Ralph Lent Jeffery (3 October 1889 Overton,

Yarmouth County, Nova Scotia Yarmouth County is a rural county in the Canadian province of Nova Scotia. It has both traditional Anglo- Scottish and Acadian French culture as well as significant inland wilderness areas, including over 365 lakes and several major rivers. It c ...

Canada Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of coun ...

– 1975

Wolfville, Nova Scotia Wolfville is a Canadian town in the Annapolis Valley, Kings County, Nova Scotia, located about northwest of the provincial capital, Halifax. The town is home to Acadia University and Landmark East School. The town is a tourist destination d ...

) was a Canadian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

working on analysis. He taught at several institutions including

Acadia University Acadia University is a public, predominantly Undergraduate education, undergraduate university located in Wolfville, Nova Scotia, Canada, with some Postgraduate education, graduate programs at the master's level and one at the Doctorate, doctor ...

, the

University of Saskatchewan The University of Saskatchewan (U of S, or USask) is a Universities in Canada, Canadian public university, public research university, founded on March 19, 1907, and located on the east side of the South Saskatchewan River in Saskatoon, Saskatch ...

and Queen's University. Jeffery Hall at Queen's was named for him. In 1937 he was elected a Fellow of the

Royal Society of Canada The Royal Society of Canada (RSC; , SRC), also known as the Academies of Arts, Humanities, and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bilingual council of distinguishe ...

. In 1925 Jeffery exhibited a

bounded function In mathematics, a function f defined on some set X with real or complex values is called bounded if the set of its values (its image) is bounded. In other words, there exists a real number M such that :, f(x), \le M for all x in X. A functi ...

of two real variables,

continuous Continuity or continuous may refer to: Mathematics * Continuity (mathematics), the opposing concept to discreteness; common examples include ** Continuous probability distribution or random variable in probability and statistics ** Continuous ...

in each, yet fails to have an

integral In mathematics, an integral is the continuous analog of a Summation, sum, which is used to calculate area, areas, volume, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental oper ...

. In 1951 Jeffery published ''Theory of Functions of a Real Variable'' which was noted for its coverage of integration theory.W.W. Rogosinski (1952) "Review: ''Functions of a Real Variable'',

The Mathematical Gazette ''The Mathematical Gazette'' is a triannual peer-reviewed academic journal published by Cambridge University Press on behalf of the Mathematical Association. It covers mathematics education with a focus on the 15–20 years age range. The journ ...

Selected papers

* 1925: "Definite integrals containing a parameter",

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...

26(3): 173 to 80 * 1926: "Functions of two variables for which the double integral does not exist",

American Mathematical Monthly ''The American Mathematical Monthly'' is a peer-reviewed scientific journal of mathematics. It was established by Benjamin Finkel in 1894 and is published by Taylor & Francis on behalf of the Mathematical Association of America. It is an exposi ...

33(3): 142,3 * 1931: "The uniform approximation of a sequence of integrals",

American Journal of Mathematics The ''American Journal of Mathematics'' is a bimonthly mathematics journal published by the Johns Hopkins University Press. History The ''American Journal of Mathematics'' is the oldest continuously published mathematical journal in the United S ...

53(1): 61 to 71 * 1933: "Sets of k-extent in n-dimensional space",

Transactions of the American Mathematical Society The ''Transactions of the American Mathematical Society'' is a monthly peer-reviewed scientific journal of pure and applied mathematics published by the American Mathematical Society. It was established in 1900. As a requirement, all articles must ...

35(3): 629 to 47

References

* * {{DEFAULTSORT:Jeffery, Ralph Lent Canadian mathematicians 1889 births 1975 deaths Presidents of the Canadian Mathematical Society Mathematical analysts Academic staff of Acadia University Academic staff of the University of Saskatchewan Academic staff of Queen's University at Kingston Fellows of the Royal Society of Canada