Author: David Mumford Publisher: Cambridge University Press ISBN: 9780521352536 Category : Computers Languages : en Pages : 422
Book Description
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Author: Diana Davis Publisher: American Mathematical Soc. ISBN: 1470461226 Category : Education Languages : en Pages : 171
Book Description
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
Author: Lauren Haynes Publisher: ISBN: 9780983466512 Category : Languages : en Pages :
Book Description
This full color catalog details the State of the Art 2020 exhibition at Crystal Bridges Museum of American Art and the Momentary in Bentonville, Arkansas from February 22 through May 24, 2020.
Author: Juliette Bessette Publisher: Mdpi AG ISBN: 9783039360642 Category : Art Languages : en Pages : 316
Book Description
The articles collected in this volume from the two companion Arts Special Issues, "The Machine as Art (in the 20th Century)" and "The Machine as Artist (in the 21st Century)", represent a unique scholarly resource: analyses by artists, scientists, and engineers, as well as art historians, covering not only the current (and astounding) rapprochement between art and technology but also the vital post-World War II period that has led up to it; this collection is also distinguished by several of the contributors being prominent individuals within their own fields, or as artists who have actually participated in the still unfolding events with which it is concerned
Author: Ph. D. Dejenie A. Lakew Publisher: AuthorHouse ISBN: 1449049524 Category : Mathematics Languages : en Pages : 99
Book Description
This Mathematical imagery book, is a show case for the ubiquity of Mathematics, Mathematics learning and doing Mathematics. The book contains painstakingly crafted images that look like beautiful natural phenomena which we see in the outside world and yet all are generated by Mathematical formulas. The author therefore concludes that all things we see in nature have Mathematical expressions that describe them. The book is therefore a visual eye opener for those who need to appreciate, learn, do and see a different and artistic side of Mathematics. Few of the images are posted in the imagery section of the American Mathematical Society's web site. The book is suitable for almost all people including parents, students, teachers, artists, engineers, scientists, Mathematicians and others. The author invites you a tour in to a museum of Mathematical images in which super symmetric images are abundantly presented.
Author: Lynn Gamwell Publisher: Princeton University Press ISBN: 0691165289 Category : Art Languages : en Pages : 576
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: Jill Ahlberg Yohe Publisher: University of Washington Press ISBN: 9780295745794 Category : Indian art Languages : en Pages : 0
Book Description
"Women have long been the creative force behind Native American art, yet their individual contributions have been largely unrecognized, instead treated as anonymous representations of entire cultures. 'Hearts of Our People: Native Women Artists' explores the artistic achievements of Native women and establishes their rightful place in the art world. This lavishly illustrated book, a companion to the landmark exhibition, includes works of art from antiquity to the present, made in a variety of media from textiles and beadwork to video and digital arts. It showcases more than 115 artists from the United States and Canada, spanning over one thousand years, to reveal the ingenuity and innovation fthat have always been foundational to the art of Native women."--Page 4 of cover.
Author: Carolyn L. Kane Publisher: Univ of California Press ISBN: 0520974492 Category : Language Arts & Disciplines Languages : en Pages : 252
Book Description
A free ebook version of this title will be available through Luminos, University of California Press’ Open Access publishing program for monographs. Visit www.luminosoa.org to learn more. High-Tech Trash analyzes creative strategies in glitch, noise, and error to chart the development of an aesthetic paradigm rooted in failure. Carolyn L. Kane explores how technologically influenced creative practices, primarily from the second half of the twentieth and first quarter of the twenty-first centuries, critically offset a broader culture of pervasive risk and discontent. In so doing, she questions how we continue onward, striving to do better and acquire more, despite inevitable disappointment. High-Tech Trash speaks to a paradox in contemporary society in which failure is disavowed yet necessary for technological innovation.
Author: Maria Popova Publisher: Vintage ISBN: 1524748145 Category : Biography & Autobiography Languages : en Pages : 594
Book Description
Figuring explores the complexities of love and the human search for truth and meaning through the interconnected lives of several historical figures across four centuries—beginning with the astronomer Johannes Kepler, who discovered the laws of planetary motion, and ending with the marine biologist and author Rachel Carson, who catalyzed the environmental movement. Stretching between these figures is a cast of artists, writers, and scientists—mostly women, mostly queer—whose public contribution have risen out of their unclassifiable and often heartbreaking private relationships to change the way we understand, experience, and appreciate the universe. Among them are the astronomer Maria Mitchell, who paved the way for women in science; the sculptor Harriet Hosmer, who did the same in art; the journalist and literary critic Margaret Fuller, who sparked the feminist movement; and the poet Emily Dickinson. Emanating from these lives are larger questions about the measure of a good life and what it means to leave a lasting mark of betterment on an imperfect world: Are achievement and acclaim enough for happiness? Is genius? Is love? Weaving through the narrative is a set of peripheral figures—Ralph Waldo Emerson, Charles Darwin, Elizabeth Barrett Browning, Herman Melville, Frederick Douglass, Nathaniel Hawthorne, and Walt Whitman—and a tapestry of themes spanning music, feminism, the history of science, the rise and decline of religion, and how the intersection of astronomy, poetry, and Transcendentalist philosophy fomented the environmental movement.
Author: David Mumford
Author: Diana Davis
Author: Lauren Haynes
Author: Juliette Bessette
Author: Ph. D. Dejenie A. Lakew
Author: 3dtotal 3dtotal Publishing
Author: Lynn Gamwell
Author: Jill Ahlberg Yohe
Author: Carolyn L. Kane
Author: Maria Popova