The Art And Practice Of Mathematics
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The Art And Practice Of Mathematics
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Author : Yu Kiang Leong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2021
The Art And Practice Of Mathematics written by Yu Kiang Leong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Biography & Autobiography categories.
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.
Simplicity Ideals Of Practice In Mathematics And The Arts
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Author : Roman Kossak
language : en
Publisher: Springer
Release Date : 2017-06-28
Simplicity Ideals Of Practice In Mathematics And The Arts written by Roman Kossak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-28 with Mathematics categories.
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.
Mathematics And Art
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Author : Lynn Gamwell
language : en
Publisher: Princeton University Press
Release Date : 2016
Mathematics And Art written by Lynn Gamwell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Art categories.
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.
Art And Practice Of Mathematics The Interviews At The Institute For Mathematical Sciences National University Of Singapore 2010 2020
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Author : Yu Kiang Leong
language : en
Publisher: World Scientific
Release Date : 2021-06-23
Art And Practice Of Mathematics The Interviews At The Institute For Mathematical Sciences National University Of Singapore 2010 2020 written by Yu Kiang Leong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.
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.
Interdisciplinary Mathematics Education
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Author : Julian Williams
language : en
Publisher: Springer
Release Date : 2016-07-20
Interdisciplinary Mathematics Education written by Julian Williams and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Education categories.
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.
Research On Teaching And Learning Mathematics At The Tertiary Level
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Author : Irene Biza
language : en
Publisher: Springer
Release Date : 2016-07-01
Research On Teaching And Learning Mathematics At The Tertiary Level written by Irene Biza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-01 with Education categories.
This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.
Aesthetics Of Interdisciplinarity Art And Mathematics
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Author : Kristóf Fenyvesi
language : en
Publisher: Birkhäuser
Release Date : 2017-11-28
Aesthetics Of Interdisciplinarity Art And Mathematics written by Kristóf Fenyvesi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.
This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.
Mathematical Problem Posing
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Author : Florence Mihaela Singer
language : en
Publisher: Springer
Release Date : 2015-06-12
Mathematical Problem Posing written by Florence Mihaela Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-12 with Education categories.
The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Mathematicians On Creativity
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Author : Peter Borwein
language : en
Publisher: Mathematical Association of America
Release Date : 2015-10-01
Mathematicians On Creativity written by Peter Borwein and has been published by Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Mathematics categories.
In their own words, many of the world's foremost mathematicians discuss the art and practice of their work in this book, which shines a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-calibre working mathematicians. This approach highlights the creative aspects of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Organised alphabetically, this book is meant for a general audience and is best read by browsing. It can be used as a supplementary text in mathematics history and mathematics education courses.
Steam Education
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Author : Myint Swe Khine
language : en
Publisher: Springer
Release Date : 2019-01-30
Steam Education written by Myint Swe Khine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Education categories.
This book looks at the value of integrating the arts and sciences in the school curriculum. It argues that this will help students further their understanding of analytical concepts through the use of creativity. The authors illustrate how schools can work towards presenting common practices, concepts, and content. Coverage features case studies and lessons learned from classrooms across the United States. The notion of STEAM (Science, Technology, Engineering, Arts, and Mathematics) is an emerging discipline unique in its desire to provide a well-rounded approach to education. The chapters of this volume examine STEAM in a variety of settings, from kindergarten to higher education. Readers will learn about the practical considerations involved when introducing the arts and creativity into traditionally left brain processes. This includes best practices for creating and sustaining successful STEAM initiatives in any school, college, or university. For instance, one chapter discusses novel approaches to teach writing with the scientific method in order to help students better present their ideas. The authors also detail how the arts can engage more diverse learners, including students who are not traditionally interested in STEM subjects. They provide three concrete examples of classroom-tested inquiries: designing a prosthetic arm for a child, making a paleontology investigation, and taking a closer look at the arts within roller coaster engineering. This book is an invaluable resource for teachers and teacher trainers, university faculty, researchers, and school administrators. It will also be of interest to science, mathematics, engineering, computer science, information technology, arts and design and technology teachers.