This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lszlo Fejes Tth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.

This book constitutes the thoroughly refereed post-conference proceedings of the 18th Japanese Conference on Discrete and Computational Geometry and Graphs, JDCDGG 2015, held in Kyoto, Japan, in September 2015. The total of 25 papers included in this volume was carefully reviewed and selected from 64 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics. This proceedings are dedicated to Naoki Katoh on the occasion of his retirement from Kyoto University.

This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.

This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.

If capitalism is such an efficient system, why does 40 percent of all U.S. food production go to waste—while one in six people in the nation face hunger? This startling truth has stirred increasing interest and action of late, but none so radical as that of the freegans, who live on what capitalism throws away—including food culled from supermarket dumpsters. Freegans is a close look at the people in this movement, offering a broader perspective on ethical consumption and the changing nature of capitalism. Freegans object to the overconsumption and environmental degradation on which they claim our economic order depends, and they register that dissent by opting out of it, recovering, redistributing, and consuming wasted goods, from dumpster-dived food to cast-off clothes and furniture. Through several years of fieldwork and in-depth interviews with freegans in New York City, Alex Barnard has created a portrait of freegans that leads to questions about ethical consumption—like buying organic, fair trade, or vegan—and the search for effective forms of action in an era of political disillusionment. Barnard’s analysis of this pressing concern reveals how waste is integrally bound up with our food system. At the same time, by showing that markets do not seamlessly translate preferences expressed at the cash register into changes in production, Freegans exposes the limits of consumer activism.