WorldCat Identities

Rosen, Michael I. (Michael Ira) 1938-

Overview
Works: 21 works in 122 publications in 3 languages and 3,116 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other
Publication Timeline
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Most widely held works by Michael I Rosen
A classical introduction to modern number theory by Kenneth F Ireland( Book )

47 editions published between 1972 and 2011 in 3 languages and held by 1,236 WorldCat member libraries worldwide

This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time
Number theory in function fields by Michael I Rosen( Book )

15 editions published between 2001 and 2011 in English and held by 426 WorldCat member libraries worldwide

Elementary number theory is concerned with arithmetic properties of the ring of integers. Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting, for example, analogues of the theorems of Fermat and Euler, Wilsons theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlets theorem on primes in an arithmetic progression. After presenting the required foundational material on function fields, the later chapters explore the analogy between global function fields and algebraic number fields. A variety of topics are presented, including: the ABC-conjecture, Artins conjecture on primitive roots, the Brumer-Stark conjecture, Drinfeld modules, class number formulae, and average value theorems. The first few chapters of this book are accessible to advanced undergraduates. The later chapters are designed for graduate students and professionals in mathematics and related fields who want to learn more about the very fruitful relationship between number theory in algebraic number fields and algebraic function fields. In this book many paths are set forth for future learning and exploration. Michael Rosen is Professor of Mathematics at Brown University, where hes been since 1962. He has published over 40 research papers and he is the co-author of A Classical Introduction to Modern Number Theory, with Kenneth Ireland. He received the Chauvenet Prize of the Mathematical Association of America in 1999 and the Philip J. Bray Teaching Award in 2001
Elements of number theory; including an introduction to equations over finite fields by Kenneth F Ireland( Book )

6 editions published in 1972 in English and held by 384 WorldCat member libraries worldwide

Exposition by Emil Artin : a selection by Emil Artin( Book )

9 editions published in 2007 in English and held by 221 WorldCat member libraries worldwide

"Emil Artin was one of the great mathematicians of the twentieth century. Artin had a great influence on the development of mathematics in his time, both by means of his many contributions to research and by the high level and excellence of his teaching and expository writing. In this volume we gather together in one place a selection of his writings wherein the reader can learn some mathematics as seen through the eyes of a true master."--Jacket
The Arithmetic of function fields : proceedings of the workshop at the Ohio State University, June 17-26, 1991( Book )

17 editions published between 1992 and 2011 in English and held by 158 WorldCat member libraries worldwide

Two theorems on Galois cohomology by Michael I Rosen( Book )

5 editions published between 1964 and 1968 in English and Undetermined and held by 21 WorldCat member libraries worldwide

The Jacobson radical of a group algebra by Michael I Rosen( Book )

4 editions published between 1963 and 1965 in English and held by 20 WorldCat member libraries worldwide

A Classical Introduction to Modern Number Theory by Kenneth F Ireland( )

2 editions published between 1982 and 1990 in English and held by 6 WorldCat member libraries worldwide

The vocal behaviour of the Spring Peeper, Hyla crucifer by Michael I Rosen( Book )

3 editions published in 1974 in English and held by 4 WorldCat member libraries worldwide

Representations of twisted group rings by Michael I Rosen( )

2 editions published between 1963 and 1978 in English and held by 3 WorldCat member libraries worldwide

Number Theory in Function Fields by Michael I Rosen( )

1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide

The class group of an absolutely Abelian l-extension by Gary Cornell( Book )

1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide

Studying links via closed braids by Joan S Birman( Book )

2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide

Klassicheskoe vvedenie v sovremennuiu teoriiu chisel by Kenneth Ireland( Book )

1 edition published in 1987 in Russian and held by 2 WorldCat member libraries worldwide

A note on the splitting of the Hilbert class field by Gary Cornell( Book )

1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide

Exposition by Emil Artin : a selection by Emil Artin( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Klassičeskoe vvedenie v sovremennuû teoriû čisel by Kenneth F Ireland( Book )

1 edition published in 1987 in Russian and held by 1 WorldCat member library worldwide

Quality measures for the emergency services( Book )

1 edition published in 2001 in English and held by 1 WorldCat member library worldwide

Klassičeskoe vvedenie v sovremennujo teoriju čisel : A classical introduction to modern number theory by K Ajerland( Book )

1 edition published in 1987 in Russian and held by 1 WorldCat member library worldwide

Exposition by Emil Artin by Michael I Rosen( )

1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide

Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. He also discovered and proved the Artin reciprocity law, the culmination of over a century and a half of progress in algebraic number theory. Artin had a great influence on the development of mathematics in his time, both by means of his many contributions to research and by the high level and excellence of his teaching a
 
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A classical introduction to modern number theory
Alternative Names
Michael Rosen Amerikaans wiskundige

Michael Rosen amerikansk matematikar

Michael Rosen amerikansk matematiker

Michael Rosen mathématicien américain

Michael Rosen US-amerikanischer Mathematiker

Rosen, Michael.

Rosen Michael 1938-....

Rosen, Michael I.

Rosen, Michael Ira

Rouzen, M.

Rouzen, M. 1938-

Майкл Розен

Languages
English (114)

Russian (3)

German (2)

Covers
Number theory in function fieldsExposition by Emil Artin : a selectionA Classical Introduction to Modern Number TheoryExposition by Emil Artin : a selection