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The goal of this Handbook is to become an authoritative source with chapters that show the origins, unification, and points of similarity between different disciplines and mathematics. Some chapters will also show bifurcations and the development of disciplines which grow to take on a life of their own. Science and Art are used as umbrella terms to encompass the physical, natural and geological sciences, as well as the visual and performing arts.
As arts imagine possibilities, science attempts to generate models to test possibilities, mathematics serves as the tool. This handbook is an indispensable collection to understand todays effort to build bridges between disciplines. It answers questions such as:
What are the origins of interdisciplinarity in mathematics? What are cross-cultural components of interdisciplinarity linked to mathematics? What are contemporary interdisciplinary trends? 

Section Editors:

Michael J. Ostwald, University of Newcastle (Australia)

Kyeong-Hwa Lee, Seoul National University (South Korea)

Torsten Lindström, Linnaeus University (Sweden)

Gizem Karaali, Pomona College (USA)

Ken Valente, Colgate University, (USA)

Consulting Editors:

Alexandre Borovik, Manchester University (UK)

Daina Taimina, Independent Scholar, Cornell University (USA)

Nathalie Sinclair, Simon Fraser University (Canada)

DOI: 10.1007/978-3-319-70658-0

Full citation:

Space syntax

Dawes Michael J.; Ostwald Michael J.

1-12

Isovists

Ostwald Michael J. ; Dawes Michael J.

1-13

A hidden order

Mara Sama; Westwood Lee

1-38

Mathematical explanations and mathematical applications

Pantsar Markus

1-16

Baroque architecture

Duvernoy Sylvie

1-16

Mathematics and recurrent population outbreaks

Lindström Torsten

1-16

Damped dynamical systems for solving equations and optimization problems

Gulliksson Mårten; Ögren Magnus; Oleynik Anna; Zhang Ye

1-44

Projections of knots and links

Åström Alexander; Åström Christoffer

1-31

Geometric and aesthetic concepts based on pentagonal structures

Leopold Cornelie

1-26

Geometries of light and shadows, from Piero della Francesca to James Turrell

De Rosa Agostino

1-37

Temple of Solomon

Morrison Tessa

1-15

Korean traditional patterns

Shin Hyunyong; Sheen Shilla; Kwon Hyeyoun; Mun Taeseon

1-16

A hidden order

Westwood Lee; Mara Sama

1-22

Mathematical models can predict the spread of an invasive species

Alford John G.

1-26

Classical Greek and roman architecture

Duvernoy Sylvie

1-21

Nyaya methodology and Western mathematical logic

Schmidt Martin; Sriraman Bharath

1-23

Egyptian architecture and mathematics

Rossi Corinna

1-12

Renaissance architecture

Duvernoy Sylvie

1-16

Running in shackles

Manin Dmitri

1-14

Homeomorphisms between the circular disc and the square

Fong Chamberlain

1-26

Tond to tond

Castera Jean-Marc

1-39

Labyrinth

Morrison Tessa

1-15

Anamorphosis

De Rosa Agostino

1-47

Mathematics and oenology

Cadeddu Lucio; Cauli Alessandra; De Marchi Stefano

1-31

Classical Greek and roman architecture

Duvernoy Sylvie

1-18

Parametric design

Gu Ning; Yu Rongrong; Amini Behbahani Peiman

1-22

Fractal dimensions in architecture

Ostwald Michael J.

1-17

Shape grammars

Gu Ning; Amini Behbahani Peiman

1-21

Interdisciplinary mathematics and sciences in schematic ocean current maps in the seas around Korea

Park Kyung-Ae; Park Jae-Jin; Park Ji-Eun; Choi Byoung-Ju; Lee Sang-Ho; Byun Do-Seong; Lee Eun-Il; Kang Boon-Soon; Shin Hong-Ryeol; Lee Sang-Ryong

1-30

Utopian cities

Morrison Tessa

1-16

Mathematical design for knotted textiles

Nimkulrat Nithikul; Nurmi Tuomas

1-28

Art and science of rope

Åström Alexander; Åström Christoffer

1-34

Mathematics and origami

Budinski Natalija

1-30

Coevolution of mathematics, statistics, and genetics

Joo Yoo Yun

1-33

Probabilistic thinking from elementary grades to graduate school

Beam John

1-16

Fractal geometry in architecture

Vaughan Josephine; Ostwald Michael J.

1-16