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Mathematics Commons™

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Claremont Colleges

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Articles 1651 - 1680 of 1985

Full-Text Articles in Mathematics

Algebra Anyone?, Leslie Jones, Ted Panitz, Walter Burlage Jul 1997

Algebra Anyone?, Leslie Jones, Ted Panitz, Walter Burlage

Humanistic Mathematics Network Journal

No abstract provided.


Abe Shenitzer At 75, Hardy Grant Jul 1997

Abe Shenitzer At 75, Hardy Grant

Humanistic Mathematics Network Journal

No abstract provided.


Illumination And Geometry In Islamic Art, Salma Marani Jul 1997

Illumination And Geometry In Islamic Art, Salma Marani

Humanistic Mathematics Network Journal

No abstract provided.


Curriculum Development Via Literary And Musical Forms, Joel K. Haack Jul 1997

Curriculum Development Via Literary And Musical Forms, Joel K. Haack

Humanistic Mathematics Network Journal

No abstract provided.


A Brief Tribute To Π, J. D. Phillips Jul 1997

A Brief Tribute To Π, J. D. Phillips

Humanistic Mathematics Network Journal

No abstract provided.


Reminiscences Of Paul Erdös (1913-1996), Melvin Henriksen Jul 1997

Reminiscences Of Paul Erdös (1913-1996), Melvin Henriksen

Humanistic Mathematics Network Journal

No abstract provided.


Sand Songs: The Formal Languages Of Warlpiri Iconography, James V. Rauff Jul 1997

Sand Songs: The Formal Languages Of Warlpiri Iconography, James V. Rauff

Humanistic Mathematics Network Journal

No abstract provided.


Al-Khawarizmi's Algebra: The First Paradigm In Algebra, Murad Jurdak Jul 1997

Al-Khawarizmi's Algebra: The First Paradigm In Algebra, Murad Jurdak

Humanistic Mathematics Network Journal

No abstract provided.


See-Duction: How Scientists And Artists Are Creating A Third Way Of Knowing, Howard Levine Jul 1997

See-Duction: How Scientists And Artists Are Creating A Third Way Of Knowing, Howard Levine

Humanistic Mathematics Network Journal

No abstract provided.


Mathematical Rebuses, Arthur V. Johnson Ii Jul 1997

Mathematical Rebuses, Arthur V. Johnson Ii

Humanistic Mathematics Network Journal

No abstract provided.


Book Reviews: Uncommon Sense, By Alan Cromer, And The Physics Of Immortality, By Frank J. Tipler, Harald M. Ness Jul 1997

Book Reviews: Uncommon Sense, By Alan Cromer, And The Physics Of Immortality, By Frank J. Tipler, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.


The First Cams Project: A Humanistic Endeavor, Barbara A. Wainwright, Homer W. Austin Jul 1997

The First Cams Project: A Humanistic Endeavor, Barbara A. Wainwright, Homer W. Austin

Humanistic Mathematics Network Journal

No abstract provided.


Was Newton's Calculus A Dead End? The Continental Influence Of Maclaurin's Treatise Of Fluxions, Judith V. Grabiner May 1997

Was Newton's Calculus A Dead End? The Continental Influence Of Maclaurin's Treatise Of Fluxions, Judith V. Grabiner

Pitzer Faculty Publications and Research

We will show that Maclaurin's Treatise of Fluxions did develop important ideas and techniques and that it did influence the mainstream of mathematics. The Newtonian tradition in calculus did not come to an end in Maclaurin's Britain. Instead, Maclaurin's Treatise served to transmit Newtonian ideas in calculus, improved and expanded, to the Continent. We will look at what these ideas were, what Maclaurin did with them, and what happened to this work afterwards. Then, we will ask what by then should be an interesting question: why has Maclaurin's role been so consistently underrated? Thse questions will involve general matters of …


Diagonal Operators, S-Numbers, And Bernstein Pairs, Asuman Güven Aksoy, Grzegorz Lewicki Jan 1997

Diagonal Operators, S-Numbers, And Bernstein Pairs, Asuman Güven Aksoy, Grzegorz Lewicki

CMC Faculty Publications and Research

Replacing the nested sequence of ''finite" dimensional subspaces by the nested sequence of "closed" subspaces in the classical Bernstein lethargy theorem, we obtain a version of this theorem for the space B(X , Y) of all bounded linear maps. Using this result and some properties of diagonal operators, we investigate conditions under which a suitable pair of Banach spaces form an exact Bernstein pair.We also show that many "classical" Banach spaces, including the couple (Lp [O, 1] , Lq[O, 1]) form a Bernstein pair with respect to any sequence of s-numbers (sn) ,for 1 < p < ∞ and 1 ≤ q < ∞ …


Positive Solution Curves Of Semipositone Problems With Concave Nonlinearities, Alfonso Castro, Sudhasree Gadam, Ratnasingham Shivaji Jan 1997

Positive Solution Curves Of Semipositone Problems With Concave Nonlinearities, Alfonso Castro, Sudhasree Gadam, Ratnasingham Shivaji

All HMC Faculty Publications and Research

We consider the positive solutions to the semilinear equation:

-Δu(x) = λf(u(x)) for x ∈ Ω

u(x) = 0 for x ∈ ∂Ω

where Ω denotes a smooth bounded region in RN (N > 1) and λ > 0. Here f :[0, ∞)→R is assumed to be monotonically increasing, concave and such that f(0) < 0 (semipositone). Assuming that f'(∞) ≡ lim t→∞ f'(t) > 0, we establish the stability and uniqueness of large positive solutions in terms of (f(t)/t)'. When Ω is a ball, we determine the exact number of positive solutions for each λ > 0. We also obtain the geometry of the branches of positive solutions completely and establish how …


The Interaction Of A Point Vortex With A Wall-Bounded Vortex Layer, Oliver V. Atassi, Andrew J. Bernoff, Seth Lichter Jan 1997

The Interaction Of A Point Vortex With A Wall-Bounded Vortex Layer, Oliver V. Atassi, Andrew J. Bernoff, Seth Lichter

All HMC Faculty Publications and Research

The interaction of a point vortex with a layer of constant vorticity, bounded below by a wall and above by an irrotational flow, is investigated as a model of vortex–boundary layer interaction. This model calculates both the evolution of the interface which separates the vortex layer from the irrotational flow and the trajectory of the vortex. In order to determine the conditions which lead to sustained unsteady interaction, three cases are investigated where the mutual interaction between the vortex and interface is initially assumed to be weak. (i) When a weak point vortex lies outside the layer, the vortex moves …


Puzzles, Patterns Drums: The Dawn Of Mathematics In Rwanda And Burundi., D. Huylebrouck Nov 1996

Puzzles, Patterns Drums: The Dawn Of Mathematics In Rwanda And Burundi., D. Huylebrouck

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Emblems Of Mind, The Inner Life Of Music And Mathematics, By Edward Rothstein, Dan Fitzgerald, Joel Haack Nov 1996

Book Review: Emblems Of Mind, The Inner Life Of Music And Mathematics, By Edward Rothstein, Dan Fitzgerald, Joel Haack

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Ethnomathematics: A Multicultural View Of Mathematical Ideas, By Marcia Ascher, Bernadette Anne Berken Nov 1996

Book Review: Ethnomathematics: A Multicultural View Of Mathematical Ideas, By Marcia Ascher, Bernadette Anne Berken

Humanistic Mathematics Network Journal

No abstract provided.


The Folktale: Linking Story To Mathematical Principles, Audrey Kopp Nov 1996

The Folktale: Linking Story To Mathematical Principles, Audrey Kopp

Humanistic Mathematics Network Journal

No abstract provided.


Psychosis, Lee Goldstein Nov 1996

Psychosis, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.


From The Editor, Issue 14, 1996, Alvin White Nov 1996

From The Editor, Issue 14, 1996, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.


What's All The Fuss About?, Sherman K. Stein Nov 1996

What's All The Fuss About?, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.


The Triex: Explore, Extract, Explain, Sherman K. Stein Nov 1996

The Triex: Explore, Extract, Explain, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.


Noesis, Lee Goldstein Nov 1996

Noesis, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.


Music And Mathematics, Roxanne Kitts Nov 1996

Music And Mathematics, Roxanne Kitts

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Emblems Of Mind, The Inner Life Of Music And Mathematics, By Edward Rothstein, Sandra Z. Keith Nov 1996

Book Review: Emblems Of Mind, The Inner Life Of Music And Mathematics, By Edward Rothstein, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.


Mathematical Rebuses, Florentin Smarandache Nov 1996

Mathematical Rebuses, Florentin Smarandache

Humanistic Mathematics Network Journal

No abstract provided.


Fibonacci Melodies, Robert Lewand Nov 1996

Fibonacci Melodies, Robert Lewand

Humanistic Mathematics Network Journal

No abstract provided.


On The Use Of Intelligent Tutoring Systems For Teaching And Learning Mathematics, M.D. C. Mendes, M.G. V. Nunes, C. A. Andreucci Nov 1996

On The Use Of Intelligent Tutoring Systems For Teaching And Learning Mathematics, M.D. C. Mendes, M.G. V. Nunes, C. A. Andreucci

Humanistic Mathematics Network Journal

No abstract provided.