Linear Algebra

Linear Algebra is intended primarily as an undergraduate textbook but is written in such a way that it can also be a valuable resource for independent learning. The narrative of the book takes a matrix approach: the exposition is intertwined with matrices either as the main subject or as tools to explore the theory. Each chapter contains a description of its aims, a summary at the end of the chapter, exercises, and solutions. The reader is carefully guided through the theory and techniques presented which are outlined throughout in How to... text boxes. Common mistakes and pitfalls are also pointed out as one goes along.

Features

• Written to be self-contained
• Ideal as a primary textbook for an undergraduate course in linear algebra
• Applications of the general theory which are of interest to disciplines outside of mathematics, such as engineering

《線性代數》是一本主要針對大學本科課程的教材，但其寫作方式也使其成為獨立學習的寶貴資源。本書的敘述採用矩陣方法：教材的內容與矩陣密切相關，無論是作為主題還是作為探索理論的工具。每章包含目標描述、章末總結、練習題和解答。通過「如何...」文本框，讀者可以仔細地引導理論和技巧的學習。同時，還會指出常見的錯誤和陷阱。

特點：
- 內容自成體系
- 非常適合作為大學線性代數課程的主要教材
- 涵蓋了一般理論的應用，對於工程等數學以外的學科也具有興趣

Lina Oliveira earned her DPhil in Mathematics from the University of Oxford, UK and is a faculty member of the Department of Mathematics of Instituto Superior T□ecnico, University of Lisbon, Portugal. She has taught several graduate and undergraduate courses at Instituto Superior T□ecnico where she regularly teaches Linear Algebra since 2001. Her research interests are in the areas of Functional Analysis, Operator Algebras and Operator Theory. She is currently the head of the Linear Algebra course at the portuguese Air Force Academy.

Lina Oliveira在英國牛津大學獲得數學博士學位，並擔任葡萄牙里斯本大學理工學院數學系的教職成員。她在里斯本大學理工學院教授過多門研究生和本科課程，並自2001年起定期教授線性代數課程。她的研究興趣涵蓋了函數分析、算子代數和算子理論等領域。她目前擔任葡萄牙空軍學院線性代數課程的負責人。