Mathematics Commons^™

Positive Solutions For A Semilinear Elliptic Problem With Critical Exponent, Ismail Ali, Alfonso Castro

All HMC Faculty Publications and Research

No abstract provided in article.

A Mathematician Among The Molasses Barrels: Maclaurin's Unpublished Memoir On Volumes, Judith V. Grabiner

Pitzer Faculty Publications and Research

Suppose we are given a solid of revolution generated by a conic section. Slice out a frustum of the solid [14, diagrams pp. 77, 80]. Then, construct a cylinder, with the same height as the frustum, whose diameter coincides with the diameter of the frustum at the midpoint of its height. What is the difference between the volume of the frustum and the volume of this cylinder? Does this difference depend on where in the solid the frustum is taken?

The beautiful theorems which answer these questions first appear in a 1735 manuscript by Colin Maclaurin (1698–1746). This …

From The Editor, 1996, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Mathematician, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.

Monasticism And Mathematics, John F. Loase

Humanistic Mathematics Network Journal

No abstract provided.

Gresham's Law : Algorithm Drives Out Thought, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.

Using Mathematics Courses In Support Of Humanities In A Liberal Arts Curriculum, M. S. Jagadish

Humanistic Mathematics Network Journal

No abstract provided.

Ode To Numbers, Pablo Neruda

Humanistic Mathematics Network Journal

No abstract provided.

Humanistic Mathematics And The Internet: The Ugly, The Bad, And The Good, Ruth Guthrie, Judy Guthrie

Humanistic Mathematics Network Journal

No abstract provided.

Mixing Calculus, History, And Writing For Liberal Arts Students, W. M. Priestley

Humanistic Mathematics Network Journal

No abstract provided.

On Mathematics In Poetry, John S. Lew

Humanistic Mathematics Network Journal

No abstract provided.

Multicultural Mathematical Ideas: A New Course, Bernadette Anne Berken

Humanistic Mathematics Network Journal

No abstract provided.

A Prandial Dialogue On Abstract Algebra As An Introduction To The Discipline Of Mathematics For Liberal Arts Students, Margaret Holen

Humanistic Mathematics Network Journal

No abstract provided.

The Mathematical Quest For The Perfect Letter, Frank J. Swetz

Humanistic Mathematics Network Journal

No abstract provided.

Personal Reflections On Mathematics And Mathematics Education, Lynn E. Garner

Humanistic Mathematics Network Journal

No abstract provided.

Symmetry: A Link Between Mathematics And Life, Catherine A. Gorini

Humanistic Mathematics Network Journal

No abstract provided.

Life Math, Kathy Hayes

Humanistic Mathematics Network Journal

No abstract provided.

Socrates And The Nonslave-Boy, W. M. Priestley

Humanistic Mathematics Network Journal

No abstract provided.

X-Ette, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

Mentalism, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

Determinants Of The Tournaments, Clifford A. Mccarthy '94, Arthur T. Benjamin

All HMC Faculty Publications and Research

No abstract provided in this article.

Radial Solutions To A Dirichlet Problem Involving Critical Exponents When N=6, Alfonso Castro, Alexandra Kurepa

All HMC Faculty Publications and Research

In this paper we show that, for each λ>0, the set of radially symmetric solutions to the boundary value problem

-Δu(x) = λu(x) + u(x)|u(x)|, x ε B := {x ε R⁶:|x|<1},

u(x) = 0, x ε ∂B

is bounded. Moreover, we establish geometric properties of the branches of solutions bifurcating from zero and from infinity.

Combinatorics And Campus Security, Arthur T. Benjamin

All HMC Faculty Publications and Research

One day I received electronic mail from our director of campus security [Gilbraith 1993]:

"I have a puzzle for you that has practical applications for me. I need to know how many different combinations there are for our combination locks. A lock has 5 buttons. In setting the combination you can use only 1button or as many as 5. Buttons may be pressed simultaneously and / or successively, but the same button cannot be used more than once in the same combination.

I had a student (obviously not a math major) email me that there are only 120 possibilities, but …

Modular Spaces And K-Widths, Asuman Güven Aksoy, Grzegorz Lewicki

CMC Faculty Publications and Research

In this paper, we show that the ball measure of noncompactness of a modular space X_p is equal to the limit of its K -widths when p is a left continuous, s-convex modular function, without any ∆₂-condition. We also obtain a similar result for SF-spaces, when the SF-norm N is uniformly continuous.

Meyer Jerison, 1922-1995, Leonard Gillman, Melvin Henriksen

All HMC Faculty Publications and Research

Memories and biography of mathematician Meyer Jerison (b. November 28, 1922 - d. March 19, 1995).

Complex Dynamics And Multistability In A Damped Harmonic Oscillator With Delayed Negative Feedback, Sue Ann Campbell, Jacques Bélair, Toru Ohira, John Milton

WM Keck Science Faculty Papers

A center manifold reduction and numerical calculations are used to demonstrate the presence of limit cycles, two-tori, and multistability in the damped harmonic oscillator with delayed negative feedback. This model is the prototype of a mechanical system operating with delayed feedback. Complex dynamics are thus seen to arise in very plausible and commonly occurring mechanical and neuromechanical feedback systems.

Tilings In Art And Science, James E, Hall

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics As An Aesthetic Discipline, J. D. Phillips

Humanistic Mathematics Network Journal

No abstract provided.

"Modern Mathematics" At Sonoma State University, C. E. Falbo

Humanistic Mathematics Network Journal

No abstract provided.

Letter Division, Paul J. Tobias

Humanistic Mathematics Network Journal

No abstract provided.