Weatherburn, C. E. 1921 Elementary vector analysis (Bell, London).
Weatherburn, C. E. 1924 Advanced vector analysis (Bell, London).
Weatherburn, C. E. 1927 Differntial geometry. Vol. 1 (C. U. P.).
Weatherburn, C. E. 1929 Differntial geometry. Vol. 2 (C. U. P.).
Weatherburn, C. E. 1938 Introduction to Riemannian Geometry and the Tensor Calculus (C. U. P.).
Weatherburn, C. E. 1946 First course in Mathematical Statistics (C. U. P.).
Weatherburn, C. E. 1914 ‘Boundary Problems for the Generalised Potential corresponding to the Equation ∇^{2}U - k^{2}U = 0’, Quart. J. Pure Appl. Math. 46, 66–82.
Weatherburn, C. E. 1914 ‘he Mixed Boundary Problem for the Generalised Potential corresponding to the Equation V^{2}U - k^{2}U = 0’, Quart. J. Pure Appl. Math. 83–94.
Weatherburn, C. E. 1914 ‘Singular Parameter Values in the Boundary Problems of the Potential Theory’, Proc. Roy. Soc. Victoria 27 (New Series), 164–178.
Weatherburn, C. E. 1915 ‘Green's Functions for the equation V^{2}U – k^{2}U = 0, and the Integration of some related equations’, Quart. J. Pure AppI. Math. 46, 198–215.
Weatherburn, C. E. 1915 ‘Vector Integral Equations of the First Kind’, Quart. J. Pure AppI. Math. 46, 339–355.
Weatherburn, C. E. 1915 ‘Note on my paper “Green's Functions for the equation V^{2}U - k^{2}U = 0, etc.”’, Quart. J. Pure AppI. Math. 46, 384.
Weatherburn, C. E. 1915 ‘Problems in Electrostatics and the Steady Flow of Electricity under the Exponential Potential’, Philos. Mag. (Ser. 6) 30, 568–581.
Weatherburn, C. E. 1916 ‘The application of Integral equations to Mathematical Physics’, D. Sc. Thesis, Sydney University.
Weatherburn, C. E. 1916 ‘On certain Functions analogous to Harmonic Functions, and Green's Functions of any order for the equation V^{2}U - k^{2}U = 0’, Quart. J. Pure Appi. Math. 47, 73–93.
Weatherburn, C. E. 1916 ‘Vector Integral Equations and Gibb's Dyadics’, Trans. Camb. Phil. Soc. 22 133–158.
Weatherburn, C. E. 1916 ‘On Two Fundamental Problems in the Theory of Elasticity’, Philos. Mag. (Set. 6), 32, 15–38.
Weatherburn, C. E. 1916 ‘On the Equations of Equilibrium for an Elastic Isotropic Body, with or without Heredity’, Messenger of Mathematics 46, 89–96.
Weatherburn, C. E. 1917 ‘A Plea for more general use of Vector Analysis in Mathematical Physics’, Mathematical Gazette 9, 2–5.
Weatherburn, C. E. 1917 ‘On the Hydrodynamics of Relativity’, Proc. Camb. Phil. Soc. 19, 72–85.
Weatherburn, C. E. 1917 ‘Some Theorems in Four-Dimensional Analysis’, Quart. J. Pure Appl. Math. 48, 39–57.
Weatherburn, C. E. 1920 ‘Four-vector algebra and Analysis I, II’, Messenger of Mathematics 49, 155–176.
Weatherburn, C. E. 1920 ‘The spectrum of learning’, The Secondary Teacher, 11 1920.
Weatherburn, C. E. 1920 ‘Vector Analysis in a University course’, Math. Gaz. 10, 170–172.
Weatherburn, C. E. 1921 ‘Vector Algebra in General Relativity’, Tôhoku Math. J. Ser. 1, 19, 89–104.
Weatherburn, C. E. 1923 ‘Green's Dyadics in the Theory of Elasticity’, Messenger of Mathematics 52, 136–156.
Weatherburn, C. E. 1925 ‘On differential invariants in the Geometry of surfaces with some applications to Mathematical Physics’, Quart. J. Pure Appl. Math. 50, 230–269.
Weatherburn, C. E. 1925 ‘On small deformations of surfaces and thin elastic shells’, Quart. J. Pure Appl. Math. 50, 272–296.
Weatherburn, C. E. 1926 ‘Some new theorems in Geometry of a surface’, Math. Gaz. 13, 1–6.
Weatherburn, C. E. 1926 ‘On triple systems of surfaces and non-orthogonal curvilinear coordinates’, Proc. Roy. Soc. Edinburgh 46, 194–205.
Weatherburn, C. E. 1927 ‘On families of curves and surfaces’, Quart. J. Pure Appl. Math. 50, 350–361.
Weatherburn, C. E. 1927 ‘On congruences of curves’, Tôhoku Math. J. (Ser. 1) 27, 114–125.
Weatherburn, C. E. 1927 ‘On isometric systems of curves and surfaces’, Amer. J. Math. 49, 527–534.
Weatherburn, C. E. 1927 ‘On small deformations of curves’, Bull. Amer. Math. Soc. 33, 58–62.
Weatherburn, C. E. 1927 ‘Some properties of a family of curves on a surface’, Proc. Edinburgh Math. Soc. 1, 160–165.
Weatherburn, C. E. 1927 ‘On Lamé families of surfaces’, Ann. of Math. (Ser. 2) 28, 301–308.
Weatherburn, C. E. 1928 ‘On Levi-Cevita's Theory of Parallelism’, Bull. Amer. Math. Soc. 34, 588–590.
Weatherburn, C. E. 1928 ‘On families of surfaces’, Math. Ann. 99, 473–492.
Weatherburn, C. E. 1929 ‘On curvilinear congruences’, Trans. Amer. Math. Soc. 31, 117–132.
Weatherburn, C. E. 1929 ‘On Weingarten surfaces’, Math. Z. 29, 292–299.
Weatherburn, C. E. 1929 ‘On oblique trajectories of a family of curves on a surface’, J. Reine Angew. Math. 160, 61–66.
Weatherburn, C. E. 1929 ‘On families of curves on a surface’, Tôhoku Math. J. (Ser. 1) 29, 301–306.
Weatherburn, C. E. 1930 ‘On lines of equidistance of a family of surfaces’, J. Math. Pure Appl. (Ser. 9) 9, 383–390.
Weatherburn, C. E. 1933 ‘The development of Multidimensional differential Geometry’, ANZAAS, Report of the 21st meeting of ANZAAS (08 1932), 12–28.
Weatherburn, C. E. 1933 ‘Some theorems in Riemannian geometry’, Tôhoku Math. J. (Ser. 1) 38, 422–430.
Weatherburn, C. E. 1934 ‘On certain quadric hypersurfaces in Riemannian space’, Proc. Edinburgh Math. Soc. 4, 85–91.
Weatherburn, C. E. 1937 ‘On motion of an extensible membrane in a given curved surface’, Philos. Mag. (Ser.7) 23, 573–580.
Weatherburn, C. E. 1937 ‘On equations of Gauss and Codazzi for a surface’, Tôhoku Math. J. (Ser. 1) 43, 30–32.
Weatherburn, C. E. 1937 ‘On certain useful vectors in differential geometry’, Compositio Math. 4, 342–345.
Weatherburn, C. E. 1939 ‘On transverse vibrations of curved membranes’, Philos. Mag. (Ser. 7) 28, 632–634.