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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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