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A Natural Introduction to Probability Theory
Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.
Probability and Forensic Evidence
A self-contained examination of all aspects of statistical evidence evaluation in forensic science, from theory to concrete applications.
Fact or Fluke?
Statistics is more topical than ever. Numerous decisions depend on statistical considerations: just think of the Corona crisis or decisions about approving new drugs or other products. If researchers announce they have proved some fact using statistical tests, can we then always be sure that their claim is correct? How, and more importantly why, does statistics work? What can we expect from statistics and what not? 'Fact or Fluke?' is not a textbook that explains statistical tests to the reader; instead, it discusses what comes before those tests: the philosophy behind the statistics. Should one carry out tests, or are there other ways to look at statistics? Ronald Meester and Klaas Slooten use a variety of examples – from court cases to theoretical physics – to present different views on statistics and provide arguments for what they think is the best point of view. This book is meant for anyone who is in some way concerned with, or interested in, statistical evidence: scientific researchers, students, teachers, mathematicians, philosophers, lawyers, managers, and no doubt many others.
Continuum Percolation
Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modelled is made up of individual events that overlap, for example, the way individual raindrops eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random connection model, are treated in detail, and related continuum models are discussed. All important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models. This self-contained treatment, assuming only familiarity with measure theory and basic probability theory, will appeal to students and researchers in probability and stochastic geometry.
Continuum Percolation
Many phenomena in physics, chemistry, and biology can be modeled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modeled is made up of individual events that overlap e.g., individual raindrops that eventually make the ground evenly wet. This is a systematic, rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and they discuss related continuum models. Meester and Roy explain all important techniques and methods and apply them to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models.
Creationism in Europe
American creationists’ efforts to export their beliefs have succeeded in Europe beyond their own expectations, winning followers across creed and country. For decades, the creationist movement was primarily situated in the United States. Then, in the 1970s, American creationists found their ideas welcomed abroad, first in Australia and New Zealand, then in Korea, India, South Africa, Brazil, and elsewhere—including Europe, where creationism plays an expanding role in public debates about science policy and school curricula. In this, the first comprehensive history of creationism in Europe, leading historians, philosophers, and scientists narrate the rise of—and response to—scientific...
A Natural Introduction to Probability Theory
Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.
Is Nature Ever Evil?
Is Nature Ever Evil?, considers the different ways in which reality is understood between the disciplines of ethics, religion and science focusing on the ethical evaluation of nature itself.
Random Networks for Communication
When is a random network (almost) connected? How much information can it carry? How can you find a particular destination within the network? And how do you approach these questions - and others - when the network is random? The analysis of communication networks requires a fascinating synthesis of random graph theory, stochastic geometry and percolation theory to provide models for both structure and information flow. This book is the first comprehensive introduction for graduate students and scientists to techniques and problems in the field of spatial random networks. The selection of material is driven by applications arising in engineering, and the treatment is both readable and mathematically rigorous. Though mainly concerned with information-flow-related questions motivated by wireless data networks, the models developed are also of interest in a broader context, ranging from engineering to social networks, biology, and physics.
