Edwards, Harold M.
Overview
Works:  57 works in 313 publications in 6 languages and 6,806 library holdings 

Genres:  History 
Roles:  Author, Editor 
Publication Timeline
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Most widely held works about
Harold M Edwards
 "No, NOE, No" : the Cicero riot story by Harold M Edwards( Book )
 Elliptic curve cryptography and the Edwards normal form of elliptic curves by William Harris( )
Most widely held works by
Harold M Edwards
Riemann's zeta function by
Harold M Edwards(
Book
)
36 editions published between 1974 and 2017 in 4 languages and held by 919 WorldCat member libraries worldwide
36 editions published between 1974 and 2017 in 4 languages and held by 919 WorldCat member libraries worldwide
Advanced calculus : a differential forms approach by
Harold M Edwards(
Book
)
61 editions published between 1969 and 2014 in English and Undetermined and held by 869 WorldCat member libraries worldwide
My first book had a perilous childhood. With this new edition, I hope it has reached a secure middle age. The book was born in 1969 as an "innovative text book"A breed everyone claims to want but which usu ally goes straight to the orphanage. My original plan had been to write a small supplementary textbook on differen tial forms, but overly optimistic publishers talked me out of this modest intention and into the wholly unrealistic ob jective (especially unrealistic for an unknown 30yearold author) of writing a fullscale advanced calculus course that would revolutionize the way advanced calculus was taught and sell lots of books in the process. I have never regretted the effort that I expended in the pursuit of this hopeless dream{}nly that the book was published as a textbook and marketed as a textbook, with the result that the case for differential forms that it tried to make was hardly heard. It received a favorable tele graphic review of a few lines in the American Mathematical Monthly, and that was it. The only other way a potential reader could learn of the book's existence was to read an advertisement or to encounter one of the publisher's sales men. Ironically, my subsequent booksRiemann :S Zeta Function, Fermat:S Last Theorem and Galois Theorysold many more copies than the original edition of Advanced Calculus, even though they were written with no commer cial motive at all and were directed to a narrower group of readers
61 editions published between 1969 and 2014 in English and Undetermined and held by 869 WorldCat member libraries worldwide
My first book had a perilous childhood. With this new edition, I hope it has reached a secure middle age. The book was born in 1969 as an "innovative text book"A breed everyone claims to want but which usu ally goes straight to the orphanage. My original plan had been to write a small supplementary textbook on differen tial forms, but overly optimistic publishers talked me out of this modest intention and into the wholly unrealistic ob jective (especially unrealistic for an unknown 30yearold author) of writing a fullscale advanced calculus course that would revolutionize the way advanced calculus was taught and sell lots of books in the process. I have never regretted the effort that I expended in the pursuit of this hopeless dream{}nly that the book was published as a textbook and marketed as a textbook, with the result that the case for differential forms that it tried to make was hardly heard. It received a favorable tele graphic review of a few lines in the American Mathematical Monthly, and that was it. The only other way a potential reader could learn of the book's existence was to read an advertisement or to encounter one of the publisher's sales men. Ironically, my subsequent booksRiemann :S Zeta Function, Fermat:S Last Theorem and Galois Theorysold many more copies than the original edition of Advanced Calculus, even though they were written with no commer cial motive at all and were directed to a narrower group of readers
Galois theory by
Harold M Edwards(
Book
)
27 editions published between 1934 and 1998 in 3 languages and held by 752 WorldCat member libraries worldwide
27 editions published between 1934 and 1998 in 3 languages and held by 752 WorldCat member libraries worldwide
A Century of mathematics in America by Peter Durenwith(
Book
)
5 editions published in 1989 in English and held by 588 WorldCat member libraries worldwide
5 editions published in 1989 in English and held by 588 WorldCat member libraries worldwide
Divisor theory by
Harold M Edwards(
Book
)
14 editions published between 1989 and 1990 in English and Undetermined and held by 383 WorldCat member libraries worldwide
Man sollte weniger danach streben, die Grenzen der mathe matischen Wissenschaften zu erweitern, als vielmehr danach, den bereits vorhandenen Stoff aus umfassenderen Gesichts punkten zu betrachten  E. Study Today most mathematicians who know about Kronecker's theory of divisors know about it from having read Hermann Weyl's lectures on algebraic number theory [We], and regard it, as Weyl did, as an alternative to Dedekind's theory of ideals. Weyl's axiomatization of what he calls "Kronecker's" theory is builtas Dedekind's theory was builtaround unique factor ization. However, in presenting the theory in this way, Weyl overlooks one of Kronecker's most valuable ideas, namely, the idea that the objective of the theory is to define greatest com mon divisors, not to achieve factorization into primes. The reason Kronecker gave greatest common divisors the primary role is simple: they are independent of the ambient field while factorization into primes is not. The very notion of primality depends on the field under considerationa prime in one field may factor in a larger fieldso if the theory is founded on factorization into primes, extension of the field entails a completely new theory. Greatest common divisors, on the other hand, can be defined in a manner that does not change at all when the field is extended (see {sect}1.16). Only after he has laid the foundation of the theory of divisors does Kronecker consider factorization of divisors into divisors prime in some specified field
14 editions published between 1989 and 1990 in English and Undetermined and held by 383 WorldCat member libraries worldwide
Man sollte weniger danach streben, die Grenzen der mathe matischen Wissenschaften zu erweitern, als vielmehr danach, den bereits vorhandenen Stoff aus umfassenderen Gesichts punkten zu betrachten  E. Study Today most mathematicians who know about Kronecker's theory of divisors know about it from having read Hermann Weyl's lectures on algebraic number theory [We], and regard it, as Weyl did, as an alternative to Dedekind's theory of ideals. Weyl's axiomatization of what he calls "Kronecker's" theory is builtas Dedekind's theory was builtaround unique factor ization. However, in presenting the theory in this way, Weyl overlooks one of Kronecker's most valuable ideas, namely, the idea that the objective of the theory is to define greatest com mon divisors, not to achieve factorization into primes. The reason Kronecker gave greatest common divisors the primary role is simple: they are independent of the ambient field while factorization into primes is not. The very notion of primality depends on the field under considerationa prime in one field may factor in a larger fieldso if the theory is founded on factorization into primes, extension of the field entails a completely new theory. Greatest common divisors, on the other hand, can be defined in a manner that does not change at all when the field is extended (see {sect}1.16). Only after he has laid the foundation of the theory of divisors does Kronecker consider factorization of divisors into divisors prime in some specified field
Higher arithmetic : an algorithmic introduction to number theory by
Harold M Edwards(
Book
)
11 editions published in 2008 in English and held by 355 WorldCat member libraries worldwide
"Higher Arithmetic explains number theory in a way that gives deductive reasoning, including algorithms and computations, the central role. Handson experience with the application of algorithms to computational examples enables students to master the fundamental ideas of basic number theory. This is a worthwhile goal for any student of mathematics and an essential one for students interested in the modern applications of number theory."Jacket
11 editions published in 2008 in English and held by 355 WorldCat member libraries worldwide
"Higher Arithmetic explains number theory in a way that gives deductive reasoning, including algorithms and computations, the central role. Handson experience with the application of algorithms to computational examples enables students to master the fundamental ideas of basic number theory. This is a worthwhile goal for any student of mathematics and an essential one for students interested in the modern applications of number theory."Jacket
Essays in constructive mathematics by
Harold M Edwards(
Book
)
25 editions published between 2004 and 2014 in English and Undetermined and held by 340 WorldCat member libraries worldwide
"This book aims to promote constructive mathematics not by defining it or formalizing it, but by practicing it, by basing all definitions and proofs on finite algorithms. The topics covered derive from classic works of nineteenthcentury mathematics, among them Galois's theory of algebraic equations, Gauss's theory of binary quadratic forms, and Abel's theorem about integrals of rational differentials on algebraic curves. Other topics covered include the fundamental theorem of algebra, the factorization of polynomials over an algebraic number field, and the spectral theorem for symmetric matrices."Résumé de l'éditeur
25 editions published between 2004 and 2014 in English and Undetermined and held by 340 WorldCat member libraries worldwide
"This book aims to promote constructive mathematics not by defining it or formalizing it, but by practicing it, by basing all definitions and proofs on finite algorithms. The topics covered derive from classic works of nineteenthcentury mathematics, among them Galois's theory of algebraic equations, Gauss's theory of binary quadratic forms, and Abel's theorem about integrals of rational differentials on algebraic curves. Other topics covered include the fundamental theorem of algebra, the factorization of polynomials over an algebraic number field, and the spectral theorem for symmetric matrices."Résumé de l'éditeur
A Century of mathematics in America(
Book
)
3 editions published in 1989 in English and held by 25 WorldCat member libraries worldwide
3 editions published in 1989 in English and held by 25 WorldCat member libraries worldwide
Some factors affecting merging traffic on the outer ramps of highway interchanges by
Harold M Edwards(
Book
)
4 editions published in 1968 in English and held by 17 WorldCat member libraries worldwide
A report of an Investigation conducted in the Dept. of Civil Engineering Queen's University in cooperation with the Dept. of Highways of Ontario as a part of the Ontario Joint Highway Research Programme
4 editions published in 1968 in English and held by 17 WorldCat member libraries worldwide
A report of an Investigation conducted in the Dept. of Civil Engineering Queen's University in cooperation with the Dept. of Highways of Ontario as a part of the Ontario Joint Highway Research Programme
Introduction to my book "Essays in constructive mathematics"(
)
1 edition published in 2006 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 16 WorldCat member libraries worldwide
Abel and the concept of the genus of a curve(
)
1 edition published in 2006 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 16 WorldCat member libraries worldwide
Trip generation and attraction characteristics in small cities by
M. D Harmelink(
Book
)
3 editions published in 1966 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 1966 in English and held by 14 WorldCat member libraries worldwide
A study of the generation of person trips by areas in the central business district by
B. C. S Harper(
Book
)
4 editions published in 1960 in English and held by 14 WorldCat member libraries worldwide
4 editions published in 1960 in English and held by 14 WorldCat member libraries worldwide
Poslednjaja teorema Ferma : genetičeskoe vvedenie v algebraičeskuju teoriju čisel by
Harold M Edwards(
Book
)
6 editions published in 1980 in Russian and Undetermined and held by 13 WorldCat member libraries worldwide
6 editions published in 1980 in Russian and Undetermined and held by 13 WorldCat member libraries worldwide
Vehicle speeds on Ontario highways by
Harold M Edwards(
Book
)
3 editions published in 1958 in English and held by 11 WorldCat member libraries worldwide
3 editions published in 1958 in English and held by 11 WorldCat member libraries worldwide
Stora matematiker : från Fibonacci till Wiles by
Ettore Picutti(
Book
)
2 editions published in 2000 in Swedish and held by 6 WorldCat member libraries worldwide
2 editions published in 2000 in Swedish and held by 6 WorldCat member libraries worldwide
A study of the effects of chemicals and abrasives in snow and ice removal from highways by
Harold M Edwards(
Book
)
3 editions published in 1963 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1963 in English and held by 5 WorldCat member libraries worldwide
A generalized Sturm theorem by
Harold M Edwards(
Book
)
3 editions published between 1962 and 1963 in English and held by 5 WorldCat member libraries worldwide
3 editions published between 1962 and 1963 in English and held by 5 WorldCat member libraries worldwide
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Related Identities
 Duren, Peter L. 1935 Author Editor
 Merzbach, Uta C. 1933 Editor
 Askey, Richard Editor
 Ontario Joint Highway Research Programme
 Queen's University Department of Civil Engineering
 Queen's University (Kingston, Ont.). Department of Civil Engineering
 Vardon, J. L.
 American Mathematical Society
 Columbia University Department of Mathematics
 Harmelink, M. D. Author
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Associated Subjects
Abrasives African Americans Algebra AutomobilesSpeed Calculus Calculus of variations City traffic Constructive mathematics Cryptography Curves, Elliptic Deicing chemicals Differential equations Divisor theory Edwards family Forms, Quadratic Functional analysis Functions, Zeta Functions of real variables Galois theory Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) IllinoisCicero Logic, Symbolic and mathematical Mathematical analysis Mathematics Number theory Ontario OntarioToronto Origin and destination traffic surveys Riots RoadsInterchanges and intersections RoadsSnow and ice control Sequences (Mathematics) Traffic flow Traffic surveys Trip generation United States
Alternative Names
Èdvards, G.
Edwards, H. M.
Edwards, H. M. 1936
Edwards, H. M. (Harold M.)
Edwards, Harold 1936
Edwards, Harold M.
Edwards, Harold Mortimer
Harold Edwards Amerikaans wiskundige
Harold Edwards matemático estadounidense
Harold Edwards matematico statunitense
Harold Edwards mathématicien américain
Harold Edwards USamerikanischer Mathematiker
Гарольд Эдвардс американский математик
Эдвардс, Г..
Эдвардс, Г. (Гарольд)
هارولد ادواردز
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