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Great Currents Of Mathematical Thought
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Book Synopsis Great Currents of Mathematical Thought by : François Le Lionnais
Download or read book Great Currents of Mathematical Thought written by François Le Lionnais and published by Courier Corporation. This book was released on 2004-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 50 essays by eminent scholars include meditations on "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic" (Volume I) and on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization" (Volume II). 1962 edition.
Book Synopsis Great Currents of Mathematical Thought by : François Le Lionnais
Download or read book Great Currents of Mathematical Thought written by François Le Lionnais and published by Courier Corporation. This book was released on 2004-01-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 50 essays by eminent scholars include meditations on "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic" (Volume I) and on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization" (Volume II). 1962 edition.
Book Synopsis Great Currents of Mathematical Thought: Mathematics in the arts and sciences by : François Le Lionnais
Download or read book Great Currents of Mathematical Thought: Mathematics in the arts and sciences written by François Le Lionnais and published by . This book was released on 1971 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Great Currents of Mathematical Thought by : François Le Lionnais
Download or read book Great Currents of Mathematical Thought written by François Le Lionnais and published by . This book was released on 1971 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Great Currents of Mathematical Thought by : Francois Le Lionnais
Download or read book Great Currents of Mathematical Thought written by Francois Le Lionnais and published by . This book was released on 1980-05-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Mathematical Thinking by : David Tall
Download or read book Advanced Mathematical Thinking written by David Tall and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
Book Synopsis Mathematics in Society and History by : S. Restivo
Download or read book Mathematics in Society and History written by S. Restivo and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.
Book Synopsis The Theory of Narrative Thought by : Lee Roy Beach
Download or read book The Theory of Narrative Thought written by Lee Roy Beach and published by Cambridge Scholars Publishing. This book was released on 2022-02-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renowned naturalist, Loren Eisely, observed that we humans have given up the “certainty of the animal that what it senses is exactly there in the shape the eye beholds.” The big question is, what did we get in return? This book provides a convincing answer to this question, arguing that, instead of recording reality, your brain uses your experience to create a story, a narrative, about how what happened to you in the past led to what is happening to you now. This narrative is your private reality. The book continues by showing how replacing recorded reality with private narrative enabled humans to anticipate the fundamentally unknowable immediate and remote future and expose potential threats. It then shows how private narrative enabled complex thought and communication with others. Drawing upon a wide range of research, the book provides a stimulating new way of viewing human experience, thinking, communicating, and action.
Book Synopsis Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics by : Ulianov Montano
Download or read book Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics written by Ulianov Montano and published by Springer Science & Business Media. This book was released on 2013-12-20 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities.
Book Synopsis Mathematics in Twentieth-Century Literature and Art by : Robert Tubbs
Download or read book Mathematics in Twentieth-Century Literature and Art written by Robert Tubbs and published by JHU Press. This book was released on 2014-07-15 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chips away at the notion of an accidental relationship between math and art and literature. During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it mere coincidence, or were these artists simply following their instincts, which in turn were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts? In this provocative, original exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking. In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, Mathematics in Twentieth-Century Literature and Art will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.
Book Synopsis The Best Writing on Mathematics 2018 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2018 written by Mircea Pitici and published by Princeton University Press. This book was released on 2018-12-04 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world—with glimpses at science, philosophy, music, art, and even crocheting. And there’s much, much more. In addition to presenting the year’s most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
Book Synopsis The Best Writing on Mathematics 2011 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2011 written by Mircea Pitici and published by Princeton University Press. This book was released on 2012 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest writing on mathematics from around the world This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Book Synopsis The Best Writing on Mathematics 2016 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2016 written by Mircea Pitici and published by Princeton University Press. This book was released on 2017-03-07 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest mathematics writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Book Synopsis Logic, Reasoning, and Rationality by : Erik Weber
Download or read book Logic, Reasoning, and Rationality written by Erik Weber and published by Springer. This book was released on 2014-08-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of the papers presented at the Logic, Reasoning and Rationality 2010 conference (LRR10) in Ghent. The conference aimed at stimulating the use of formal frameworks to explicate concrete cases of human reasoning, and conversely, to challenge scholars in formal studies by presenting them with interesting new cases of actual reasoning. According to the members of the Wiener Kreis, there was a strong connection between logic, reasoning, and rationality and that human reasoning is rational in so far as it is based on (classical) logic. Later, this belief came under attack and logic was deemed inadequate to explicate actual cases of human reasoning. Today, there is a growing interest in reconnecting logic, reasoning and rationality. A central motor for this change was the development of non-classical logics and non-classical formal frameworks. The book contains contributions in various non-classical formal frameworks, case studies that enhance our apprehension of concrete reasoning patterns, and studies of the philosophical implications for our understanding of the notions of rationality.
Book Synopsis Calculus: A Liberal Art by : W.M. Priestley
Download or read book Calculus: A Liberal Art written by W.M. Priestley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.
Book Synopsis The Art of the Intelligible by : J. Bell
Download or read book The Art of the Intelligible written by J. Bell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the Gödel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl. Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.
Book Synopsis Mathematics and the Aesthetic by : Nathalie Sinclair
Download or read book Mathematics and the Aesthetic written by Nathalie Sinclair and published by Springer Science & Business Media. This book was released on 2007-12-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.
