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The Knickerbocker
The Netherlands magazine.
Judgement and Salvation
This volume deals with the redaction history of the Book of Micah vis-à-vis the alternation of the oracles of judgement and the oracles of salvation in chapters 2-5. The first part of the book offers a brief discussion of the most important hypotheses to account for the alternation of doom and hope that have been put forward over the last three or four decades: the composition model, the dialogue model and the redaction-historical model. The second part of the book offers a detailed study of the text of Micah 2-5 followed by a thorough analysis of the form and literary development of the individual pericopes. The study is concluded by a fresh presentation of the redaction history of the Book of Micah.
Control Theoretic Splines
Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these proble...
Beyond the witch trials
This electronic version has been made available under a Creative Commons (BY-NC-ND) open access license. This book looks at aspects of the continuation of witchcraft and magic in Europe from the last of the secular and ecclesiastical trials during the late seventeenth and early eighteenth centuries, through to the nineteenth century. It provides a brief outline of witch trials in late seventeenth- and early eighteenth-century Finland. By the second half of the seventeenth century, as the witch trials reached their climax in Sweden, belief in the interventionist powers of the Devil had become a major preoccupation of the educated classes. Having acknowledged the slight possibility of real pos...
The Traveling Salesman Problem
This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.
Totally Nonnegative Matrices
Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow develo...
