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  • Conference proceedings
  • © 2005

The Role of Mathematics in Physical Sciences

Interdisciplinary and Philosophical Aspects

  • Contains both historical and philosophical analyses of the relationship between mathematics and physics

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Table of contents (15 papers)

  1. Front Matter

    Pages i-3
  2. Mathematics and Physics: Reflecting on the Historical Role of Mathematics

    1. Oliver Heaviside’s “Dinner”

      • Giulio Giorello, Corrado Sinigaglia
      Pages 11-32
  3. Mathematics and Physics: Reflecting on Their Interaction

    1. The Flexibility of Mathematics

      • Dennis Dieks
      Pages 115-129
    2. Theoretical Explanations in Mathematical Physics

      • Andrés Rivadulla
      Pages 161-178
    3. Mathematics, Physics and Music

      • Zvonimir Šikić
      Pages 179-196
    4. Theoretical Mathematics

      • Michael Stöltzner
      Pages 197-222
  4. Final Remarks

    1. Mathematics and Physics

      • Vladimir I. Arnold
      Pages 225-233
    2. Values and Meaning in the Quantum Universe

      • Nikola Zovko
      Pages 235-244

About this book

Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics?

These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics.

The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.

Editors and Affiliations

  • University of Padova, Italy

    Giovanni Boniolo

  • The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

    Paolo Budinich

  • University of Rijeka, Croatia

    Majda Trobok

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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