B Be Positive

Electrons, Neutrons and Protons in Engineering focuses on the engineering significance of electrons, neutrons, and protons. The emphasis is on engineering materials and processes whose characteristics may be explained by considering the behavior of small particles when grouped into systems such as nuclei, atoms, gases, and crystals. This volume is comprised of 25 chapters and begins with an overview of the relation between science and engineering, followed by a discussion on the microscopic and macroscopic domains of matter. The next chapter presents the basic relations involving mechanics, electricity and magnetism, light, heat, and related subjects which are most significant in the study of modern physical science. Subsequent chapters explore the nucleus and structure of an atom; the concept of binding forces and binding energy; the configuration of the system of the electrons surrounding the atomic nucleus; physical and chemical properties of atoms; and the structure of gases and solids. The energy levels of groups of particles are also considered, along with the Schrödinger equation and electrical conduction through gases and solids. The remaining chapters are devoted to nuclear fission, nuclear reactors, and radiation. This book will appeal to physicists, engineers, and mathematicians as well as students and researchers in those fields.

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students. By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.

This book grew out of lecture notes I used in a course on difference equations that I taught at Trinity University for the past five years. The classes were largely pop ulated by juniors and seniors majoring in Mathematics, Engineering, Chemistry, Computer Science, and Physics. This book is intended to be used as a textbook for a course on difference equations at the level of both advanced undergraduate and beginning graduate. It may also be used as a supplement for engineering courses on discrete systems and control theory. The main prerequisites for most of the material in this book are calculus and linear algebra. However, some topics in later chapters may require some rudiments of advanced calculus. Since many of the chapters in the book are independent, the instructor has great flexibility in choosing topics for the first one-semester course. A diagram showing the interdependence of the chapters in the book appears following the preface. This book presents the current state of affairs in many areas such as stability, Z-transform, asymptoticity, oscillations and control theory. However, this book is by no means encyclopedic and does not contain many important topics, such as Numerical Analysis, Combinatorics, Special functions and orthogonal polyno mials, boundary value problems, partial difference equations, chaos theory, and fractals. The nonselection of these topics is dictated not only by the limitations imposed by the elementary nature of this book, but also by the research interest (or lack thereof) of the author.

Interpreting ""quantized coefficients"" as finite rank operators in a fixed Hilbert space allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject.