This book explores the limits of our knowledge. The author shows how uncertainty and indefiniteness not only define the borders confining our understanding, but how they feed into the process of discovery and help to push back these borders. Starting with physics the author collects examples from economics, neurophysiology, history, ecology and philosophy. The first part shows how informatio…
This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operato…
This book discusses the philosophy and educational reforms initiated by Wilhelm von Humboldt as well as their legacy in the modern university system. It begins with a discussion of the history of the university from antiquity and the Middle Ages through the era of Humboldt’s reforms and its remnants in and implications for the present day. The authors then delve into policy, outlining the key…
This book enables readers who may not be familiar with matrices to understand a variety of multivariate analysis procedures in matrix forms. Another feature of the book is that it emphasizes what model underlies a procedure and what objective function is optimized for fitting the model to data. The author believes that the matrix-based learning of such models and objective functions is the fast…
This book constitutes the refereed proceedings of the Third Iberoamerican Conference on Applications and Usability of Interactive TV, jAUTI 2014, and the Third Workshop on Interactive Digital TV, WTVDI 2014, held as part of Webmedia 2014, João Pessoa, Brazil, in November 2014. The 10 revised full papers presented were carefully reviewed and selected from 26 submissions. The papers are organize…
This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in nume…
This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).
This book constitutes the refereed proceedings of the International Conference on Applications and Techniques in Information Security, ATIS 2015, held in Beijing, China, in November 2015. The 25 revised full papers and 10 short papers presented were carefully reviewed and selected from 103 submissions. The papers are organized in topical sections on invited speeches; cryptograph; evaluation, …
This book is a collection of papers presented at the conference “Forum Math-for-Industry 2014” for which the unifying theme was “Applications + Practical Conceptualization + Mathematics = fruitful Innovation” in October 2014. This epigram encapsulates the dynamics of the process that takes an application through to an innovation. Industrial mathematics can be viewed as the causal engine…
This book addresses the need for improved diagnostic and treatment guidelines for patients in whom total knee arthroplasty (TKA) has had an unsatisfactory outcome. It opens by discussing the basics of TKA and the various causes of failure and pain. Diagnostic aspects are considered in detail, with attention to advances in clinical investigation, laboratory analysis and in particular, imaging te…