Howard Levi (November 9, 1916 in
New York City – September 11, 2002 in New York City) was an American
mathematician who worked mainly in
algebra and
mathematical education.[1] Levi was very active during the educational reforms in the United States, having proposed several new courses to replace the traditional ones.
At
Wesleyan University he led a group that developed a course of geometry for high school students that treated
Euclidean geometry as a special case of
affine geometry.[5][6] Much of the Wesleyan material was based on his book Foundations of Geometry and Trigonometry.[7]
His book Polynomials, Power Series, and Calculus, written to be a textbook for a first course in
calculus,[8] presented an innovative approach, and received favorable reviews by
Leonard Gillman, who wrote "[...] this book, with its wealth of imaginative ideas, deserves to be better known."[9][10]
Modern Coordinate Geometry: A Wesleyan Experimental Curricular Study (co-authored with C. Robert Clements, Harry Sitomer, et al., for the
School Mathematics Study Group, 1961)
Polynomials, Power Series, and Calculus (Van Nostrand, 1967, 1968)
"The low power theorem for partial differential polynomials". Annals of Mathematics, Second Series, Vol. 46, no. 1 (1945), pp. 113–119.
(LINK)
"A geometric construction of the Dirichlet kernel". Trans. N. Y. Acad. Sci., Volume 36, Issue 7 (1974), Series II, pp. 640–643. Levi Howard (1974). "A Geometric Construction of the Dirichlet Kernel". Transactions of the New York Academy of Sciences. 36 (7 Series II): 640–643.
doi:
10.1111/j.2164-0947.1974.tb03023.x.
"Why Arithmetic Works.", The Mathematics Teacher, Vol. 56, No. 1 (January 1963), pp. 2–7.
(LINK)
"Plane Geometries in Terms of Projections.", Proc. Am. Math. Soc, 1965, Vol. 16, No. 3, pp. 503–511.
(LINK)
"An Algebraic Approach to Calculus.", Trans. N. Y. Acad. Sci., Volume 28, Issue 3 Series II, pp. 375–377, January 1966 Levi Howard (1966). "An Algebraic Approach to Calculus". Transactions of the New York Academy of Sciences. 28 (3 Series II): 375–377.
doi:
10.1111/j.2164-0947.1966.tb02349.x.
"Classroom Notes: Integration, Anti-Differentiation and a Converse to the Mean Value Theorem", Amer. Math. Monthly 74 (1967), no. 5, 585–586.
(LINK)
"Foundations of Geometric Algebra", Rendiconti di Matematica, 1969, Vol. 2, Serie VI, pp. 1–32.
^Bezuszka, S. J. (1965). "Review: Foundations of Geometry and Trigonometry by Howard Levi". The American Mathematical Monthly. 72 (5): 565.
doi:
10.2307/2314158.
JSTOR2314158.
^Chakerian, G. D. (1969). "Review: Topics in Geometry by Howard Levi". The American Mathematical Monthly. 76 (8): 962.
doi:
10.2307/2317992.
JSTOR2317992.
Howard Levi (November 9, 1916 in
New York City – September 11, 2002 in New York City) was an American
mathematician who worked mainly in
algebra and
mathematical education.[1] Levi was very active during the educational reforms in the United States, having proposed several new courses to replace the traditional ones.
At
Wesleyan University he led a group that developed a course of geometry for high school students that treated
Euclidean geometry as a special case of
affine geometry.[5][6] Much of the Wesleyan material was based on his book Foundations of Geometry and Trigonometry.[7]
His book Polynomials, Power Series, and Calculus, written to be a textbook for a first course in
calculus,[8] presented an innovative approach, and received favorable reviews by
Leonard Gillman, who wrote "[...] this book, with its wealth of imaginative ideas, deserves to be better known."[9][10]
Modern Coordinate Geometry: A Wesleyan Experimental Curricular Study (co-authored with C. Robert Clements, Harry Sitomer, et al., for the
School Mathematics Study Group, 1961)
Polynomials, Power Series, and Calculus (Van Nostrand, 1967, 1968)
"The low power theorem for partial differential polynomials". Annals of Mathematics, Second Series, Vol. 46, no. 1 (1945), pp. 113–119.
(LINK)
"A geometric construction of the Dirichlet kernel". Trans. N. Y. Acad. Sci., Volume 36, Issue 7 (1974), Series II, pp. 640–643. Levi Howard (1974). "A Geometric Construction of the Dirichlet Kernel". Transactions of the New York Academy of Sciences. 36 (7 Series II): 640–643.
doi:
10.1111/j.2164-0947.1974.tb03023.x.
"Why Arithmetic Works.", The Mathematics Teacher, Vol. 56, No. 1 (January 1963), pp. 2–7.
(LINK)
"Plane Geometries in Terms of Projections.", Proc. Am. Math. Soc, 1965, Vol. 16, No. 3, pp. 503–511.
(LINK)
"An Algebraic Approach to Calculus.", Trans. N. Y. Acad. Sci., Volume 28, Issue 3 Series II, pp. 375–377, January 1966 Levi Howard (1966). "An Algebraic Approach to Calculus". Transactions of the New York Academy of Sciences. 28 (3 Series II): 375–377.
doi:
10.1111/j.2164-0947.1966.tb02349.x.
"Classroom Notes: Integration, Anti-Differentiation and a Converse to the Mean Value Theorem", Amer. Math. Monthly 74 (1967), no. 5, 585–586.
(LINK)
"Foundations of Geometric Algebra", Rendiconti di Matematica, 1969, Vol. 2, Serie VI, pp. 1–32.
^Bezuszka, S. J. (1965). "Review: Foundations of Geometry and Trigonometry by Howard Levi". The American Mathematical Monthly. 72 (5): 565.
doi:
10.2307/2314158.
JSTOR2314158.
^Chakerian, G. D. (1969). "Review: Topics in Geometry by Howard Levi". The American Mathematical Monthly. 76 (8): 962.
doi:
10.2307/2317992.
JSTOR2317992.