How I Survived Linear Algebra: A Course in Vectors, Matrices, and Linear Maps
暫譯: 我如何生存線性代數：向量、矩陣與線性映射的課程

How I Survived Linear Algebra is a clear, structured, and accessible introduction to one of the most fundamental subjects in mathematics.

Designed for undergraduate students and self-learners, this book guides the reader from the basic language of vectors to the core concepts of linear maps, matrices, eigenvalues, and orthogonality. Each chapter is carefully organized to build intuition before formalism, allowing the reader to understand not only how to compute, but why the theory works.

Rather than presenting linear algebra as a collection of disconnected techniques, the book emphasizes structure, coherence, and meaning. Key ideas such as span, basis, dimension, and linear transformation are developed progressively, with a constant focus on interpretation and clarity.

The text includes numerous examples and exercises, ranging from fundamental computations to more conceptual problems, making it suitable both for coursework and independent study.

This book is ideal for:

• students encountering linear algebra for the first time

• readers who want a deeper conceptual understanding beyond formulas

• anyone looking for a clean and coherent pathway through the subject

Written with a strong pedagogical approach and a distinctive voice, How I Survived Linear Algebra aims to make the subject not only understandable, but intellectually satisfying.