Alexei Morozov

A concise and practical guide to succeeding in the undergraduate engineering capstone design project In Engineering Capstone Design Project: Planning, Organizing and Executing, a team of accomplished engineers delivers a practical guide for engineering students undertaking their capstone design project course in the final year of their bachelor program. It covers two aspects of the capstone course: planning and the design process. You'll explore how to organize your team, manage and develop your project, and communicate with clients, advisors, suppliers, and manufacturers. You'll also discover a detailed, step-by-step approach to the design process following the milestones and requirements of engineering capstone design courses. The book focuses on the process of mechanical engineering design but also includes material covering electrical, chemical, biomedical, and control systems engineering design. It also offers several illustrative case studies of successful capstone design projects completed at McGill University. Readers will also find: A thorough introduction to the principles of organization of capstone design courses, including learning attributes and grade attributionComprehensive step-by-step instructions to the design processUseful case studies from academic, industrial, and McGill student design competition capstone projectsExamples and anecdotes drawn from the authorial team's extensive professional and academic experience in engineering design and project advice Perfect for undergraduate students taking the capstone mechanical engineering project course, Engineering Capstone Design Project: Planning, Organizing and Executing will also benefit students of other engineering design courses seeking a clear, step-by-step approach to the design process.

This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations. It reveals the non-linear algebraic activity as an essentially wider and diverse field with its own original methods, of which the linear one is a special restricted case. This volume contains a detailed and comprehensive description of basic objects and fundamental techniques arising from the theory of non-linear equations, which constitute the scope of what should be called non-linear algebra. The objects of non-linear algebra are presented in parallel with the corresponding linear ones, followed by an exposition of specific non-linear properties treated with the use of classical (such as the Koszul complex) and original new tools. This volume extensively uses a new diagram technique and is enriched with a variety of illustrations throughout the text. Thus, most of the material is new and is clearly exposed, starting from the elementary level. With the scope of its perspective applications spreading from general algebra to mathematical physics, it will interest a broad audience of physicists; mathematicians, as well as advanced undergraduate and graduate students.

This book is devoted to the structure of the Mandelbrot set — a remarkable and important feature of modern theoretical physics, related to chaos and fractals and simultaneously to analytical functions, Riemann surfaces, phase transitions and string theory. The Mandelbrot set is one of the bridges connecting the world of chaos and order. The authors restrict consideration to discrete dynamics of a single variable. This restriction preserves the most essential properties of the subject, but drastically simplifies computer simulations and the mathematical formalism. The coverage includes a basic description of the structure of the set of orbits and pre-orbits associated with any map of an analytic space into itself. A detailed study of the space of orbits (the algebraic Julia set) as a whole, together with related attributes, is provided. Also covered are: moduli space in the space of maps and the classification problem for analytic maps, the relation of the moduli space to the bifurcations (topology changes) of the set of orbits, a combinatorial description of the moduli space (Mandelbrot and secondary Mandelbrot sets) and the corresponding invariants (discriminants and resultants), and the construction of the universal discriminant of analytic functions in terms of series coefficients. The book concludes by solving the case of the quadratic map using the theory and methods discussed earlier.