The Two Faces of American Freedom boldly reinterprets the American political tradition from the colonial period to modern times, placing issues of race relations, immigration, and presidentialism in the context of shifting notions of empire and citizenship. Today, while the U.S. enjoys tremendous military and economic power, citizens are increasingly insulated from everyday decision-making. This was not always the case. America, Aziz Rana argues, began as a settler society grounded in an ideal of freedom as the exercise of continuous self-rule—one that joined direct political participation with economic independence. However, this vision of freedom was politically bound to the subordination of marginalized groups, especially slaves, Native Americans, and women. These practices of liberty and exclusion were not separate currents, but rather two sides of the same coin. However, at crucial moments, social movements sought to imagine freedom without either subordination or empire. By the mid-twentieth century, these efforts failed, resulting in the rise of hierarchical state and corporate institutions. This new framework presented national and economic security as society’s guiding commitments and nurtured a continual extension of America’s global reach. Rana envisions a democratic society that revives settler ideals, but combines them with meaningful inclusion for those currently at the margins of American life.

A Versatile Framework for Handling Subdivided Geometric Objects Combinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing gathers important ideas related to combinatorial maps and explains how the maps are applied in geometric modeling and image processing. It focuses on two subclasses of combinatorial maps: n-Gmaps and n-maps. Suitable for researchers and graduate students in geometric modeling, computational and discrete geometry, computer graphics, and image processing and analysis, the book presents the data structures, operations, and algorithms that are useful in handling subdivided geometric objects. It shows how to study data structures for the explicit representation of subdivided geometric objects and describes operations for handling the structures. The book also illustrates results of the design of data structures and operations.

If any scientific object has over the course of human history aroused the fascination of both scientists and artists worldwide, it is beyond doubt the moon. The moon is also by far the most interesting celestial body when it comes to reflecting on the dualistic nature of photography as applied to the study of the universe. Against this background, Selene’s Two Faces sets out to look at the scientific purpose, aesthetic expression, and influence of early lunar drawings, maps and photographs, including spacecraft imaging. In its approach, Selene’s Two Faces is intermedial, intercultural and interdisciplinary. It brings together not only various media (photography, maps, engravings, lithographs, globes, texts), and cultures (from Europe, America and Asia), but also theoretical perspectives. See inside the book.

Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.

This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplicial sets from the point of view of operads. In this book, the simplicial approach to higher category theory is generalized to a dendroidal approach to higher operad theory. This dendroidal theory of higher operads is carefully developed in this book. The book also provides an original account of the more established simplicial approach to infinity-categories, which is developed in parallel to the dendroidal theory to emphasize the similarities and differences. Simplicial and Dendroidal Homotopy Theory is a complete introduction, carefully written with the beginning researcher in mind and ideally suited for seminars and courses. It can also be used as a standalone introduction to simplicial homotopy theory and to the theory of infinity-categories, or a standalone introduction to the theory of Quillen model categories and Bousfield localization.

The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.