Background
Murray, Francis Joseph was born on February 3, 1911 in New York City. Son of Frank and Mary (Dugan) Murray.
(The primary objective of the course presented here is ori...)
The primary objective of the course presented here is orientation for those interested in applying mathematics, but the course should also be of value or in using math to those interested in mathematical research and teaching ematics in some other professional context. The course should be suitable for college seniors and graduate students, as well as for college juniors who have had mathematics beyond the basic calculus sequence. Maturity is more significant than any formal prerequisite. The presentation involves a number of topics that are significant for applied mathematics but that normally do not appear in the curriculum or are depicted from an entirely different point of view. These topics include engineering simulations, the experience patterns of the exact sciences, the conceptual nature of pure mathematics and its relation to applied mathe matics, the historical development of mathematics, the associated conceptual aspects of the exact sciences, and the metaphysical implications of mathe matical scientific theories. We will associate topics in mathematics with areas of application. This presentation corresponds to a certain logical structure. But there is an enormous wealth of intellectual development available, and this permits considerable flexibility for the instructor in curricula and emphasis. The prime objective is to encourage the student to contact and utilize this rich heritage. Thus, the student's activity is critical, and it is also critical that this activity be precisely formulated and communicated.
http://www.amazon.com/gp/product/1468433148/?tag=prabook0b-20
( Theorems stating the existence of an object—such as the...)
Theorems stating the existence of an object—such as the solution to a problem or equation—are known as existence theorems. This text examines fundamental and general existence theorems, along with the Picard iterants, and applies them to properties of solutions and linear differential equations. The authors assume a basic knowledge of real function theory, and for certain specialized results, of elementary functions of a complex variable. They do not consider the elementary methods for solving certain special differential equations, nor advanced specialized topics; within these restrictions, they obtain a logically coherent discussion for students at a specific phase of their mathematical development. The treatment begins with a survey of fundamental existence theorems and advances to general existence and uniqueness theorems. Subsequent chapters explore the Picard iterants, properties of solutions, and linear differential equations.
http://www.amazon.com/gp/product/0882753207/?tag=prabook0b-20
(Existence Theorems for Ordinary Differential Equations by...)
Existence Theorems for Ordinary Differential Equations by Francis J. Murray, ...
http://www.amazon.com/gp/product/B00M3SDMFM/?tag=prabook0b-20
( The description for this book, An Introduction to Linea...)
The description for this book, An Introduction to Linear Transformations in Hilbert Space. (AM-4), will be forthcoming.
http://www.amazon.com/gp/product/0691095698/?tag=prabook0b-20
consultant mathematics educator researcher
Murray, Francis Joseph was born on February 3, 1911 in New York City. Son of Frank and Mary (Dugan) Murray.
Bachelor, Columbia College, 1932; Master of Arts, Columbia University, 1933; Doctor of Philosophy, Columbia University, 1935.
NRF Institute for Advanced Study, Princeton, New Jersey, 1934-1936. From instructor to professor Columbia University, New York City, 1936-1960. Professor Duke University, Durham, North Carolina, 1960-1980.
Retired, 1980
Mathematics consultant United States Navy, United States Army, United States Air Force and defense firms, 1947-1970. Director special research in numerical analysis United States Army-Duke University, 1957-1970.
(The primary objective of the course presented here is ori...)
( Theorems stating the existence of an object—such as the...)
( Theorems stating the existence of an object—such as the...)
( The description for this book, An Introduction to Linea...)
(Existence Theorems for Ordinary Differential Equations by...)
(Will be shipped from US. Brand new copy.)
Married Madge O'Donnell, June 9, 1935. Children: Mary, Conal, Frank, Grace, Charles, Kenneth.