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Physical Sciences and Mathematics Commons

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Claremont Colleges

1997

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Articles 1 - 30 of 44

Full-Text Articles in Physical Sciences and Mathematics

On Multiple Solutions Of A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger Dec 1997

On Multiple Solutions Of A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger

All HMC Faculty Publications and Research

We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.


A Tribute To Karl Menger, Seymour Kass Nov 1997

A Tribute To Karl Menger, Seymour Kass

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Garbage Pizza, Patchwork Quilts, And Math Magic: Stories About Teachers Who Love To Teach And Children Who Love To Learn, By Susan Ohanian, Alvin White Nov 1997

Book Review: Garbage Pizza, Patchwork Quilts, And Math Magic: Stories About Teachers Who Love To Teach And Children Who Love To Learn, By Susan Ohanian, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.


Resource Review: Research On Children's Learning As A Tool To Improve Math And Science Teaching, Cynthia Hudley Nov 1997

Resource Review: Research On Children's Learning As A Tool To Improve Math And Science Teaching, Cynthia Hudley

Humanistic Mathematics Network Journal

No abstract provided.


A Situational Pedagogy For Elementary Mathematics, Vincent Haag Nov 1997

A Situational Pedagogy For Elementary Mathematics, Vincent Haag

Humanistic Mathematics Network Journal

No abstract provided.


Helping Students With Attention Deficit Disorder Succeed In A College Mathematics Class, Pamela E. Matthews Nov 1997

Helping Students With Attention Deficit Disorder Succeed In A College Mathematics Class, Pamela E. Matthews

Humanistic Mathematics Network Journal

No abstract provided.


Reflections Of Glenmount Reform Effort, Gail Black, Ruth Miller Nov 1997

Reflections Of Glenmount Reform Effort, Gail Black, Ruth Miller

Humanistic Mathematics Network Journal

No abstract provided.


The Reform Calculus Debate And The Psychology Of Learning Mathematics, James M. Cargal Nov 1997

The Reform Calculus Debate And The Psychology Of Learning Mathematics, James M. Cargal

Humanistic Mathematics Network Journal

No abstract provided.


Teaching Mathematics Appreciation To Nonscience Majors, Josefina Alvarez Nov 1997

Teaching Mathematics Appreciation To Nonscience Majors, Josefina Alvarez

Humanistic Mathematics Network Journal

No abstract provided.


The Object And The Study Of Mathematics, Pinar Karaca Nov 1997

The Object And The Study Of Mathematics, Pinar Karaca

Humanistic Mathematics Network Journal

No abstract provided.


John Dewey, The Math And Science Standards, And The Workplace, Bernard A. Fleishman Nov 1997

John Dewey, The Math And Science Standards, And The Workplace, Bernard A. Fleishman

Humanistic Mathematics Network Journal

No abstract provided.


Poems, David L. Finn Nov 1997

Poems, David L. Finn

Humanistic Mathematics Network Journal

No abstract provided.


Inspiration In England, Mary Mcdermott Nov 1997

Inspiration In England, Mary Mcdermott

Humanistic Mathematics Network Journal

No abstract provided.


A Course In Mathematical Ethics, Robert P. Webber Nov 1997

A Course In Mathematical Ethics, Robert P. Webber

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Nexus: Architecture And Mathematics, Edited By Kim Williams, Joseph Malkevitch Nov 1997

Book Review: Nexus: Architecture And Mathematics, Edited By Kim Williams, Joseph Malkevitch

Humanistic Mathematics Network Journal

No abstract provided.


Book Review: Ethnomathematics--Challenging Eurocentrism Inmathematics Education, Edited Byarthur B. Powell And Marilyn Frankenstein, Karen Dee Michalowicz Nov 1997

Book Review: Ethnomathematics--Challenging Eurocentrism Inmathematics Education, Edited Byarthur B. Powell And Marilyn Frankenstein, Karen Dee Michalowicz

Humanistic Mathematics Network Journal

No abstract provided.


Borsuk-Ulam Implies Brouwer: A Direct Construction, Francis E. Su Nov 1997

Borsuk-Ulam Implies Brouwer: A Direct Construction, Francis E. Su

All HMC Faculty Publications and Research

No abstract provided in this article.


A Sign-Changing Solution For A Superlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger Oct 1997

A Sign-Changing Solution For A Superlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger

All HMC Faculty Publications and Research

We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is bounded below by the sum of the two lesser levels of the one-sign solutions. If nondegenerate, the one sign solutions are of Morse index 1 and the signchanging solution has Morse index 2. Our results extend and complement those of Z.Q. Wang [12].


Quasi-Steady Monopole And Tripole Attractors In Relaxing Vortices, Louis F. Rossi, Joseph F. Lingevitch, Andrew J. Bernoff Aug 1997

Quasi-Steady Monopole And Tripole Attractors In Relaxing Vortices, Louis F. Rossi, Joseph F. Lingevitch, Andrew J. Bernoff

All HMC Faculty Publications and Research

Using fully nonlinear simulations of the two-dimensional Navier–Stokes equations at large Reynolds number (Re), we bracket a threshold amplitude above which a perturbed Gaussian monopole will relax to a quasi-steady, rotating tripole, and below which will relax to an axisymmetric monopole. The resulting quasi-steady structures are robust to small perturbations. We propose a means of measuring the decay rate of disturbances to asymptotic vortical structures wherein streamlines and lines of constant vorticity correspond in some rotating or translating frame. These experiments support the hypothesis that small or moderate deviations from asymptotic structures decay through inviscid and viscous mixing.


What Kind Of Thing Is A Number?: A Talk With Reuben Hersh, Reuben Hersh Jul 1997

What Kind Of Thing Is A Number?: A Talk With Reuben Hersh, Reuben Hersh

Humanistic Mathematics Network Journal

No abstract provided.


Math Lingo Vs. Plain English: Multiple Entendre, Stephen I. Brown Jul 1997

Math Lingo Vs. Plain English: Multiple Entendre, Stephen I. Brown

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.


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.


Book Review: The Crest Of The Peacock: Non-European Roots Of Mathematics,By George Gheverghese Joseph, Bernadette Anne Berken Jul 1997

Book Review: The Crest Of The Peacock: Non-European Roots Of Mathematics,By George Gheverghese Joseph, Bernadette Anne Berken

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.


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.


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.