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The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves as an introduction to research in graph theory.
Adrian Vermeule argues that the arc of law has bent steadily toward deference to the administrative state, which has greater democratic legitimacy and technical competence to confront issues such as climate change, terrorism, and biotechnology. The state did not shove lawyers and judges out of the way; they moved freely to the margins of power.
When Chief Justice Taney declared Lincoln’s suspension of habeas corpus unconstitutional and demanded the release of John Merryman, Lincoln defied the order, offering a forceful counter-argument for the constitutionality of his actions. The result was one of the most significant cases in American legal history—a case that resonates in our own time.
In this book, Adrian Vermeule shows that any approach to legal interpretation rests on institutional and empirical premises about the capacities of judges and the systemic effects of their rulings. He argues that legal interpretation is above all an exercise in decisionmaking under severe empirical uncertainty.
How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University o...
We see the stories in the newspaper nearly every day: a drug hailed as a breakthrough treatment turns out to cause harmful side effects; controls implemented to reduce air pollution are shown to generate hazardous solid waste; bans on dangerous chemicals result in the introduction of even more risky substitutes. Could our efforts to protect our health and the environment actually be making things worse? In Risk versus Risk, John D. Graham, Jonathan Baert Wiener, and their colleagues at the Harvard Center for Risk Analysis marshal an impressive set of case studies which demonstrate that all too often our nation's campaign to reduce risks to our health and the environment is at war with itself.
Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.
This textbook covers a diversity of topics in graph and network theory, both from a theoretical standpoint, and from an applied modelling point of view. Mathematica® is used to demonstrate much of the modelling aspects. Graph theory and model building tools are developed in tandem with effective techniques for solving practical problems via computer implementation. The book is designed with three primary readerships in mind. Individual syllabi or suggested sequences for study are provided for each of three student audiences: mathematics, applied mathematics/operations research, and computer science. In addition to the visual appeal of each page, the text contains an abundance of gems. Most ...
A renowned philosopher’s final work, illuminating how the logical empiricist tradition has failed to appreciate the role of actual experiments in forming its philosophy of science. The logical empiricist treatment of physics dominated twentieth-century philosophy of science. But the logical empiricist tradition, for all it accomplished, does not do justice to the way in which empirical evidence functions in modern physics. In his final work, the late philosopher of science William Demopoulos contends that philosophers have failed to provide an adequate epistemology of science because they have failed to appreciate the tightly woven character of theory and evidence. As a consequence, theory...