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  • © 2018

A Conceptual History of Space and Symmetry

From Plato to the Superworld

  • Offers a particle physicist's philosophical overview on the subject of symmetry and the historical development of ideas
  • Contains historical discussions adapted to modern views and conceptions
  • Intertwines storytelling and philosophic argumentation with some essential technical material

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xvi
  2. The Episteme

    • Pietro Giuseppe Fré
    Pages 1-7
  3. Symmetry and Mathematics

    • Pietro Giuseppe Fré
    Pages 9-31
  4. How Group Theory Came into Being

    • Pietro Giuseppe Fré
    Pages 33-59
  5. From Crystals to Plato

    • Pietro Giuseppe Fré
    Pages 61-88
  6. The Long Tale of Lie Groups

    • Pietro Giuseppe Fré
    Pages 89-127
  7. Hermann Weyl and Representation Theory

    • Pietro Giuseppe Fré
    Pages 129-155
  8. A Short History of Differential Geometry

    • Pietro Giuseppe Fré
    Pages 157-206
  9. Geometry Becomes Complex

    • Pietro Giuseppe Fré
    Pages 207-239
  10. Geometry Becomes Special

    • Pietro Giuseppe Fré
    Pages 241-267
  11. Black Holes: The Physics of Geometry

    • Pietro Giuseppe Fré
    Pages 269-287
  12. Modern Manifolds from Ancient Polyhedra

    • Pietro Giuseppe Fré
    Pages 289-306
  13. Back Matter

    Pages 307-319

About this book

This book presents the author’s personal historical perspective and conceptual analysis on symmetry and geometry. The author enlightens with modern views the historical process which led to the contemporary vision of space and symmetry that are used in theoretical physics and in particular in such abstract and advanced descriptions of the physical world as those provided by supergravity. The book is written intertwining storytelling and philosophical argumentation with some essential technical material.

The author argues that symmetry and geometry are inextricably entangled and their current meaning is the result of a long process of abstraction which was determined through history and can be understood within the analytic system of thought of western civilization that started with the Ancient Greeks. The evolution of geometry and symmetry theory in the last forty years has been deeply and constructively influenced by supersymmetry/supergravity and the allied constructions of strings and branes. Further advances in theoretical physics cannot be based simply on the Galilean method of interrogating nature and then formulating a testable theory to explain the observed phenomena. One ought to interrogate human thought, meaning frontier-line mathematics concerned with geometry and symmetry in order to find there the threads of so far unobserved correspondences, reinterpretations and renewed conceptions.

Authors and Affiliations

  • University of Torino, Turin, Italy

    Pietro Giuseppe Fré

About the author

Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He recently served as Scientific Counsellor of the Italian Embassy in Moscow. He has taught General Relativity for 15 years. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously published five science monographs. He is also the author of a popular science book on cosmology (“Il fascino oscuro dell’inflazione”, Springer 2009), and two novels, in Italian.

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
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