Linear Algebra and Geometry

ISBN-13: 9781470443504 / Angielski

Albert Cuoco

Opis

Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make linear algebra such an important field. The materials in Linear Algebra and Geometry have been used, field tested, and refined for over two decades. It is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. Secondary teachers will find the emphasis on developing effective habits of mind especially helpful. The book is written in a friendly, approachable voice and contains nearly a thousand problems.

Spis treści

• Points and vectors
• Vector geometry
• The solution of linear systems
• Matrix algebra
• Matrices as functions
• Markov chains
• Vector spaces
• Bases, linear mappings, and matrices
• Determinants and eigentheory
• Index.