Harley Flanders is an American mathematician, known for several textbooks and contributions to his fields: algebra and algebraic number theory

Algebraic number theory

Algebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization,...

, linear algebra

Linear algebra

Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another. Such functions are called linear maps and can be represented by matrices if a basis is given. Thus matrix theory is often...

, electrical network

Electrical network

An electrical network is an interconnection of electrical elements such as resistors, inductors, capacitors, transmission lines, voltage sources, current sources and switches. An electrical circuit is a special type of network, one that has a closed loop giving a return path for the current...

s, scientific computing.

He received his bachelors (1946), masters (1947) and PhD (1949) at the University of Chicago

University of Chicago

The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...

 on the dissertation Unification of class field theory advised by Otto Schilling

Otto Schilling

Otto Franz Georg Schilling was a German-American mathematician known for his work in algebra.He was born in Apolda and studied in the 1930s with the Universität Jena the Universität Göttingen under Emmy Noether, and the Marburg University, where he in 1934 obtained a Ph.D...

 and André Weil

André Weil

André Weil was an influential mathematician of the 20th century, renowned for the breadth and quality of his research output, its influence on future work, and the elegance of his exposition. He is especially known for his foundational work in number theory and algebraic geometry...

.
He held the Bateman Fellowship at Caltech. He joined the faculty at University of California at Berkeley, then became professor at Purdue University

Purdue University

Purdue University, located in West Lafayette, Indiana, U.S., is the flagship university of the six-campus Purdue University system. Purdue was founded on May 6, 1869, as a land-grant university when the Indiana General Assembly, taking advantage of the Morrill Act, accepted a donation of land and...

 (1960), and was with the faculty at Tel Aviv University

Tel Aviv University

Tel Aviv University is a public university located in Ramat Aviv, Tel Aviv, Israel. With nearly 30,000 students, TAU is Israel's largest university.-History:...

 (1970–77),
visiting professor at Georgia Tech (1977–78), visiting scholar at Florida Atlantic University

Florida Atlantic University

Florida Atlantic University, also referred to as FAU or Florida Atlantic, is a public, coeducational, research university located in , United States. The university has six satellite campuses located in the Florida cities of Dania Beach, Davie, Fort Lauderdale, Jupiter, Port St. Lucie, and in Fort...

 (1978–85), University of Michigan, Ann Arbor (1985–97, 2000–), University of North Florida

University of North Florida

The University of North Florida is a public university located in Jacksonville, Florida. A member institution of the State University System of Florida, the university is accredited by the Commission on Colleges of the Southern Association of Colleges and Schools to award baccalaureate, master’s...

 (1997–2000) and, distinguished mathematician in residence at Jacksonville University

Jacksonville University

Jacksonville University is a private university in Jacksonville, Florida, on the banks of the St. Johns River. The school was founded in 1934 as a two year college and was known as Jacksonville Junior College until 1958, when it shifted its focus to four-year university degrees and adopted its...

 (1997–2000). He was Editor-in-Chief, American Mathematical Monthly, 1969–1973. Flanders also wrote calculus software MicroCalc, ver 1–7 (1975–).

Awards

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

Books

• Differential forms, with applications to the physical sciences (1964)
• Calculus (Academic Press
  Academic Press
  Academic Press is an academic book publisher. Originally independent, it was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier....
  
  , 1970). With Justin Jesse Price
  Justin Jesse Price
  Justin Jesse Price is an American mathematician, known for several textbooks and contributions to his field.His Ph.D. dissertation at the University of Pennsylvania was I. Some Duality Theorems II...
  
   and Robert R. Korfhage
  Robert R. Korfhage
  Robert Roy Korfhage was an American computer scientist, famous for his contributions to information retrieval and several textbooks....
  
  .
• Elementary functions and analytic geometry (Academic Press, 1973). With 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 Price.
• C. Loewner's Lectures on Continuous Groups, (MIT Press
  MIT Press
  The MIT Press is a university press affiliated with the Massachusetts Institute of Technology in Cambridge, Massachusetts .-History:...
  
  , 1971). With Murray H. Protter
  Murray H. Protter
  Murray Harold Protter was an American mathematician and educator, known for his contributions to the theory of partial differential equations, as well as his well-selling textbooks in Calculus....
  
  .
• Second course in calculus (Academic Press, 1974). With Korfhage and Price.
• Algebra (Academic Press, 1975). With Price
• Calculus (1985).
• Single-variable calculus (Academic Press, 1981)
• Trigonometry (Academic Press, 1975). With Price.
• Pre-calculus mathematics (Academic Press, 1981). With Price.
• College algebra (Academic Press, 1982). With Price.
• Algebra and trigonometry (Academic Press, 1981). With Price
• Scientific Pascal (1984).
• Scientific Pascal 2/e (Birkhauser 1996)
• Calculus: A lab course with MicroCalc (Springer-Verlag, 1996).

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 (December 1983)
• 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)