Linear Methods: A General Education Course

ISBN-13: 9781138049215 / Angielski / Miękka / 2018 / 410 str.

David Hecker;Stephen Andrilli (La Salle University)

Opis

Linear Methods: A General Education Course is expressly written for non-mathematical students, particularly freshmen taking a required core mathematics course. Rather than covering a hodgepodge of different topics as is typical for a core mathematics course, this text encourages students to explore one particular branch of mathematics, elementary linear algebra, in some depth. The material is presented in an accessible manner, as opposed to a traditional overly rigorous approach. While introducing students to useful topics in linear algebra, the book also includes a gentle introduction to more abstract facets of the subject.

Spis treści

1. Matrices; 2. Application: Elementary Graph Theory; 3. Vectors; 4. Solving Systems of Linear Equations; 5. Application: Least Squares; 6. Inverses for Matrices; 7. Geometric Transformations with Matrices; Appendices: An Introduction to Logical Statements and Arguments; A: Answers to Odd-Numbered Exercises; B: Properties, Theorems, and Methods; Index