When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well.
The Role of Infrastructure for a Safe Transition to Automated Driving contextualizes the latest vehicle and road automation research and technology, focusing on the future role of road infrastructures. The book analyzes the problems an uncontrolled transition will pose and examines ways forward, covering risk, safety, and the influence of human factors in automated vehicles. Automated transport researchers, traffic engineers, and transport and city planners will find the book to be a great resource for addressing the complexity of the period during which both human-driven and automated cars will coexist. This integrated vision of different approaches to vehicle automation will help move the technology forward in a thought-provoking manner. - Introduces the SAE standard, the levels of automation it defines, and the concept of new road infrastructures - Addresses infrastructural and governance challenges and opportunities for automated vehicles - Includes learning tools such as chapters overviews, summaries, and a glossary
When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
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