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The Mathematics of Harmony
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golde...
Around the Research of Vladimir Maz'ya I
The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists. Sobolev type spaces, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimal Hardy-Sobolev-Maz'ya inequalities, Maz'ya's isocapacitary inequalities in a measure-metric space setting and many other actual topics are discussed.
Discrete Optimization and Operations Research
This book constitutes the proceedings of the 9th International Conference on Discrete Optimization and Operations Research, DOOR 2016, held in Vladivostok, Russia, in September 2016. The 39 full papers presented in this volume were carefully reviewed and selected from 181 submissions. They were organized in topical sections named: discrete optimization; scheduling problems; facility location; mathematical programming; mathematical economics and games; applications of operational research; and short communications.
A Practical Course in Differential Equations and Mathematical Modelling
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author?s own theoretical developments. The book ? which aims to present new mathematical curricula based on symmetry and invariance principles ? is tailored to develop analytic skills and ?working knowledge? in both classical and Lie?s methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author?s extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collge de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.
Numeral Systems With Irrational Bases For Mission-critical Applications
This volume is the result of the author's many-years of research in this field. These results were presented in the author's two books, Introduction to the Algorithmic Measurement Theory (Moscow, Soviet Radio, 1977), and Codes of the Golden Proportion (Moscow, Radio and Communications, 1984), which had not been translated into English and are therefore not known to English-speaking audience. This volume sets forth new informational and arithmetical fundamentals of computer and measurement systems based on Fibonacci p-codes and codes of the golden p-proportions, and also on Bergman's system and 'golden' ternary mirror-symmetrical arithmetic. The book presents some new historical hypotheses concerning the origin of the Egyptian calendar and the Babylonian numeral system with base 60 (dodecahedral hypothesis), as well as about the origin of the Mayan's calendar and their numeral system with base 20 (icosahedral hypothesis). The book is intended for the college and university level. The book will also be of interest to all researchers, who use the golden ratio and Fibonacci numbers in their subject areas, and to all readers who are interested to the history of mathematics.
History of Computing: Learning from the Past
History of Computing: Learning from the Past Why is the history of computing important? Given that the computer, as we now know it, came into existence less than 70 years ago it might seem a little odd to some people that we are concerned with its history. Isn’t history about ‘old things’? Computing, of course, goes back much further than 70 years with many earlier - vices rightly being known as computers, and their history is, of course, important. It is only the history of electronic digital computers that is relatively recent. History is often justified by use of a quote from George Santayana who famously said that: ‘Those who cannot remember the past are condemned to repeat it’...
Reflections on the History of Computing
This book is a collection of refereed invited papers on the history of computing from the 1940s to the 1990s with one paper going back to look at Italian calculating/computing machines from the first century to the 20th century. The 22 papers cover a wide range of computing related topics such as specific early computer systems, their construction, their use and their users; software programming and operating systems; people involved in the theory, design and use of these computers; computer education; and conservation of computing technology. Many of the authors were actually involved in the events they describe and share their specific reflections on the history of computing.
Advances in Systematic Creativity
This book presents a collection of the most current research into systemic creativity and TRIZ, engendering discussion and the exchange of new discoveries in the field. With chapters on idea generation, decision making, creativity support tools, artificial intelligence and literature based discovery, it will include a number of instruments of inventive design automation. Consisting of 15-20 chapters written by leading experts in the theory for inventive problem solving (TRIZ) and adjacent fields focused upon heuristics, the contributions will add to the method of inventive design, dialogue with other tools and methods, and teaching creativity in management education through real-life case studies.
History and Philosophy of Computing
This volume constitutes the refereed post-conference proceedings of the Third International Conference on the History and Philosophy of Computing, held in Pisa, Italy in October 2015. The 18 full papers included in this volume were carefully reviewed and selected from the 30 papers presented at the conference. They cover topics ranging from the world history of computing to the role of computing in the humanities and the arts.
