Page:Passages from the Life of a Philosopher.djvu/509



3. An Essay towards the Calculus of Functions.—Phil. Trans. 1815.

4. An Essay towards the Calculus of Functions, Part 2.—''Phil. Trans.'' 1816. P. 179.

5. Demonstrations of some of Dr. Matthew Stewart's General Theorems, to which is added an Account of some New Properties of the Circle.—Roy. Inst. Jour. 1816. Vol. i. p. 6.

6. Observations on the Analogy which subsists between the Calculus of Functions and other branches of Analysis.— ''Phil. Trans.'' 1817. P. 179.

7. Solution of some Problems by means of the Calculus of Functions.—''Roy. Inst. Jour.'' 1817, P. 371.

8. Note respecting Elimination.—''Roy. Inst. Jour.'' 1817. P. 355.

9. An Account of Euler's Method of Solving a Problem relating to the Knight's Move at Chess.—''Roy. Inst. Jour.'' 1817. P. 72.

10. On some new Methods of Investigating the Sums of several Classes of Infinite Series.—''Phil. Trans.'' 1819. P. 245.

11. Demonstration of a Theorem relating to Prime Numbers.—Edin. Phil. Jour. 1819. P. 46.

12. An Examination of some Questions connected with Games of Chance.—''Trans. of Roy. Soc. of Edin.'' 1820. Vol. ix. p. 153.

13. Observations on the Notation employed in the Calculus of Functions.—Trans. of Cam. Phil. Soc. 1820. Vol. i. p. 63.

14. On the Application of Analysis, &c. to the Discovery of Local Theorems and Porisms.—''Trans. of Roy. Soc. of Edin.'' Vol. ix. p. 337. 1820.

17. Examples of the Solution of Functional Equations. Extracted from the preceding. 8vo. 1820.

18. Note respecting the Application of Machinery to the Calculation of Mathematical Tables.—Memoirs of the Astron. Soc. June, 1822. Vol. i. p. 309.

19. A Letter to Sir H. Davy, P.R.S., on the Application of Machinery to the purpose of calculating and printing Mathematical Tables. 4to. July, 1822.

20. On the Theoretical Principles of the Machinery for calculating Tables.—''Brewster's Edin. Jour. of Science.'' Vol. viii. p. 122. 1822.

21. Observations on the application of Machinery to the Computations of Mathematical Tables, Dec. 1822.—''Memoirs of Astron. Soc.'' 1824. Vol. i. p. 311.

22. On the Determination of the General Term of a new Class of Infinite Series.—''Trans. Cam. Phil. Soc.'' 1824. Vol. ii. p. 218.