The Mathematical Theory of Bridge: 134 Probability Tables, Their Uses, Simple Formulas, Applications and about 4000 Probabilities

The Mathematical Theory of Bridge: 134 Probability Tables, Their Uses, Simple Formulas, Applications and about 4000 Probabilities

Author: Emile Borel

Publisher: Master Point Press

ISBN: 1771401818

Category: Games & Activities

Page: 536

View: 259

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134 Probability tables, their uses, simple formulas, applications & 4000 probabilities Originally published in 1940, and revised in 1954, this classic work on mathematics and probability as applied to Bridge first appeared in English translation in 1974, but has been unavailable for many years. This new edition corrects numerical errors found in earlier texts; it revises the previous English translation where needed and corrects a number of textual and typographical errors in the 1974 edition. Tables have been included again in the text, as they were in the original edition. The chapter on Contract and Plafond scoring has been retained as continuing to serve its intended purpose. The chapters on shuffling, although no longer applicable to Duplicate Bridge, are included for the benefit of those interested in the mathematics of all card games. All, it is hoped, without too many new errors being introduced.

The Language of Mathematics

The Language of Mathematics

Author: Bill Barton

Publisher: Springer Science & Business Media

ISBN: 9780387728599

Category: Education

Page: 186

View: 448

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The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.

Constructing a Bridge

Constructing a Bridge

Author: Eda Kranakis

Publisher: MIT Press

ISBN: 0262112175

Category: Technology & Engineering

Page: 453

View: 385

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A historical look at styles of technological research and design. If it is true, as Tocqueville suggested, that social and class systems shape technology, research, and knowledge, then the effects should be visible both at the individual level and at the level of technical institutions and local environments. That is the central issue addressed in Constructing a Bridge, a tale of two cultures that investigates how national traditions shape technological communities and their institutions and become embedded in everyday engineering practice. Eda Kranakis first examines these issues in the work of two suspension bridge designers of the early nineteenth century: the American inventor James Finley and the French engineer Claude-Louis-Marie-Henri Navier. Finley--who was oriented toward the needs of rural, frontier communities--designed a bridge that could be easily reproduced and constructed by carpenters and blacksmiths. Navier--whose professional training and career reflected a tradition of monumental architecture and had linked him closely to the Parisian scientific community--designed an elegant, costly, and technically sophisticated structure to be built in an elite district of Paris. Charting the careers of these two technologists and tracing the stories of their bridges, Kranakis reveals how local environments can shape design goals, research practices, and design-to-construction processes. Kranakis then offers a broader look at the technological communities and institutions of nineteenth-century France and America and at their ties to technological practice. She shows how conditions that led to Finley's and Navier's distinct designs also fostered different systems of technical education as well as distinct ideologies and traditions of engineering research.The result of this two-tiered, comparative approach is a reorientation of a historiographic tradition initiated by Tocqueville (and explored more recently by Eugene Ferguson, John Kasson, and others) toward a finer-grained analysis of institutional and local environments as mediators between national traditions and individual styles of technological research and design.

Mathematical Models for Suspension Bridges

Mathematical Models for Suspension Bridges

Author: Filippo Gazzola

Publisher: Springer

ISBN: 9783319154343

Category: Mathematics

Page: 259

View: 714

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This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability.

The Oxford Handbook of Philosophy of Mathematics and Logic

The Oxford Handbook of Philosophy of Mathematics and Logic

Author: Stewart Shapiro

Publisher: Oxford University Press

ISBN: 9780190287535

Category: Mathematics

Page: 856

View: 413

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Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.