A course of two lectures per week throughout the year.

SYLLaВus. The object of the course is to consider questions in the philosophy of the mind. It is intended not to overlap with the work of the Department of Psychology.

Booxs. There is no prescribed text-book. Students should read:

Ryle, *G.—The Concept of Mind. * (Hutchinson.)
Russell, *&—The Analysis of -Mind. * (Allen & Unwin.)

Price, H. *H.—Thinking and Experience. *(Hutchinson.) .

Wittgenstein, *L: Philosophical Investigations. *(Part II.) (Blackwell.)
Anscombe, G. E. *M. Intention. *(Blackwell.)

The following books should be referred to:

Kohler, *W.—Gestalt Psychology. *(Bell.)

James, *W.—The Principles of Psychology. *(Macmillan.)
McTaggart, J. *E. Philosophical Studies, *Chap. 3. (Arnold.)

Watson, **J. ***B.—Psychology from the Standpoint of a Behaviourist. *(Lippincott.)
Stout, G. *F. Analytic. Psychology. *(Macmillan.)

**D. SCHOOL 0F MATHEMATICS **

1. The course for B.A. with Honours in Mathematics covers four years, during which the following subjects must be taken :

Pure Mathematics Parts I, II, III, IV.

Applied Mathematics Parts I, II, III, IV.

Also, candidates must take additional subjects (one of which must be Physics Part I), so as to make up a total of eleven in all, and must qualify in Science

• French or Science German or Science Russian as prescribed for the B.Sc. degree, and must present a thesis on some approved topic in the final year. The full course

will normally be as follows

First Years Pure Mathematics Part **I **
Applied Mathematics Part I
Physics Part I

Chemistry Part IA or Philosophy Part I Science Language

Second Year: Pure Mathematics Part **II **
Applied Mathematics Part II

Logic or Theory of Statistics Part I Third Year: Pure Mathematics Part III

Applied Mathematics Part III Fourth Year: • Thesis

Pure Mathematics Part IV .

Applied Mathematics Part IV

The details of the Mathematics subjects of this course are given below.

Students in Combined Honour Courses which include Mathematics will take
Pure Mathematics Parts I, II, III, IV and the following provisions, so far as they
**are **relevant, apply to them.

2. Students proposing to take the Second Year of the Honour School of
Mathematics should normally have obtained Honours in Pure Mathematics Part I
and Applied Mathematics Part I. In exceptional circumstances students may qualify
from a Pass course; they will be advised what reading to undertake in the
following long vacation so as to make up the additional ground that was covered
in the Honours lectures. It is most desirable that candidates should have **a **fair
knowledge of Physics and some acquaintance with French and German.

Admission to the Second arid higher years of the Honour School must be approved by the Faculty ; candidates should make application as soon as possible after the examination results of the First Year are published.

3. In the Fourth Year, candidates will carry out, under direction, **a **study of a
special topic, involving the reading and collation of the relevant mathematical
literature, and will present a thesis embodying this work. The topic will be chosen,
**in **consultation with the staff of the Department, at the beginning of the First Tern,
and the thesis will be presented at the beginning of the Third Term. The thesis
will be taken into account in determining the Class List for the Final Examination.

4. The examinations in Pure Mathematics Part III and Applied Mathematics Part III (two papers in each), held at the end of the Third Year, will count as the first section of the Final Examination. The second section of this examination, held at the end of the Fourth Year, will cover the work of that year (two papers in

178

each of Pure and Applied Mathematics Part IV), and will include also two general papers. The results in both sections will be taken into account in determining the Class List.

5. At the Final Examination the Wyselaskie Scholarship of f173 in lathe- matics is awarded. This award may be held in conjunction with a University Research Grant. Normally the Wyselaskie Scholar will be required to pursue study or research in Mathematics or some other subject. See Calendar, Chap. IV, Reg. VII.

6. For students majoring in Mathematics who wish to pursue Physics or Chemistry to Part II level the B.Sc. degree is available under the provisions of Section 9 of Chap. III, Reg. XVI. Such students may further proceed to the degree of B.Sc. with Honours on completing the Fourth Year of the Honours School of Mathematics.

7. The Professor Wilson Prize and the Professor Nanson Prize are awarded in alternate years for the best original memoir in Pure or Applied Mathematics.

Candidates must be graduates of not more than seven years' standing from Matriculation. See schedule to Chap. IV, Reg. LXXII in the University Calendar.

**VACATION **READING

The following books, relevant to the study of Mathematics, are suitable for reading in

*the *

Long Vacations. In addition, reference to books bearing specifically
on the work of each Year is given in the Details of individual subjects, and addi-
tional references may be made in Lectures.
*Historical *

Turnbull, H.

*W.—The Great Mathematicia*и *s. *

(Methuen.)
Sullivan, J. W.

*N.—The History of Mathematics *

in *Europe.*(O.U.P.) Hobson,

*E. W. John Napier and the Invention of Logarithms. *

(C.U.P.)
Hobson, E. *W.—Squaring the Circle. *

(C.U.P.) 0.P.
Ball, W. W.

### R. —A *Short History of Mathematics. *

(Macmillan.)
Smith, D. *E.—Source Book of Mathematics. *

(McGraw-Hill.)
Bell, E. Т*.—Men of Mathematics. *

(Pelican.)
Hooper,

*A.—Makers of Mathematics. *

(Faber.)
van der Woerden—Science *Awakening. *

(Groningen.)
**Popular **

Whitehead, A.

*N.—Introduction to Mathematics. *

(H.U.L., Butterworth.)
Perry, *J.—Spinning Tops. *

(S.P.C.K.)
Ball, W. W.

*R. Mathematical Recreations and Problems. *

(Macmillan.)
Darwin, G. H.—The *Tides. *

(Murray.)
Rice,

*J.—Relativity. *

(Benn.)
Titchmarsh, E.

*C.—Mathematics for the General Reader. *

(Hutchinson.)
Read, A. Н*. Signpost to Mathematics. *

(Thrift Books.)
Northrop, E.

*P.—Riddles in Mathematics. *

(Hodder and Stoughton.)
*Philosophy of Mathematics and Science *

Courant, R.,

*and *

Robbins, H. *E.—What is Mathematics*г

(0.U.P.)
Mach, *E.—The Science of Mechanics. *

(Open Court.) O.P.
Poincaré, J. H.—The

*Foundations of Science: Science and Hypothesis, *

Chaps.
I-VIII;

*Science and Method, *

Book I, Chaps. I, II, and Book II, Chaps
I. II. (Science Press.)
Dantzig, T. Number,

*the Language of Science. *

(Allen & Unwin.)
Jeffreys, Н*.—Scientific Inference. *

(C.U.P.)
Klein,

*F.—Elementary Mathematics from the Advanced Sta*и *dpoint. *

(Mac-
millan).
PURE MATHEMATICS PART I

A course of three lectures and one tutorial class per week throughout the year.

Students should have obtained high honours in Pure Mathematics and in Calculus and Applied Mathematics at the Matriculation Examination.

Svm.Aвus. A more advanced treatment of the syllabus detailed on p. 132.

179

Booxs. (a) Prescribed text-books:

As on p. 132, with the replacement of Ferrař s book by:

Durell, C V., *and *Robson, *A. Advanced Algebra, *Vols. 1, 2, (Bell.)
Durell, C. V., *and *Robson, *A. Advanced Trigonometry. *(Bell.)

(b) Recommended for reference:

Courant, *R. Differential and Integral Calculus I. *(Blackie.)

Ferrar, W. *L.-Higher Algebra, *the sequel, starting with Ch. XV. (Oxford.)
Hardy, G. 1.—Pure *Mathematics. *(C.U.P.)

Courant, R., *and *Robbins, H. *E.—What is Mathematics! *(O.U.P.)
ExAMINATXoN. Two 3-hour papers.