Edwards, Harold M.
Overview
Works:  30 works in 263 publications in 6 languages and 6,738 library holdings 

Genres:  History 
Roles:  Author, Editor 
Classifications:  QA247, 512.74 
Publication Timeline
.
Most widely held works about
Harold M Edwards
 Elliptic curve cryptography and the Edwards normal form of elliptic curves by William Harris( )
Most widely held works by
Harold M Edwards
Fermat's last theorem : a genetic introduction to algebraic number theory by
Harold M Edwards(
Book
)
30 editions published between 1977 and 2011 in 3 languages and held by 991 WorldCat member libraries worldwide
30 editions published between 1977 and 2011 in 3 languages and held by 991 WorldCat member libraries worldwide
Riemann's zeta function by
Harold M Edwards(
Book
)
34 editions published between 1974 and 2014 in 4 languages and held by 921 WorldCat member libraries worldwide
34 editions published between 1974 and 2014 in 4 languages and held by 921 WorldCat member libraries worldwide
Advanced calculus : a differential forms approach by
Harold M Edwards(
Book
)
65 editions published between 1969 and 2014 in English and Undetermined and held by 885 WorldCat member libraries worldwide
In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes' theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordable softcover reprint of the 1994 editionpresents the diverse set of topics from which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra, implicit differentiation in higher dimensions using the calculus of differential forms, and the method of Lagrange multipliers in a general but easytouse formulation. There are copious exercises to help guide the reader in testing understanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some of the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vector analysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature; the student fortunate enough to have gone through this book will have a firm grasp of the nature of modern mathematics and a solid framework to continue to more advanced studies. The most important feature ... is that it is funit is fun to read the exercises, it is fun to read the comments printed in the margins, it is fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an excitement and liveliness that show why we are interested in the subject. The American Mathematical Monthly (First Review) An inviting, unusual, highlevel introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, downtoearth but general, geometrically rigorous, entertaining but serious. Remarkable diverse applications, physical and mathematical. The American Mathematical Monthly (1994) Based on the Second Edition
65 editions published between 1969 and 2014 in English and Undetermined and held by 885 WorldCat member libraries worldwide
In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes' theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordable softcover reprint of the 1994 editionpresents the diverse set of topics from which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra, implicit differentiation in higher dimensions using the calculus of differential forms, and the method of Lagrange multipliers in a general but easytouse formulation. There are copious exercises to help guide the reader in testing understanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some of the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vector analysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature; the student fortunate enough to have gone through this book will have a firm grasp of the nature of modern mathematics and a solid framework to continue to more advanced studies. The most important feature ... is that it is funit is fun to read the exercises, it is fun to read the comments printed in the margins, it is fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an excitement and liveliness that show why we are interested in the subject. The American Mathematical Monthly (First Review) An inviting, unusual, highlevel introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, downtoearth but general, geometrically rigorous, entertaining but serious. Remarkable diverse applications, physical and mathematical. The American Mathematical Monthly (1994) Based on the Second Edition
Galois theory by
Harold M Edwards(
Book
)
26 editions published between 1934 and 1998 in 3 languages and held by 755 WorldCat member libraries worldwide
26 editions published between 1934 and 1998 in 3 languages and held by 755 WorldCat member libraries worldwide
A Century of mathematics in America by Peter Durenwith(
Book
)
5 editions published in 1989 in English and held by 589 WorldCat member libraries worldwide
5 editions published in 1989 in English and held by 589 WorldCat member libraries worldwide
Divisor theory by
Harold M Edwards(
Book
)
13 editions published between 1989 and 1990 in English and Undetermined and held by 386 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
13 editions published between 1989 and 1990 in English and Undetermined and held by 386 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
Linear algebra by
Harold M Edwards(
Book
)
18 editions published between 1994 and 2005 in English and held by 352 WorldCat member libraries worldwide
In his new undergraduate textbook, Harold M. Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra. Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computerdominated late 20th century. Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience. Designed for a onesemester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject. Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject
18 editions published between 1994 and 2005 in English and held by 352 WorldCat member libraries worldwide
In his new undergraduate textbook, Harold M. Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra. Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computerdominated late 20th century. Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience. Designed for a onesemester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject. Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject
Higher arithmetic : an algorithmic introduction to number theory by
Harold M Edwards(
Book
)
11 editions published in 2008 in English and held by 350 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 350 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
)
21 editions published between 2004 and 2014 in English and held by 321 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."Jacket
21 editions published between 2004 and 2014 in English and held by 321 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."Jacket
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
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
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
Trip generation and attraction characteristics in small cities by
M. D Harmelink(
Book
)
4 editions published between 1966 and 1967 in English and held by 14 WorldCat member libraries worldwide
4 editions published between 1966 and 1967 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
A study of the generation of person trips by areas in the central business district by
B. C. S Harper(
Book
)
3 editions published in 1960 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1960 in English and held by 12 WorldCat member libraries worldwide
Stora matematiker : från Fibonacci till Wiles by
Ettore Picutti(
Book
)
1 edition published in 2000 in Swedish and held by 5 WorldCat member libraries worldwide
1 edition published in 2000 in Swedish 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
A Century of mathematics in America(
Book
)
2 editions published between 1988 and 1989 in English and held by 4 WorldCat member libraries worldwide
2 editions published between 1988 and 1989 in English and held by 4 WorldCat member libraries worldwide
Aquilino by
Harold M Edwards(
Book
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Duren, Peter L. 1935 Editor
 Merzbach, Uta C. 1933 Editor
 Askey, Richard Editor
 Queen's University Department of Civil Engineering
 Ontario Joint Highway Research Programme
 Vardon, J. L.
 American Mathematical Society
 Harper, G. C.
 Columbia University Department of Mathematics
 Harmelink, M. D. Author
Useful Links
Associated Subjects
Algebra Algebraic number theory Algebras, Linear Calculus Calculus of variations City traffic Computer science Constructive mathematics Cryptography Curves, Elliptic Differential equations Divisor theory Economics Engineering mathematics Fermat's last theorem Fermat's theorem Forms, Quadratic Functional analysis Functions, Zeta Functions of real variables Galois theory Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Logic, Symbolic and mathematical Mathematical analysis Mathematics Number theory Ontario Origin and destination traffic surveys RoadsInterchanges and intersections Sequences (Mathematics) Traffic flow 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.
Harold Edwards Amerikaans wiskundige
Harold Edwards mathématicien américain
Harold Edwards USamerikanischer Mathematiker
Гарольд Эдвардс американский математик
Эдвардс, Г..
Эдвардс, Г. (Гарольд)
هارولد ادواردز
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