Download or read book The Mathematics of Novelty written by Sam Gillespie and published by re.press. This book was released on 2008 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sam Gillespie's The Mathematics of Novelty presents a new account of Alain Badiou and Gilles Deleuze, identifying conceptual impasses in their philosophical projects and proposing a way through by recourse to the psychoanalysis of Jacques Lacan.
Download or read book Novelty Information and Surprise written by Günther Palm and published by Springer Science & Business Media. This book was released on 2012-08-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two new concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these new concepts, mostly in statistics and in neuroscience.
Download or read book Endless Novelty written by Philip Scranton and published by Princeton University Press. This book was released on 2018-06-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flexibility, specialization, and niche marketing are buzzwords in the business literature these days, yet few realize that it was these elements that helped the United States first emerge as a global manufacturing leader between the Civil War and World War I. The huge mass production-based businesses--steel, oil, and autos--have long been given sole credit for this emergence. In Endless Novelty, Philip Scranton boldly recasts the history of this vital episode in the development of American business, known as the nation's second industrial revolution, by considering the crucial impact of trades featuring specialty, not standardized, production. Scranton takes us on a grand tour through American specialty firms and districts, where, for example, we meet printers and jewelry makers in New York and Providence, furniture builders in Grand Rapids, and tool specialists in Cincinnati. Throughout he highlights the benevolent as well as the strained relationships between workers and proprietors, the lively interactions among entrepreneurs and city leaders, and the personal achievements of industrial engineers like Frederic W. Taylor. Scranton shows that in sectors producing goods such as furniture, jewelry, machine tools, and electrical equipment, firms made goods to order or in batches, and industrial districts and networks flourished, creating millions of jobs. These enterprises relied on flexibility, skilled labor, close interactions with clients, suppliers, and rivals, and opportunistic pricing to generate profit streams. They built interfirm alliances to manage markets and fashioned specialized institutions--trade schools, industrial banks, labor bureaus, and sales consortia. In creating regional synergies and economies of scope and diversity, the approaches of these industrial firms represent the inverse of mass production. Challenging views of company organization that have come to dominate the business world in the United States, Endless Novelty will appeal to historians, business leaders, and to anyone curious about the structure of American industry.
Download or read book Badiou s Being and Event and the Mathematics of Set Theory written by Burhanuddin Baki and published by Bloomsbury Publishing. This book was released on 2014-11-20 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alain Badiou's Being and Event continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou's use of mathematics in Being and Event. Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou's philosophical framework in close detail, showing exactly how it is 'conditioned' by the technical mathematics. Clarifying the relevant details of Badiou's mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Gödel's concept of constructability; and Cohen's technique of forcing. Baki then rebuilds Badiou's philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen's forcing, which informs Badiou's analysis of the event. Providing valuable insights into Badiou's philosophy of mathematics, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.
Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
Download or read book Novelty Information and Surprise written by Günther Palm and published by Springer Nature. This book was released on 2023-01-02 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition offers an approach to information theory that is more general than the classical approach of Shannon. Classically, information is defined for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these concepts, mostly in statistics and in neuroscience.
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
Download or read book Time Travel and Other Mathematical Bewilderments written by Martin Gardner and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1988 edition and contains columns published from 1974-1976.
Download or read book Novelty written by Michael North and published by University of Chicago Press. This book was released on 2013-10-18 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: If art and science have one thing in common, it’s a hunger for the new—new ideas and innovations, new ways of seeing and depicting the world. But that desire for novelty carries with it a fundamental philosophical problem: If everything has to come from something, how can anything truly new emerge? Is novelty even possible? In Novelty, Michael North takes us on a dazzling tour of more than two millennia of thinking about the problem of the new, from the puzzles of the pre-Socratics all the way up to the art world of the 1960s and ’70s. The terms of the debate, North shows, were established before Plato, and have changed very little since: novelty, philosophers argued, could only arise from either recurrence or recombination. The former, found in nature’s cycles of renewal, and the latter, seen most clearly in the workings of language, between them have accounted for nearly all the ways in which novelty has been conceived in Western history, taking in reformation, renaissance, invention, revolution, and even evolution. As he pursues this idea through centuries and across disciplines, North exhibits astonishing range, drawing on figures as diverse as Charles Darwin and Robert Smithson, Thomas Kuhn and Ezra Pound, Norbert Wiener and Andy Warhol, all of whom offer different ways of grappling with the idea of originality. Novelty, North demonstrates, remains a central problem of contemporary science and literature—an ever-receding target that, in its complexity and evasiveness, continues to inspire and propel the modern. A heady, ambitious intellectual feast, Novelty is rich with insight, a masterpiece of perceptive synthesis.
Download or read book Being and Event written by Alain Badiou and published by A&C Black. This book was released on 2007-07-15 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: A translation of one of the single most important works of recent French philosophy, Badiou's magnum opus, and a must-have for his growing following and anyone interested in contemporary Continental thought.
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present.
Download or read book Mathematical Masterpieces written by Art Knoebel and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.
Download or read book Didactical Phenomenology of Mathematical Structures written by Hans Freudenthal and published by Springer Science & Business Media. This book was released on 2005-11-28 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.
Download or read book Positive Linear Maps of Operator Algebras written by Erling Størmer and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps of operator algebras into the bounded operators on a Hilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps. The text examines the maps’ positivity properties, as well as their associated linear functionals together with their density operators. It features special sections on extremal positive maps and Choi matrices. In sum, this is a vital publication that covers a full spectrum of matters relating to positive linear maps, of which a large proportion is relevant and applicable to today’s quantum information theory. The latter sections of the book present the material in finite dimensions, while the text as a whole appeals to a wider and more general readership by keeping the mathematics as elementary as possible throughout.
Download or read book A Time of Novelty written by Samuel Wright and published by . This book was released on 2021 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 'A Time of Novelty', Samuel Wright re-envisions the relationship between philosophy and history in premodern India through study of the tradition of Sanskrit logic between 1500 and 1700 CE. In examining these logicians, Wright expands the ways in which we study philosophical thought by considering philosophy as deeply immersed in the felt experiences of one's life, at the confluence of thinking and feeling.
Download or read book Reality Conditions written by and published by Mathematical Assn of Amer. This book was released on 2005 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents sixteen short stories involving mathematics, including tales in which a nineteenth-century woman mathematician is murdered, a nursing home resident explains how he disproved Goldbach's conjecture in college, and Scottish physicist James Clerk Maxwell discovers electromagnetic waves.
Download or read book A B written by Marko Petkovsek and published by CRC Press. This book was released on 1996-01-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations. Beautifully written, the book contains practical applications as well as conceptual developments that will have applications in other areas of mathematics.From the ta
