This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.

A new edition of the bestselling guide which equips readers with the skills necessary for engaging in ethical reflection The Ethics Toolkit offers an engaging and approachable introduction to the core concepts, principles, and methods of contemporary ethics. Explaining to students and general readers how to think critically about ethics and actually use philosophical concepts, this innovative volume provides the tools and knowledge required to engage intelligently in ethical study, deliberation, and debate. Invaluable as both a complete guide and a handy reference, this versatile resource provides clear and authoritative information on a diverse range of topics, from fundamental concepts and major ethical frameworks to contemporary critiques and ongoing debates. Throughout the text, Fosl and Baggini highlight the crucial role ethics plays in our lives, exploring autonomy, free will, consciousness, fairness, responsibility, consent, intersectionality, sex and gender, and much more. Substantially revised and expanded, the second edition of The Ethics Toolkit contains a wealth of new entries, new recommended readings, more detailed textual references, and numerous timely real-world and hypothetical examples. Uses clear and accessible language appropriate for use inside and beyond the classroom Contains cross-referenced entries to help readers connect and contrast ideas Engages both non-Western and Western philosophy Offer insights into key issues in ethics with a firm grounding in the history of philosophy Includes an appendix of tools for the practice of ethics, including links to podcasts, web and print resources, and prominent ethics organizations Written by the authors of the popular The Philosophers’ Toolkit, this new edition of The Ethics Toolkit is a must-have resource for anyone interested in ethics, from general readers to undergraduate and graduate students.

A new edition of the bestselling guide to the study of philosophy: the ideal intellectual ‘toolkit’ for sharpening analytical skills and building philosophical acuity Whether used as a guide to basic principles or a resource for key concepts and methods, The Philosopher's Toolkit equips readers with all the intellectual ‘tools’ necessary for engaging closely with philosophical argument and developing fluency in the methods and language of philosophical inquiry. Featuring accessible explanations, practical examples, and expert guidance, this text empowers readers to understand traditional philosophical thinking and to engage with new ideas. Focuses on the practical methods and concepts necessary for philosophical inquiry Presents a versatile resource for both novice and advanced students in areas of philosophy, critical theory, and rhetoric Adopts a pluralistic approach to teaching philosophy, making this a suitable resource for many courses Delivers extensive cross-referenced entries, recommended readings, and updated online resources Covers an array of topics, from basic tools of argumentation to sophisticated philosophical principles Fully revised and updated to include new topics and entries as well as expanded recommended reading lists to encourage further study

The Critical Thinking Toolkit is a comprehensive compendium that equips readers with the essential knowledge and methods for clear, analytical, logical thinking and critique in a range of scholarly contexts and everyday situations. Takes an expansive approach to critical thinking by exploring concepts from other disciplines, including evidence and justification from philosophy, cognitive biases and errors from psychology, race and gender from sociology and political science, and tropes and symbols from rhetoric Follows the proven format of The Philosopher’s Toolkit and The Ethics Toolkit with concise, easily digestible entries, “see also” recommendations that connect topics, and recommended reading lists Allows readers to apply new critical thinking and reasoning skills with exercises and real life examples at the end of each chapter Written in an accessible way, it leads readers through terrain too often cluttered with jargon Ideal for beginning to advanced students, as well as general readers, looking for a sophisticated yet accessible introduction to critical thinking

Presenting sixty theoretical ideas, David Zeitlyn asks ‘How to write about anthropological theory without making a specific theoretical argument.’ “David Zeitlyn has written a wryly engaging, short book on, essentially, why we should not become theoretical partisans—that, indeed, being a serious theorist means accepting precisely that principle.”—Michael Herzfeld, Harvard University To answer, he offers a series of mini essays about an eclectic collection of theoretical concepts that he has found helpful over the years. The book celebrates the muddled inconsistencies in the ways that humans live their messy lives. There are, however, still patterns discernible: the actors can understand what is going on, they see an event unfolding in ways that are familiar, as belonging to a certain type and therefore, Zeitlyn suggests, so can researchers. From the introduction: This book promotes an eclectic, multi-faceted anthropology in which multiple approaches are applied in pursuit of the limited insights which each can afford.... I do not endorse any one of these idea as supplying an exclusive path to enlightenment: I absolutely do not advocate any single position. As a devout nonconformist, I hope that the following sections provide material, ammunition and succour to those undertaking nuanced anthropological analysis (and their kin in related disciplines).... Mixing up or combining different ideas and approaches can produce results that, in their breadth and richness, are productive for anthropology and other social sciences, reflecting the endless complexities of real life. ...This is my response to the death of grand theory. I see our task as learning how to deal with that bereavement and how to resist the siren lures of those promising synoptic overviews. This book is relevant to anthropology, communication studies, cultural studies and sociology.

This textbook introduces the current astrophysical observations of black holes, and discusses the leading techniques to study the strong gravity region around these objects with electromagnetic radiation. More importantly, it provides the basic tools for writing an astrophysical code and testing the Kerr paradigm. Astrophysical black holes are an ideal laboratory for testing strong gravity. According to general relativity, the spacetime geometry around these objects should be well described by the Kerr solution. The electromagnetic radiation emitted by the gas in the inner part of the accretion disk can probe the metric of the strong gravity region and test the Kerr black hole hypothesis. With exercises and examples in each chapter, as well as calculations and analytical details in the appendix, the book is especially useful to the beginners or graduate students who are familiar with general relativity while they do not have any background in astronomy or astrophysics.“/p>

---Not a prolegomena, a foundation.--- More descriptive than a manifesto, and deeply pioneering in its formality, this manual uses a diagrammatic method to express new theories and foundations in thought. In place of circular reasoning, it offers recursive proofs; in place of insolvability, it offers exclusive contexts; in place of linguistic deconstruction, it offers categorical deductions. It includes over three-hundred pages of interrelated methods, arguments, and tools, which promise to assist the philosopher in making logical, ethical, and systematic claims. This first published volume of the dimensional encyclopedia is something more than an encyclopedia. Its a guide to genuine philosophy.