[PDF] The Proof Stage eBook

Author : Stephen Abbott
Publisher : Princeton University Press
Page : 408 pages
File Size : 25,61 MB
Release : 2023-07-11
Category : Performing Arts
ISBN : 0691243360

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How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of abstract mathematics to the human stage The discovery of alternate geometries, paradoxes of the infinite, incompleteness, and chaos theory revealed that, despite its reputation for certainty, mathematical truth is not immutable, perfect, or even perfectible. Beginning in the last century, a handful of adventurous playwrights took inspiration from the fractures of modern mathematics to expand their own artistic boundaries. Originating in the early avant-garde, mathematics-infused theater reached a popular apex in Tom Stoppard’s 1993 play Arcadia. In The Proof Stage, mathematician Stephen Abbott explores this unlikely collaboration of theater and mathematics. He probes the impact of mathematics on such influential writers as Alfred Jarry, Samuel Beckett, Bertolt Brecht, and Stoppard, and delves into the life and mathematics of Alan Turing as they are rendered onstage. The result is an unexpected story about the mutually illuminating relationship between proofs and plays—from Euclid and Euripides to Gödel and Godot. Theater is uniquely poised to discover the soulful, human truths embedded in the austere theorems of mathematics, but this is a difficult feat. It took Stoppard twenty-five years of experimenting with the creative possibilities of mathematics before he succeeded in making fractal geometry and chaos theory integral to Arcadia’s emotional arc. In addition to charting Stoppard’s journey, Abbott examines the post-Arcadia wave of ambitious works by Michael Frayn, David Auburn, Simon McBurney, Snoo Wilson, John Mighton, and others. Collectively, these gifted playwrights transform the great philosophical upheavals of mathematics into profound and sometimes poignant revelations about the human journey.

Author : David Auburn
Publisher : Dramatists Play Service Inc
Page : 84 pages
File Size : 35,48 MB
Release : 2001
Category : Drama
ISBN : 9780822217824

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THE STORY: On the eve of her twenty-fifth birthday, Catherine, a troubled young woman, has spent years caring for her brilliant but unstable father, a famous mathematician. Now, following his death, she must deal with her own volatile emotions; the

Author : Martin Aigner
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 21,32 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Author : Allison K. Henrich
Publisher :
Page : 136 pages
File Size : 26,73 MB
Release : 2019
Category : Academic achievement
ISBN : 9781470452810

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Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

Author : Juan C. Bicarregui
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 23,62 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1447115325

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Not so many years ago, it would have been difficult to find more than a handful of examples of the use of formal methods in industry. Today however, the industrial application of formal methods is becoming increasingly common in a variety of application areas, particularly those with a safety, security or financially critical aspects. Furthermore, in situations where a particularly high level of assurance is required, formal proof is broadly accepted as being of value. Perhaps the major benefit of formalisation is that it enables formal symbolic manip ulation of elements of a design and hence can provide developers with a variety of analyses which facilitate the detection of faults. Proof is just one of these possible formal activities, others, such as test case generation and animation, have also been shown to be effective bug finders. Proof can be used for both validation and verifi cation. Validation of a specification can be achieved by proving formal statements conjectured about the required behaviours of the system. Verification of the cor rectness of successive designs can be achieved by proof of a prescribed set of proof obligations generated from the specifications.

Author : Mywish K. Maredia
Publisher : Intl Food Policy Res Inst
Page : 48 pages
File Size : 18,97 MB
Release :
Category : Social Science
ISBN :

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Assessing impacts of public investments has long captured the interest and attention of the development community. This paper presents the evolution of different methods and approaches used for ex ante appraisal, monitoring, project evaluation, and impact assessment over the last five decades. Among these tools, impact assessment (IA) conducted retrospectively comes closest to providing the proof of development effectiveness. It is defined as the systematic analysis of the significant or lasting changes in people's lives brought about by a given action or series of actions in relation to a counterfactual. There are three basic types of retrospective IAs: macro-level IAs that focus on the contribution of developmental efforts to an impact goal aggregated at a sector or a system level; micro-level impact evaluations (IEs) concerned with estimating the average effect of an intervention on outcomes at the beneficiary level; and micro-level ex post impact analysis concerned with total effects of a development effort after the outputs are scaled-up. Ex post IAs have evolved and expanded over the decades in both breadth and depth of analysis in response to evolving development themes and methodological advancements. The increased emphasis on learning from evaluations has also seen responses from both quantitative and qualitative camps of the evaluation community. The paper argues that generation of robust knowledge that feeds into making developmental policies and investment decisions requires a hierarchical and cumulative approach to "improving the proof" through rigorous and a variety of impact assessment methods applied incrementally at the project, program and system level. Subjecting as many development interventions as resources allow to rigorous impact assessment based on a common framework can help build a critical body of evidence on impacts of development interventions, which can then be subjected to meta-analyses to help assimilate results across different studies and build a knowledge base on what works and what does not.

Author : Richard H. Hammack
Publisher :
Page : 314 pages
File Size : 24,36 MB
Release : 2016-01-01
Category : Mathematics
ISBN : 9780989472111

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Author : Jiahong He
Publisher : Springer
Page : 296 pages
File Size : 37,53 MB
Release : 2018-01-23
Category : Law
ISBN : 9811080259

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This book offers the first theoretical approach to rules of evidence and the practice of judicial proof in China written in English by a Chinese professor. As Prof. He’s first representative work, based on over three decades of studying and researching evidence law, it clarifies concepts relevant to evidence law, highlights the value of studying evidence law, re-examines the domain of presumption, reviews central problems in obtaining evidence, and discusses the reasons for misjudged cases. In brief, the book not only presents all major aspects of Chinese rules of evidence in criminal justice, but also introduces readers to the latest developments from a global perspective.

Author : Eleanor McNees
Publisher : Clemson University Press
Page : 282 pages
File Size : 10,17 MB
Release : 2018-08-30
Category : Literary Criticism
ISBN : 1638041326

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Woolf Editing / Editing Woolf focuses on Woolf as editor both of her own work and of the Hogarth Press, and on editing Woolf—on the conflation of textual and theoretical criticism of Woolf’s oeuvre. Since many contributors are editors, creative writers, and critics, contributions highlight the intersections of those three roles. The essays variously addressed the “granite” of close textual reading and the “rainbow” of theoretical approaches to Woolf’s writings. Several more flexible versions of editing emerge in the papers that discuss adaptations of Woolf to film, theatre, and music. Brenda Silver’s contribution in memory of Julia Briggs opens the volume, and James Haule’s contribution concludes it.

Author : Katherine Lapworth
Publisher : Teach Yourself
Page : 167 pages
File Size : 50,11 MB
Release : 2010-07-30
Category : Language Arts & Disciplines
ISBN : 1444131621

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This new book gives you everything you need to know to get into print. Whether you are seeking an agent or publisher, or have decided to self-publish, it gives you the background information, step-by-step guides and a unique selection of case studies from published authors and insider tips from industry experts. With an exhaustive list of useful addresses and websites, it is an essential manual for any aspiring author. Features contributions from key literary agencies (including Curtis Brown and Pollinger) and top publishing companies (including John Murray and Headline). NOT GOT MUCH TIME? One, five and ten-minute introductions to key principles to get you started. AUTHOR INSIGHTS Lots of instant help with common problems and quick tips for success, based on the author's many years of experience. TEST YOURSELF Tests in the book and online to keep track of your progress. EXTEND YOUR KNOWLEDGE Extra online articles at www.teachyourself.com to give you a richer understanding of getting your book published. FIVE THINGS TO REMEMBER Quick refreshers to help you remember the key facts. TRY THIS Innovative exercises illustrate what you've learnt and how to use it.