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This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.
Describes the early 18th-century expedition of scientists sent by France and Spain to colonial Peru to measure the degree of equatorial latitude, which could resolve the debate between whether the earth was spherical or flattened at the poles.
This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.
This unique book illustrates the structure of the fascia in the living human being. Dr Guimberteau's photographs provide a detailed account of fascial architecture. The accompanying text explains what the photographs mean, clarifies the importance of the fascia, and sets out the implications of these findings for everyday therapeutic practice. This beautifully illustrated book provides an introduction to Dr Guimberteau's groundbreaking work. He is the first person to publish video "movies" showing the structure of the fascia and how the fascia responds to. Based on what can be seen he has developed his own concept of the multifibrillar structural organisation of the body, wherein the "microvacuole" is the basic functional unit. His films confirm the continuity of fibres throughout the body thereby seeming to confirm the tensegrity theory, which provides the basis of many manual therapy and bodywork teachings. His work ties in with that of Donald Ingber on tensegrity within the cytoskeleton, and adds to the evidence linking the cytoskeleton to the extracellular matrix as described by james Oschman. The book and videos provide, for the first time, an explanatory introduction and explanation of these theories and link them to the visual evidence shown in the video. This material will be highly valued by osteopaths, massage therapists, chiropractors and others as it provides part of the scientific underpinning of their techniques, as well as an explanation of what is happening when they use those techniques to treat their clients. So Guimberteau's material confirms what manual therapists already believed but didn't fully understand. He has provided an explanation of how fascial layers slide over each other and how adjacent structures can move independently in different directions and at different speeds while maintaining the stability of the surrounding tissues.
Presents a history of physics, examining the theories and experimental practices of the science.
The volume gives a discourse on the nature and accomplishments of Egyptian mathematics. The author quotes and discusses interpretations of such authors as Eisenlohr, Griffith, Hultsch, Peet, Struce, Neugebauer, Chace, Glanville, van der Waerden, Bruins, Gillings, and others. (Mathematics)
This book recounts a few ingenious attempts to derive physical theories by reason only, beginning with Descartes' geometric construction of the world, and finishing with recent derivations of quantum mechanics from natural axioms.
For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.