| 书目名称 | Matrices | | 副标题 | Theory and Applicati | | 编辑 | Denis Serre | | 视频video | | | 概述 | Updated edition with 40% new content with a new and more logical structure.Features important material that was not in the first edition, including but not limited to the Dunford decomposition, tensor | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering.With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl‘s and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon. | | 出版日期 | Textbook 2010Latest edition | | 关键词 | Approximation of eigenvalues; Determinant, Pfaffian; Eigenvalue; Eigenvalues, localization; Exponential, | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4419-7683-3 | | isbn_softcover | 978-1-4614-2723-0 | | isbn_ebook | 978-1-4419-7683-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Busines |
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发表于 2025-3-21 18:24:09
