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VOLUME 74, NUMBER 1

SMITHSONIAN MATHEMATICAL FORMULAE

AND

TABLES OF ELLIPTIC FUNCTIONS

MATHEMATICAL FORMULAE PREPARED BY

EDWIN P. ADAMS, PH.D.

PROFESSOR OF PHYSICS, PRINCETON UNIVERSITY

TABLES OF ELLIPTIC FUNCTIONS PREPARED UNDER THE DIRECTION OF
SIR GEORGE GREENHILL, BART.

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The Smithsonian Institution has maintained for many years a group of publications in the nature of handy books of information on geographical, meteorological, physical, and mathematical subjects. These include the Smithsonian Geographical Tables (third edition, reprint, 1918); the Smithsonian Meteorological Tables (fourth revised edition, 1918); the Smithsonian Physical Tables (seventh revised edition, 1921); and the Smithsonian Mathematical Tables: Hyperbolic Functions (second reprint, 1921).

The present volume comprises the most important formulae of many branches of applied mathematics, an illustrated discussion of the methods of mechanical integration, and tables of elliptic functions. The volume has been compiled by Dr. E. P. Adams, of Princeton University. Prof. F. R. Moulton, of the University of Chicago, contributed the section on numerical solution of differential equations. The tables of elliptic functions were prepared by Col. R. L. Hippisley, C. B., under the direction of Sir George Greenhill, Bart., who has contributed the introduction to these tables.

The compiler, Dr. Adams, and the Smithsonian Institution are indebted to many physicists and mathematicians, especially to Dr. H. L. Curtis and colleagues of the Bureau of Standards, for advice, criticism, and coöperation in the preparation of this volume.

May, 1922.

CHARLES D. WALCOTT,

Secretary of the Smithsonian Institution.

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