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Author | : Andrea K. Henderson |
Publisher | : Oxford University Press |
Total Pages | : 322 |
Release | : 2018-04-05 |
Genre | : Literary Criticism |
ISBN | : 0192538063 |
Download Algebraic Art Book in PDF, ePub and Kindle
Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics. The nineteenth century was a moment of extraordinary mathematical innovation, witnessing the development of non-Euclidean geometry, the revaluation of symbolic algebra, and the importation of mathematical language into philosophy. All these innovations sprang from a reconception of mathematics as a formal rather than a referential practice--as a means for describing relationships rather than quantities. For Victorian mathematicians, the value of a claim lay not in its capacity to describe the world but its internal coherence. This concern with formal structure produced a striking convergence between mathematics and aesthetics: geometers wrote fables, logicians reconceived symbolism, and physicists described reality as consisting of beautiful patterns. Artists, meanwhile, drawing upon the cultural prestige of mathematics, conceived their work as a 'science' of form, whether as lines in a painting, twinned characters in a novel, or wavelike stress patterns in a poem. Avant-garde photographs and paintings, fantastical novels like Flatland and Lewis Carroll's children's books, and experimental poetry by Swinburne, Rossetti, and Patmore created worlds governed by a rigorous internal logic even as they were pointedly unconcerned with reference or realist protocols. Algebraic Art shows that works we tend to regard as outliers to mainstream Victorian culture were expressions of a mathematical formalism that was central to Victorian knowledge production and that continues to shape our understanding of the significance of form.
Author | : Richard Rusczyk |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : Algebra |
ISBN | : 9781934124147 |
Download Introduction to Algebra Book in PDF, ePub and Kindle
Author | : Robert Bosch |
Publisher | : Princeton University Press |
Total Pages | : 200 |
Release | : 2019-11-12 |
Genre | : Art |
ISBN | : 0691164061 |
Download Opt Art Book in PDF, ePub and Kindle
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 | : François Viète |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2006-01-01 |
Genre | : Mathematics |
ISBN | : 0486453480 |
Download The Analytic Art Book in PDF, ePub and Kindle
This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.
Author | : John Kersey |
Publisher | : |
Total Pages | : 348 |
Release | : 1673 |
Genre | : Algebra |
ISBN | : |
Download The elements of that mathematical art commonly called algebra Book in PDF, ePub and Kindle
Author | : Richard Rusczyk |
Publisher | : |
Total Pages | : 224 |
Release | : 2011-08 |
Genre | : Algebra |
ISBN | : 9781934124222 |
Download Prealgebra Solutions Manual Book in PDF, ePub and Kindle
Author | : Robert Fathauer |
Publisher | : CRC Press |
Total Pages | : 443 |
Release | : 2020-12-07 |
Genre | : Mathematics |
ISBN | : 0429589239 |
Download Tessellations Book in PDF, ePub and Kindle
Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles
Author | : Claude Bruter |
Publisher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 2002-08-21 |
Genre | : Mathematics |
ISBN | : 9783540434221 |
Download Mathematics and Art Book in PDF, ePub and Kindle
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.
Author | : Geronimo Cardano |
Publisher | : |
Total Pages | : 267 |
Release | : 1968 |
Genre | : |
ISBN | : |
Download The Great Art Or the Rules of Algebra Book in PDF, ePub and Kindle
Author | : Henry OTTLEY (the Elder.) |
Publisher | : |
Total Pages | : 44 |
Release | : 1828 |
Genre | : |
ISBN | : |
Download Algebraic Exercises, being a set of examples, on all the rules in algebra; with a collection of new questions producing simple and quadratic equations, etc Book in PDF, ePub and Kindle