This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

This comprehensive, one-semester introduction to Unix, used at Stanford University, incorporates sound pedagogy along with all the necessary reference material. Begins with the basic commands and finishes with advanced programming techniques. Offers strong coverage of systems calls and contains an excellent problem set.

The use of high-temperature materials in current and future applications, including silicone materials for handling hot foods and metal alloys for developing high-speed aircraft and spacecraft systems, has generated a growing interest in high-temperature technologies. High Temperature Materials and Mechanisms explores a broad range of issues related to high-temperature materials and mechanisms that operate in harsh conditions. While some applications involve the use of materials at high temperatures, others require materials processed at high temperatures for use at room temperature. High-temperature materials must also be resistant to related causes of damage, such as oxidation and corrosion, which are accelerated with increased temperatures. This book examines high-temperature materials and mechanisms from many angles. It covers the topics of processes, materials characterization methods, and the nondestructive evaluation and health monitoring of high-temperature materials and structures. It describes the application of high temperature materials to actuators and sensors, sensor design challenges, as well as various high temperature materials and mechanisms applications and challenges. Utilizing the knowledge of experts in the field, the book considers the multidisciplinary nature of high temperature materials and mechanisms, and covers technology related to several areas including energy, space, aerospace, electronics, and metallurgy. Supplies extensive references at the end of each chapter to enhance further study Addresses related science and engineering disciplines Includes information on drills, actuators, sensors and more A comprehensive resource of information consolidated in one book, this text greatly benefits students in materials science, aerospace and mechanical engineering, and physics. It is also an ideal resource for professionals in the industry.

Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

"Noah Keller has a pretty normal life until one wild afternoon when his parents pick him up from school and head straight for the airport, telling him on the ride that his name isn't really Noah and he didn't really just turn eleven in March ... As Noah, now 'Jonah Brown,' and his parents head behind the Iron Curtain into East Berlin, the rules and secrets begin to pile up so quickly that he can hardly keep track of the questions bubbling up inside him: who, exactly, is listening--and why?"

"In seventeenth-century China, as formerly disparate social spheres grew closer, the theater began to occupy an important ideological niche among traditional cultural elites, and notions of performance and spectatorship came to animate diverse aspects of literati cultural production. In this study of late-imperial Chinese theater, Sophie Volpp offers fresh readings of major texts such as Tang Xianzu’s Peony Pavilion (Mudan ting) and Kong Shangren’s Peach Blossom Fan (Taohua shan), and unveils lesser-known materials such as Wang Jide’s play The Male Queen (Nan wanghou). In doing so, Volpp sheds new light on the capacity of seventeenth-century drama to comment on the cultural politics of the age. Worldly Stage arrives at a conception of theatricality particular to the classical Chinese theater and informed by historical stage practices. The transience of worldly phenomena and the vanity of reputation had long informed the Chinese conception of theatricality. But in the seventeenth century, these notions acquired a new verbalization, as theatrical models of spectatorship were now applied to the contemporary urban social spectacle in which the theater itself was deeply implicated."