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Mathematics is Beautiful

2021-06-24 Mathematics
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Release : 2021-06-24
Genre : Mathematics
Kind : eBook
Book Rating : 896/5 ( reviews)

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Book Synopsis Mathematics is Beautiful by : Heinz Klaus Strick

Download or read book Mathematics is Beautiful written by Heinz Klaus Strick. This book was released on 2021-06-24. Available in PDF, EPUB and Kindle. Book excerpt: In 17 chapters, this book attempts to deal with well-known and less well-known topics in mathematics. This is done in a vivid way and therefore the book contains a wealth of colour illustrations. It deals with stars and polygons, rectangles and circles, straight and curved lines, natural numbers, square numbers and much more. If you look at the illustrations, you will discover plenty of exciting and beautiful things in mathematics. The book offers a variety of suggestions to think about what is depicted and to experiment in order to make and check your own assumptions. For many topics, no (or only few) prerequisites from school lessons are needed. It is an important concern of the book that young people find their way to mathematics and that readers whose school days are some time ago discover new things. The numerous references to internet sites and further literature help in this respect. "Solutions" to the suggestions interspersed in the individual sections can be downloaded from the Springer website. The book was thus written for everyone who enjoys mathematics or who would like to understand why the book bears this title. It is also aimed at teachers who want to give their students additional or new motivation to learn. This book is a translation of the original German 2nd edition Mathematik ist schön by Heinz Klaus Strick, published by Springer-Verlag GmbH, DE, part of Springer Nature in 2019. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). In the subsequent editing, the author, with the friendly support of John O'Connor, St Andrews University, Scotland, tried to make it closer to a conventional translation. Still, the book may read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Beautiful Mathematics

2011-12-22 Mathematics
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Release : 2011-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 763/5 ( reviews)

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Book Synopsis Beautiful Mathematics by : Martin Erickson

Download or read book Beautiful Mathematics written by Martin Erickson. This book was released on 2011-12-22. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical ideas with aesthetic appeal for any mathematically minded person.

Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

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

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Book Synopsis Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics by : Ulianov Montano

Download or read book Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics written by Ulianov Montano. This book was released on 2013-12-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Beauty in Mathematics: Symmetry and Fractality

Juvenile Nonfiction
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Genre : Juvenile Nonfiction
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Beauty in Mathematics: Symmetry and Fractality by : Vladimir A. Testov

Download or read book Beauty in Mathematics: Symmetry and Fractality written by Vladimir A. Testov. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The most important concepts underlying beauty are the concepts of symmetry and fractality, but the relationship of these concepts has not yet remained clear. For centuries, beauty was understood only as a stable order and symmetry. Synergetic worldview allows us to give a new assessment: beauty can be seen as an attractor, the result of self-organization of nature, or the flight of human thought. On the one hand, fractality can be considered one of the manifestations of symmetry in an expansive sense.

Beautiful Geometry

2017-04-11 Art
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Release : 2017-04-11
Genre : Art
Kind : eBook
Book Rating : 888/5 ( reviews)

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Book Synopsis Beautiful Geometry by : Eli Maor

Download or read book Beautiful Geometry written by Eli Maor. This book was released on 2017-04-11. Available in PDF, EPUB and Kindle. Book excerpt: An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

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