Results by title

209 books match the query 'Mathematics' and 5 start with i

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.
[more]
cover of Indecomposable Continuum: Topology and the Arts in Japan

Indecomposable Continuum

Topology and the Arts in Japan

Steven C. Ridgely

University of Minnesota Press, 2027

Locating the diffusion of mathematical concepts into modern literature, experimental music, and critical theory in twentieth-century Japan

In Indecomposable Continuum, Steven C. Ridgely explores where theoretical mathematics meets culture in twentieth-century Japan, tracing how concepts from relativity theory and topology migrated into Japanese art and literature. Through readings of avant-garde fiction, experimental sound practices, and postmodern theory, Ridgely demonstrates how topology became a language for rethinking space and perception.

Ridgely focuses on abstract models such as the Klein bottle, non-Euclidean geometry, and the Lakes of Wada to reveal how Japanese artists and intellectuals like Yuasa Jōji, Inagaki Taruho, and Asada Akira transformed difficult mathematical ideas into powerful aesthetic and social imaginaries in surprising and clever ways. Rather than treating mathematics as separate from cultural studies, Ridgely positions topology itself as a cultural form whose abstractions generated new possibilities for artistic creation and theoretical inquiry in music, novels, and popular media.

Indecomposable Continuum demonstrates how Japanese artists made seemingly impossible abstractions accessible and compelling, revealing the unexpected creativity that emerged when modern mathematics entered the cultural sphere. In doing so, the book offers a fresh perspective on the relationship between scientific thought and artistic modernism in Japan.

Retail e-book files for this title are screen-reader friendly with images accompanied by short alt text and/or extended descriptions.

[more]
cover of Infinite-Dimensional Optimization and Convexity

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.
[more]
cover of Introduction to RF Stealth

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.
[more]
cover of Inversions

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.
[more]