Download or read book The Proof Stage written by Stephen Abbott and published by Princeton University Press. This book was released on 2023-07-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The proof stage is the story of the unexpected collaborations and resonances between theater and mathematics and how they have evolved since the turn of the twentieth century. Toward the end of the 1800s, unsettling discoveries about alternate geometries and the mathematical infinite began to reveal that, despite its reputation for absolute certainty, mathematical truth is not immutable. At the same time, new, experimental forms of theater were rapidly developing-some inspired by these very upheavals in mathematics. Both disciplines were, and are, characterized by a quest for truth and a shared ability to investigate their respective limitations. Stephen Abbott provides the first systematic, book-length treatment of the interactions between mathematics and theater that have occurred over the last 120 years. Drawing on the author's fifteen years of experience researching and teaching a course on the subject, the book examines how the two disciplines reveal novel insights about one another. Stages of Uncertainty follows the path of playwrights that engaged mathematics such as Alfred Jarry, Stanislav Witkeiwicz, Samuel Beckett, Bertolt Brecht, Felix Durrenmatt, Tom Stoppard, Micheal Frayn, and Simon McBurney. Intertwined with this history is the history of mathematics; along the way, Abbott describes the development of quantum mechanics, chaos theory, incompleteness, and alternative geometries that occurred as these plays were being written. The main arguments are that these two domains have deep resonances, including shared notions of uncertainty, self-reference, recursion, and orientation, and that theater has engaged deeply and innovatively with math for many years. Abbott reveals a unique portrait of mathematics, one that is unexpected and deeply human"--

Download or read book Proof written by David Auburn and published by Dramatists Play Service Inc. This book was released on 2001 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book The Proof Stage written by Stephen Abbott and published by Princeton University Press. This book was released on 2023-07-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Introduction to Proof in Abstract Mathematics written by Andrew Wohlgemuth and published by Courier Corporation. This book was released on 2014-06-10 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-01-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Download or read book Nonplussed written by Julian Havil and published by Princeton University Press. This book was released on 2010-08-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.

Download or read book Clitophon s Challenge written by Hugh H. Benson and published by Oxford University Press, USA. This book was released on 2015 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The end of Plato's 'Clitophon' can be seen to raise something like the following challenge: How is one to acquire (learn) the knowledge Socrates has so persuasively shown to be essential to virtue and apparently absent from us all. 'Clitophon's Challenge' explores Plato's response to this challenge from the 'Apology', 'Laches', 'Euthyphro', and 'Protagoras' to the 'Meno', 'Phaedo', and 'Republic'.

Download or read book Ridge Day One written by Shawn P. B. Robinson and published by BrainSwell Publishing. This book was released on 2021-06-07 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The darkest hour is just before dawn. But with bloodthirsty Beasts cutting brief lives shorter, can one man beat the ticking clock? Rezin Hamel will protect his people until his dying breath. Resolving to carry on past every dearly departed loved one, the forty-four-year-old General has no idea how he’s lived over a decade beyond the average life expectancy. But when he’s shamed and cast out for an out-of-character act, he sets out to end the constant attacks from creatures staining the walls with death. Searching for answers in society’s seedy underbelly, Hamel is shocked by the conditions ravaging the lower rungs of the city. But the strategic genius’s quest takes a staggering turn when he’s blindsided by a secret that could tear his tight-knit community to shreds. Can Hamel restore his honor and stop the carnage before he’s the next one taken by the Dusk? Ridge: Day One is the action-packed first book in the Ridge dystopian thriller series. If you like fantastic worlds, heart-trembling suspense, and twisted surprises, then you’ll love Shawn P. B. Robinson’s peek behind the Ridge veil. Buy Ridge: Day One to mark the calendar of doom today!

Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Handbook of Abductive Cognition written by Lorenzo Magnani and published by Springer Nature. This book was released on 2023-03-31 with total page 1921 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook offers the first comprehensive reference guide to the interdisciplinary field of abductive cognition, providing readers with extensive information on the process of reasoning to hypotheses in humans, animals, and in computational machines. It highlights the role of abduction in both theory practice: in generating and testing hypotheses and explanatory functions for various purposes and as an educational device. It merges logical, cognitive, epistemological and philosophical perspectives with more practical needs relating to the application of abduction across various disciplines and practices, such as in diagnosis, creative reasoning, scientific discovery, diagrammatic and ignorance-based cognition, and adversarial strategies. It also discusses the inferential role of models in hypothetical reasoning, abduction and creativity, including the process of development, implementation and manipulation for different scientific and technological purposes. Written by a group of internationally renowned experts in philosophy, logic, general epistemology, mathematics, cognitive, and computer science, as well as life sciences, engineering, architecture, and economics, the Handbook of Abductive Cognition offers a unique reference guide for readers approaching the process of reasoning to hypotheses from different perspectives and for various theoretical and practical purposes. Numerous diagrams, schemes and other visual representations are included to promote a better understanding of the relevant concepts and to make concepts highly accessible to an audience of scholars and students with different scientific backgrounds.

Download or read book The Christian Writer s Manual of Style written by Zondervan, and published by Zondervan. This book was released on 2010-05-11 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential tool for writers, editors, proofreaders, designers, copywriters, production managers, and marketers too.The Christian Writer’s Manual of Style is an essential tool not only for writers of religious materials, but for their editors, proofreaders, designers, copywriters, production managers, and even marketers. Rather than simply repeating style information commonly available in standard references, this newly updated and expanded edition includes points of grammar, punctuation, usage, book production and design, and written style that are often overlooked in other manuals. It focuses on information relating to the unique needs and demands of religious publications, such as discussions on how to correctly quote the Bible, how to capitalize and use common religious terms, and how to abbreviate the books of the Bible and other religious words. Also included are rarely found items such as:• an author’s guide to obtaining permissions• guidelines for using American, British, and Mid-Atlantic styles• discussions of inclusive language, profanity, and ethnic sensitivities• discussions of Internet and computer-related language style• a list of problem words• style issues regarding words from major world religions• a discussion of handling brand names in text• a list of common interjections• issues of type design, paper, copy-fitThis edition has been completely updated since the 1988 edition and contains more than twice as much information as the previous edition. This is the most detailed and comprehensive guide of its kind.

Download or read book Providing Sound Foundations for Cryptography written by Oded Goldreich and published by Morgan & Claypool. This book was released on 2019-09-13 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography is concerned with the construction of schemes that withstand any abuse. A cryptographic scheme is constructed so as to maintain a desired functionality, even under malicious attempts aimed at making it deviate from its prescribed behavior. The design of cryptographic systems must be based on firm foundations, whereas ad hoc approaches and heuristics are a very dangerous way to go. These foundations were developed mostly in the 1980s, in works that are all co-authored by Shafi Goldwasser and/or Silvio Micali. These works have transformed cryptography from an engineering discipline, lacking sound theoretical foundations, into a scientific field possessing a well-founded theory, which influences practice as well as contributes to other areas of theoretical computer science. This book celebrates these works, which were the basis for bestowing the 2012 A.M. Turing Award upon Shafi Goldwasser and Silvio Micali. A significant portion of this book reproduces some of these works, and another portion consists of scientific perspectives by some of their former students. The highlight of the book is provided by a few chapters that allow the readers to meet Shafi and Silvio in person. These include interviews with them, their biographies and their Turing Award lectures.

Download or read book Revista de educaci n n 371 January March 2016 written by and published by Ministerio de Educación. This book was released on with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Butcher s Copy editing written by Judith Butcher and published by Cambridge University Press. This book was released on 2006-10-12 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its first publication in 1975, Judith Butcher's Copy-editing has become firmly established as a classic reference guide. This fourth edition has been comprehensively revised to provide an up-to-date and clearly presented source of information for all those involved in preparing typescripts and illustrations for publication. From the basics of how to prepare text and illustrations for the designer and typesetter, through the ground rules of house style, to how to read and correct proofs, Copy-editing covers all aspects of the editorial process. New and revised features: • up-to-date advice on indexes, inclusive language, reference systems and preliminary pages • a chapter devoted to on-screen copy-editing • guidance on digital coding and publishing in other media such as e-books • updated to take account of modern typesetting and printing technology • an expanded section on law books • an essential tool for new and experienced copy-editors, working freelance or in-house.

Download or read book The Sum of You Teach Yourself written by Alan Graham and published by Teach Yourself. This book was released on 2010-10-29 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six mathematical forces are at the heart of shaping your personality. Dr Alan Graham explains their importance, their history, how they impact your life, and how you can make them work for you.