Harley Flanders

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Harley Flanders is an American mathematician, known for several textbooks and contributions to his fields: Algebra and Algebraic Number Theory, Linear Algebra, Electrical Networks, Scientific Computing.

He received his bachelors (1946), masters (1947) and PhD (1949) at the University of Chicago on the dissertation Unification of class field theory advised by Otto Schilling and André Weil.^[1] He held the Bateman Fellowship at Cal Tech. He joined the faculty at University of California at Berkeley, then became professor at Purdue University (1960), Tel Aviv University, 1970 - 77, Visiting Professor at Georgia Tech, 1977-1978, Visiting Scholar Florida Atlantic University 1978-1885, Visiting Scholar University of Michigan, Ann Arbor 1985-1997, Visiting ScholarUniversity of North Florida 1997-2000,, Distinguished Mathematician in Residence Jacksonville University 1997-2000, Visiting Scholar, University of Michigan, Ann Arbor 2000-. ^[2] He was Editor-in-Chief, American Mathematical Monthly, 1969-1973. Flanders also wrote calculus software MicroCalc, ver 1-7 (1975-). ^{[3] [4]}

Contents 1 Awards 2 Books 3 Selected Papers 4 References

[edit] Awards

• MAA Lester R. Ford Award 1969
• NCRIPTAL/EDUCOM Distinguished Software Award 1987
• NCRIPTAL/EDUCOM Distinguished Software Award 1989
• Lifetime Senior Member, IEEE 1998

[edit] Books

• Differential forms, with applications to the physical sciences (1964)
• Calculus (Academic Press, 1970). With [[Justin J. Price] and [Robert R. Korfhage]].
• Elementary functions and analytic geometry (Academic Press, 1973). With Justin Jesse Price
• First course in calculus with analytic geometry (Academic Press, 1974). With Korfhage and Price.
• Introductory college mathematics: With linear algebra and finite mathematics (Academic Press, 1974). With J. J. Price.
• C. Loewner's Lectrues on Continuous Groups, (with M.H. Protter), MIT Press 1971
• Second course in calculus (Academic Press, 1974). With Korfhage and Price.
• Algebra (Academic Press, 1975). With J. J. Price
• Calculus (1985).
• Single-variable calculus ([[Academic Press] (1981)
• Trigonometry (1975). ([[Academic Press] With J. J. Price.
• Pre-calculus mathemathics (1981). ([[Academic Press] With J. J. Price.
• College algebra (1982). ([[Academic Press] With J. J. Price.
• Algebra and trigonometry (1981). ([[Academic Press] With J. J. Price
• Scientific Pascal (1984).^[4]
• Scientific Pascal 2/e (Birkhauser 1996)
• Calculus: A lab course with MicroCalc (Springer-Verlag, 1996).

[edit] Selected Papers

• Elementary Divisors of AB and BA, Proc. Amer. Math. Soc. 2 (1951)
• Generalization of a Theorem of Ankeny and Rogers, Ann. of Math. 57 (1953)
• Development of an Extended Exterior Differential Calculus, Trans. Amer. Math. Soc. 75 (1953)
• On Certain Functions with Positive Definite Hessian, Ann. of Math. 71 (1960)
• Meaning of the Form Calculus in Classical Ideal Theory, Trans. Amer. Math. Soc. 95 (1960)
• On Spaces of Linear Transformations of Bounded Rank, J. London Math. Soc. 37 (1962)
• Satellites of Half Exact Functors, a correction, Proc. Amer. Math. Soc. 15 (1964)
• Local Theory of Affine Hypersurfaces, J. Anal. Math. 15 (1965)
• The Steiner Point of a Closed Hypersurface, Mathematika 13 (1966)
• Tensor and Exterior Powers, J. Algebra 7 (1967)
• Relations on Minimal Hypersurfaces, Pacific J. Math. 29 (1969)
• The Schwarzian as a Curvature, J. Diff. Geom. 4 (1970)
• Infinite Networks I - Resistive Networks, IEEE Trans. Circuit Theory 18 (1971)
• Natural Frequencies of Cyclic Linear Networks (with P.M. Lin), IEEE Trans. Circuit Theory 18 (1971)
• A New Proof of R. Foster's Averaging Theorem, Linear Algebra and its Applications 8 (1974)
• Positive Operators and a Problem in Control Theory, (with Harold Wimmer) Linear Algebra and its Applications 8 (1974)
• An Extremal Problem in the Space of Positive Definite Matrices, linear and Multilinear Algebra 3 (1975)
• On the Maximal Power Transfer Theorem for n-ports, Int. J. of Circuit Theory and Applications 4 (1976)
• On the matrix equations AX - XB = C and AX - YB = C, (with H. Wimmer), SIAM Jour. Math. Anal. 32 (1977)
• Coroutines in Pascal, ACM Sigplan Notices 18 (Dec. l983)
• Automatic differentiation of composite functions, in Griewank, A. and Corliss, G. F., Automatic Differentiation of Algorithms, SIAM, 1991
• A minimal code list (with Herbert Fischer), Theoretical Computer Science 215 (1999)
• Functions not satisfying implicit, polynomial ODE, J Diff Eqs 240:1 (2007

[edit] References