Includes bibliographical references and index.

Arithmetic and geometry -- Proportion -- Infinity -- Formalism -- Logic -- Intuitionism -- Symmetry -- Utopian visions after World War I -- The incompleteness of mathematics -- Computation -- Geometric abstraction after World War II -- Computers in mathematics and art -- Platonism in the postmodern era.

"This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration." -- Amazon.com.