Mathematics and Art PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematics and Art PDF full book. Access full book title Mathematics and Art by Lynn Gamwell. Download full books in PDF and EPUB format.
Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Category : Art
Languages : en
Pages : 576
Get Book Here
Book Description
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Author: Roman Kossak
Publisher: Springer
ISBN: 3319533851
Category : Mathematics
Languages : en
Pages : 314
Get Book Here
Book Description
To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.
Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Category : Art
Languages : en
Pages : 576
Get Book Here
Book Description
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Author: Sasho Kalajdzievski
Publisher: CRC Press
ISBN: 1584889144
Category : Mathematics
Languages : en
Pages : 282
Get Book Here
Book Description
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With downloadable resources and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.
Author: Michael Holt
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 106
Get Book Here
Book Description
Author: Yu Kiang Leong
Publisher: World Scientific
ISBN: 9811219605
Category : Mathematics
Languages : en
Pages : 442
Get Book Here
Book Description
This book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists who visited the Institute for Mathematical Sciences, National University of Singapore. First published in the Institute's newsletter Imprints during the period 2010-2020, they offer glimpses of an esoteric universe as viewed and experienced by some of the leading and creative practitioners of the craft of mathematics.The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer science and financial mathematics. This eclectic mix of the abstract and the concrete should interest those who are enthralled by the mystique and power of mathematics, whether they are students, researchers or the non-specialists.By briefly tracing the paths traveled by the pioneers of different national backgrounds, the interviews attempt to put a cultural face to an intellectual endeavor that is often perceived as dry and austere by the uninitiated. They should also interest those who are intrigued by the influence of the environment on the creative spirit, and, in particular, those who are interested in the psychology and history of ideas.
Author: Jason Batterson
Publisher:
ISBN: 9781934124307
Category :
Languages : en
Pages :
Get Book Here
Book Description
Beast Academy Guide 2A and its companion Practice 2A (sold separately) are the first part in the planned four-part series for 2nd grade mathematics. Book 2A includes chapters on place value, comparing, and addition.
Author: Cris Forster
Publisher: Chronicle Books
ISBN: 9780811874076
Category : Music
Languages : en
Pages : 0
Get Book Here
Book Description
Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.
Author: Yu Kiang Leong
Publisher: World Scientific Publishing Company
ISBN: 9789811219580
Category : Biography & Autobiography
Languages : en
Pages : 0
Get Book Here
Book Description
The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer science and financial mathematics. This eclectic mix of the abstract and the concrete should interest those who are enthralled by the mystique and power of mathematics, whether they are students, researchers or the non-specialists.
Author: Julian Williams
Publisher: Springer
ISBN: 3319422677
Category : Education
Languages : en
Pages : 43
Get Book Here
Book Description
This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. First, it begins with an outline of the field’s relevant historical, conceptual and theoretical backgrounds, what “discipline” means and how inter-, trans-, and meta-disciplinary activities can be understood. Relevant theoretical perspectives from Marx, Foucault and Vygotsky are explained, along with key ideas in theory, e.g. boundaries, discourses, identity, and the division of labour in practice. Second, the book reviews research findings of mainly empirical studies on interdisciplinary work involving mathematics in education, in all stages of education that have become disciplined. For example, it reports that a common theme in studies in middle and high schools is assessing the motivational benefits for the learner of subsuming disciplinary motives and even practices to extra-academic problem-solving activities; this is counter-balanced by the effort needed to overcome the disciplinary boundaries in academic institutions, and in professional identities. These disciplinary boundaries are less obviously limitations in middle and primary schools, and in some vocational courses. Third and finally, it explores selected case studies that illustrate these concepts and findings, both in terms of the motivational benefits for learners and the institutional and other boundaries involved.
Author: Simon W. Bowmaker
Publisher: Edward Elgar Publishing
ISBN: 1849808473
Category : Business & Economics
Languages : en
Pages : 519
Get Book Here
Book Description
ïIn this book, Simon Bowmaker offers a remarkable collection of conversations with leading economists about research in economics. He has selected a broad sample of the great economists of our time, including people whose perspectives span most of the major subdivisions of economics research, from micro to macro, from theoretical to empirical, from rationalist to behavioral.Í _ From the foreword by Roger B. Myerson, University of Chicago, US and 2007 Nobel Laureate in Economics ïThe Art and Practice of Economics Research is the book I wish I had when I was ñgrowing upî as an economist. For anyone who is or wants to be an economic researcher, or anyone just interested in how economics ñworksî, this is a terrific and inspirational resource.Í _ David K. Levine, Washington University in St. Louis, US ïIt is hard to imagine an economist in the world who would not enjoy this book. It is fascinating, gripping, and full of the wisdom imparted by age and by scholarly lifeÍs ups and downs.Í _ Andrew J. Oswald, University of Warwick, UK ïAlthough each has followed his or her own road, these scholars share a passion for economics and a commitment to the research enterprise. The best economists lie sleepless, gripped by their questions.Í _ Joshua Angrist, Massachusetts Institute of Technology, US ïThis is a wonderful book of interviews with some of the most respected economists in the world. It is full of insights into academic life, and clearly conveys the joy of doing economics research.Í _ Jon Levin, Stanford University, US ïThe relaxed frame of the interviews gives interested parties exciting insights into the thoughts and concerns of leading economists and might well inspire some of the best young minds to continue with economics in their later lives.Í _ Ernst Fehr, University of Zurich, Switzerland The Art and Practice of Economics Research provides an in-depth look into the research methods of leading economists from across the United States and Europe. This innovative volume contains 25 interviews with practicing economists, presenting insightful personal accounts into an often-misunderstood field. Contributors to this volume were asked to reflect on their own experience in economics research, including their methods of working, the process of scientific discovery and knowledge creation, and the challenges of successfully disseminating their work. The unique and compelling interview format showcases each contributorÍs personal connection to his or her work, presenting a view of current economics research that is technical, comprehensive, and refreshingly human. Both students and current scholars in economics will find much to admire in this bookÍs window into the inner workings of some of the brightest and best-known minds in the field. This volume would also make a great companion to the authorÍs 2010 book, The Heart of Teaching Economics, which showcases the personal experiences of teachers and professors of economics.
