Imagine math : between culture and mathematics

著者

書誌事項

Imagine math : between culture and mathematics

Michele Emmer, editor

Springer, c2012-

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注記

Includes bibliographical references

Other editor, 6: Marco Abate

Place of publication varies, 6: Cham, Switzerland

内容説明・目次

巻冊次

3 ISBN 9783319012308

内容説明

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series "Imagine Math" casts light on what is new and interesting in the relationships between mathematics, imagination and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson's contribution. Several further papers are devoted to mathematical models and their influence on modern and contemporary art, including the work of Henry Moore and Hiroshi Sugimoto. Among the many other interesting contributions are an homage to Benoit Mandelbrot with reference to the exhibition held in New York in 2013 and the thoughts of Jean-Pierre Bourguignon on the art and math exhibition at the Fondation Cartier in Paris. An interesting part is dedicated to the connections between math, computer science and theatre with the papers by C. Bardainne and A. Mondot. The topics are treated in a way that is rigorous but captivating, detailed but very evocative. This is an all-embracing look at the world of mathematics and culture.

目次

Science Fiction, Art and the Fourth Dimension.- From Modernity to Immortality: Art and Mathematics in the Twenties.- Geometrical Models and Imaginations.- From Sinisgalli to Hiroshi Sugimoto.- Mathematical Narratives and the Surrealist Tradition.- Anxious Geometries.- Pasta By Design: The New Geometries of Pasta.- Photos, Objects and 3D Reconstructions.- Geometry, Numbers & Diagrams in the New York Art Scene around 1960.- The Islands of Benoit Mandeblrot: On the relationship between abstract reasoning and visual imagination.- Fractals and Nervous System.- New Mathematics and Architecture.- In search of the Lost Roots.- Probabilities and Traps of Intuition.- Sand grains and Earthquakes.- Henry Moore and Strings.- Fluid Architecture.- Sagrada Familia.- Fragments of an Existentialist Mathematics.- Living numbers.
巻冊次

6 ISBN 9783319939483

内容説明

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.

目次

1 M. Emmer, Zaha Hadid: Fluid and Topological Architecture.- 2 G. Racana, Zaha Hadid Architects: the Mathematics of Fluidity.- 3 M. Andreatta, A Mathematician at the MUSE, the Science Museum of Trento.- 4 F. Morgan, To Bring Math to the World, Start with Mathematicians.- 5 O. Pekonen, My Life in the Shape of Maupertuis.- 6 M. Andreatta, From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology.- 7 S. Pagano, Mathematics and Labyrinths in Twentieth Century's Music.- 8 M. Abate, How to prevent Crimes using Earthquakes.- 9 M. Codegone, A Negativer Number as the Sum of All Natural Numbers.- 10 C. Falcolini, The Arch of Titus at the Circus Maximus in Rome: from mathematical models to virtual reconstruction.- 11 F. Morgan, The Space of Planar Soap Bubble Clusters.- 12 P. Rossi, Mathematics as a Social Language: a (Past and Present) Phenomenology.- 13 G. Bruno and M. Ciafrei, Balance in... Forms: The Dance of Design.- 14 A. Quarteroni, C. Vergara and M. Landajuela, Mathematical and Numerical Description of the Heart Function.- 15 G. M. Todesco, Weird Gears.- 16 A. Brigaglia, N. Palladino and M. A. Vaccaro, Historical Notes on Star Geometries in Mathematics, Art and Nature.- 17 C. Leopold, Pentagonal Structures, Structures as Impulse for Art.- 18 V. Moncorge, Mathematics, a Closer Look.- 19 A. Mouchet, Drowning by Numbers: Topology and Physics in Fluid Dynamics.- 20 M. Emmer, Alain Badiou: Eloges des Mathematiques.- 21 P. Magnaghi-Delfino and T. Norando, Luca Pacioli: Letters from Venice.- 22 R. Schiavi, Dante's Underworld: Geometrical Structure of the Three Kingdoms of the Divine Comedy.- 23 S. Singh, The Simpsons and Their Mathematical Secrets.- 24 E. Strickland, From Algebra to the Secrets of the Universe: the Fascinating Life of Mary Somerville.
巻冊次

[1] ISBN 9788847024267

内容説明

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This book is intended to contribute to grasping how much that is interesting and new is happening in the relationships between mathematics, imagination and culture. With a look at the past, at figures and events, that help to understand the phenomena of today. It is no coincidence that this volume contains an homage to the great Italian artist of the 1700s, Andrea Pozzo, and his perspective views. Theatre, art and architecture are the topics of choice, along with music, literature and cinema. No less important are applications of mathematics to medicine and economics. The treatment is rigorous but captivating, detailed but full of evocations, an all-embracing look at the world of mathematics and culture

目次

The Many Faces of Lorenz Knots by M. Abate.- Lost in a Good Book: Jorge Borges' Inescapable Labyrinth by W.G. Bloch.- The Mobius Strip by E. Blondeau.- The Unreasonable Effectiveness of Mathematics in Human Sciences: The Attribution of Texts to Antonio Gramsci by D. Benedetto, E. Caglioti, M. Degli Esposti.- Exactitude and Extravagance: Andrea Pozzo's "Viewpoint" by F. Camerota.- Numeracy, Metrology and Mathematics in Mesopotamia: Social and Cultural Practices by G. Chambon.- The FantasticWorld of Tor' Bled-Nam by M. Emmer.- From Brigitte Bardot to Angelina Jolie by M. Emmer.- Visual Harmonies: an Exhibition on Art and Math by M. Emmer.- The Reconstruction of the Teatro La Fenice: "splendidezze" and "dorature" (Gleam and Gilding) by E. Fabbri.- Hypatia's Dream by M. Vincenzi.- E Pluribus Unum by M. LiCalzi.- Origami and Partial Differential Equations by P. Marcellini, E. Paolini.- Modern geometry versus modern architecture by I. Birindelli, R. Cedrone.- The Apse Scenes in the Prospective Inventions of Andrea Pozzo by S. Carandini.- Emilio Prini, Alison Knowles, and Art's Logic by C. Lauf.- Connecting Ventricular Assist Devices to the Aorta: a Numerical Model by J. Bonnemain, S. Deparis, A. Quarteroni.- Aperiodic Tiling by G.M. Todesco.- Andrea Pozzo: Art, Culture and Mathematics by M. Costamagna.- Women's Contributions to the Progress of Mathematics: Lights and Shadows by E. Strickland.- The Mathematical Ideas of Luca Pacioli Depicted by Iacopo de' Barbari in the Doppio ritratto by E. Gamba.- All the numbers end in numbers. On a work by Alighiero Boetti by A. Valle.- De divina proportione: From a Renaissance Treatise to a Multimedia Work for Theatre by S. Sorini.- Waiting for ABRACADABRA. Occurrences of words and leading numbers by E. De Santis, F. Spizzichino.-
巻冊次

2 ISBN 9788847028883

内容説明

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. The new volume in the series "Imagine Math" is intended to contribute to grasping how much that is interesting and new is happening in the relationships between mathematics, imagination and culture. The present book begins with the connections between mathematics, numbers, poetry and music, with the latest opera by Italian composer Claudio Ambrosini. Literature and narrative also play an important role here. There is cinema too, with the "erotic" mathematics films by Edward Frenkel, and the new short "Arithmetique " by Munari and Rovazzani. The section on applications of mathematics features a study of ants, as well as the refined forms and surfaces generated by algorithms used in the performances by Adrien Mondot and Claire Bardainne. Last but not least, in honour of the hundredth anniversary of his birth, a mathematical, literary and theatrical homage to Alan Turing, one of the outstanding figures of the twentieth century.

目次

Exotic Spheres and John Milnor by M. Abate.- The Solitude of Last Words by C. Ambrosini.- From Pollock's Summertime to Jacksontime by D. Amodio.- Spatial Rhythms in Cinema between the Avant-Garde and Entertainment by G.P. Brunetta.- Myrmedrome: Simulating the life of an Ant Colony by S. Cacace, E. Cristiani, D. D'Eustacchio.- From Canvas to Music: Mathematics as a Tool for the Composition of Jackson Time by C. de Fabritiis.- Goedel's Childhood and Other Algorithms by V. Della Mea.- Lessons in Mathematics, at the Cinema by M. Emmer.- The Fascination of Numbers, between Music and Poetry by M. Emmer.- Numeri Malefici (Evil Numbers): Homage to Fabio Mauri by M. Emmer.- Extracting Information from Chaos: a Case in Climatological Analysis by F. Bonghi, R. Ferretti.- Morphogenesis and dynamical systems by S. Franceschelli.- Mathematics, Love, and Tattoos by E. Frenkel.- Alan Turing and the Poisoned Apple by M. Vincenzi.- Mathematics according to Italo Calvino by G. Lolli.- Alan M. Turing (1912-1954) by G. Lolli.- Empirical Evidence that the World Is Not a Computer by J.W. McAllister.- On the Tangible Boundary between Real and Virtual by A. Mondot.- Arithmetique by G. Munari.- The Mathematical Mind - Iconography of a Tension by P. Pagli.- The Wild Number Problem: Math or Fiction? by P. Schogt.- Fort Marghera and the French and Austrian Plans of Defence by M. Scroccaro.- L'art du Trait est l'Attrait de l'Art by S. Skaf.- Cellular Automata: the Game of Life by G.M. Todesco.- A Play at Dusk Mathematics in Literature by C. Toffalori.

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詳細情報

  • NII書誌ID(NCID)
    BB09101438
  • ISBN
    • 9788847024267
    • 9788847028883
    • 9783319012308
    • 9783319939483
  • LCCN
    2011944690
  • 出版国コード
    it
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Milan
  • ページ数/冊数
    v.
  • 大きさ
    25 cm
  • 分類
  • 件名
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