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1. Linear Systems 2. Vector Spaces 3. Maps Between Spaces 4. Determinants 5. Similarity 6. Unitary Transformations
This book discusses proof-based linear algebra. The book was designed specifically for students who have not previously been exposed to mathematics as mathematicians view it: that is, as a subject whose goal is to rigorously prove theorems starting from clear consistent definitions. This book attempts to build students up from a background where mathematics is simply a tool that provides useful calculations to the point where the students have a grasp of the clear and precise nature of mathematics. A more detailed discussion of the prerequisites and goal of this book is given in the introduction. Because of the proof-based nature of this book, readers are recommended to be familiar with mathematical proof before reading this book (although this is not a prerequisite, strictly speaking), so that their reading experiences can be smoother. To gain familiarity with mathematical proof and also some basic mathematical concepts, readers may read the wikibook Mathematical Proof. For a milder introduction to linear algebra that is not too proof-based, see the wikibook Introductory Linear Algebra.
Title: Linear Algebra: An Introduction to Mathematical Discourse Publisher: Wikibooks Year: 2011 Pages: 100 Type: PDF Language: English ISBN-10 #: N\A ISBN-13 #: N\A License: CC BY-SA 4.0 Amazon: Amazon
The author Wikibooks is a free, open-content platform hosted by the Wikimedia Foundation that allows anyone to create, edit, and share educational textbooks. It promotes collaborative learning and open access, providing resources across various academic subjects. All content is available under a Creative Commons license, ensuring global accessibility and continuous improvement by contributors worldwide.
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