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Advanced Linear Algebra, 2 Revised edition
出版済み 3-5週間でお届けいたします。
Title: Advanced Linear Algebra, 2 Revised edition Subtitle: A Concise Text with Contemporary Applications Author: Yang, Yisong (New York University) Publisher: Cambridge University Press ISBN: 9781009589840 Cover: PAPERBACK Date: 2025年06月 DESCRIPTION 線形代数の中核的なテーマを網羅し、分析からのアイデアに独自の重点を置いた、学部上級生と初級大学院生のための魅力的な教科書。200を超える新たな演習を収録したこの版では、量子力学、機械学習、データサイエンス、量子情報を含む最新の応用を詳しく取り上げています。 The second edition of this engaging textbook for advanced undergraduate students and beginning graduates covers all the core subjects in linear algebra. It has a unique emphasis on integrating ideas from analysis, in addition to pure algebra, and features a balance of abstraction, practicality, and contemporary applications. Four chapters examine some of the most important of these applications, including quantum mechanics, machine learning, data science, and quantum information. The material is supplemented by a rich collection of exercises designed for students from diverse backgrounds, including a wealth of newly added ones in this edition. Selected solutions are provided at the back of the book for use in self-study, and full solutions are available online to instructors. * Covers all the core topics of linear algebra, approaching many from the viewpoint of analysis * Contains a rich collection of exercises, with a full solution manual available to instructors at www.cambridge.org/Yang2e * Features chapters tackling important contemporary applications, including quantum mechanics, machine learning, data science, and quantum information * Well-motivated presentation avoids unnecessary abstraction, giving readers a clear grasp of the concepts, supplemented with concrete examples where necessary * Demonstrates connections between linear algebra and other important areas TABLE OF CONTENTS Notation and convention 1. Vector spaces 2. Linear mappings 3. Determinants 4. Scalar products 5. Real quadratic forms and self-adjoint mappings 6. Complex quadratic forms and self-adjoint mappings 7. Jordan decomposition 8. Selected topics 9. Excursion: Quantum mechanics in a nutshell 10. Excursion: Problems in machine learning 11. Excursion: Problems in data analysis 12. Excursion: Multilinear algebra 13. Excursion: Essentials of quantum information and quantum entanglement Solutions to selected problems Bibliographic notes Bibliography Index. 最近チェックした商品
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