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Author: Robert Bosch
Publisher: Princeton University Press
Published: 2019-11-12
Total Pages: 200
ISBN-13: 0691164061
DOWNLOAD EBOOK →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.
Author: Sasho Kalajdzievski
Publisher: CRC Press
Published: 2011-04-28
Total Pages: 282
ISBN-13: 1584889144
DOWNLOAD EBOOK →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: Lynn Gamwell
Publisher: Princeton University Press
Published: 2016
Total Pages: 576
ISBN-13: 0691165289
DOWNLOAD EBOOK →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: Ruth Scheps
Publisher: John Wiley & Sons
Published: 2021-02-17
Total Pages: 194
ISBN-13: 1786306816
DOWNLOAD EBOOK →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.
Author: Stephen Ornes
Publisher: Sterling New York
Published: 2019
Total Pages: 0
ISBN-13: 9781454930440
DOWNLOAD EBOOK →The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art.
Author: Maria Mannone
Publisher: New Digital Frontiers Srl
Published: 2019
Total Pages: 134
ISBN-13: 9788855090469
DOWNLOAD EBOOK →This book presents images from nature investigated in light of mathematics (category theory), and their possible musical rendition.
Author: Robin Ward
Publisher: Bright Sky Publishing
Published: 2011
Total Pages: 0
ISBN-13: 9781933979892
DOWNLOAD EBOOK →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.
Author: Claude Bruter
Publisher: Springer Science & Business Media
Published: 2012-04-23
Total Pages: 179
ISBN-13: 3642244971
DOWNLOAD EBOOK →The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enriching their visual environment with the new objects created by the mathematical science. Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects, artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives an overview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven. The book includes a wealth of mathematical illustrations from several basic mathematical fields including classical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate the thought processes and the tools used to create their work
Author: Robert Tubbs
Publisher: Johns Hopkins University Press+ORM
Published: 2014-07-03
Total Pages: 276
ISBN-13: 1421414023
DOWNLOAD EBOOK →The author of What Is a Number? examines the relationship between mathematics and art and literature of the 20th century. 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 coincidence, or were these artists following their instincts, which 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 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, this book will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art. “Though the content of Tubbs’s book is challenging, it is also accessible and should interest many on both sides of the perceived divide between mathematics and the arts.” —Choice
