esac 25/2/75 THE ROYAL SOCIETY THE ROYAL COMMISSION ON HISTORICAL MANUSCRIPTS Committee on Scientific and Technological Records CONTEMPORARY SCIENTIFIC ARCHIVES CENTRE Papers of THEODORE WILLIAM CHAUNDY (1889 — 1971) Listed by: Jeannine Alton Harriot Weiskittel Deposited in the Bodleian Library, University of Oxford 1975 T.W. Chaundy CSAC 25/2/75 Description of the collection le The papers, which cover the years 1910 — 1951, were received from Mrs. Chaundy. They consist almost entirely of lectures on mathematics delivered in the University of Oxford. with a view to publication (see items 25-32). Some have annotations and revisions, perhaps Chaundy kept the lectures in files with his name and address and usually a date; he classified them by a letter and subscript numeral. The alphabetical sequence has been retained, although it does not correspond with chronological order; work classified under one letter group may span several years, while incomplete sequences (e.g. "BY or 'N*) appear to indicate that some lectures are missing. contained loose notes, calculations or correspondence; these have been extracted and appear as separate items immediately following the relevant file. Some files Unless otherwise stated, all items are manuscript. Titles in inverted commas are those on the manuscripts. Advice on identification and technical terms was kindly given by Dr. Peter Collins, Fellow of St. Edmund Hall, Oxford. Summary of career b. 1889 Oxford 1906 — 09 Mathematical Scholar at Balliol, Oxford 1909 19140 Honours School of Mathematics, First Class Lecturer in Mathematics, Christ Church 1912 — 56 Student and tutor, Christ Church 1927 — AT _. University Lecturer in Mathematics 1947 — 56 University Reader in Mathematics 1956 Retirement; Emeritus Student, Christ Church A photocopy of an obituary of Chaundy which appeared in a Christ Church Report 1971 has been included with the collection. An obituary notice appeared in the Times on 16 April 1966. T.W. Chaundy CSAC 25/2/75 A 1 A2 B 1 B2 B3 B5 B 6 C1 C2 C3 C4 C5 Cc 6 C7 1. 2. 3. 4e 5e 6. Te 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. "Algebra ‘Algebra. Continued fractions’ ‘Analytical projective geometry. The one—fold cross ratio (1,1) correspondence! 26 September 1944 September 1944 May 1924 "Algebraic projective geometry. The straight line! June 1924 tAnalytical projective geometry. The conic’ ‘Invariants and covariants of conics' *Poncelet's poristic polygons’ *Theory of convergence. Convergent sequences’ "Theory of convergence (to be read concurrently with C 1). Infinite sets and their bounds? "Theory of convergence. Irrational number' May 1925 May 1925 September 1925 | December 1925 September 1927 January 1926 October 1927 . "Theory of convergence. Exponential & logarithmic functions! March 1926 October 1927 'The theory of convergence. Series of positive terms (Convergence tests)* October 1927 *Theory of convergence. Absolute convergence (including properties of series of positive terms )* November 1927 'Theory of convergence. The binomial expansion. Allied expansions' items 15 = 23) (this file also contained November 1927 'Theory of convergence. C 5. The binomial and kindred expansions’ February 1923. "Solid lecture. T 6. Invariants and covariants of conicoids' 'The algebraic expression as sums of squares of products themselves sums of squares’ n.d. 1911 "Products of Pfaffians' (2 drafts of lecture) and 2 sets of notes and calculations labelled 'pfaffians' ned. 'The conditioned positive quadratic form' *The measure of curvature! ned. ned. ‘add to Riemann's equation’ (miscellaneous notes) ned. Letter from 'J.L.B.' to Chaundy on mathematical points; letter from W.G.L. Sutton to "Hodgkinson? enclosing notes on' Transformation group of a linear diff. eq.', Picard, Ch. XVII. 4 June 1943 18 February n.d. 23. tApplication to double-—six' ned. 'Differential geometry of the plane. Contact and curvature’ (miscellaneous notes included) 28. D3 "Differential geometry. Singular points. Evolutes and involutes® 'Differential geometry. Some popular curves* (miscellaneous notes included) "Differential geometry. Envelopes. (Straight lines)* 'Differential geometry. Envelopes. (Curves in general)* April 1928 May 1928 May 1928 June 1929 June 1929 T.W. Chaundy CSAC 25/2/75 24. 256 26. 27. D1 D 1 D2 D4 D5 D 6 DT DI 30. 31. 32. 33. 34. 35-6 36. 376 38. 39 40. 41. 43. Miscellaneous sets of unlabelled notes and calculations, many on verso of 0.U. Gazette, lecture lists etc. ° "Elementary differential geometry of the plane. Intrinsic coordinates* 36 ned. n.d. "Differential geometry of the plane. The“elements” of a curve? April 1928 "Differential geometry. Curvilinear coordinates? June 1930 "Differential geometry of the plane curve in seven chapters! Typescript with ms. annotations of chapters with titles as above (items 26 - 32); each chapter bears the notation 'T.W.C. copied 1945 K.N.0O.! ©.1945? Duplicate set of typescripts (with no annotations) E 1 *Elliptic functions. (this file also contained items 36 — 39) Singly—periodic functions'* May 1921 "I. Doubly periodic functions* tII Weierstrass's p— function! ‘III Addition formlae' ‘IV Pseudo—elliptic functions! "Elliptic Functions. The definition of sn u' 'Jacobits doubly periodic functions. cn and dn transformations’ ‘Weierstrass's functions p(z)* September 1923 September 1923 September 1923 September 1923 July 1921 September 1923 July 1921 January 1922 February 1924 'Elliptic functions. The addition—formulae' February 1925 E 2 E 3 E4 E5 T.W. Chaundy osac 25/2/75 44. 456 46. 47. E 6 E7 F 1 4. ‘Elliptic functions. Integration’ (with set of calculations) February 1922 "Elliptic functions. The general elliptic functions'* March 1922 taddition-formulae' (found in item 45) ned. *Partial differential equations. Linear equations of the first order’ March 1932 48. F2 "Partial differential. Differential equations. Compatible systems (linear, first order)* (with misc. notes and calculations) April 1932 49. F 3 *Partial differential equations of the first order. Clairaut's equation!’ F4 'Partial differential equations of the first order. Method of duality and the equation x f(p,q) + y g (pp) + 2b (p,q) + k (p,q) = OF 516 F5 *Partial differential equations. First orders non—linear. Structure of the solution! (with note by Chaundy ‘before F 4t) March 1932 November 1935 February 1937 May 1932 November 1935 February 1937 May 1932 November 1935 52. F 6 'Partial differential equations of the first order. Singular solutions. Lagrango's equation' (with note ‘begin here p.68' and mscellaneous notes and calculations) ned. 53- F 7 'Partial differential equations of the first order. Compatible systems: complete systems’ March 1937 54. F 8 tPartial differential equations of the first order. Incomplete systems: Charpit's principle! March 1936, 1937 F 12 contained items 55 = 62 as follows: 556 56. 5T- 58. 5 9 6 6 0 . 6 1 . 62. *Poncelet's poristic polygons (second paper)! August 1924 '"Real representation of non-real points'* *Cycle—points' n.d. ned. tThe deformation of a spherical sound-wave by a linear wind' 11 December 1917 *A general theorem! notes on 'non=—metrical geometry* n.d. ned. draft of letter to *Pidduck'; letter from E.B. Elliott to Chaundy on his'intro— duction of the negative radius’ ned. 17 June 1910 ' various notes, drafts and calculations n.d. fe ° W e Chaundy csac 25/2/75 63. 64. 65. 66. 67. 68. 69. 70. Go a1 G2 G3 G4 H 1 "Spherical trigonometry' *Euclidean geometry. The fundamental trans— formation' "Euclidean geometry. Systems of circles* 'Euclidean geometry. Coaxal circles (continued). Poncelet's theorem. Coaxal spheres’ : "Properties of the triangle' "Elementary differential equations. Legendre's functions. The hyperbolic equation' (this file also contained items 69 — 73) Miscellaneous sets of notes entitled as follows: "Solutions that depend on integral equations’ *Equations linear’ *Questions to be looked into! "Various special forms. Assorted differential equations’ 'Change of variables of integration’ Letter from 'J.L.H.* to Chaundyre mathematical problem. containing draft of 'A problem in elimination! in J:L.H.'s hand with set of untitled notes imvelope addressed to Professor Dixon 71. — 73. Th. 715s H 2 H 3 Miscellaneous untitled sets of notes and cal- culations — mostly equations solutions 'Physical origin of Riemann's equation’ "Partial differential equations. Elliptic equations’ 76. H 4 "Partial differential equations of higher orders. Euler's equation’ 56 May 1924 April 1922 April 1922 April 1922 July 1922 May 1951 n.d. 4 May 1926 n.d. ned. April 1951 June 1936 TT H 5 "Higher partial differential equations. Some extensions of Euler's equation! February 1939 78. H 5 *Partial differential equations of higher order. Linear equations with constant coefficients’ (with annotations in unidentified hand) 796 H 7 'Partial differential equations. Parabolic equations’ 80. r4 ‘Algebraic forms. Elementary theory of the cubic and the quantic' 81. I2 ‘Algebraic forms. The notion of invariants and covariants. Dimensional relations’ 82. I 3 ‘Algebraic forms. Cogredience and contragredience. Standard covariants' May 1938 May 1951 July 1925 May 1921 May 1921 July 1924 T.W. Chaundy CSAC 25/2/75 6. 83. I4 ‘Algebraic forms. Canonical forms. Catalecticant. May 1921 Canonizant. Mu=° + ° "Algebraic forms. Binary quantics'* ‘Algebraic forms. Complete systems of covariants ‘and of seminvariants' May 1921 August 1921 ‘Algebraic forms. The cubic and quantic* June 1922 "Algebraic forms. Symbolism and founts'* March 1925 >) I 6 17 I 8 K 1 *tIntegral calculus. Introduction! tIntegral calculus. Rational functions* "Integral calculus. Rational integrals of rational function' August 1929 August 1929 October 1929 ‘Integral calculus. functions'* Irrational algebraic November 1930 "Integral calculus. The Riemann Integral* October 1930 "Integral calculus. Recurrence formulae’ November 1930 "Particle dynamics. Resisted motion in one dimension! "Particle dynamics. Resisted motion in two dimensions' October 1927 November 1927 *Particle dynamics. Central forces. Strings over pulleys' November 1927 84. 85. 91. 92. 93- 94. 95 96. 97 98. 99. K 2 K 3 K4 K5 K 6 L 1 L2 L 3 M1 M2 M3 ‘Forces in two dimensions’ 'Forces in three dimensions’ ‘Dynamical notions in statics. ("Virtual",Work, Stability)" - September 1920 September 1920 September 1920 December 1924 100. N 3 *Determinants. Their definition and reduction. Solution of linear equations! 101 e N 4 ‘Determinants. Multiplication of determinants. Reciprocal determinants. Symmetrical determinants December 1924 102. N5 *Determinants. Determinants of special form. Skew — symmetrical determinants' 1925, 1938 103. ‘Ordinary differential equations. equations. Adjoint operators’ Equations with an "absolute" term. Linear September 1938 T.W. Chaundy CSAC 25/2/75 sit Te 104. 02. tOrdinary differential equations. The Green's n.d. functions* 105. 03 #£=‘Ordinary differential equations. power—series'’ Solution in June 1939 106. O04 ‘Ordinary differential equations. definite integrals’ Solutions by June 1939 107. 05 ‘Differential equations. equations with constant coefficients’ Simultaneous linear 108. 06 ‘Ordinary differential equations. Adjoints' (with notation in Chaundy's hand 'But conflate with the more recent 0 1, 0 2°) June 1932 June 1938 109. O7 £4'Ordinary differential equations. ferential equations*® Total dif— n.d. 110. 08 '0rdinary differential equations. Singular solutions! February 1941 O04 File labelled "Geometrical optics' with name and address: 'J.G. Freeman, Christ Church, Oxford' containing items 111 — 118 in Chaundy's hand *Algebraic geometry':draft of lecture Riemann (3)t: set of calculations n.d. n.d. "Condition that a certain set of equations (quadric and linear) coexist. Analogy of Jacobians' 'The general equation of end order’ Untitled draft (first 2 pages missing) re 'Chauchy's existence theorem! 111. 112, 113. 114. 115. 116, — 118. Miscellaneous sets of equation solutions (on verso notes. of examination scripts), bibliographical 119. P ji 'Prosective geometry. Cross-ratio. Projection. The complete quadrilaterai’ 120. 121. P 2 P 3 122. PA 'Projective geometry. The Conic!' 'Projective geometry. Reciprocation. Further focal properties! ‘'Projective geometry. Newton's theorem. Asymptotes. (annotated at a later date) Quadratic ranges and pencils' August 1910 August 1910 August 1910 August 1910 123. P 5 'Projective geometry. Properties of two triangles. Pencils and ranges of conics’ August 1910 T.W. Chaundy CSAC 25/2/75 8. 124. P 6 *Projective geometry. Plane homographics'* Systems in perspective. August 1910 125. Q 1 "Algebraic eliminants. The eliminant of two polynomials! September 1940 126. Q2 ‘Algebraic eliminants. The H.C.F. of f(n),g(n)' Revised November 1936 Q3 Q4 R 1 od $1 ‘Algebraic eliminants. Sturm's theorem’ February 1928 ‘Algebraic eliminants. Many common roots? (with notation in Chaundy's hand trewrite') March 1928 "Rigid dynamics. The motion of a rigid body* December 1922 *'The rigid body. Dynamics of the motion’ January 1923 ‘Solid geometry. sphere! The line and plane. The October 1925 Ss 2 *Solid geometry. The cone* *Solid geometry. The general quadric. Projective theory (pole and polar)' October 1924 November 1924 127. 128. 129. 130. 131. 132. 133. 134. 135. Ss 3 5 4 T 1 ‘Solid geometry. Reduction of the general quadric’ November 1924 'Trigonometric series and integrals. integrals and the elementary Founier series Introductory (September 1936) September 1947 136. Be 'Trigonometric series and integrals. grated series and associated integrals’ The inte— September 1936 137. 138. T 3 T4 'Trigonometric series and integrals. Integrated series of the second kind! September 1936 August 1948 'Trigonometric series and integrals. Further integrals October 1936 November 1948 139. T5 'Trigonometric series and integrals' also contained items 140 — 142 (this file October 1936 140. 141. 142. 143. Chaundy'ts notes(on verso of requests for appli- cation forms for Mathematical Scholarship, 1948) on various mathematical problems *Appendix on Abel's artifice! various miscellaneous notes and calculations T 6 'Trigonometric series and integrals.' (file labelled on cover 'miscellaneous' and includes various notes in addition to T 6) November 1936 144. ‘Attractions. Fundamental theory' November 1915 TW. CSAC Chaundy 25/2/75 1456 V2 146. 147. 148. 149. ¥3 v4 v5 v6 'Potential of ellipsoid at internal point. Addendum to be read in the appropriate place. Alternative method' *Calculus of variations’ "Calculus of variations’ "Vector analysis in space "Vector analysis. Kinematics and statics of a rigid body. (Read with R 1)* 9. ned. January 1935 September 1935 February 1935 July 1936 150. V7 "Vector analysis. (Read with R 2)? The dynamics of a rigid body. July 1936 151. 152. 153. 154. 155% 156. Z1 Z2 Z 3 "Functions of a complex variable. Conformal representation' February 1931 'The complex variable. The analytic function’ December 1931 'The complex variable. The integration of many— valued functions’ May 1921 Miscellaneous file containing ms. draft of "Chapter IX. Parameters' and set of miscellaneous notes (neither in Chaundy's hand although both carry his annotations) . Ms. draft of "II. The Straight Line’ in Chaundy's hand Notes in unidentified hand with annotations and additional notes by Chaundy ned ned. ned.

# CHAUNDY, Theodore William v3

Published: 16 January, 2024 Author: admin