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Compact Time builds a scientific case that the Earth, with all its living creatures, is actually thousands of years old, not the millions so widely accepted. This unconventional book takes readers on a journey of discovery into the realm of time – re-examining the very history of the Earth. It highlights the fallacies of methods currently applied to timing Earth history and then draws attention to the radiocarbon dating technique. Radiocarbon decays away in only thousands of years and undecayed, radiocarbon permeates the whole geologic column; it’s even in fossil dinosaur bones. This implies a compact timescale of only thousands of years for the whole span of life on Earth. Historical, geological and paleontological lines of evidence supporting this new theory are examined. The implications for understanding human history and the religious significance are assessed within Compact Time.
In an age of catastrophes—unchecked climate change, extreme poverty, forced migrations, war, and terror, all compounded by the COVID-19 pandemic—how can schooling be reengineered and education reimagined? This book calls for a new global approach to education that responds to these overlapping crises in order to enrich and enhance the lives of children everywhere. Marcelo Suárez-Orozco and Carola Suárez-Orozco convene scholars and practitioners from a range of disciplines—including anthropology, neuroscience, demography, psychology, child development, sociology, and economics—who offer incisive essays on the global state of education. Contributors consider how educational policy and practice can foster social inclusion and improve outcomes for all children. They emphasize the centrality of education to social and environmental justice, as well as the philosophical foundations of education and its centrality to human flourishing, personal dignity, and sustainable development. Chapters examine topics such as the neuroscience of education; the uses of technology to engage children who are not reached by traditional schooling; education for climate change; the education of immigrants, refugees, and the forcibly displaced; and how to address and mitigate the effects of inequality and xenophobia in the classroom. Global and interdisciplinary, Education speaks directly to urgent contemporary challenges. Contributors include Stefania Giannini, the director of education for UNESCO; development economist Jeffrey Sachs; cognitive psychologist Howard Gardner; Carla Rinaldi, president of the Reggio Children Foundation; and academics from leading global universities. The book features a foreword by Pope Francis.
Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject. Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics.
This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for
The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to go on to read more advanced texts and research papers. The book begins with the development of the basic ideas of hedging and pricing of European and American derivatives in thediscrete (i.e., discrete time and discrete state) setting of binomial tree models. Then a general discrete finite market model is introduced, and the fundamental theorems of asset pricing are proved in this setting. Tools from probability such as conditional expectation, filtration, (super)martingale,equivalent martingale measure, and martingale representation are all used first in this simple discrete framework. This provides a bridge to the continuous (time and state) setting, which requires the additional concepts of Brownian motion and stochastic calculus. The simplest model in the continuous setting is the famous Black-Scholes model, for which pricing and hedging of European and American derivatives are developed. The book concludes with a description of the fundamental theorems for acontinuous market model that generalizes the simple Black-Scholes model in several direct
The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathematicians from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schrödinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research.​
This volume contains the proceedings of Analysis and Design of Hybrid Systems 2006: the 2nd IFAC Conference on Analysis and Design of Hybrid Systems, organized in Alghero (Italy) on June 7-9, 2006. ADHS is a series of triennial meetings that aims to bring together researchers and practitioners with a background in control and computer science to provide a survey of the advances in the field of hybrid systems, and of their ability to take up the challenge of analysis, design and verification of efficient and reliable control systems. ADHS'06 is the second Conference of this series after ADHS'03 in Saint Malo. - 65 papers selected through careful reviewing process - Plenary lectures presented by three distinguished speakers - Featuring interesting new research topics
String Theory is our current best candidate for the unification of all fundamental forces, including gravity, in a consistent quantum framework. In this collection of lectures delivered at the Cargèse Summer School "String Theory: from Gauge Interactions to Cosmology'', world leading experts provide an up-to-date survey of the latest developments in this topic, including the gauge/gravity correspondence, superstring cosmology and cosmic strings, topological string theory and matrix models, physics beyond the standard model and the landscape of vacua of string theory, conformal field theory and critical phenomena in statistical mechanics. Many more topics are also discussed in shorter contributions by School participants. Written with an emphasis on pedagogy, this volume will be a invaluable resource to students and experts alike.