Harley Flanders | Academic Influence

Harley Flanders's AcademicInfluence.com Rankings

Harley Flanders

Mathematics

#1629

World Rank

#2630

Historical Rank

#664

USA Rank

Measure Theory

#1503

World Rank

#1874

Historical Rank

#504

USA Rank

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Mathematics

Harley Flanders's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of California, Berkeley

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Why Is Harley Flanders Influential?

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According to Wikipedia, Harley M. Flanders was an American mathematician, known for several textbooks and contributions to his fields: algebra and algebraic number theory, linear algebra, electrical networks, scientific computing.

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Harley Flanders's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Differential Forms with Applications to the Physical Sciences (1964) (620)
Differentiation Under the Integral Sign (1973) (341)
On Spaces of Linear Transformations with Bounded Rank (1962) (91)
Elementary divisors of $AB$ and $BA$ (1951) (63)
On the matrix equations $AX - XB = C$ and $AX - YB = C$ (1977) (60)
Infinite networks: I--Resistive networks (1971) (55)
A Proof of Minkowski's Inequality for Convex Curves (1968) (51)
The Schwarzian as a curvature (1970) (44)
Remark on Mean Curvature (1966) (39)
Development of an extended exterior differential calculus (1953) (31)
Tensor and exterior powers (1967) (24)
An integral formula (1973) (23)
Local theory of affine hypersufaces (1965) (17)
On the Fresnel Integrals (1982) (17)
From Ford to Faà (2001) (17)
Infinite networks: II—Resistance in an infinite grid (1972) (16)
Infinite networks: II—Resistance in an infinite grid (1972) (16)
On the Norm and Spectral Radius (1974) (15)
ON CERTAIN FUNCTIONS WITH POSITIVE DEFINITE HESSIAN (1960) (13)
The Steiner point of a closed hypersurface (1966) (13)
On the maximal power transfer theorem for n-ports (1976) (11)
The norm function of an algebraic field extension. II (1953) (10)
A remark on Kronecker’s theorem on forms (1952) (10)
An extremal problem on the space of positive definite matrices (1975) (10)
Manual for Monthly Authors (1971) (9)
On maximal power transfer (1976) (8)
Removable Singularities of Analytic Functions (1962) (8)
Commutative linear differential operators (1955) (8)
Methods of Proof in Linear Algebra (1956) (8)
Finitely generated modules (1955) (7)
Less than or Equal to an Exercise (1979) (7)
ON FREE EXTERIOR POWERS (1969) (6)
A new proof of R. Foster's averaging formula in networks (1974) (6)
Review: C. von Westenholz, Differential forms in mathematical physics (1979) (5)
Calculus with Analytic Geometry. (1978) (5)
Natural frequencies of cyclic linear networks (1971) (5)
A Further Comment on Pappus (1970) (5)
The Optical Property of the Conics (1968) (5)
Note on maximal power transfer (1985) (5)
Generalization of a Theorem of Ankeny and Rogers (1953) (5)
Analytic Solutions of Matrix Equations (1974) (4)
A Note on the Sylvester-Franke Theorem (1953) (4)
Remarks on Almgren’s interior regularity theorems (1969) (4)
A Tale of Two Squares—and Two Rings (1985) (4)
THE MEANING OF THE FORM CALCULUS IN CLASSICAL IDEAL THEORY (1960) (4)
Application of AD to a family of periodic functions (2000) (4)
Applications of Derivatives (1996) (4)
Scientific Pascal (1983) (3)
Strain limit criteria to predict failure (1995) (3)
Functions not satisfying implicit, polynomial ODE (2007) (3)
Correction to “Differentiation Under the Integral Sign” (1974) (3)
Math Bite: Irrationality of $\sqrt{m}$ (1999) (3)
Methods in affine connection theory (1955) (3)
On Polynomial Matrix Equations (1986) (3)
The Major in Mathematics for Teachers at the University of California (1963) (2)
A Survival Kit for the College Mathematician (1971) (2)
Non-parametric hypersurfaces with bounded curvatures (1968) (2)
Problems for Solution: 5121-5130 (1963) (2)
Satellites of half exact functors, a correction (1964) (2)
Math Bite: Irrationality of (1999) (2)
Solutions of ODEs with Removable Singularities (2006) (2)
Convexity : lectures given by Prof. M.H. Stone, University of Chicago, fall quarter, 1946 (1946) (2)
Positive operators and a problem in control theory (1974) (2)
A first course in calculus with analytic geometry (1973) (2)
A method of general linear frames in Riemannian geometry. I. (1953) (2)
Remarks on Some Putnam Problems (1982) (2)
A remark on Hilbert's Nullstellensatz (1954) (1)
Elementary Problems: E2043,E2095-E2104 (1968) (1)
Plane Analytic Geometry (1978) (1)
Algorithm of The Bi_Month (1987) (1)
Introductory college mathematics;: With linear algebra and finite mathematics (1973) (1)
Algorithm of the Bi_Month: Controlling Roundoff Error in Sums (1987) (1)
Four Panel Talks on Publishing (1975) (1)
Coroutines in Pascal (1983) (1)
Report to the Reader (1957) (1)
Calculus: A Lab Course With Microcalc (1970) (1)
Algorithm of the Bi-Month: Elementary Transcendental Functions (1987) (1)
An extension theorem for solutions of =Ω (1954) (1)
On the Reduction of a Matrix to Diagonal Form (1955) (1)
A second course in calculus (1974) (1)
A Minimal Code List (1999) (1)
Relations on minimal hypersurfaces. (1969) (1)
80.1 Averaging sequences again (1996) (1)
1 – BASIC ALGEBRA (1975) (0)
EXPONENTIALS AND LOGARITHMS (1975) (0)
Techniques of Integration (1978) (0)
Advanced Problems: 6334-6338 (1981) (0)
CHAPTER 9 – VECTORS (1973) (0)
7 – COMPLEX NUMBERS (1975) (0)
iii. Publication Related to Teaching (1975) (0)
Evaluation of stresses in large diameter, thin walled piping at support locations (1992) (0)
Structural Evidences of an Iron-Carbon Eutectoid (0)
Chapter 8 Discrete Mathematics (1996) (0)
Number Fifty-Two (1973) (0)
Study of the Thermodynamics of the Iron-Carbon System in the Austenitic Range. (1954) (0)
EXPONENTIAL AND LOGARITHM FUNCTIONS (1973) (0)
HETEROGENEOUS EQUILIBRIUM BETWEEN CARBON IN IRON AND IN IRON ALLOYS WITH CARBON MONOXIDE AND CARBON DIOXIDE AND WITH HYDROGEN AND WATER VAPOR BETWEEN 700 C AND 1100C. Technical Report 1 (1953) (0)
[no title] (1998) (0)
CHAPTER 6 – TRIGONOMETRIC FUNCTIONS (1973) (0)
Space Geometry and Vectors (1978) (0)
TOPICS IN ALGEBRA (1975) (0)
Chapter 1 Introduction to Pascal (1996) (0)
Chapter 3 Advanced Programming (1996) (0)
Elementary Problems: E1691-E1700 (1964) (0)
6 – TRIGONOMETRIC FUNCTIONS (1975) (0)
Local strains in waste tank deflagration analysis (1993) (0)
Algorithm of the Bi_Month: Parametric Surfaces (1988) (0)
Numerical Mathematics: Introduction to the Constructive Theory of Functions . John Todd. Academic Press, New York, 1963. 127 pp. Illus. $6. (1964) (0)
VECTORS AND MATRICES (1973) (0)
CHAPTER 4 – RATIONAL FUNCTIONS (1973) (0)
Infinite resistive networks (1971) (0)
Polynomial and rational functions (2020) (0)
Power Series Solutions of ODEs (1994) (0)
Chapter 5 Graphics (1996) (0)
1 – Functions and Graphs (1978) (0)
18 – Multiple Integrals (1978) (0)
Elementary Problems: E2133-E2140 (1968) (0)
CHAPTER 14 – COMPLEX NUMBERS (1973) (0)
Chapter 6 Recursive Algorithms (1996) (0)
An Extension Theorem for Solutions of dω = Ω (1954) (0)
Vector Functions and Curves (1978) (0)
Algorithm of the Bi-Month: Drawing the Line Segment Connecting Two Points. (1987) (0)
7 – Inverse Functions (1978) (0)
Algorithm of the Bi-Month: Computing Pi. (1987) (0)
Functions of Several Variables (1978) (0)
Problems for Solution: 5101-5110 (1963) (0)
11 – DISCRETE ALGEBRA (1975) (0)
A Democratic Proof of a Combinatorial Identity (1971) (0)
Exponential and trigonometric functions (2021) (0)
Evaluation of seismic interactions: Guidelines and application (1992) (0)
CHAPTER 3 – POLYNOMIAL FUNCTIONS (1973) (0)
CHAPTER 13 – LINEAR TRANSFORMATIONS (1973) (0)
Functions and Graphs (1996) (0)
Problems for Solution: E1101-E1105 (1954) (0)
Chapter 4 DOS and BIOS (1996) (0)
12 – Power Series (1978) (0)
Applications of Integration (1996) (0)
Math Bite: Irrationality of √ (2009) (0)
Problems for Solution: E1581-E1590 (1963) (0)
Algorithm of the Bi-Month: Drawing a Circle. (1988) (0)
GEOMETRY OF SPACE (1973) (0)
CHAPTER 7 – IDENTITIES AND INVERSE FUNCTIONS (1973) (0)
CHAPTER 10 – ANALYTIC GEOMETRY (1973) (0)
An Identity for Third Order Determinants (1966) (0)
Applications of Differentiation (1978) (0)
EQUATIONS AND INEQUALITIES (1975) (0)
10 – COMPLEX NUMBERS (1975) (0)
Analysis of Calculus Problems. (1972) (0)
3 – FUNCTIONS AND GRAPHS (1975) (0)
A comparison of response spectrum and direct integration analysis methods as applied to a nuclear component support structure. Revision 1 (1992) (0)
Limit analysis of pipe clamps. Revision 1 (1990) (0)
Chapter 9 Applications to Mathematical Analysis (1996) (0)
In-Tank Precipitation (ITP) Structures Summary Report (1994) (0)
17 – Double Integrals (1978) (0)
Higher Partials and Applications (1978) (0)
Problem-Solving through Problems. By Loren C. Larson (1985) (0)
6 – Applications of Integration (1978) (0)
SOLID ANALYTIC GEOMETRY (1973) (0)
Chapter 2 Programming Basics (1996) (0)
Limit analysis of pipe clamps (1990) (0)
An Application of the Vandermonde Determinant (1953) (0)
Problem 11374 (2008) (0)
THE NOVEMBER MEETING IN LOS ANGELES The four hundred eighty-seventh meeting of the American Mathe- (2007) (0)
Problems for Solutions: 5111-5120 (1963) (0)
CHAPTER 8 – TRIGONOMETRY (1973) (0)
92.36 A singular integral (2008) (0)
The effects of friction on component dynamic response (1992) (0)
IDENTITIES AND INVERSE FUNCTIONS (1973) (0)
INDUCTION AND THE BINOMIAL THEOREM (1973) (0)
Problems for Solution: 4653-4657 (1955) (0)
Introduction to the Constructive Theory of Functions. John Todd. Academic Press, New York, 1963. 127 pp. Illus. $6 (1964) (0)
Algorithm of the Bi_Month: Sieving Primes on a Micro (1988) (0)
2815. A theorem of Besicovitch (1958) (0)
6 – TOPICS IN ALGEBRA (1975) (0)
Algorithm of the Bi-Month: Generating Posets (1987) (0)
LINEAR AND QUADRATIC FUNCTIONS (1973) (0)
CHAPTER 12 – COMPLEX NUMBERS (1973) (0)
CHAPTER 1 – FUNCTIONS AND GRAPHS (1973) (0)
CHAPTER 15 – FINITE MATHEMATICS (1973) (0)
Elementary proof of a norm theorem (1952) (0)
Chapter 7 More Algorithms (1996) (0)
Functions and Integrals (1996) (0)

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