Background
Price, Griffith Baley was born on March 14, 1905 in Brookhaven, Mississippi, United States. Son of Walter Edwin and Lucy (Baley) Price.
(This book contains an introduction to the theory of funct...)
This book contains an introduction to the theory of functions, with emphasis on functions of several variables. The central topics are the differentiation and integration of such functions. Although many of the topics are familiar, the treatment is new; the book developed from a new approach to the theory of differentiation. Iff is a function of two real variables x and y, its deriva tives at a point Po can be approximated and found as follows. Let PI' P2 be two points near Po such that Po, PI, P2 are not on a straight line. The linear function of x and y whose values at Po, PI' P2 are equal to those off at these points approximates f near Po; determinants can be used to find an explicit representation of this linear function (think of the equation of the plane through three points in three-dimensional space). The (partial) derivatives of this linear function are approximations to the derivatives of f at Po ; each of these (partial) derivatives of the linear function is the ratio of two determinants. The derivatives off at Po are defined to be the limits of these ratios as PI and P2 approach Po (subject to an important regularity condition). This simple example is only the beginning, but it hints at a m theory of differentiation for functions which map sets in IRn into IR which is both general and powerful, and which reduces to the standard theory of differentiation in the one-dimensional case.
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Price, Griffith Baley was born on March 14, 1905 in Brookhaven, Mississippi, United States. Son of Walter Edwin and Lucy (Baley) Price.
Bachelor, Mississippi College, 1925. Master of Arts, Harvard University, 1928. Doctor of Philosophy, Harvard University, 1932.
Doctor of Laws (honorary), Mississippi College, 1962.
Instructor mathematics, Union College, Schenectady, New York, 1932-1933; instructor mathematics, U. Rochester, New York, 1933-1936; instructor mathematics, Brown U., Providence, 1936-1937; assistant professor, associate professor, then professor mathematics, U. Kansas, Lawrence, 1937-1975; professor emeritus, U. Kansas, Lawrence, since 1975; department chairman mathematics, U. Kansas, Lawrence, 1951-1970. Executive secretary Conference Board Mathematics Sciences, Washington, 1960-1962.
(This book contains an introduction to the theory of funct...)
(This book contains an introduction to the theory of funct...)
Civil. operations analyst United States Army Air Force, 1943-1945, England. Member American Association for the Advancement of Science, American Mathematics Society (editor, Bulletin 1950-1957), Mathematics Association American (president 1957-1958, award Distinguished Service 1970), New York Academy of Sciences, Cosmos Club, Sigma Xi.
Married Cora Lee Beers, June 18, 1940. Children: Cora Lee, Griffith Baley, Lucy Jean, Edwina Clare, Sallie Diane and Doris Joanne (twins).