Mathematics In The Visual Arts
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Mathematics In The Visual Arts
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Author : Ruth Scheps
language : en
Publisher: John Wiley & Sons
Release Date : 2020-12-03
Mathematics In The Visual Arts written by Ruth Scheps and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-03 with Art categories.
Art and science are not separate universes. This book explores this claim by showing how mathematics, geometry and numerical approaches contribute to the construction of works of art. This applies not only to modern visual artists but also to important artists of the past. To illustrate this, this book studies Leonardo da Vinci, who was both an engineer and a painter, and whose paintings can be perfectly modeled using simple geometric curves. The world gains intelligibility through elegant mathematical frameworks – from the projective spaces of painting to the most complex phase spaces of theoretical physics. A living example of this interdisciplinarity would be the sculptures of Jean Letourneur, a specialist in both chaos sciences and carving, as evidenced in his stonework. This book also exemplifies the geometry and life of forms through contemporary works of art – including fractal art – which have never before been represented in this type of work.
Math And Art
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Author : Sasho Kalajdzievski
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2008-06-25
Math And Art written by Sasho Kalajdzievski and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-25 with Art categories.
This introduction explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With color figures and animations on an accompanying CD-ROM, plus a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. The text also contains simple proofs, along with exercises at the end of every section. Each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology.
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.
Object Lessons
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Author : Caren Holtzman
language : en
Publisher: Stenhouse Publishers
Release Date : 2011
Object Lessons written by Caren Holtzman and has been published by Stenhouse Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Education categories.
Uses a highly visual approach to show students and teachers the art in math and the math in art.
Opt Art
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Author : Robert Bosch (mathématicien)
language : en
Publisher: Princeton University Press
Release Date : 2019-11-12
Opt Art written by Robert Bosch (mathématicien) 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 2019-11-12 with Art categories.
Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art--opt art. art.
Math Art Fun
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Author : Robin Ward
language : en
Publisher: Bright Sky Publishing
Release Date : 2011
Math Art Fun written by Robin Ward and has been published by Bright Sky Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Art in mathematics education categories.
Math Goggles is a collection of field-tested activities for children that integrate mathematics into the world of the visual arts. Serving as the focal point for each mathematics activity is the work of a famous modern artist"Jackson Pollock, Andy Warhol, Georgie O'Keefe, and many more. After learning brief biographical and anecdotal information about the artist, the reader engages in an exploration of the mathematics embedded in the artwork by creating the featured piece of artwork in the spirit of the artist. Step-by-step instructions accompanied by color images of the artistic masterpieces as well as actual student work aid the reader in visualizing and understanding how to create the art in each activity. As the reader creates each masterpiece, mimicking the great masters, they simultaneously hone their estimation, counting, measurement, and number-sense skills while noticing, creating, and describing shapes and patterns and experimenting with symmetry and probability.
Mathematics And Visual Arts
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Author :
language : en
Publisher:
Release Date : 1997
Mathematics And Visual Arts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Art categories.
Viewpoints
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Author : Marc Frantz
language : en
Publisher: Princeton University Press
Release Date : 2011-07-05
Viewpoints written by Marc Frantz 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 2011-07-05 with Mathematics categories.
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)
Mathematics And Art
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Author : Claude Bruter
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-21
Mathematics And Art written by Claude Bruter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-21 with Mathematics categories.
Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.
Object Lessons
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Author : Caren Holtzman
language : en
Publisher: Taylor & Francis
Release Date : 2024-11-15
Object Lessons written by Caren Holtzman and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Education categories.
When Caren Holtzman and Lynn Susholtz look around a classroom, they see “a veritable goldmine of mathematical investigations” involving number, measurement, size, shape, symmetry, ratio, and proportion. They also think of the ways great artists have employed these concepts in their depictions of objects and space—for example, Picasso’s use of geometric shapes in his Cubist still lifes or contemporary artist Tara Donovan’s room-sized sculptures of everyday items. In their new book Object Lessons, Caren (a math educator) and Lynn (an artist and art educator) use a highly visual approach to show students and teachers the art in math and the math in art. Integrating visual arts into math experiences makes the lessons accessible, engaging, and meaningful for a wide range of students. In each chapter, the authors use everyday objects to create rigorous, hands-on activities that address key mathematics standards and concepts. Each lesson provides: • an introduction to the featured object that explains how it connects to key mathematical concepts; • a discussion of the artists, art styles and techniques featured; • activities organized by grade level and math content area; • the basic materials required to prepare and teach each lesson; • a clear picture of what the lesson will look like in a classroom; and • a list of resources. The book and its accompanying CD feature a wonderful gallery of images—including art photos and student work—and a collection of links to art education organizations, museums, and Web sites that focus on the work of forty major artists.