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Mathematics - History of Mathematical Sciences | David Hilbert's Lectures on the Foundations of Physics 1898-1914

David Hilbert's Lectures on the Foundations of Physics 1898-1914

Classical, Relativistic and Statistical Mechanics

Majer, Ulrich, Sauer, Tilman (Eds.)

2016, 640 p.

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  • About this book

  • -original material for historians and philosophers of Physics
  • -updated comments on original material
  • -includes Hilbert's paradigm of logical analysis and conceptual clarity
The first part of volume 4 documents Hilbert’s efforts in the period 1898-1910 to base all known physics (including thermodynamics, hydrodynamics and electrodynamics) on classical mechanics. This period closes with a lecture course ‘Mechanik der Kontinua’ (1911), in which Hilbert considers the consequences of the new principle of special relativity for our understanding of physics. The second part starts with the lecture course ‘Kinetische Gastheorie’ (1911/12), which introduces a new approach to problems of statistical physics. The lecture course ‘Molekulartheorie der Materie’ (1913) deals with a topic that was of great importance to Hilbert, returning to it repeatedly. The last lecture course contained in this volume, ‘Statistische Mechanik’ (1922) presents a very perceptive comparison of the different approaches of Maxwell, Boltzmann, Gibbs etc. to the foundational problems of statistical physics. It is a paradigm of logical analysis and conceptual clarity.

Content Level » Research

Keywords » 01A55, 01A60, 01A75, 70-03, 70A05, 82-03, 83-03, 83A05 - Hilbert - history and philosophy of physics - mechanics - relativity theory - statistical physics

Related subjects » Classical Continuum Physics - History of Mathematical Sciences - Theoretical, Mathematical & Computational Physics

Table of contents 


Introduction.- Part A: Classical Mechanics.- Overview of the texts on mechanics.- Chapter 1: Hilbert's Lectures on Mechanics from 1898/99.- Chapter 2: Hilbert's Lectures on Stability from 1903.- Chapter 3: Hilbert's Lectures on Continuum Mechanics from 1905/06.- Chapter 4: Hilbert's Lectures on Mechanics in a New Perspective, 1911 and 1924.- Part B: Kinetic Theories of Matter.- Overview of the texts.- Hilbert's Lectures on Kinetic Theory of Gases from 1911/12.- Chapter 6: Hilbert's Lectures on Molecular Theory of Matter from 1912/13.-Chapter 7: Hilbert's Lectures on Statictical Mechanics from 1922

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