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boniolo g role mathematics physical sciences 2005

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Textbook in PDF format What the role of mathematics in physical sciences is, is a relevant philosophical and historical question whose answer is necessary to fully understand the real status of physics, in particular of contemporary physics. Exactly the wish to have good and plausible answers has spurred physicists, mathematicians, historians of science, and philosophers of science from many countries to join together and friendly but rigorously discuss. From that meeting, which was held in the wonderful Isle of Losinj (Croatia) in 2003, this book had its origin. Actually, it does not simply contain the text of the lectures given. It is something different and something more. Some chapters are new and improved versions of what was presented. Some others have been added to enrich the variety of possible suggestions Preface The Role of Mathematics in Physical Sciences – Interdisciplinary and Philosophical Aspects PART 1: MATHEMATICS AND PHYSICS: REFLECTING ON THE HISTORICAL ROLE OF MATHEMATICS Oliver Heaviside’s “Dinner” Quantum Physics and Mathematical Debates Concerning the Problem of the Ontological Priority between Continuous Quantity and Discrete Quantity John von Neumann on Mathematical and Axiomatic Physics Classical Indian Mathematical Thought in the Context of the Theories of Matter and Mind PART 2: MATHEMATICS AND PHYSICS: REFLECTING ON THEIR INTERACTION The Role of Mathematics in Physical Sciences and Dirac’s Methodological Revolution Algorithmic Representation of Astrophysical Structures The Flexibility of Mathematics The Laws of Nature and the Effectiveness of Mathematics Some Mathematical Aspects of Modern Science and Their Relevant Physical Implications Theoretical Explanations in Mathematical Physics Mathematics, Physics and Music Theoretical Mathematics PART 3: FINAL REMARKS Mathematics and Physics Values and Meaning in the Quantum Universe

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boniolo g role mathematics physical sciences 2005

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