The Visual Mind II (Hardcover)

Michele Emmer

The Visual Mind II (Hardcover)
  • 出版商: MIT
  • 出版日期: 2005-04-01
  • 售價: $1,500
  • 語言: 英文
  • 頁數: 712
  • 裝訂: Hardcover
  • ISBN: 0262050765
  • ISBN-13: 9780262050760

    • 立即出貨(限量) (庫存=3)

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商品描述

Description:

Mathematical forms rendered visually can give aesthetic pleasure; certain works of art -- Max Bill's Moebius band sculpture, for example -- can seem to be mathematics made visible. This collection of essays by artists and mathematicians continues the discussion of the connections between art and mathematics begun in the widely read first volume of The Visual Mind in 1993.

Mathematicians throughout history have created shapes, forms, and relationships, and some of these can be expressed visually. Computer technology allows us to visualize mathematical forms and relationships in new detail using, among other techniques, 3D modeling and animation. The Visual Mind proposes to compare the visual ideas of artists and mathematicians -- not to collect abstract thoughts on a general theme, but to allow one point of view to encounter another. The contributors, who include art historian Linda Dalrymple Henderson and filmmaker Peter Greenaway, examine mathematics and aesthetics; geometry and art; mathematics and art; geometry, computer graphics, and art; and visualization and cinema. They discuss such topics as aesthetics for computers, the Guggenheim Museum in Bilbao, cubism and relativity in twentieth-century art, the aesthetic value of optimal geometry, and mathematics and cinema.

Michele Emmer is Professor of Mathematics at the University of Rome "La Sapienza."

 

Table of Contents:

Introduction
Michele Emmer		 xi
Section 1. Mathematics and Aesthetics 1
1. The Phenomenology of Mathematical Beauty
Gian-Carlo Rota		 3
2. Mathematical Beauty and the Evolution of the Standards of Mathematical Proof
James W. McAllister		 15
3. Aesthetics for Computers, or How to Measure Harmony
Jaroslav Nesetril		 35
4. Visual Mathematics: Mathematics and Art
Michele Emmer		 59
Section 2. Geometry and Art 91
5. Life Through Art
Carmen Bonell		 95
6. John Robinson's Symbolic Sculptures: Knots and Mathematics
Ronald Brown		 125
7. Geometries of Curvature and Their Aesthetics
Brent Collins		 141
8. Poetry in Curves: The Guggenheim Museum in Bilbao
Giusppa Di Cristina		 159
9. Eightfold Way: The Sculpture
Helaman Ferguson and Claire Ferguson		 187
10. The Geometric Aesthetic
George W. Hart		 215
11. Art and the Age of the Sciences
Charles Perry		 235
12. Some Aspects of the Use of Geometry in My Artistic Work
Sylvie Pic		 253
Section 3. Mathematics and Art 269
13. Local/Global in Mathematics and Painting
Capi Corrales Rodriganez and Laura Tedeschini-Lalli		 273
14. Visual Knots: Concerning Geometry and Visuality in the Work of Marcel Duchamp
Manuel Corrada		 309
15. Lunda Symmetry: Where Geometry Meets Art
Paulus Gerdes		 335
16. Four-Dimensional Space or Space-Time? The Emergence of the Cubism-Relativity Myth in New York in the 1940s
Linda Dalrymple Henderson		 349
17. "Reverse Perspective": Historical Fallacies and an Alternative View
Clemena Antonova and Martin Kemp		 399
18. Four-Dimensional Projection: Art and Reality
Tony Robbin		 433
19 Rational Design versus Artistic Intuition in Stained-Glass Art
Tomas Garcia Salgado		 449
Section 4. Geometry, Computer Graphics, and Art 469
20 Dynamics, Chaos, and Design
Michael Field		 473
21. Paul Klee on Computer: Biomathematical Models Help Us Understand His Work
Roberto Giunti		 495
22. Parameterized Sculpture Families
Carlo H. Sequin		 527
23. The Aesthetic Value of Optimal Geometry
John M. Sullivan		 547
Section 5. Mathematics, Visualization, and Cinema 565
24. Mathematics and Cinema
Michele Emmer		 569
25. Some Organizing Principles
Peter Greenaway		 601
26. Figures and Characters in the Great Book of Nature
Jean-Marc Levy-Leblond
27. Circle Packings and the Sacred Lotus
Tibor Tarnai and Koji Miyazaki		 647
28. Meander Mazes on Polysphericons
Anthony Phillips		 667
Contributors 685
Name Index 689
Subject Index 697

商品描述(中文翻譯)

描述：
數學形式的視覺呈現可以帶來美感的滿足感；某些藝術作品，例如Max Bill的Moebius帶雕塑，似乎將數學可視化。這本由藝術家和數學家撰寫的文章集延續了1993年廣受讀者喜愛的第一卷《視覺思維》中關於藝術與數學之間聯繫的討論。

歷史上的數學家創造了形狀、形式和關係，其中一些可以以視覺方式表達。計算機技術使我們能夠使用3D建模和動畫等技術以新的細節來視覺化數學形式和關係。《視覺思維》旨在比較藝術家和數學家的視覺觀念，而不是收集關於一般主題的抽象思考，而是讓一個觀點與另一個觀點相遇。貢獻者包括藝術史學家Linda Dalrymple Henderson和電影製片人Peter Greenaway，他們探討了數學與美學、幾何學與藝術、數學與藝術、幾何學、電腦圖形學和藝術、以及視覺化和電影等主題。他們討論了計算機美學、毕尔巴鄂古根海姆博物馆、二十世紀藝術中的立體主義和相對論、最佳幾何的美學價值，以及數學與電影等。

Michele Emmer是羅馬大學拉斯佩齊亞分校的數學教授。

目錄：
引言
Michele Emmer

第一部分：數學與美學
1. 數學之美學現象學
Gian-Carlo Rota
2. 數學之美與數學證明標準的演變
James W. McAllister
3. 面向計算機的美學，或者如何衡量和諧
Jaroslav Nesetril

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