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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.
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.
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.
Counterfactual Thinking - Counterfactual Writing
Counterfactuality is currently a hotly debated topic. While for some disciplines such as linguistics, cognitive science, or psychology counterfactual scenarios have been an important object of study for quite a while, counterfactual thinking has in recent years emerged as a method of study for other disciplines, most notably the social sciences. This volume provides an overview of the current definitions and uses of the concept of counterfactuality in philosophy, historiography, political sciences, psychology, linguistics, physics, and literary studies. The individual contributions not only engage the controversies that the deployment of counterfactual thinking as a method still generates, they also highlight the concept’s potential to promote interdisciplinary exchange without neglecting the limitations and pitfalls of such a project. Moreover, the essays from literary studies, which make up about half of the volume, provide both a historical and a systematic perspective on the manifold ways in which counterfactual scenarios can be incorporated into and deployed in literary texts.
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.
Featured Reviews in Mathematical Reviews 1997-1999
This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
A Philosophy of Evidence Law
This book examines the legal and moral theory behind the law of evidence and proof, arguing that only by exploring the nature of responsibility in fact-finding can the role and purpose of much of the law be fully understood. Ho argues that the court must not only find the truth to do justice, it must do justice in finding the truth.
Is Nature Ever Evil?
Can nature be evil, or ugly, or wrong? Can we apply moral value to nature? From a compellingly original premise, under the auspices of major thinkers including Mary Midgley, Philip Hefner, Arnold Benz and Keith Ward, Is Nature Ever Evil? examines the value-structure of our cosmos and of the science that seeks to describe it. Science, says editor Willem B. Drees, claims to leave moral questions to aesthetic and religious theory. But the supposed neutrality of the scientific view masks a host of moral assumptions. How does an ethically transparent science arrive at concepts of a 'hostile' universe or a 'selfish' gene? How do botanists, zoologists, cosmologists and geologists respond to the bea...
A Guide to Forensic DNA Profiling
The increasingly arcane world of DNA profiling demands that those needing to understand at least some of it must find a source of reliable and understandable information. Combining material from the successful Wiley Encyclopedia of Forensic Science with newly commissioned and updated material, the Editors have used their own extensive experience in criminal casework across the world to compile an informative guide that will provide knowledge and thought-provoking articles of interest to anyone involved or interested in the use of DNA in the forensic context. Following extensive introductory chapters covering forensic DNA profiling and forensic genetics, this comprehensive volume presents a s...
