2005

The Role of Mathematics in Physical Sciences

Interdisciplinary and Philosophical Aspects

Editors:

ISBN: 978-1-4020-3106-9 (Print) 978-1-4020-3107-6 (Online)

Table of contents (15 chapters)

  1. No Access

    Book Chapter

    Pages 5-8

    The Role of Mathematics in Physical Sciences — Interdisciplinary and Philosophical Aspects

  2. Mathematics and Physics: Reflecting on the Historical Role of Mathematics

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      Book Chapter

      Pages 11-32

      Oliver Heaviside’s “Dinner”

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      Book Chapter

      Pages 33-42

      Quantum Physics and Mathematical Debates Concerning the Problem of the Ontological Priority between Continuous Quantity and Discrete Quantity

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      Book Chapter

      Pages 43-54

      John von Neumann on Mathematical and Axiomatic Physics

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      Book Chapter

      Pages 55-72

      Classical Indian Mathematical Thought in the Context of the Theories of Matter and Mind

  3. Mathematics and Physics: Reflecting on Their Interaction

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      Book Chapter

      Pages 75-96

      The Role of Mathematics in Physical Sciences and Dirac’s Methodological Revolution

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      Book Chapter

      Pages 97-113

      Algorithmic Representation of Astrophysical Structures

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      Book Chapter

      Pages 115-129

      The Flexibility of Mathematics

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      Book Chapter

      Pages 131-144

      The Laws of Nature and the Effectiveness of Mathematics

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      Book Chapter

      Pages 145-160

      Some Mathematical Aspects of Modern Science and Their Relevant Physical Implications

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      Book Chapter

      Pages 161-178

      Theoretical Explanations in Mathematical Physics

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      Book Chapter

      Pages 179-196

      Mathematics, Physics and Music

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      Book Chapter

      Pages 197-222

      Theoretical Mathematics

  4. Final Remarks

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      Book Chapter

      Pages 225-233

      Mathematics and Physics

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      Book Chapter

      Pages 235-244

      Values and Meaning in the Quantum Universe