Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Political time is counted not in years, but in issues—the Depression defined the political era of the 1930s just as the Cold War did the 1950s and civil rights the 1960s. In the 1980s, the federal budget loomed as the dominant issue by which all others were considered and has become a concern that catalyzes debate in our nation's capital. In this definitive work, Joseph White and Aaron Wildavsky describe and analyze the struggles over taxing and spending from Carter's last year through the Reagan administration. The battle of the budget is largely about defining the role of the government and its relationship to the people. It involves congressional horse-trading, partisan posturing, and technical tricks that affect billions of dollars. It is also a story of politicians operating within constraints set by both public opinion and political interpretation of economic reality. Though budgeting has always been important, its impact on the national agenda has grown dramatically. Based on documentary sources and extensive interviews with participants, The Deficit and the Public Interest explains how budgeting works so the reader can see what is at stake in seemingly arcane disputes. It also explains the relationship of the budget to the media as well as to party and policy activists and explores the ways in which the deficit represents a crisis of confidence in our institutions, preeminently Congress and the presidency. Along the way, it provides a uniquely comprehensive account of the entire budget problem, exploring Gramm-Rudman, tax reform, and the continuing political gridlock. The authors demonstrate that institutions have performed better than their members and critics believe, and they contend that extreme solutions to the deficit would likely be much worse than the original problems. Redefining the problem as one of reducing interest costs so the deficit becomes manageable, they proffer political advice on how to make this approach politically acceptable, both at home and abroad. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1989.
"Better Buses, Better Cities is likely the best book ever written on improving bus service in the United States." — Randy Shaw, Beyond Chron "The ultimate roadmap for how to make the bus great again in your city." — Spacing "The definitive volume on how to make bus frequent, fast, reliable, welcoming, and respected..." — Streetsblog Imagine a bus system that is fast, frequent, and reliable—what would that change about your city? Buses can and should be the cornerstone of urban transportation. They offer affordable mobility and can connect citizens with every aspect of their lives. But in the US, they have long been an afterthought in budgeting and planning. With a compelling narrative and actionable steps, Better Buses, Better Cities inspires us to fix the bus. Transit expert Steven Higashide shows us what a successful bus system looks like with real-world stories of reform—such as Houston redrawing its bus network overnight, Boston making room on its streets to put buses first, and Indianapolis winning better bus service on Election Day. Higashide shows how to marshal the public in support of better buses and how new technologies can keep buses on time and make complex transit systems understandable. Higashide argues that better bus systems will create better cities for all citizens. The consequences of subpar transit service fall most heavily on vulnerable members of society. Transit systems should be planned to be inclusive and provide better service for all. These are difficult tasks that require institutional culture shifts; doing all of them requires resilient organizations and transformational leadership. Better bus service is key to making our cities better for all citizens. Better Buses, Better Cities describes how decision-makers, philanthropists, activists, and public agency leaders can work together to make the bus a win in any city.
In this authoritative work, Seiler and Seiler argues that the establishment and development of moviegoing and movie exhibition in Prairie Canada is best understood in the context of changing late-nineteenth-century and early-twentieth-century social, economic, and technological developments. From the first entrepreneurs who attempted to lure customers in to movie exhibition halls, to the digital revolution and its impact on moviegoing, Reel Time highlights the pivotal role of amusement venues in shaping the leisure activities of working- and middle-class people across North America.
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".