LL.D." Free online copy. (Accessed 7 Dec 2012.) Introduced the modern day notation of vector calculus, based on Gibbs' system. Minkowski relativity papers (1907–15): See special relativity section. Silberstein, Ludwik (1914) See special relativity section. Reprinted in: Contains a proof of Noether's Theorem (expressed as two theorems), showing that any symmetry of the Lagrangian corresponds to a conserved quantity. This result had a profound influence on 20th century theoretical physics. Eddington, Arthur (1923) See general relativity section. Ising's 1924 thesis proving the non-existence of phase transitions in the 1-dimensional Ising model. , 2 vol. 1st German edition 1924; current English edition April 1989, Print ; online . 1st German edition 1937; current English edition: April 1989,. Print , online . Influential textbooks by two leading mathematicians of the early 20th century. Weyl, H.K.H. (1929). Elektron und Gravitation. I. (in German) Z. Phys. (56), 330. The establishment of gauge theory as an important mathematical tool in field theories, an idea first advanced (unsuccessfully) in 1918 by the same author. von Neumann, John (1932). See quantum mechanics section. Rudolf Peierls' 1936 contour argument proving the existence of phase transitions in higher dimensional Ising models. Introduced Dirac notation as a standard notation for describing denote abstract vector spaces and linear functionals in quantum mechanics and mathematics, though the notation has precursors in Grassmann nearly 100 years previously. C. N. Yang, R. Mills (1954) See quantum field theory section. Thorough introduction to the mathematical methods of classical mechanics, electromagnetic theory, quantum theory and general relativity. Possibly more accessible than Morse and Feshbach. Proved the existence of phase transitions of continuous symmetry models in at least 3 dimensions. Pre-Modern (Classical) mathematical physics Galilei, Galileo (1638) See classical mechanics section. Newton, Isaac (1687) See classical mechanics section. Lagrangia, Giuseppe Ludovico (1788) See classical mechanics section. Fourier, J-B.J (1807). Mémoire sur la propagation de la chaleur dans les corps solides [Memoir on the propagation of heat in solid bodies] (in French). Considered a founding text in the field of Fourier analysis (and by extension harmonic analysis), and a breakthrough for the solution of the classic (partial) differential equations of mathematical physics. Hamilton, William Rowan (1828–37) See optics section. English translation by Freeman (1878), with editorial 'corrections'. Revised French edition, Darboux (ed.) (1888), with many editorial corrections. Contains a discussion of Fourier(1807) and annunciation of Fourier's law. Green, George (1828). See electromagnetism section. Hamilton, William Rowan (1834–1835) See