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.

The Gamma Function (Dover Books on Mathematics)

Science & Math

Artin, Emil

Mathematics

Dover Publications

This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

Geometric Algebra (Dover Books on Mathematics)

Emil Artin was on born March 3, 1898, in Vienna, Austria and died on December 20, 1962, in Hamburg, Germany. He was an Austrian mathematician. He was one of the great thinkers of his generation. Emil Artin was a leading algebraist of the twentieth century. He worked primarily in algebraic number theory, doing pioneering work in class field theory. He exhibited new L-functions generalizing the zeta functions, and (with his student John Tate) developed the cohomological approach to class field theory. He contributed importantly to the theories of groups, rings and fields. He invented the theory of braids in algebraic topology. G. B. Seligman wrote about this book: “Considerable stress is laid on active thinking in following the proofs. Perhaps the outstanding accomplishment of the course is imparting a sense of what constitutes a mathematical proof and an appreciation of the ingenuity which goes into the construction of a proof."

A Freshman Honors Course in Calculus and Analytic Geometry

Ishi Press

Format Hardcover Subject Literary Collections

Galois Theory: Lectures Delivered At The University Of Notre Dame

Literature & Fiction

Essays & Correspondence

Literary Licensing, LLC

A Freshman Honors Course In Calculus And Analytic Geometry Taught At Princeton University

A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University

Literary

Elements of Algebraic Geometry (Classic Reprint)

Forgotten Books

Emil Artin was one of the leading algebraists of the 20th century. He worked in algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields. Artin developed the theory of braids as a branch of algebraic topology. He was also an important expositor of Galois theory, and of the group cohomology approach to the class ring theory (with John Tate) just to mention two theories where his formulations have became an established standard. The influential treatment of abstract algebra by van der Waerden is said to derive in part from Artin's ideas, as do those by Emmy Noether. This volume is a reprint of Artin's works.

Collected Papers (Springer Collected Works in Mathematics) (German Edition)

Springer

In the late summer of 1925, Emil Artin, a young professor at the University of Hamburg and rising star of mathematics, organized a group of six other young men to travel to Iceland to explore the natural wonders of this still exotic and far-off land to the north. Iceland (before the transforming presence of American and British forces stationed there during WWII) was still a primitive country in 1925, with a thinly scattered population and virtually no transportation infrastructure. The group set out by steamer from Hamburg, first to Norway, where they boarded a second steamer that took them to Iceland, stopping at several of the small east fjord ports before arriving at their initial destination, Husavik in the north of the island. Here the Wandervogel group disembarked, their goal, trekking down the Laxá River to Lake Mývatn. They made a circuit of the large, irregular lake, staying in farm houses, barns, and occasionally a tent as they went. When they slept in barns, it was often on piles of wet straw or hay. On those lucky occasions when they slept in beds, it could be almost as damp on account of the rain trickling through the sod roofs. Their tent leaked as well.Artin kept a meticulous journal of this trip, making daily entries in a neat, minuscule hand. He and several of his companions had brought cameras, and documented the trek in nearly 200 small photographs, many of which are reproduced in this book. Artin's journal attests to his overarching interest in the geology of this mid-Atlantic island, situated over the boundary of two tectonic plates whose shifting relation makes it geologically hyperactive.In keeping with the Wandervogel ethos, Artin and his companions carried music with them wherever they visited. The young men had packed guitars and violins, and Artin played the harmoniums common in the isolated farmsteads where they found lodging. The group regularly performed for their isolated Icelandic hosts, whose access to any kind entertainment was severely limited.From Lake Mývatn, Artin and his companions headed west towards Akureyri, passing the large waterfall Goðafoss on the way. From Akureyri, they trekked west down the Öxnadalur (Ox Valley) intending to rent pack horses and cross the high and barren interior by foot to Reykjavík. By the time they reached the lower end of Skagafjörður, however, a local farmer from whom they had hoped to rent the horses persuaded them that a cross-country trek was by then impracticable; with the approach of winter, highland routes were already snow-bound and impassable. Instead of turning south, then, they turned north to Siglufjörður, where they boarded another steamer that took them around the western peninsula and down the coast to Reykjavík. From Reykjavík, they returned via Norway to Hamburg. By Artin's calculation the distance they had covered on foot through Iceland totaled 450 kilometers.The present book reprints Artin's journal in its original German, together with a full English translation. The journal text is accompanied by extensive explanatory footnotes, and is prefaced with an introduction placing Artin's journal in the long tradition of Iceland travel narratives. Included also is a generous sample of the photographs taken by Artin and his companions.

Emil Artin's Iceland Journal: 1925

Biographies & Memoirs

Memoirs

CreateSpace Independent Publishing Platform

Galois Theory: Lectures Delivered at the University of Notre Dame

Bow Wow Press

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