front cover of Implementing Typed Feature Structure Grammars
Implementing Typed Feature Structure Grammars
Ann Copestake
CSLI, 2001
Much of the work in modern formal linguistics is concerned with creating mathematically precise accounts of human languages—accounts that are particularly useful in research involving language processing with computers. Implementing Typed Feature Structure Grammars provides a student-level introduction to the most popular approach to this issue, and includes software that allows users to experiment with modeling different aspects of language.
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Infinite-Dimensional Optimization and Convexity
Ivar Ekeland and Thomas Turnbull
University of Chicago Press, 1983
In this volume, Ekeland and Turnbull are mainly concerned with existence theory. They seek to determine whether, when given an optimization problem consisting of minimizing a functional over some feasible set, an optimal solution—a minimizer—may be found.
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An Introduction to Mathematical Statistics
Fetsje Bijma, Marianne Jonker, and Aad van der Vaart
Amsterdam University Press, 2017
Statistics is the science that focuses on drawing conclusions from data, by modeling and analyzing the data using probabilistic models. In An Introduction to Mathematical Statistics the authors describe key concepts from statistics and give a mathematical basis for important statistical methods. Much attention is paid to the sound application of those methods to data. The three main topics in statistics are estimators, tests, and confidence regions. The authors illustrate these in many examples, with a separate chapter on regression models, including linear regression and analysis of variance. They also discuss the optimality of estimators and tests, as well as the selection of the best-fitting model. Each chapter ends with a case study in which the described statistical methods are applied. This book assumes a basic knowledge of probability theory, calculus, and linear algebra. Several annexes are available for Mathematical Statistics on this page.
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Introduction to RF Stealth
David L. Lynch Jr.
The Institution of Engineering and Technology, 2004
This is the only book focused on the complete aspects of RF Stealth design. It is the first book to present and explain first order methods for the design of active and passive stealth properties. Everything from Electronic Order of Battle to key component design is covered.
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Introductory Econometrics
Arthur S. Goldberger
Harvard University Press, 1998

This is a textbook for the standard undergraduate econometrics course. Its only prerequisites are a semester course in statistics and one in differential calculus. Arthur Goldberger, an outstanding researcher and teacher of econometrics, views the subject as a tool of empirical inquiry rather than as a collection of arcane procedures. The central issue in such inquiry is how one variable is related to one or more others. Goldberger takes this to mean "How does the average value of one variable vary with one or more others?" and so takes the population conditional mean function as the target of empirical research.

The structure of the book is similar to that of Goldberger's graduate-level textbook, A Course in Econometrics, but the new book is richer in empirical material, makes no use of matrix algebra, and is primarily discursive in style. A great strength is that it is both intuitive and formal, with ideas and methods building on one another until the text presents fairly complicated ideas and proofs that are often avoided in undergraduate econometrics.

To help students master the tools of econometrics, Goldberger provides many theoretical and empirical exercises and real micro-and macroeconomic data sets. The data sets, available for download at www.hup.harvard.edu/features/golint/, deal with earnings and education, money demand, firm investment, stock prices, compensation and productivity, and the Phillips curve.

THE DATA SETS CAN BE FOUND HERE.

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The Invention of Imagination
Aristotle, Geometry and the Theory of the Psyche
Justin Humphreys
University of Pittsburgh Press, 2023

A Provocative Examination of the Origin of Imagination

Aristotle was the first philosopher to divide the imagination—what he called phantasia—from other parts of the psyche, placing it between perception and intellect. A mathematician and philosopher of mathematical sciences, Aristotle was puzzled by the problem of geometrical cognition—which depends on the ability to “produce” and “see” a multitude of immaterial objects—and so he introduced the category of internal appearances produced by a new part of the psyche, the imagination. As Justin Humphreys argues, Aristotle developed his theory of imagination in part to explain certain functions of reason with a psychological rather than metaphysical framework. Investigating the background of this conceptual development, The Invention of Imagination reveals how imagery was introduced into systematic psychology in fifth-century Athens and ultimately made mathematical science possible. It offers new insights about major philosophers in the Greek tradition and significant events in the emergence of ancient mathematics while offering space for a critical reflection on how we understand ourselves as thinking beings. 
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Inversions
I. Ya. Bakel'man
University of Chicago Press, 1975
In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory of inversions to classical construction problems in the plane.

The author also discusses the theory of pencils of circles, and he uses the acquired techniques in a proof of Ptolemy's theorem. In the final chapter, the idea of a group is introduced with applications of group theory to geometry. The author demonstrates the group-theoretic basis for the distinction between Euclidean and Lobachevskian geometry.
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