Mathematics and the Aesthetic

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Release : 2007-12-28
Genre : Mathematics
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Book Rating : 457/5 ( reviews)

Mathematics and the Aesthetic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics and the Aesthetic write by Nathalie Sinclair. This book was released on 2007-12-28. Mathematics and the Aesthetic available in PDF, EPUB and Kindle. This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

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Release : 2013-12-20
Genre : Philosophy
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Book Rating : 529/5 ( reviews)

Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics write by Ulianov Montano. This book was released on 2013-12-20. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics available in PDF, EPUB and Kindle. This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities.

Aesthetics of Interdisciplinarity: Art and Mathematics

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Release : 2017-11-28
Genre : Mathematics
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Book Rating : 598/5 ( reviews)

Aesthetics of Interdisciplinarity: Art and Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aesthetics of Interdisciplinarity: Art and Mathematics write by Kristóf Fenyvesi. This book was released on 2017-11-28. Aesthetics of Interdisciplinarity: Art and Mathematics available in PDF, EPUB and Kindle. 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.

Mathematics for Human Flourishing

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Release : 2020-01-07
Genre : Mathematics
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Book Rating : 138/5 ( reviews)

Mathematics for Human Flourishing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics for Human Flourishing write by Francis Su. This book was released on 2020-01-07. Mathematics for Human Flourishing available in PDF, EPUB and Kindle. "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

The Weil Conjectures

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Release : 2019-07-16
Genre : Biography & Autobiography
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Book Rating : 632/5 ( reviews)

The Weil Conjectures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Weil Conjectures write by Karen Olsson. This book was released on 2019-07-16. The Weil Conjectures available in PDF, EPUB and Kindle. A New York Times Editors' Pick and Paris Review Staff Pick "A wonderful book." --Patti Smith "I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge." --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding.