标量，矢量和矩阵数学：理论，事实和公式（修订） Scalar, Vector, and Matrix Mathematics : Theory, Facts, and Formulas - Revised and Expanded Edition

基本信息

ISBN-13：9780691176536

ISBN-10：0691176531

Author：Dennis S. Bernstein

Publisher：Princeton University Press

Imprint：Princeton University Press

Format：Paperback

Number of Pages：1600

Release Date：7 May 2018

Weight：2.38kg

Dimensions：254mm x 178mm

信息仅供参考，具体请以实物为准

书籍简介

矩阵理论基本参考书——现已全面更新扩充，新增标量和向量数学内容

自初版以来，本书已成为工程、科学和应用数学各领域矩阵用户基本的参考书。在本次修订扩充版中，丹尼斯·伯恩斯坦将丰富的标量和向量数学内容与矩阵理论的新成果相结合，使其成为该领域全面、新颖且易用的著作。

每章均先介绍相关的理论背景，再阐述具体的成果。数百个恒等式、不等式和事实均以清晰严谨的方式呈现，并附有交叉引用、文献引证和有益的注释。本书从集合、逻辑、关系和函数等预备知识入手，涵盖了矩阵理论的所有主要主题，例如变换和分解、多项式矩阵、广义逆矩阵和范数。此外，本书还涉及图论、群论、凸函数、多项式和线性系统等主题。本书还新增了大量关于标量不等式、几何、组合数学、级数、积分等方面的全新内容。

《标量、向量和矩阵数学》一书内容比以往更加全面，包含详细的符号列表、符号和约定概述、详尽的参考文献和带页码的作者索引，以及详尽的主题索引。

●本书已全面更新和扩展，新增了关于标量和向量数学的内容

●涵盖矩阵理论的新成果

●提供符号列表和约定概述，方便读者轻松准确地使用

●包含详尽的参考文献（带反向引用）和作者索引

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

作者简介

丹尼斯·S·伯恩斯坦是密歇根大学航空航天工程系的教授。

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