Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers.
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
A critical history of the pioneering art and technology group Mobile Image and their prescient work in communications, networking, and information systems. In The Future Is Present, Philip Glahn and Cary Levine tell the fascinating history of the visionary art group Mobile Image—founded by Kit Galloway and Sherrie Rabinowitz in 1977—which appropriated emerging technologies, from satellites to electronic message platforms. Based in Los Angeles, this under-studied collective worked amid urban crisis, a techno-boom, consolidating media power, and ascendant neoliberal politics. Mobile Image challenged fundamental conventions of the public sphere, democracy, communication, and political participation, as well as notions of power, representation, and identity. Glahn and Levine argue not only for the historical importance of Mobile Image, but also for a critical artistic process that is at once analytic and transformative. They weave themes such as embodiment and its mediation, public/private dialectics, and techno-utopian vision throughout the book, binding these projects to discourses around race, gender, and class, as well as margin and center, the local and the global. In today’s world of ubiquitous digital re/production, networking, and social media, The Future Is Present shows how the work of Mobile Image continues to have profound implications for art, technology, and the politics of public and private experience.
The Damascus Document is the most important witness to the origins of the Qumran community. The author surveys previous research, with particular emphasis on the syntheses of H. Stegemann and J. Murphy-O'Connor. A more comprehensive view of the redaction and ideology of the document is offered, leading to the conclusion that it is originally a product of a community which traced its origins to the Babylonian exile. The extant Cairo manuscripts represent a Qumran recension, confirming the opinion of many scholars that the Qumran community originated as a splinter movement from an earlier and larger community. The Hebrew text and a translation are provided.
This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.
This book compares New Testament and Rabbinical texts in order to recover the oral tradition accompanying the written Biblical text. Although New Testament Greek is a hellenistic idiom, it reflects a Semitic rather than a hellenistic culture. Therefore, Culbertson looks to Jewish sources in order to understand the Greek text, rather than to the philosophical, methodological, and literary sources of hellenistic culture. The author uses specific examples to illustrate various literary theories and to prove the value of a Listener Response Analysis of Gospel texts. A dozen parables are discussed in detail.
Building Electro-Optical Systems In the newly revised third edition of Building Electro-Optical Systems: Making It All Work, renowned Dr. Philip C. D. Hobbs delivers a birds-eye view of all the topics you’ll need to understand for successful optical instrument design and construction. The author draws on his own work as an applied physicist and consultant with over a decade of experience in designing and constructing electro-optical systems from beginning to end. The book’s topics are chosen to allow readers in a variety of disciplines and fields to quickly and confidently decide whether a given device or technique is appropriate for their needs. Using accessible prose and intuitive organization, Building Electro-Optical Systems remains one of the most practical and solution-oriented resources available to graduate students and professionals. The newest edition includes comprehensive revisions that reflect progress in the field of electro-optical instrument design and construction since the second edition was published. It also offers approximately 350 illustrations for visually oriented learners. Readers will also enjoy: A thorough introduction to basic optical calculations, including wave propagation, detection, coherent detection, and interferometers Practical discussions of sources and illuminators, including radiometry, continuum sources, incoherent line sources, lasers, laser noise, and diode laser coherence control Explorations of optical detection, including photodetection in semiconductors and signal-to-noise ratios Full treatments of lenses, prisms, and mirrors, as well as coatings, filters, and surface finishes, and polarization Perfect for graduate students in physics, electrical engineering, optics, and optical engineering, Building Electro-Optical Systems is also an ideal resource for professional designers working in optics, electro-optics, analog electronics, and photonics.
From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.
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