TAILIEUCHUNG - LECTURES ON APPLIED MATHEMATICS

Then proceed to say that you’re going to explain the maths behind this trick as you go. This works really well if you’ve done a few other tricks already that you have refused to explain. Holding the pack face-down, begin taking a card at time and placing them left to right in three face-up piles, starting at the left each time. As you start doing this, explain that it is a common magic trick to put the cards into multiple piles and then get the volunteer to just say which pile their card went into, but not what the card. | LECTURES ON APPLIED MATHEMATICS Part 1 Linear Algebra Ray M. Bowen Former Professor of Mechanical Engineering President Emeritus Texas A M University College Station Texas Copyright Ray M. Bowen Updated February 2013 PREFACE To Part 1 It is common for Departments of Mathematics to offer a junior-senior level course on Linear Algebra. This book represents one possible course. It evolved from my teaching a junior level course at Texas A M University during the several years I taught after I served as President. I am deeply grateful to the A M Department of Mathematics for allowing this Mechanical Engineer to teach their students. This book is influenced by my earlier textbook with Wang Introductions to Vectors and Tensors Linear and Multilinear Algebra. This book is more elementary and is more applied than the earlier book. However my impression is that this book presents linear algebra in a form that is somewhat more advanced than one finds in contemporary undergraduate linear algebra courses. In any case my classroom experience with this book is that it was well received by most students. As usual with the development of a textbook the students that endured its evolution are due a statement of gratitude for their help. As has been my practice with earlier books this book is available for free download at the site http rbowen or equivalently from the Texas A M University Digital Library s faculty repository http handle 2500. It is inevitable that the book will contain a variety of errors typographical and otherwise. Emails to rbowen@ that identify errors will always be welcome. For as long as mind and body will allow this information will allow me to make corrections and post updated versions of the book. College Station Texas Posted January 2013 . ii CONTENTS Part 1 Linear Algebra Selected Readings for Part 1. 2 CHAPTER 1 Elementary Matrix Theory. 3 Section Basic Matrix Operations. 3 Section .

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