Preface This book is intended to be used as a text for either undergraduate level (junior/senior) courses in probability or introductory graduate level courses in random processes that are commonly found in Electrical Engineering curricula. Many of these application sections focus on various aspects of telecommunications since this community is one of the major users of probability theory, but there are applications to xi Toward that end, we have included numerous engineering application sections throughout the text to help the instructor tie the probability theory to engineering practice. It has been our experience that most engineering students need to see how the mathematics they are learning relates to engineering practice. While the book provides enough depth to equip students with the necessary tools to study modern communication systems, control systems, signal processing techniques, and many other applications, concepts are explained in a clear and simple manner that makes the text accessible as well. Throughout the text we have gone to great effort to strike a balance between readability and sophistication. Rather, we focus on providing the student with the tools and skills needed to solve problems. It is our belief that the vast majority of engineering problems regarding probability and random processes do not require this level of rigor. Instructors will note that there is no discussion of algebras, Borel fields, or measure theory in this text. It is for this latter purpose that the mathematics is presented in this book. We can marvel at the elegance and rigor, or we can use it to solve problems. Likewise, mathematics can be viewed as an art form or a tool. We can hang the tool on our wall and step back and admire the fine craftmanship used to construct the hammer, or we can pick it up and use it to pound a nail into the wall. Mathematics is much like a well-crafted hammer. While the subject matter is primarily mathematical, it is presented for engineers. This book is intended to be used as a text for either undergraduate level (junior/senior) courses in probability or introductory graduate level courses in random processes that are commonly found in Electrical Engineering curricula.
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