Handbook of the Mathematics of the Arts and Sciences
Edited by Bharath Sriraman ()
in Springer Books from Springer
Date: 2021
ISBN: 978-3-319-57072-3
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Chapters in this book:
- Ch 1 Mathematics, Art, and Aesthetics: An Introduction
- Bharath Sriraman and Kyeonghwa Lee
- Ch 2 The Art of Modern Homo Habilis Mathematicus, or: What Would Jon Borwein Do?
- Scott B. Lindstrom
- Ch 3 The Beauty of Blaschke Products
- Ulrich Daepp, Pamela Gorkin, Gunter Semmler and Elias Wegert
- Ch 4 Looking Through the Glass
- Annalisa Crannell
- Ch 5 Designing Binary Trees
- Vincent J. Matsko
- Ch 6 Homeomorphisms Between the Circular Disc and the Square
- Chamberlain Fong
- Ch 7 A Visual Overview of Coprime Numbers
- Benjamín A. Itzá-Ortiz, Roberto López-Hernández and Pedro Miramontes
- Ch 8 Almost All Surfaces Are Made Out of Hexagons
- Hyungryul Baik
- Ch 9 Anamorphosis Reformed: From Optical Illusions to Immersive Perspectives
- António B. Araújo
- Ch 10 Anamorphosis: Between Perspective and Catoptrics
- Agostino De Rosa and Alessio Bortot
- Ch 11 Geometric and Aesthetic Concepts Based on Pentagonal Structures
- Cornelie Leopold
- Ch 12 Mathematics and Origami: The Art and Science of Folds
- Natalija Budinski
- Ch 13 Geometric Strategies in Creating Origami Paper Lampshades: Folding Miura-ori, Yoshimura, and Waterbomb Tessellations
- Jiangmei Wu
- Ch 14 Mathematical Design for Knotted Textiles
- Nithikul Nimkulrat and Tuomas Nurmi
- Ch 15 Art and Science of Rope
- Alexander Åström and Christoffer Åström
- Ch 16 A Survey of Cellular Automata in Fiber Arts
- Joshua Holden and Lana Holden
- Ch 17 Mathematics and Art: Connecting Mathematicians and Artists
- Joseph Malkevitch
- Ch 18 Mathematics and Art: Unifying Perspectives
- Heather M. Russell and Radmila Sazdanovic
- Ch 19 Spherical Perspective
- António B. Araújo
- Ch 20 A Hidden Order: Revealing the Bonds Between Music and Geometric Art – Part One
- Sama Mara and Lee Westwood
- Ch 21 A Hidden Order: Revealing the Bonds Between Music and Geometric Art – Part Two
- Lee Westwood and Sama Mara
- Ch 22 Korean Traditional Patterns: Frieze and Wallpaper
- Hyunyong Shin, Shilla Sheen, Hyeyoun Kwon and Taeseon Mun
- Ch 23 Projections of Knots and Links
- Alexander Åström and Christoffer Åström
- Ch 24 Comparative Temple Geometries
- Kelly McGonigal
- Ch 25 Wasan Geometry
- Hiroshi Okumura
- Ch 26 Geometries of Light and Shadows, from Piero della Francesca to James Turrell
- Agostino De Rosa and Francesco Bergamo
- Ch 27 TOND to TOND: Self-Similarity of Persian TOND Patterns, Through the Logic of the X-Tiles
- Jean-Marc Castera
- Ch 28 Artistic Manifestations of Topics in String Theory
- Nadav Drukker
- Ch 29 Cutting, Gluing, Squeezing, and Twisting: Visual Design of Real Algebraic Surfaces
- Stephan Klaus
- Ch 30 Double Layered Polyhedra
- Rinus Roelofs
- Ch 31 Mathematics, Humanities, and the Language Arts: An Introduction
- Gizem Karaali and Bharath Sriraman
- Ch 32 Mathematics and Poetry: Arts of the Heart
- Gizem Karaali and Lawrence M. Lesser
- Ch 33 “Elegance in Design”: Mathematics and the Works of Ted Chiang
- Jessica K. Sklar
- Ch 34 Running in Shackles: The Information-Theoretic Paradoxes of Poetry
- Dmitri Manin
- Ch 35 Metaphor: A Key Element of Beauty in Poetry and Mathematics
- Sânziana Caraman and Lorelei Caraman
- Ch 36 Poems Structured by Mathematics
- Daniel May
- Ch 37 Lewis Carroll’s Defense of Euclid: Parallels or Contrariwise
- Natalie Schuler Evers
- Ch 38 Architecture and Mathematics: An Ancient Symbiosis
- Michael J. Ostwald
- Ch 39 Egyptian Architecture and Mathematics
- Corinna Rossi
- Ch 40 Labyrinth
- Tessa Morrison
- Ch 41 Classical Greek and Roman Architecture: Mathematical Theories and Concepts
- Sylvie Duvernoy
- Ch 42 Classical Greek and Roman Architecture: Examples and Typologies
- Sylvie Duvernoy
- Ch 43 Mathematics and the Art and Science of Building Medieval Cathedrals
- Josep Lluis i Ginovart
- Ch 44 Renaissance Architecture
- Sylvie Duvernoy
- Ch 45 Baroque Architecture
- Sylvie Duvernoy
- Ch 46 Temple of Solomon
- Tessa Morrison
- Ch 47 Utopian Cities
- Tessa Morrison
- Ch 48 Tessellated, Tiled, and Woven Surfaces in Architecture
- Michael J. Ostwald
- Ch 49 Stereotomy: Architecture and Mathematics
- Giuseppe Fallacara and Roberta Gadaleta
- Ch 50 Fractal Geometry in Architecture
- Josephine Vaughan and Michael J. Ostwald
- Ch 51 Parametric Design: Theoretical Development and Algorithmic Foundation for Design Generation in Architecture
- Ning Gu, Rongrong Yu and Peiman Amini Behbahani
- Ch 52 Shape Grammars: A Key Generative Design Algorithm
- Ning Gu and Peiman Amini Behbahani
- Ch 53 Space Syntax: Mathematics and the Social Logic of Architecture
- Michael J. Dawes and Michael J. Ostwald
- Ch 54 Isovists: Spatio-visual Mathematics in Architecture
- Michael J. Dawes and Michael J. Ostwald
- Ch 55 Fractal Dimensions in Architecture: Measuring the Characteristic Complexity of Buildings
- Michael J. Ostwald and Josephine Vaughan
- Ch 56 Mathematics in Society: An Introduction
- Bharath Sriraman
- Ch 57 Probabilistic Thinking from Elementary Grades to Graduate School
- John Beam
- Ch 58 Risk and Decision Making: Modeling and Statistics in Medicine – Fundamental Aspects
- Manfred Borovcnik
- Ch 59 Risk and Decision Making: Modeling and Statistics in Medicine – Case Studies
- Manfred Borovcnik
- Ch 60 To Justice Through Statistics
- Mary W. Gray
- Ch 61 Actuarial (Mathematical) Modeling of Mortality and Survival Curves
- Patrick L. Brockett and Yuxin Zhang
- Ch 62 Mathematics in the Maritime
- Kyra Mycroft and Bharath Sriraman
- Ch 63 Mathematics and Economics, with Special Attention to Social Choice Theory
- Maurice Salles
- Ch 64 Social Algorithms and Optimization
- Xin-She Yang
- Ch 65 Applications of the Gini Index Beyond Economics and Statistics
- Roberta La Haye and Petr Zizler
- Ch 66 A Computational Music Theory of Everything: Dream or Project?
- Guerino Mazzola
- Ch 67 Groovy Mathematics: Toward a Theoretical Model of Rhythm
- Carl Haakon Waadeland
- Ch 68 Music, Dance, and Differential Equations
- Lorelei Koss
- Ch 69 Breaking the Ice: Figure Skating
- Diana Cheng
- Ch 70 The Mathematical Foundations of the Science of Cities
- Christa Brelsford and Taylor Martin
- Ch 71 Gilles Deleuze’s The Fold: Calculus and Curvilinear Design
- Menno Hubregtse
- Ch 72 Mathematics and Oenology: Exploring an Unlikely Pairing
- Lucio Cadeddu, Alessandra Cauli and Stefano De Marchi
- Ch 73 CombinArtorial Games
- Urban Larsson
- Ch 74 Combinatorial Artists: Counting, Permutations, and Other Discrete Structures in Art
- Lali Barrière
- Ch 75 Mathematics, Science, and Dynamical Systems: An Introduction
- Torsten Lindström and Bharath Sriraman
- Ch 76 Modern Ergodic Theory: From a Physics Hypothesis to a Mathematical Theory with Transformative Interdisciplinary Impact
- Doğan Çömez
- Ch 77 Two-Way Thermodynamics
- L. S. Schulman
- Ch 78 Visualizing Four Dimensions in Special and General Relativity
- Magdalena Kersting
- Ch 79 Coevolution of Mathematics, Statistics, and Genetics
- Yun Joo Yoo
- Ch 80 Topology in Biology
- Ann Sizemore Blevins and Danielle S. Bassett
- Ch 81 Dynamical Systems and Fitness Maximization in Evolutionary Biology
- William Basener, Salvador Cordova, Ola Hössjer and John Sanford
- Ch 82 Damped Dynamical Systems for Solving Equations and Optimization Problems
- Mårten Gulliksson, Magnus Ögren, Anna Oleynik and Ye Zhang
- Ch 83 Mathematics and Climate Change
- Gerrit Lohmann
- Ch 84 Mathematical Models Can Predict the Spread of an Invasive Species
- John G. Alford
- Ch 85 Mathematics and Recurrent Population Outbreaks
- Torsten Lindström
- Ch 86 Limit Cycles in Planar Systems of Ordinary Differential Equations
- Torsten Lindström
- Ch 87 Mathematical Models in Neuroscience: Approaches to Experimental Design and Reliable Parameter Determination
- Denis Shchepakin, Leonid Kalachev and Michael Kavanaugh
- Ch 88 Interdisciplinary Mathematics and Sciences in Schematic Ocean Current Maps in the Seas Around Korea
- Kyung-Ae Park, Jae-Jin Park, Ji-Eun Park, Byoung-Ju Choi, Sang-Ho Lee, Do-Seong Byun, Eun-Il Lee, Boon-Soon Kang, Hong-Ryeol Shin and Sang-Ryong Lee
- Ch 89 Mathematics, History, and Philosophy: An Introduction
- Bharath Sriraman
- Ch 90 Writing the History of Mathematics: Interpretations of the Mathematics of the Past and Its Relation to the Mathematics of Today
- Johanna Pejlare and Kajsa Bråting
- Ch 91 Mathematics and Cultures Across the Chessboard: The Wheat and Chessboard Problem
- Alberto Bardi
- Ch 92 Ancient Greek Methods of Measuring Astronomical Sizes
- Adam Clinch
- Ch 93 Space and Time in the Foundations of Mathematics, or Some Challenges in the Interactions with Other Sciences
- Giuseppe Longo
- Ch 94 Baroquian Folds: Leibniz on Folded Fabrics and the Disruption of Geometry
- Michael Friedman
- Ch 95 Nyaya Methodology and Western Mathematical Logic: Origins and Implications
- Martin Schmidt and Bharath Sriraman
- Ch 96 Reception and Contestation: Mathematics and Esoteric Spirituality, 1875–1915
- K. G. Valente
- Ch 97 Islamic Design and Its Relation to Mathematics
- Brian Wichmann and David Wade
- Ch 98 Mathematical Explanations and Mathematical Applications
- Markus Pantsar
- Ch 99 Introduction to Mathematical Influences and New Directions
- K. G. Valente
- Ch 100 Ethnomodelling as the Translation of Diverse Cultural Mathematical Practices
- Milton Rosa and Daniel Clark Orey
- Ch 101 Cognition, Interdisciplinarity, and Equity
- Aditya P. Adiredja
- Ch 102 Mathematics and Rhetoric
- G. Mitchell Reyes
- Ch 103 Modes and Modalities of Mathematical Authority: Disseminating the “New Infinite,” 1870–1920
- K. G. Valente
- Ch 104 “Bok Bok”: Exploring the Game of Chicken in Film
- Jennifer Firkins Nordstrom and Jessica K. Sklar
- Ch 105 Moral Mathematics
- Sarah Voss
- Ch 106 Feminist Theories Informing Mathematical Practice
- Linda McGuire
- Ch 107 Queer(y)ing Mathematical Knowledge and Practices
- K. G. Valente
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DOI: 10.1007/978-3-319-57072-3
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