ABSTRACT

Invitation to Linear Algebra is an informative, clearly written, flexible textbook for instructors and students.

Based on over 30 years of experience as a mathematics professor, the author invites students to develop a more informed understanding of complex algebraic concepts using innovative, easy-to-follow methods.

The book is organized into lessons rather than chapters. This limits the size of the mathematical morsels that students must digest, making it easier for instructors to budget class time.

Each definition is carefully explained with detailed proofs of key theorems, including motivation for each step. This makes the book more flexible, allowing instructors to choose material that reflects their and their students’ interests.

A larger than normal amount of exercises illustrate how linear and nonlinear algebra apply in the students’ areas of study.

Features

  • The book’s unique lesson format enables students to better understand algebraic concepts
  • Students will learn key elements of linear algebra in an enjoyable fashion
  • Large number of exercises illustrate the applications of the course material
  • Allows instructors to create a course around individual lessons
  • Detailed solutions and hints are provided to selected exercises

chapter |50 pages

Unit I: Matrices and Linear Systems

chapter |28 pages

Unit II: Determinants

chapter |48 pages

Unit III: A First Look at Vector Spaces

chapter |48 pages

Unit IV: More About Vector Spaces

chapter |38 pages

Unit V: Linear Transformations

chapter |28 pages

Unit VI: Matrix Diagonalization

chapter |20 pages

Unit VII: Complex Vector Spaces

chapter |60 pages

Unit VIII: Advanced Topics

chapter |28 pages

Unit IX: Applications

chapter |34 pages

Solutions and Hints to Selected Exercises