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  • © 2018

Great Circles

The Transits of Mathematics and Poetry

  • Studies the intersections of mathematics and poetry over centuries
  • Contains beautiful poems and photographs
  • Explores the history of geometry, the infinitesimal calculus, and set theory

Part of the book series: Mathematics, Culture, and the Arts (MACUAR)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xii
  2. A Life in Mathematics and Poetry

    1. Front Matter

      Pages 1-1
    2. The House of Childhood

      • Emily Rolfe Grosholz
      Pages 3-18
    3. Music and Hyperspace

      • Emily Rolfe Grosholz
      Pages 19-36
    4. Great Books

      • Emily Rolfe Grosholz
      Pages 37-59
    5. Home, Cambridge, Paris: A Family

      • Emily Rolfe Grosholz
      Pages 61-82
  3. The Homestead

    1. Front Matter

      Pages 83-83
    2. Four Master Tropes, from Euclid to Leibniz, with Burke

      • Emily Rolfe Grosholz
      Pages 97-111
    3. Periodicity as Symmetry in Time: Housman

      • Emily Rolfe Grosholz
      Pages 113-125
  4. Shipping Out

    1. Front Matter

      Pages 127-127
    2. Flow, Rest, Inertial Motion: Wilner, Di Piero, Bonnefoy

      • Emily Rolfe Grosholz
      Pages 141-162
  5. The Sky’s the Limit!

    1. Front Matter

      Pages 179-179
    2. Compactification: Randall, Fainlight, Sedakova

      • Emily Rolfe Grosholz
      Pages 181-204
    3. Beyond Deduction: From Descartes to Gödel

      • Emily Rolfe Grosholz
      Pages 205-230
    4. Literary Cosmology: Plato, Tobin, Major, Turner

      • Emily Rolfe Grosholz
      Pages 231-253
    5. Coda

      • Emily Rolfe Grosholz
      Pages 255-260
  6. Back Matter

    Pages 261-274

About this book

This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge.

The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology.



Reviews

“The author is mostly writing for a broad audience, so much of the mathematics is presented so as to be accessible to a not necessarily mathematical audience. … Great Circles provides an interesting example of the human side of mathematics.” (Jason M. Graham, Mathematical Reviews, August, 2019)

Authors and Affiliations

  • Department of Philosophy, The Pennsylvania State University, University Park, USA

    Emily Rolfe Grosholz

About the author

Emily Grosholz is Edwin Erle Sparks Professor of Philosophy at the Pennsylvania State University. She earned her PhD from Yale University and her BA from the University of Chicago. Her most recent philosophy book, Starry Reckoning: Reference and Analysis in Mathematics and Cosmology, was awarded the 2017 Fernando Gil International Prize for Philosophy of Science. She has published eight books of poetry and ten authored or edited books of philosophy, and has written many literary reviews and essays.

Bibliographic Information

  • Book Title: Great Circles

  • Book Subtitle: The Transits of Mathematics and Poetry

  • Authors: Emily Rolfe Grosholz

  • Series Title: Mathematics, Culture, and the Arts

  • DOI: https://doi.org/10.1007/978-3-319-98231-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-98230-4Published: 23 November 2018

  • eBook ISBN: 978-3-319-98231-1Published: 13 November 2018

  • Series ISSN: 2520-8578

  • Series E-ISSN: 2520-8586

  • Edition Number: 1

  • Number of Pages: XII, 274

  • Number of Illustrations: 11 b/w illustrations, 31 illustrations in colour

  • Topics: Mathematics in the Humanities and Social Sciences

Buy it now

Buying options

eBook USD 19.99 USD 39.99
50% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 29.99 USD 54.99
45% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access