Harold Edwards
American mathematician
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Harold Mortimer Edwards, Jr. was an American mathematician working in number theory, algebra, and the history and philosophy of mathematics. He was one of the co-founding editors, with Bruce Chandler, of The Mathematical Intelligencer. He is the author of expository books on the Riemann zeta function, on Galois theory, and on Fermat's Last Theorem. He wrote a book on Leopold Kronecker's work on divisor theory providing a systematic exposition of that work—a task that Kronecker never completed. He wrote textbooks on linear algebra, calculus, and number theory. He also wrote a book of essays on constructive mathematics.
Harold Edwards 's Published Works
Published Works
- Riemann's Zeta Function (1974) (514)
- A normal form for elliptic curves (2007) (445)
- Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (1996) (168)
- The genesis of ideal theory (1980) (74)
- A century of mathematics in America (1988) (74)
- Testing for Equivalence (1995) (66)
- Advanced Calculus: A Differential Forms Approach (1994) (44)
- Essays in Constructive Mathematics (2004) (38)
- Kronecker on the Foundations of Mathematics (1995) (34)
- The background of Kummer's proof of Fermat's last theorem for regular primes (1975) (33)
- A Generalized Sturm Theorem (1964) (32)
- Dedekind's Invention of Ideals (1983) (30)
- Kronecker's Views on the Foundations of Mathematics (1989) (27)
- Courant in Göttingen and New York: By Constance Reid. New York, Heidelberg, Berlin (Springer-Verlag). 1976. 314 pp (1977) (24)
- Postscript to “The background of Kummer's proof ...” (1977) (22)
- An Appreciation of Kronecker (1987) (20)
- Mathematical ideas, ideals, and ideology (1992) (20)
- Euler’s definition of the derivative (2007) (12)
- On the KroneckerNachlass (1978) (7)
- Higher Arithmetic: An Algorithmic Introduction to Number Theory (2008) (7)
- Galois for 21st-Century readers (2012) (6)
- Kronecker’s Algorithmic Mathematics (2009) (6)
- The algorithmic side of Riemann’s mathematics (2010) (5)
- Euler and Quadratic Reciprocity (1983) (5)
- Roots of solvable polynomials of prime degree (2014) (5)
- Introduction to My Book "Essays in Constructive Mathematics" (2005) (5)
- Ernst eduard Kummer. Collected papers: Volume I. Contributions to Number Theory. Edited by André Weil. Berlin-Heidelberg-New York (Springer-Verlag). 1975. 957 p (1977) (5)
- The construction of solvable polynomials (2009) (5)
- Composition of Binary Quadratic Forms and the Foundations of Mathematics (2007) (4)
- Fermat’s Last Theorem for regular primes (1977) (4)
- Kummer, Eisenstein, and Higher Reciprocity Laws (1982) (4)
- A Genetic Introduction to Algebraic Number Theory (2009) (3)
- About the cover: Kummer’s tables (2006) (3)
- Read the Masters (1981) (3)
- Sherlock Holmes in Babylon: Euler and Quadratic Reciprocity (2003) (3)
- Euler’s Conception of the Derivative (2015) (2)
- Linear Algebra (1994) (2)
- A note on Galois theory (1990) (2)
- The theory of binary quadratic forms (2008) (2)
- The Role of History in the Study of Mathematics (2020) (2)
- integration and differentiation (2014) (1)
- Erratum to: Kronecker’s Algorithmic Mathematics (2010) (1)
- Classics of Mathematics. By Ronald Calinger (ed.) (1985) (1)
- Errata to “The construction of solvable polynomials” (2009) (1)
- Similarity of Matrices (1995) (1)
- Kummer and Kronecker (1998) (1)
- Prime obsession; The Music of the Primes; The Riemann Hypothesis (2004) (1)
- practical methods of solution (2014) (1)
- Kummer’s theory of ideal factors (1977) (0)
- Dirichlet’s class number formula (1977) (0)
- The General Theory (1990) (0)
- The Spectral Theorem (1995) (0)
- The RSA cipher system (2008) (0)
- Equivalence of Matrices. Reduction to Diagonal Form (1995) (0)
- The Method of Least Squares (1995) (0)
- Contradict or Construct? (2010) (0)
- Raoul Bott as we knew him (2010) (0)
- The law of quadratic reciprocity (2008) (0)
- Double congruences and the Euclidean algorithm (2008) (0)
- Matrices with Rational Number Entries (1995) (0)
- Applications to the Theory of Algebraic Curves (1990) (0)
- A Theorem of Polynomial Algebra (1990) (0)
- Appendix. Cycles of stable modules (2008) (0)
- further study of limits (1994) (0)
- Composition of binary quadratic forms (2008) (0)
- Modules that become principal when squared (2008) (0)
- Euler’s remarkable discovery (2008) (0)
- Exponentiation and orders (2008) (0)
- Primitive roots \bmod (2008) (0)
- The augmented Euclidean algorithm (2008) (0)
- Tables of indices \bmod (2008) (0)
- Review: Robert L. Long, Algebraic number theory, and Harvey Cohn, A classical invitation to algebraic numbers and class fields, and Daniel A. Marcus, Number fields (1980) (0)
- Abel and the Concept of the Genus of a Curve (2005) (0)
- Finding the order of \bmod (2008) (0)
- Determination of the class number (1977) (0)
- Proof of the theorem of Chapter 19 (2008) (0)
- The fundamental theorem of arithmetic (2008) (0)
- Divisor theory for quadratic integers (1977) (0)
- Euler’s Conception of the Derivative (2015) (0)
- Matrices with Polynomial Entries (1995) (0)
- Modules of hypernumbers (2008) (0)
- The possible signatures for certain values of (2008) (0)
- Book Review: Algebraic number theory (1980) (0)
- Applications to Algebraic Number Theory (1990) (0)
- The main theorem (2008) (0)
- From Euler to Kummer (1977) (0)
- The Role of History in the Study of Mathematics (2019) (0)
- Signatures of equivalence classes (2008) (0)
- Galois for 21 st-Century (2012) (0)
- Brahmagupta’s formula and hypernumbers (2008) (0)
- Equivalence of modules (2008) (0)
- Advanced Calculus.@@@A Formal Background to Mathematics: A Critical Approach to Elementary Analysis. (1982) (0)
- Proof of the Main Theorem (2008) (0)
- A canonical form for modules of hypernumbers (2008) (0)
- Gauss’s theory of binary quadratic forms (1977) (0)
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