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The Joy Of Sets
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Download or read book The Joy of Sets written by Keith Devlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.
Book Synopsis The Joy of Sets by : Keith J. Devlin
Download or read book The Joy of Sets written by Keith J. Devlin and published by Springer. This book was released on 1993-01-01 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory; it then develops the Zermelo-Fraenkel axioms of the theory, showing how they arise naturally from a rigorous answer to the question, "what is a set?" After discussing the ordinal and cardinal numbers, the book then delves into contemporary set theory, covering such topics as: the Borel hierarchy, stationary sets and regressive functions, and Lebesgue measure. Two chapters present an extension of the Zermelo-Fraenkel theory, discussing the axiom of constructibility and the question of provability in set theory. A final chapter presents an account of an alternative conception of set theory that has proved useful in computer science, the non-well-founded set theory of Peter Aczel"--Back cover.
Download or read book The Joy of Sets written by Chris Horrocks and published by Reaktion Books. This book was released on 2017-12-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a modern activity, one of the primary ways we consume information and entertainment, something we’ll do over dinner, at a bar, or even standing on the street peering into a store window—watch TV. Many of us spend countless hours in front of the tube, and even those of us who have proudly eliminated it from our lives can probably still rattle off the names of today’s most popular shows. But for as crucial as television viewing is in modern culture, the television set itself, as a ubiquitous object in our environment, rarely captures our attention—turn one off and it seems to all but disappear. In this book, Chris Horrocks tells the story of the television set, exploring its contradictory presence in our lives as both a material object and a conveyor of illusory images. Horrocks begins in the nineteenth century and television’s prehistory as a fantastic, futuristic concept. He follows the television’s journey from its strange roots in spiritualism, imperialism, and Victorian experiments in electro-magnetism to the contested accounts of its actual invention, looking at the work of engineering pioneers such as Philo Farnsworth and John Logie Baird. Unboxing sets all across the world, he details how it arrived as an essential consumer product and began to play an extraordinary role as a bridge between public and private life. Horrocks describes how the console and cabinet themselves expressed status and good taste and how their designs drew on cultural phenomena such as the space race and the avant-garde. He discusses how we have both loved it for what it can provide and reviled it as a sinister object literally controlling our thoughts, and he shows how it has figured in other cultural realms, such as the work of artists like Wolf Vostell and Nam June Paik. Finally, Horrocks laments the death of the cathode ray tube and the emergence of the flat-screen, which has reduced the presence of the television as a significant material object. Altogether, The Joy of Sets brings this most elusive object into crystal-clear critical and historical focus.
Download or read book The Joy of SET written by Liz McMahon and published by Princeton University Press. This book was released on 2019-07-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Have you ever played the addictive card game SET? Have you ever wondered about the connections between games and mathematics? . . . The Joy of SET takes readers on a fascinating journey into this seemingly simple card game and reveals its surprisingly deep and diverse mathematical dimensions. Absolutely no mathematical background is necessary to enjoy this book - all you need is a sense of curiosity and adventure. Originally invented in 1974 by Marsha Falco and officially released in 1991, SET has gained a widespread, loyal following. SET's eighty-one cards consist of one, two, or three symbols of different shapes (diamond, oval, squiggle), shadings (solid, striped, open), and colors (green, purple, red). In order to win, players must identify 'sets' of three cards for which each characteristic is the same - or different - on all the cards. SET's strategic and unique design opens connections to a plethora of mathematical disciplines, including geometry, modular arithmetic, combinatorics, probability, linear algebra, and computer simulations. The Joy of SET looks at these areas as well as avenues for further mathematical exploration. As the authors show, the relationship between SET and mathematics runs in both directions - playing this game has generated new mathematics, and the math has led to new questions about the game itself."--Provided by publisher.
Book Synopsis The Joy of X by : Steven Henry Strogatz
Download or read book The Joy of X written by Steven Henry Strogatz and published by Houghton Mifflin Harcourt. This book was released on 2012 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."
Book Synopsis The Joy of Finite Mathematics by : Chris P. Tsokos
Download or read book The Joy of Finite Mathematics written by Chris P. Tsokos and published by Academic Press. This book was released on 2015-10-27 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors’ experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida’s CLAST exam or similar core requirements. Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice test Contains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. exam Optional advanced sections and challenging problems are included for use at the discretion of the instructor Online resources include PowerPoint Presentations for instructors and a useful student manual
Book Synopsis Fundamentals of Contemporary Set Theory by : K. J. Devlin
Download or read book Fundamentals of Contemporary Set Theory written by K. J. Devlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide an account of those parts of contemporary set theory which are of direct relevance to other areas of pure mathematics. The intended reader is either an advanced level undergraduate, or a beginning graduate student in mathematics, or else an accomplished mathematician who desires or needs a familiarity with modern set theory. The book is written in a fairly easy going style, with a minimum of formalism (a format characteristic of contemporary set theory) • In Chapter I the basic principles of set theory are developed in a "naive" tl manner. Here the notions of "set I II union " , "intersection", "power set" I "relation" I "function" etc. are defined and discussed. One assumption in writing this chapter has been that whereas the reader may have met all of these concepts before, and be familiar with their usage, he may not have considered the various notions as forming part of the continuous development of a pure subject (namely set theory) • Consequently, our development is at the same time rigorous and fast. Chapter II develops the theory of sets proper. Starting with the naive set theory of Chapter I, we begin by asking the question "What is a set?" Attempts to give a rLgorous answer lead naturally to the axioms of set theory introduced by Zermelo and Fraenkel, which is the system taken as basic in this book.
Book Synopsis Philosophical Introduction to Set Theory by : Stephen Pollard
Download or read book Philosophical Introduction to Set Theory written by Stephen Pollard and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.
Book Synopsis Elements of Logic via Numbers and Sets by : D.L. Johnson
Download or read book Elements of Logic via Numbers and Sets written by D.L. Johnson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.
Book Synopsis The Logic of Infinity by : Barnaby Sheppard
Download or read book The Logic of Infinity written by Barnaby Sheppard and published by Cambridge University Press. This book was released on 2014-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.
Book Synopsis Classic Set Theory by : D.C. Goldrei
Download or read book Classic Set Theory written by D.C. Goldrei and published by Routledge. This book was released on 2017-09-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
Book Synopsis What Is Mathematics, Really? by : Reuben Hersh
Download or read book What Is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Book Synopsis The Joy of Mathematics by : Alfred S. Posamentier
Download or read book The Joy of Mathematics written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2017 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic novelties -- Algebraic explanations of accepted concepts -- Geometric curiosities -- Probability applied to everyday experiences -- Common sense from a mathematical perspective
Book Synopsis The Book of Doing by : Allison Arden
Download or read book The Book of Doing written by Allison Arden and published by Penguin. This book was released on 2012-04-03 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: When did you last take the time to do the things you loved as a child: crafts, games, getting your hands dirty? Or feel the same delight and wonder that you took from your favorite childhood activities? Despite the joy we gained from these pursuits, in our adult lives, we've left them behind-they're too frivolous, we're too busy or too old, and there's too much "real" work to do. It's time to change this mind-set. It's time to rediscover the things you love to do, because they energize, center, and connect you with the world in a meaningful and positive way. The Book of Doing offers a collection of ideas and activities that encourage you to use your life as a canvas and explore your creativity through everything you do-to create and make, to explore and experiment, to play and build, to paint and cook-to do. Go ahead. Roll up your sleeves and get to it. It's time to do the things that make you happiest.
Book Synopsis Combinatorics of Finite Sets by : Ian Anderson (Ph. D.)
Download or read book Combinatorics of Finite Sets written by Ian Anderson (Ph. D.) and published by Oxford University Press, USA. This book was released on 1987 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is the aim of this book to provide a coherent and up-to-date account of the basic methods and results of the combinatorial study of finite set systems.
Book Synopsis The Joy of Dahlias by : Linda van der Slot
Download or read book The Joy of Dahlias written by Linda van der Slot and published by Lannoo Publishers. This book was released on 2020-08-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideal gift book on this flower that has seen a rise in popularity, illustrated with beautiful color photographsThe ultimate book for every flower lover"Dahlias have enriched my life. By making this book, I want to share my passion and show how versatile and special dahlias really are;" - Marlies Weijers"Everyone is capable of letting dahlias flower. And what we love the most is spreading the love for flowers with #spreadtheloveforflowers." - Linda van der SlotThe dahlia, a flower that was once thought of as old-fashioned, has surged in popularity over the past few years due to the development of new varieties and an uptick in appreciation from Royals and celebrities. They appear in a broad spectrum of beautiful colors and eccentric shapes, and thanks to their long flowering time they are garden crop favorites. This inspirational book explores every aspect of the dahlia from its history to its sustainable cultivation.
