preliminaries on sets, logic, relations, and functions, ensuring that readers have a solid grounding before diving into more advanced topics. Bernstein then systematically covers all the major topics in matrix theory, including transformations, decompositions, polynomial matrices, generalized inverses, and norms. Additional chapters expand on topics such as graphs, groups, convex functions, polynomials, and linear systems.

This expanded edition includes new material on scalar inequalities, geometry, combinatorics, series, and integrals, making it more comprehensive than ever before. Each chapter is designed with clarity, offering rigorous explanations along with hundreds of identities, inequalities, and facts. Cross-references, citations, and helpful comments throughout the text enhance its accessibility and ease of use.

The book also features an extensive set of tools to make the content more navigable, including a detailed list of symbols, a summary of notation and conventions, an exhaustive subject index, and a comprehensive bibliography with back-referencing. The author index with page references further aids quick access to specific topics.

Whether you are a student, researcher, or professional, Scalar, Vector, and Matrix Mathematics is an invaluable resource that provides a thorough understanding of matrix theory and its applications across various disciplines. This book is essential for anyone seeking a deep and practical knowledge of this core area in mathematics.