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[THIS NUMBER IS ESPECIALLY DEVOTED TO STATEMENTS OF THE WORK OF THE PAST YEAR AND TO THE PROGRAMMES FOR THE NEXT ACADEMIC YEAR.] JOHNS HOPKINS UNIVERSITY CIRCULARS. Pub/L~’/ied wit/i tAe approlation oft/ze Board of Trustees. No. 16.3 BALTIMORE, JULY, 1882. [PRICE5 CENTS. CALENDAR FOR THE ACADEMIC YEAR, 1882-83. September 19. Next Term Begins. September 20—23. Examinations for I~Iatricu1ation. September 26. Instructions Resumed. June 9, Next TermCloses. CONTENTS. PAGE. PAGE. Mathematics: Ancient and Modern Languages: Work of the Past Year, 218 Programme in Greek, Latin, Sanskrit, etc. 228 Programme for the Next Year, 219 Programme in German 229 Physics: Programme in English, 280 Work of the Past Year, 220 Programme in the Romance Languages 280 Programme for the Next Year, 220 History and Political Science: Chemistry: Work of the Past Year, 281 Work of the Past Year, 221 Programme for the Next Year, . 282 Programme for the Next Year, 222 Philosophy, Ethics, etc.: Biology: Work of the Past Year, 283 Work of the Past Year, . 223 Programmes forthe Next Year, 233 Programme for the Next Year, 224 Recent Appointments 234 Ancientand Modern Languages: Collegiate Instruction 235 Work in Ancient Languages, . 226 Degrees Conferred, 286 Work in Modern Languages 227 JYLEETINGS OF SOCIETIES. Scientific. First Wednesday of each month, Metaphysical. Second Tuesday of each Mathematical. Third Wednesday of each at 8P.M. month, at 8P.M. month, at 8P.M. S. H. Freeman, Secretary. B. I. Gilman, Secretary. 0. H. Mitchell, Secretary. Naturalists’ Field Club. Excursionseach Philological. First Friday of each month, Historical andPoliticalScience. Third Saturday during the Spring and Autumn. Regu at 12 M. Friday of each month, at8P.M. lar meetings for the reading and discussion of M. Warren, Secretary. H. B. Adams, Secretary. papers once amonth. H. F. Reid, Secretary. For further information, during the summer vacation, letters should be addressed to the “JOHNS HOPKINS UNIVERSITY,” Baltimore, Md., and not to the individual Professors, who are likely to be absent from the city. 218 JOHNS HOPKINS [No. 16. MATHEMATICS. WORK OF THE PAST YEAR. Courses have also been conducted, in the regular classes, by 1881-82. Dr. Story, in Quaternions, three lectures weekly. Higher Plane Curves, (Advanced Course) three lectures weekly, first The study of Mathematics has been pursued in the Johns half-year. Hopkins University, during the last academic year, by a com- Solid Analytic Geometry, three lectures weekly, second half-year. Conics, three times weekly, first half-year. pany of thirty-two students, of whom twenty-one followed ad- Higher Plane Curves, (Elementary Course) three times weekly,second vanced or university courses and eleven pursued collegiate courses. half-year. The roll for the year includes the following names Dr. Craig, in J. J. SYLVESTER, ID. C. L., F. R. S., Professor. Calculus of Variations, two lectures weekly,first half-year. A. CAYLEY, D. C. L., F. H. S., Lecturer. Spherical Harmonics, two lectures weekly, first half-year. C. S. PRIRcE, (U. S. Coast Survey), Lecturer. Mechanics, three lectures weekly, first half-year. W. B. STORY, Ph. D., Associate. Elliptic Functions, three lectures weekly. T, CRAIG, Ph. ID., Associate. Elasticity, three lectures weekly, second half-year. F. FRANKLIN, Ph. ID., Assistant. Partial Differential Equations, three lectures weekly, second half-year. Dr. Franklin, in W. P. Durfee, A. B., Fellow. Modern Algebra, two lectures weekly, second half-year. G. S. Ely, A. B., Fellow. Total Differential Equations, three times weekly,first half-year. S. H. Freeman, A. M., Fellow. Solid Analytic Geometry, (Elementary Course) three times weekly, B. I. Gilman, A. M., Fellow. C. H. Koyl, A. B., Fellow. first half-year. 0. H. Mitchell, A. MI., Fellow. Differential and Integral Calculus, three times weekly. H. M. Perry, A. B., Fellow. Theory of Equations, three times weekly, second half-year. IR. W. Prentiss, A. B., late Fellow. Lectures on Mathematical Physics. have also been given by Professor B. ID. Preston, C. E., late Fellow. Rowland and Dr. Hastings. Christine Ladd, A. B. The Mathematical Seminary, which constitutes in fact the E. Barnes, S. B. A. C. Applegarth. Mathematical Society of the University, has held eight meetings, J. C. Bland, C. E. G. Bissing. at which papers have been presented and discussed. Other com- ID. B. Brace, A. B. C. W. R. Cram. E. W. Davis, S. B. Ia. M. Huggins. munications have been read before the Johns Hopkins Scientific ID. T. IDay, A. B. G. A. Liebig. Association, and at less formal meetings. The titles and subjects H. R. Goodnow, A. B. J. Page. A. S. Hathaway, S. B. N. M. Parrish. of these papers are specified below. C. A. Perkins, A. B. W. H. Perkins. By PROFESSOR SYLVESTER, on a certain integrable class of differential C. C. Norwood, A. B. H. H. Wiegand. and finite difference equations; on the completion of the author’s method of H. F. Reid, A. B. obtaining the ground forms to any binary quantic or system of binary A. A. Veblen, A. M. W. J. Witzenbacher. quantics; a queslion in partitions; a geometrical proof of a theorem in numbers; a geometrical treatment of a theorem in numbers; the proper- ties of a split matrix; (with F. Franklin) a logical problem connected The head of the department is Professor Sylvester, who has with assurances on joint-lines; on mechanical involution; and on nonions. By PROFESSOR CAYLEY, on two cases of the quadric transformation delivered two courses of lectures—one, in the early part of the between two planes; a problem of analytical geometry; the geometrical session, on the Theory of Numbers (and in especial on an exten- representation of an equation between two variables ; on associative sion of Tehebycheff’s theory concerning prime numbers); the imaginaries; on the geometrical forms called trees; •the geometrical inter- Qther, between January and June, on a New Theory of Universal ~retation of certain formuln in elliptic functions; on eight-square imagi- Multiple Algebra. naries; and on the formuin of trigonometry. By MR. PEIRCE, on the relative forms of quaternions. Professor Cayley, Sadlerian Professor of Pure Mathematics in By Da. STORY, on a system of conchordal conies; analytical proof of the University of Cambridge, came to this country, by invitation some properties of binodal quartics; and on the non-euclidean trigo- of the Trustees, at Professor Sylvester’s suggestion, in December nometry. last, and since the commencement of the year, has delivered a By IDa. CRAIG, on an n-fold potential; a geometrical theorem; on areas systematic and highly original course of lectures upon Algebraical of corresponding surfaces. Geometry, in connection with the Abelian and Theta Functions. By DR. FRANKLIN, on a class of ordinary differential equations of the first order and degree; on the probability of the existence of an error in These professors have lectured, alternately, to a class of four- the result of a certain computation; on cubic curves; and on cubics and teen studesits, on Monday, Tuesday, Thursday, and Friday. systems of conies. Several shorter courses of mathQmatical lectures have been By MR. MITCHELL, on the residues of symmetric functions; on parti- given, (like the former intended for hearers of superior attain- tions; on the algebra of logie; and on the determinant of powers. By Mn. DunrEE, on some properties of the numerical solutions of ments), on Wednesdays and other days, viz: by Mr. C. S. Peirce, 2 —y2 1. ax (three lectures), on the Logic of Relatives; by Dr. Story, (six By Mn. G. S. ELY, on the determination of the number of the even lectures), on the Clebsch-Gordan Invariantive Theory; and by Dr. and of the odd integer roots of an equation; and on partitions. Craig, (three lectures), on the Construction and Dissection of a By MR. PERRY, on singular solutions of differential equations. Riemaun’s Surface. By MR. DAVIS, on binodal quartics. JULY, 1882.] UNIVERSITY CIIWULARS. 219 Three numbers of the fourth volume of the AMERICAN JOURNAL PROGRAMME FOR THE YEAR BEGINNING OF MATHEMATICS have been issued during the academic year, and SEPTEMBER i~, 1882. the concluding number of the volume is in the press and will shortly appear. The second number and a part of the third were First Half-Year. devoted tothe late Professor Benjamin Peirce’s Memoir on Linear Lectures, etc. PROFESSOR SYLVESTER: Associative Algebra, with notes and addenda by Mr. C. S. Peirce. Universal Multiple Algebra. This Journal has contained, since its commencement in 1S~18, Twice weekly. in addition to a large number of papers by its editor, Professor DR. STORY: Sylvester, and other members of the mathematical staff of the Analytic Geometry [Advanced Course]. Three limes weekly. nniversity, original communications from eminent professors and The Clebsch.Gordan Invariantive Theory. others residing in England, the Dominion of Canada, France, Three limes weekly. Germany, Italy, Denmark, and this country, as shown in the sub- Higher Plane Curves. joined list. Three limes weekly. DR. CRAIG: LIST OF CONTRIBUTORS. Elliptic Functions. W. H. Burr. W. W. Johnson. Three limes weekly. Arthur Cayley. A. B. Kempe. Definite Integrals. A. B. Chace. 0. H. Kendall. Twice weekly. W. K. Clifford. C. Ladd. Calculus of Variations. T. Craig. H. Lipschitz. Twice weekly. W. M. Crofton. J. Loudon. Mechanics. T. S. E. Dixon. E. Lucas. Three limes weekly. H. T. Eddy. J. W. Mallet. DR. FRANKLIN: E. A. Engler. E. McClintock. Fa~ de Bruno. 0. H. Mitchell. Solid Analytic Geometry. A. Frankland. J. Muir. Three limes weekly. F. Franklin. S. Newcomb. Differential and Integral Calculus. F. T. Freeland. C. S. Peirce. Five limes weekly. A. de Gasparis. J. Petersen. J. W. Gibbs. A. W. Phillips. Second Half-Year. J. C. Glashan. S. Roberts. PROFESSOR SYLVESTER: E.
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