Rosen, Michael I. (Michael Ira) 1938
Overview
Works:  14 works in 77 publications in 3 languages and 2,568 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works by
Michael I Rosen
A classical introduction to modern number theory by
Kenneth F Ireland(
Book
)
39 editions published between 1972 and 2011 in 3 languages and held by 1,231 WorldCat member libraries worldwide
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a welldeveloped and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wideranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the MordellWeil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves
39 editions published between 1972 and 2011 in 3 languages and held by 1,231 WorldCat member libraries worldwide
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a welldeveloped and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wideranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the MordellWeil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves
Elements of number theory; including an introduction to equations over finite fields by
Kenneth F Ireland(
Book
)
3 editions published in 1972 in English and held by 391 WorldCat member libraries worldwide
3 editions published in 1972 in English and held by 391 WorldCat member libraries worldwide
The arithmetic of function fields proceedings of the workshop at the Ohio State University, June 1726, 1991(
)
9 editions published between 1992 and 2011 in English and held by 376 WorldCat member libraries worldwide
9 editions published between 1992 and 2011 in English and held by 376 WorldCat member libraries worldwide
Number theory in function fields by
Michael I Rosen(
Book
)
9 editions published between 2001 and 2010 in English and held by 350 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 ABCconjecture, Artins conjecture on primitive roots, the BrumerStark 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 coauthor 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
9 editions published between 2001 and 2010 in English and held by 350 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 ABCconjecture, Artins conjecture on primitive roots, the BrumerStark 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 coauthor 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
Exposition by Emil Artin : a selection by
Emil Artin(
Book
)
5 editions published in 2007 in English and held by 203 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
5 editions published in 2007 in English and held by 203 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
Exposition : a selection by
Emil Artin(
Book
)
1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide
The Jacobson radical of a group algebra by
Michael I Rosen(
Book
)
2 editions published between 1963 and 1965 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1963 and 1965 in English and held by 2 WorldCat member libraries worldwide
Representations of twisted group rings by
Michael I Rosen(
)
1 edition published in 1963 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1963 in English and held by 2 WorldCat member libraries 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
1 edition published in 1987 in Russian and held by 1 WorldCat member library worldwide
Two theorems on Galois cohomology by
Michael I Rosen(
Book
)
2 editions published between 1964 and 1965 in Undetermined and English and held by 1 WorldCat member library worldwide
2 editions published between 1964 and 1965 in Undetermined and English 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
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
New percussion music by
Dary John Mizelle(
Recording
)
in Undetermined and held by 1 WorldCat member library worldwide
in Undetermined and held by 1 WorldCat member library worldwide
Elements of number theory : including and introduction to equations over finite fields by kenneth ireland and michael I. Rosen by
Kenneth F Ireland(
Book
)
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
Studying links via closed braids by
Joan S Birman(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
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Audience Level
0 

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Related Identities
 Ireland, Kenneth F. Author
 Hayes, David (David R.) Editor
 Goss, David 1952 Editor
 Artin, Emil 18981962 Author
 International mathematical research institute (Columbus, Ohio) Editor
 Ohio State University
 Ireland, Kenneth Author
 Oberlin Percussion Ensemble
 Demuškin, S. P.
 American Mathematical Society
Useful Links
Associated Subjects
Algebraic fields Algebraic functions Braid theory Computer music Drinfeld modules Electronic music Emergency medicineStandards Field theory (Physics) Finite fields (Algebra) Galois theory Gamma functions Geometry, Algebraic Group rings Group theory Homology theory Marimba music Mathematics Number theory Percussion ensembles Percussion music Rings (Algebra)