Math and Art

Math and Art

Author: Sasho Kalajdzievski

Publisher: CRC Press

ISBN: 9780429664427

Category: Mathematics

Page: 398

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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. 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. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color Includes 21 projects and approximately 280 exercises, about half of which are fully solved Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology New to the Second Edition New exercises, projects and artworks Revised, reorganized and expanded chapters More use of color throughout
Math and Art
Language: en
Pages: 398
Authors: Sasho Kalajdzievski
Categories: Mathematics
Type: BOOK - Published: 2021-09-27 - Publisher: CRC Press

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. Focusing on accessible, visually interesting,
An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology
Language: en
Pages: 110
Authors: Sasho Kalajdzievski, Derek Krepski, Damjan Kalajdzievski
Categories: Mathematics
Type: BOOK - Published: 2020-08-14 - Publisher: CRC Press

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of
An Illustrated Introduction to Topology and Homotopy
Language: en
Pages: 485
Authors: Sasho Kalajdzievski
Categories: Mathematics
Type: BOOK - Published: 2015-03-24 - Publisher: CRC Press

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs
Geometry and Symmetry
Language: en
Pages: 960
Authors: L. Christine Kinsey, Teresa E. Moore, Efstratios Prassidis
Categories: Mathematics
Type: BOOK - Published: 2010-04-19 - Publisher: John Wiley & Sons

This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with
Handbook of Mathematical Induction
Language: en
Pages: 921
Authors: David S. Gunderson
Categories: Computers
Type: BOOK - Published: 2014-01-09 - Publisher: CRC Press

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the