Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H8 control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems. This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems.

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications.

The sixth edition of Meaningful Statistics introduces students to foundational concepts and demonstrates how statistics are an integral aspect of their everyday lives-from baseball batting averages to reports on the median cost of buying a home to the projected outcomes of an upcoming election. Each chapter begins with a question and scenario that is then explored through statistical concepts, demonstrating to students how research and statistics can help us to answer questions and solve problems. The opening chapter focuses on the process of collecting data and uses this information to explore whether multivitamins are a waste of money. Additional chapters explore linear regression and whether junk food is harmful to a child's IQ; normal distribution and the issue of a tie for Olympic downhill gold; confidence intervals and a simulation of the NBA draft lottery; and more. Students learn about descriptive measures for populations and samples; probability and random variables; and sampling distributions, with each concept corresponding to real-world examples. Closing chapters cover the testing of hypotheses, tests using the chi-square distribution; and inferences with two or more populations. For the sixth edition, exercises and examples have been updated throughout. Designed to bring key concepts to life, Meaningful Statistics is an ideal resource for courses in mathematics and statistics.

In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.

This book examines the true core of philosophy and metaphysics, taking account of quantum and relativity theory as it applies to physical Reality, and develops a line of reasoning that ultimately leads us to Reality as it is currently understood at the most fundamental level - the Standard Model of Elementary Particles. This book develops new formalisms for Logic that are of interest in themselves and also provide a Platonic bridge to Reality. The bridge to Reality will be explored in detail in a subsequent book, Relativistic Quantum Metaphysics: A First Principles Basis for the Standard Model of Elementary Particles. We anticipate that the current "fundamental" level of physical Reality may be based on a still lower level and/or may have additional aspects remaining to be found. However the effects of certain core features such as quantum theory and relativity theory will persist even if a lower level of Reality is found, and these core features suggest the form of a new Metaphysics of physical Reality. We have coined the phrase "Operator Metaphysics" for this new metaphysics of physical Reality. The book starts by describing aspects of Philosophy and Metaphysics relevant to the study of current physical Reality. Part of this development are new Logics, Operator Logic and Quantum Operator Logic, developed in earlier books by this author (and revised and expanded in this book). Using them we are led to develop a connection to the beginnings of The Standard Model of Elementary Particles. While mathematics is essential in the latter stages of the book we have tried to present it with sufficient text discussion to make what it is doing understandable to the non-mathematical reader. Generally we will avoid using the jargon of Philosophy, Logic and Physics as much as possible.