Gouvêa, Fernando Q. (Fernando Quadros)
Overview
Works:  27 works in 172 publications in 5 languages and 5,858 library holdings 

Genres:  History Conference papers and proceedings Popular works 
Roles:  Author, Editor 
Publication Timeline
.
Most widely held works by
Fernando Q Gouvêa
Math through the ages : a gentle history for teachers and others by
William P Berlinghoff(
Book
)
34 editions published between 2002 and 2019 in English and held by 1,586 WorldCat member libraries worldwide
Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56page bird'seye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further
34 editions published between 2002 and 2019 in English and held by 1,586 WorldCat member libraries worldwide
Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56page bird'seye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further
A guide to groups, rings, and fields by
Fernando Q Gouvêa(
)
10 editions published between 2012 and 2014 in English and held by 1,440 WorldCat member libraries worldwide
This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work
10 editions published between 2012 and 2014 in English and held by 1,440 WorldCat member libraries worldwide
This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work
Arithmetic of diagonal hypersurfaces over finite fields by
Fernando Q Gouvêa(
)
13 editions published in 1995 in English and held by 1,108 WorldCat member libraries worldwide
There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the LichtenbaumMilne formula for the central value of the Lfunction. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help nonspecialists gain access to the results
13 editions published in 1995 in English and held by 1,108 WorldCat member libraries worldwide
There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the LichtenbaumMilne formula for the central value of the Lfunction. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help nonspecialists gain access to the results
Padic numbers : an introduction by
Fernando Q Gouvêa(
Book
)
44 editions published between 1993 and 2017 in English and Undetermined and held by 805 WorldCat member libraries worldwide
There are numbers of all kinds: rational, real, complex, padic ... The padic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This book is an elementary introduction to padic numbers. Most other books on the subject are written for more advanced students. This book can almost be viewed as an introduction to be read in preparation for reading these more advanced texts. Readers who want to have an idea and appreciation of the subject but do not need to become specialists will probably find what they need in this book, while other texts may be too technical
44 editions published between 1993 and 2017 in English and Undetermined and held by 805 WorldCat member libraries worldwide
There are numbers of all kinds: rational, real, complex, padic ... The padic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This book is an elementary introduction to padic numbers. Most other books on the subject are written for more advanced students. This book can almost be viewed as an introduction to be read in preparation for reading these more advanced texts. Readers who want to have an idea and appreciation of the subject but do not need to become specialists will probably find what they need in this book, while other texts may be too technical
Arithmetic of padic modular forms by
Fernando Q Gouvêa(
Book
)
25 editions published between 1987 and 2006 in 3 languages and held by 555 WorldCat member libraries worldwide
The central topic of this research monograph is the relation between padic modular forms and padic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the padic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about padic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject
25 editions published between 1987 and 2006 in 3 languages and held by 555 WorldCat member libraries worldwide
The central topic of this research monograph is the relation between padic modular forms and padic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the padic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about padic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject
Advances in number theory : the proceedings of the Third Conference of the Canadian Number Theory Association, August 1824,
1991, the Queen's University at Kingston by
Canadian Number Theory Association(
Book
)
12 editions published between 1992 and 1993 in English and held by 219 WorldCat member libraries worldwide
12 editions published between 1992 and 1993 in English and held by 219 WorldCat member libraries worldwide
Arithmetic of diagonal hypersurfaces over finite fields by
Fernando Q Gouvêa(
)
5 editions published between 1994 and 1995 in English and held by 36 WorldCat member libraries worldwide
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields
5 editions published between 1994 and 1995 in English and held by 36 WorldCat member libraries worldwide
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields
Wen rou shu xue shi : cong gu ai ji dao chao ji dian nao by Bo lin huo fu(
Book
)
2 editions published between 2008 and 2014 in Chinese and held by 33 WorldCat member libraries worldwide
2 editions published between 2008 and 2014 in Chinese and held by 33 WorldCat member libraries worldwide
Formas modulares : uma introdução by
Fernando Q Gouvêa(
Book
)
5 editions published between 1989 and 1990 in Portuguese and Undetermined and held by 24 WorldCat member libraries worldwide
5 editions published between 1989 and 1990 in Portuguese and Undetermined and held by 24 WorldCat member libraries worldwide
Wortels van de wiskunde : een historisch overzicht voor leraren en anderen by
William P Berlinghoff(
Book
)
2 editions published in 2016 in Dutch and held by 18 WorldCat member libraries worldwide
2 editions published in 2016 in Dutch and held by 18 WorldCat member libraries worldwide
A guide to groups, rings, and fields by
Fernando Q Gouvêa(
Book
)
3 editions published in 2012 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 2012 in English and held by 10 WorldCat member libraries worldwide
Rational points on curves over finite fields : lectures given at Harvard University, September to December, 1985 by
JeanPierre Serre(
Book
)
2 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
Pathways from the past by
William P Berlinghoff(
Book
)
1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide
A guide to groups, rings, and fields by
Fernando Q Gouvêa(
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work
Wen rou shu xue shi : cong gu Aiji dao chao ji dian nao by
William P Berlinghoff(
Book
)
1 edition published in 2014 in Chinese and held by 2 WorldCat member libraries worldwide
1 edition published in 2014 in Chinese and held by 2 WorldCat member libraries worldwide
Diophantine equations and geometry by
Fernando Q Gouvêa(
Book
)
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
Arithmetic of diagonal hypersurfaces over finite fields by
Fernando Q Gouvêa(
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
Séries infinitas by
Fernando Q Gouvêa(
Book
)
1 edition published in 1983 in Portuguese and held by 1 WorldCat member library worldwide
1 edition published in 1983 in Portuguese and held by 1 WorldCat member library worldwide
Primeiros passos Padicos by
Fernando Q Gouvêa(
Book
)
1 edition published in 1989 in Portuguese and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Portuguese and held by 1 WorldCat member library worldwide
A Guide to Groups, Rings, and Fields (MAA Guides) by
Fernando Q Gouvêa(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Berlinghoff, William P. Other Author Editor
 Yui, Noriko Author Editor
 Canadian Number Theory Association Conference 1991 : Queen's University)
 洪萬生 1949 Translator
 柏林霍夫 (Berlinghoff, William P.) Author
 HPM團隊
 英家銘 (數學)
 辜維亞 (Gouvea, Fernando Q.(Fernando Quadros))
 SpringerLink (Service en ligne)
 Bogaart, Desiree van den Translator
Associated Subjects
Algebra Algebraic fields Arithmetical algebraic geometry Finite fields (Algebra) Forms, Modular Geometry, Algebraic History in mathematics education Hypersurfaces Interdisciplinary approach in education Mathematics MathematicsStudy and teaching Number theory padic analysis padic numbers Rings (Algebra)
Covers
Alternative Names
Fernando Q. Gouvêa brasilianischer Mathematiker
Fernando Q. Gouvêa Brazilian mathematician
Fernando Q. Gouvêa wiskundige uit Brazilië
Fernando Quadros Gouvêa brasiliansk matematikar
Fernando Quadros Gouvêa brasiliansk matematiker
Gouvêa, F. Q. 1957
Gouvêa, Fernando 1957
Gouvêa, Fernando Q.
Gouvêa, Fernando Q., 1957
Gouvêa, Fernando Quadros.
Gouvêa, Fernando Quadros 1957
Quadros Gouvêa, Fernando.
Quadros Gouvêa, Fernando 1957
Languages