Gamma Function

Author: Emil Artin Series: Dover Books on Mathematics

Paperback

This brief monograph bridges a gap between sketchy and over-complicated treatments. Topics include functions, Euler integrals and Gauss formula, connection with sin x, applications to definite integrals, and other subjects. 1964 edition.

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Summary

Description

This brief monograph on the gamma function by a major 20th century mathematician was designed to bridge a gap in the literature of mathematics between incomplete and over-complicated treatments. Topics include functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.

About the Author

One of the 20th century's most prominent mathematicians, Emil Artin (1898-1962) taught at the University of Hamburg from 1923 to 1937. After emigrating to the United States, he taught at Notre Dame (1937-38), Indiana University (1938-46), and Princeton (1946-58) before returning to Hamburg in 1958. Dover also publishes his Galois Theory.

Back Cover

This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects. Dover (2015) republication of the edition originally published by Holt, Rinehart & Winston, Inc., New York, 1964. See every Dover book in print at