Frames for Undergraduates is an undergraduate-level introduction to the theory of frames in a Hilbert space. This book can serve as a text for a special-topics course in frame theory, but it could also be used to teach a second semester of linear algebra, using frames as an application of the theoretical concepts. It can also provide a complete and helpful resource for students doing undergraduate research projects using frames.

The early chapters contain the topics from linear algebra that students need to know in order to read the rest of the book. The later chapters are devoted to advanced topics, which allow students with more experience to study more intricate types of frames. Toward that end, a Student Presentation section gives detailed proofs of fairly technical results with the intention that a student could work out these proofs independently and prepare a presentation to a class or research group. The authors have also presented some stories in the Anecdotes section about how this material has motivated and influenced their students.

Readership

Undergraduate and graduate students interested in linear algebra and applications, and the theory of frames.

Reviews

"The result (of this book) is a concise and accessible treatment that serves well as a semester's text."

-- Mathematical Horizon

"This book would be a good candidate for a topics course or for a second course in linear algebra."

-- MAA Reviews

"the clean conceptual layout of this little text makes it appropriate for a second semester special topics course in linear algebra for mathematics majors and certainly for directed reading for a junior level student who might be contemplating graduate study in mathematics. Exercises are included."

-- Zentralblatt MATH