Best of
Nerd

1995

Linear Algebra Problem Book


Paul R. Halmos - 1995
    The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how to teach and learn mathematics by 'doing' mathematics. It will work well for classes taught in small groups and can also be used for self-study. After working their way through the book, students will understand not only the theorems of linear algebra, but also some of the questions which were asked which enabled the theorems to be discovered in the first place. They will gain confidence in their problem solving abilities and be better prepared to understand more advanced courses. As the author explains, 'I don't think I understand a subject until I know the questions I wrote this book to organize those questions, problems, in my own mind.' Try this book with your students and they too will be able to organize and understand the questions of linear algebra."

Zhou: Robust Optimal Control _p1


Kemin Zhou - 1995
    a control theory in general. It offers as self-contained a presentation as possible and, for reference sake, includes many background results on linear systems, the theory and application of Riccati equations and model reduction.

Grinning Jack


Brian Patten - 1995
    They are drawn from and replace a number of earlier collections to create a companion volume to Love Poems. The journey begins with a child in a playground and ends with an adult lamenting the loss of close friends.