Math and Art: An Introduction to Visual Mathematics

数学与艺术:视觉数学导论 第2版

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作      者
出  版 社
出版时间
2021年03月30日
装      帧
精装
ISBN
9780367076139
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页      码
520
开      本
0 x 0 x 0 cm
语      种
英文
版      次
2
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图书简介
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art._x000D_Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions._x000D_Features_x000D__x000D__x000D_Provides an accessible introduction to mathematics in art_x000D__x000D__x000D_Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) _x000D__x000D__x000D_Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color_x000D__x000D__x000D_Includes 21 projects and about 280 exercises, about half of which are fully solved_x000D__x000D__x000D_Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology_x000D__x000D_New to the Second Edition_x000D__x000D__x000D_New exercises, projects and artworks_x000D__x000D__x000D_Revised, reorganised and expanded chapters_x000D__x000D__x000D_
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