Rose, H. E.
Overview
Works:  13 works in 122 publications in 2 languages and 2,207 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA9.A1, 511.3 
Publication Timeline
.
Most widely held works by
H. E Rose
A course in number theory by
H. E Rose(
Book
)
35 editions published between 1987 and 2007 in English and Undetermined and held by 682 WorldCat member libraries worldwide
This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent subtheories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the GelfondSchneider theorem, the prime number theorem, and the MordellWeil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables
35 editions published between 1987 and 2007 in English and Undetermined and held by 682 WorldCat member libraries worldwide
This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent subtheories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the GelfondSchneider theorem, the prime number theorem, and the MordellWeil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables
Subrecursion : functions and hierarchies by
H. E Rose(
Book
)
14 editions published in 1984 in English and Undetermined and held by 322 WorldCat member libraries worldwide
14 editions published in 1984 in English and Undetermined and held by 322 WorldCat member libraries worldwide
Logic colloquium '73 : proceedings of the Logic Colloquium, Bristol, July 1973 by
Bristol) Logic Colloquium (1973(
Book
)
35 editions published in 1975 in 3 languages and held by 316 WorldCat member libraries worldwide
35 editions published in 1975 in 3 languages and held by 316 WorldCat member libraries worldwide
Linear algebra : a pure mathematical approach by
H. E Rose(
Book
)
7 editions published in 2002 in English and held by 276 WorldCat member libraries worldwide
Linear algebra is one of the most important branches of mathematicsimportant because of its many applications to other areas of mathematics, and important because it contains a wealth of ideas and results which are basic to pure mathematics. This book gives an introduction to linear algebra, develops and proves its fundamental properties and theorems' taking a pure mathematical approach. (Midwest)
7 editions published in 2002 in English and held by 276 WorldCat member libraries worldwide
Linear algebra is one of the most important branches of mathematicsimportant because of its many applications to other areas of mathematics, and important because it contains a wealth of ideas and results which are basic to pure mathematics. This book gives an introduction to linear algebra, develops and proves its fundamental properties and theorems' taking a pure mathematical approach. (Midwest)
A course on finite groups by
H. E Rose(
Book
)
21 editions published between 2009 and 2010 in English and held by 132 WorldCat member libraries worldwide
A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point where a number of classic theorems can be proved. The topics covered include: group constructions; homomorphisms and isomorphisms; actions; Sylowtheory; products and Abelian groups; series; nilpotent and soluble groups; and an introduction to the classification of the finite simple groups. A number of groups are described in detail and the reader is encouraged to work with one of the many computer algebra packages available to construct and experience "actual" groups for themselves in order to develop a deeper understanding of the theory and the significance of the theorems. Numerous problems, of varying levels of difficulty, help to test understanding. A brief resumé of the basic set theory and number theory required for the text is provided in an appendix, and a wealth of extra resources is available online at www.springer.com, including: hints and/or full solutions to all of the exercises; extension material for many of the chapters, covering more challenging topics and results for further study; and two additional chapters providing an introduction to group representation theory
21 editions published between 2009 and 2010 in English and held by 132 WorldCat member libraries worldwide
A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point where a number of classic theorems can be proved. The topics covered include: group constructions; homomorphisms and isomorphisms; actions; Sylowtheory; products and Abelian groups; series; nilpotent and soluble groups; and an introduction to the classification of the finite simple groups. A number of groups are described in detail and the reader is encouraged to work with one of the many computer algebra packages available to construct and experience "actual" groups for themselves in order to develop a deeper understanding of the theory and the significance of the theorems. Numerous problems, of varying levels of difficulty, help to test understanding. A brief resumé of the basic set theory and number theory required for the text is provided in an appendix, and a wealth of extra resources is available online at www.springer.com, including: hints and/or full solutions to all of the exercises; extension material for many of the chapters, covering more challenging topics and results for further study; and two additional chapters providing an introduction to group representation theory
Logic Colloquium '88 : proceedings of the Colloquium held in Padova, Italy August 2231, 1988 by Logic Colloquium '88(
Book
)
1 edition published in 1989 in English and held by 10 WorldCat member libraries worldwide
The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. As well as selected papers, the two panel discussions are also included, on ̀̀Trends in Logic'' and ̀̀The Teaching of Logic''
1 edition published in 1989 in English and held by 10 WorldCat member libraries worldwide
The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. As well as selected papers, the two panel discussions are also included, on ̀̀Trends in Logic'' and ̀̀The Teaching of Logic''
A course on finite groups by
H. E Rose(
)
2 editions published in 2009 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 7 WorldCat member libraries worldwide
Logic colloquium '85 : proceedings of the colloquium held in Orsay, France July 1985 by
France) Equipe de logique mathématique (Paris(
Book
)
1 edition published in 1987 in English and held by 6 WorldCat member libraries worldwide
The bulk of this volume consists of invited addresses presented at the Colloquium. These contributions report on recent or ongoing research in some of the mainstream areas of mathematical logic: model theory, both pure and in its applications (to group theory and real algebraic geometry); and proof theory, applied to set theory and diophantine equations. The major novel aspect of the book is the important place accorded to the connections of mathematical logic with the neighboring disciplines: mathematical foundations of computer science, and philosophy of mathematics
1 edition published in 1987 in English and held by 6 WorldCat member libraries worldwide
The bulk of this volume consists of invited addresses presented at the Colloquium. These contributions report on recent or ongoing research in some of the mainstream areas of mathematical logic: model theory, both pure and in its applications (to group theory and real algebraic geometry); and proof theory, applied to set theory and diophantine equations. The major novel aspect of the book is the important place accorded to the connections of mathematical logic with the neighboring disciplines: mathematical foundations of computer science, and philosophy of mathematics
Logic Colloquium '86 : proceedings of the colloquium held in Hull, U.K. July 1319, 1986 by
F. R Drake(
Book
)
1 edition published in 1988 in English and held by 6 WorldCat member libraries worldwide
The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. Important new developments in the applications of logic in computer science are presented. Other areas examined include model theory, set theory, recursion theory, proof theory, and the history of logic. This volume contains the texts of ten of the invited lectures and six of the contributed papers
1 edition published in 1988 in English and held by 6 WorldCat member libraries worldwide
The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. Important new developments in the applications of logic in computer science are presented. Other areas examined include model theory, set theory, recursion theory, proof theory, and the history of logic. This volume contains the texts of ten of the invited lectures and six of the contributed papers
Logic Colloquium '73 proceedings of the Logic Colloquium, Bristol, July 1973(
)
1 edition published in 1975 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1975 in English and held by 3 WorldCat member libraries worldwide
Logic Colloquium by
Manchester) Logic Colloquium (1984(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Logic Colloquium 76 : proceedings of a conference held in Oxford in July 1976 by
Oxford) Logic Colloquium (1976(
Book
)
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
Formalisations of recursive arithmetic by
H. E Rose(
Book
)
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
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