


default search action
The American Mathematical Monthly, Volume 108
Volume 108, Number 1, January 2001
- William E. Kirwan:

Mathematics Departments in the 21st Century: Role, Relevance, and Responsibility. 1-9 - David Garber, Boaz Tsaban:

A Mechanical Derivation of the Area of the Sphere. 10-15 - David J. Aldous:

Reorganizing Large Web Sites. 16-27 - Dean Alvis, Michael K. Kinyon:

Birkhoff's Theorem for Panstochastic Matrices. 28-37 - Chaim Goodman-Strauss:

Compass and Straightedge in the Poincaré Disk. 38-49 - Eric Schechter:

Constructivism Is Difficult. 50-54
- Ira M. Gessel:

The Smith College Diploma Problem. 55-57 - William C. Waterhouse:

Cochran's Theorem for Rings. 58-59 - Andrew J. Simoson:

The Tumbling Tetrahedron. 59-63 - David Eppstein:

Tangent Spheres and Triangle Centers. 63-66 - Marc Noy:

Acyclic and Totally Cyclic Orientations in Planar Graphs. 66-68 - Takayuki Furuta:

The Hölder-McCarthy and the Young Inequalities Are Equivalent for Hilbert Space Operators. 68-69
- John Stillwell:

Modular Miracles. 70-76
- Nick MacKinnon:

Problem 10844. 77 - Ciprian Demeter:

Problem 10845. 77 - Józef H. Przytycki:

Problem 10846. 77 - Robin Chapman, Kimmo Eriksson, Richard P. Stanley:

Problem 10847. 77 - Kenneth B. Stolarsky:

Problem 10848. 77 - Richard Bagby:

Problem 10849. 78 - Wolfdieter Lang:

Problem 10850. 78
- David M. Bradley, Steve Levandosky, Amram Meir:

Series and Integral Trial Conditions: 10642. 78-79 - Fred Galvin, Stephen C. Locke, Sung Soo Kim, David Callan:

A Generalization of Hall's Theorem: 10701. 79-80 - Florian Luca, Francis B. Coghlan:

Can Two Consecutive Numbers Both Be Perfect?: 10711. 80-81 - Jet Wimp, Thomas Hermann:

A Determinant with Polynomial Entries: 10714. 81 - Michael L. Catalano-Johnson, Daniel E. Loeb, John Beebee:

A Cubical Gift: 10716. 81-82 - Sung Soo Kim, Mark D. Meyerson:

When a Sum of Functions Is Increasing: 10768. 82 - Wu Wei Chao, Daniele Donini:

Concurrent Lines in a Cyclic Quadrilateral: 10783. 83 - Leroy Quet, Reiner Martin, Otto Ruehr:

A Zeta Function Series: 10786. 84
- William G. McCallum:

Calculus Mysteries and Thrillers by R. Grant Woods; How to Ace Calculus: The Streetwise Guide by Colin Adams; Joel Hass; Abigail Thompson. 90-93
Volume 108, Number 2, February 2001
- Henry L. Alder:

Yueh-Gin Gung and Dr. Charles Y. Hu Award to Manuel P. Berriozábal for Distinguished Service to Mathematics. 97-99 - Duane W. DeTemple, Matthew Hudelson:

Square-Banded Polygons and Affine Regularity. 100-114 - Peter D. Lax:

Change of Variables in Multiple Integrals II. 115-119 - Adam Korányi:

Around the Finite-Dimensional Spectral Theorem. 120-125 - William Müller:

Reform Now, before It's Too Late! 126-143 - H. Turgay Kaptanoglu:

In Praise of y = xα sin. 144-150
- Jean B. Lasserre, Konstantin Avrachenkov:

The Multi-Dimensional Version of ∫b a xp dx. 151-154 - Sibylle Zeller, Maximilian Thaler:

Almost Sure Escape from the Unit Interval under the Logistic Map. 155-158 - Robert Geretschläger, Walther Janous:

Generalized Rearrangement Inequalities. 158-165 - Seannie Dar, Shay Gueron:

A Weighted Erdös-Mordell Inequality. 165-168 - Jan J. Dijkstra:

A Four-Point Set That Cannot Be Split. 168-170
- David Beckwith:

Problem 10851. 171 - Calin Popescu:

Problem 10852. 171 - Stevo Stevic:

Problem 10853. 171 - Wu Wei Chao:

Problem 10854. 171 - Ernesto Bruno Cossi:

Problem 10855. 171 - Andrei Jorza:

Problem 10856. 172 - Harold G. Diamond:

Problem 10857. 172
- Emeric Deutsch, Murray S. Klamkin, Denis Constales:

Counting the Solutions: 10540. 172-173 - David M. Bloom, Stephen M. Gagola Jr.:

Dirichlet Knew It All along: 10718. 174 - Richard F. McCoart, Lyle Ramshaw:

More Balls in Urns: 10722. 174-176 - Christopher J. Hillar, Heinz-Jürgen Seiffert:

Two Sums That Are Congruent Modulo p: 10723. 176 - Andrei Jorza, O. P. Lossers:

Maximum of a Polynomial on the Unit Circle: 10779. 177 - Antal Fekete, Gary Martin:

Squared Series Yielding Integers: 10791. 177-178 - Edward Newman, Li Zhou:

A Mean Inequality: 10798. 178
Volume 108, Number 3, March 2001
- Frank Morgan:

Proof of the Double Bubble Conjecture. 193-205 - Paul R. Wolfson:

The Crooked Made Straight: Roberval and Newton on Tangents. 206-216 - David Spring:

Solution of a Calculus Problem on Minimal Volume. 217-221 - Dirk Huylebrouck:

Similarities in Irrationality Proofs for π, ln2, ζ(2), and ζ (3). 222-231 - Lidia Aceto, Donato Trigiante:

The Matrices of Pascal and Other Greats. 232-245 - Graham Byrnes, Grant Cairns, Barry Jessup:

Leftovers from the Ham Sandwich Theorem. 246-249
- Patrick Martinez:

Some New Irrational Decimal Fractions. 250-253 - Pantelis A. Damianou:

Monic Polynomials in Z[x] with Roots in the Unit Disc. 253-257 - Egon Scheffold:

Pythagorean Triples of Polygonal Numbers. 257-258 - Hans J. H. Tuenter:

A Symmetry of Power Sum Polynomials and Bernoulli Numbers. 258-261 - Paul Yiu:

Heronian Triangles Are Lattice Triangles. 261-263
- Vladimir P. Vizgin:

On the Emotional Assumptions without Which One Could Not Effectively Investigate the Laws of Nature. 264-270
- Donald E. Knuth:

Problem 10858. 271 - Roland Bacher:

Problem 10859. 271 - Emeric Deutsch:

Problem 10860. 271 - Sung Soo Kim:

Problem 10861. 271 - Wu Wei Chao:

Problem 10862. 271 - Leroy Quet:

Problem 10863. 272 - Calin Popescu:

Problem 10864. 272
- Vasile Mihai, Michael Woltermann:

The Smoothest and Roughest Permutations: 10725. 272-273 - Jean Anglesio, O. P. Lossers:

Periods from Sums of Powers: 10727. 273 - M. N. Deshpande, John H. Lindsey II:

The Total Length of Short Cycles of a Random Permutation: 10732. 273-274 - Hassan Ali Shah Ali, et al.:

Getting the Same Weighted Average Two Ways: 10737. 274 - Tim Keller, Javier Cilleruelo:

Squares with Four Equal Digits in an Even Base: 10741. 275 - Juan Arias de Reyna, Robin Chapman:

The Square of a Random Determinant: 10787. 275-277 - Harold G. Diamond, Ferrell S. Wheeler:

A Convolution Formula for the Dickman Function: 10792. 277-278 - Curtis Herink, Gary Gruenhage, et al.:

Finite Subcovers for Open Covers with Exact Cardinality: 10799. 278
Volume 108, Number 4, April 2001
- Rajendra Bhatia:

Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities. 289-318 - R. Shail:

A Proof of Thébault's Theorem. 319-325 - John H. Hubbard, Samer S. Habre, Beverly H. West:

The Convergence of an Euler Approximation of an Initial Value Problem Is Not Always Obvious. 326-335 - Garret Sobczyk:

The Missing Spectral Basis in Algebra and Number Theory. 336-346 - Rachel Wells Hall, Kresimir Josic:

The Mathematics of Musical Instruments. 347-357
- Holger Schellwat:

A Simple Slide Rule for Finite Fields. 358-360 - Razvan A. Satnoianu:

A General Method for Establishing Geometric Inequalities in a Triangle. 360-364 - Jesus Munarriz Aldaz, Ana Bravo, S. Gutiérrez, A. Ubis:

A Theorem of D. J. Newman on Euler's φ Function and Arithmetic Progressions. 364-367 - Liu Wen:

A Counterexample for the Two-Dimensional Density Function. 367-368 - N. S. Astapov, N. C. Noland:

The Remarkable Tetron. 368-370
- David Beckwith:

Problem 10865. 371 - Jerry Kazdan, Herbert S. Wilf:

Problem 10866. 371 - Óscar Ciaurri Ramirez:

Problem 10867. 371 - M. N. Deshpande, A. V. Kharashikar:

Problem 10868. 371 - Lenny Jones:

Problem 10869. 372 - Hugh L. Montgomery, Ulrike M. A. Vorhauer:

Problem 10870. 372 - Donald E. Knuth:

Problem 10871. 372
- Titu Andreescu, Gilbert N. Lewis:

Preserving the Sum of Three Cubes: 10728. 372-373 - Gustavus J. Simmons, John Henry Steelman, O. P. Lossers, et al.:

A Congruence for Pascal Triangular Matrices: 10735. 373-374 - Mizan R. Khan:

An Optimization with a Modular Constraint: 10736. 374-375 - Charles Vanden Eynden, Jerrold W. Grossman:

Distinguishing between the Partite Sets of a Bipartite Graph: 10740. 375 - Emre Alkan, Stephen M. Gagola Jr.:

The Maximal Property for Finite Groups: 10742. 375-376 - Calin Popescu, O. P. Lossers:

Comparing a Sum over Quadratic Residues and Nonresidues: 10743. 376-377 - Jiro Fukuta:

Not Quite a Theorem on Quadrilaterals: 10755. 377-378 - Achilleas Sinefakopoulos, Daniele Donini:

Cirumscribing an Inscribed Quadrilateral: 10804. 378
Volume 108, Number 5, May 2001
- Constance Reid:

The Alternative Life of E. T. Bell. 393-402 - Peter Lindqvist, Jaak Peetre:

Two Remarkable Identities, Called Twos, for Inverses to Some Abelian Integrals. 403-410 - Judy Kennedy, Sahin Koçak, James A. Yorke:

A Chaos Lemma. 411-423 - Robert E. Greene:

Real Analyticity: From Calculus Class to the Grauert-Morrey Theorem. 424-431 - Erik Talvila:

Some Divergent Trigonometric Integrals. 432-436
- Fred Brauer:

What Goes Up Must Come Down, Eventually. 437-440 - Edsger W. Dijkstra, Jayadev Misra:

Designing a Calculational Proof of Cantor's Theorem. 440-443 - Giuseppe De Marco:

For Every ε There Continuously Exists a δ. 443-444 - Antreas P. Hatzipolakis, Paul Yiu:

The Lucas Circles of a Triangle. 444-446 - Gerald B. Folland:

How to Integrate a Polynomial over a Sphere. 446-448
- V. Wiktor Marek, Jan Mycielski:

Foundations of Mathematics in the Twentieth Century. 449-468
- Bogdan Suceava:

Problem 10872. 469 - B. J. Venkatachala:

Problem 10873. 469 - Wu Wei Chao:

Problem 10874. 469 - Donald E. Knuth:

Problem 10875. 469 - Zoltán Sasvári:

Problem 10876. 469 - Emeric Deutsch:

Problem 10877. 470 - Pál Péter Dályay:

Problem 10878. 470
- Stephen C. Locke, Phil Tracy, H.-J. Voss:

Highly Cohesive Graphs Have Long Nonseparating Paths: 10647. 470-472 - Serge Tabachnikov:

Polyhedron Covered Twice by Lines: 10724. 472-473 - Peter Lindqvist, Jaak Peetre, Jonathan M. Borwein:

Generalized Trigonometric Functions: 10744. 473-474 - Marc Deléglise, Joe Flowers:

An Unusual Limit Problem: 10807. 474-475 - Yehuda Pinchover, Simeon Reich, Itai Shafrir:

The Ptolemy Constant of a Normed Space: 10812. 475-476
Volume 108, Number 6, June - July 2001
- Paul C. Pasles:

The Lost Squares of Dr. Franklin: Ben Franklin's Missing Squares and the Secret of the Magic Circle. 489-511 - Martin Hanke, Otmar Scherzer:

Inverse Problems Light: Numerical Differentiation. 512-521 - Hans Samelson:

Differential Forms, the Early Days; or the Stories of Deahna's Theorem and of Volterra's Theorem. 522-530 - Carlton J. Maxson, Johan H. Meyer:

How Many Subspaces Force Linearity? 531-536 - Wim Pijls:

Some Properties Related to Mercator Projection. 537-543 - Erik Talvila:

Necessary and Sufficient Conditions for Differentiating under the Integral Sign. 544-548
- Jean-Pierre Quadrat, Jean B. Lasserre, Jean-Baptiste Hiriart-Urruty:

Pythagoras' Theorem for Areas. 549-551 - David A. Sánchez:

An Alternative to the Shooting Method for a Certain Class of Boundary Value Problems. 552-555 - Wen-Jin Woan:

Uniform Partitions of Lattice Paths and Chung-Feller Generalizations. 556-559 - Harley Flanders:

From Ford to Faà. 559-561 - Mowaffaq Hajja:

A Vector Proof of a Theorem of Bang. 562-564
- Walther Janous:

Problem 10879. 565 - Razvan A. Satnoianu:

Problem 10880. 565 - José Luis Palacios:

Problem 10881. 565 - Erwin Just, Norman Schaumberger:

Problem 10882. 565 - Nick MacKinnon:

Problem 10883. 565 - Zafar Ahmed:

Problem 10884. 566 - Kiran S. Kedlaya, Sasha Schwartz:

Problem 10885. 566
- M. J. Pelling, et al.:

Maximizing Quadratic Forms over Cubes: 10731. 566-567 - Alain Grigis, W. Weston Meyer:

Reflections of a Billiard Path: 10749. 567 - Jean Anglesio, et al.:

A Nowhere-Differentiable Function from Geometry: 10790. 568 - Floor van Lamoen, W. Weston Meyer:

Euler Lines Concurrent on the Nine-Point Circle: 10796. 569 - Hassan Ali Shah Ali, Keith A. Kearnes, Ágnes Szendrei, Zafar Ahmed, M. A. Prasad, et al.:

A Difference of Square Roots: 10806. 570 - Juan-Bosco Romero Márquez, Mohammed Ali Salem:

A Parallelogram Inscribed in a Quadrilateral: 10810. 571 - Razvan A. Satnoianu, Li Zhou:

Relatives of Erdos-Mordell: 10814. 572
Volume 108, Number 7, August - September 2001
- Jeffrey R. Weeks:

The Twin Paradox in a Closed Universe. 585-590 - Chi-Kwong Li, Stephen Pierce:

Linear Preserver Problems. 591-605 - David E. Zitarelli:

Towering Figures in American Mathematics, 1890-1950. 606-635 - Erik Talvila:

Rapidly Growing Fourier Integrals. 636-641
- Søren Boel, Toke Meier Carlsen, Niels Richard Hansen:

A Useful Strengthening of the Stone-Weierstrass Theorem. 642-643 - Xingzhi Zhan:

Linear Preservers That Permute the Entries of a Matrix. 643-645 - Darrell Desbrow:

A Real Antiderivative by Contour Integration. 645-649 - Vesa Halava, Tero Harju:

Mortality in Matrix Semigroups. 649-653
- Michael Francis Atiyah:

Mathematics in the 20th Century. 654-666
- Joaquín Gómez Rey:

Problem 10886. 667 - Jean Anglesio:

Problem 10887. 667 - William P. Wardlaw, William D. Withers:

Problem 10888. 667 - Klaus Huber:

Problem 10889. 667 - Raymond Mortini:

Problem 10890. 668 - Roland Bacher:

Problem 10891. 668 - Stephen C. Locke:

Problem 10892. 668
- M. J. Pelling, F. W. Roush:

The Sum Divides the Product: 10745. 668-669 - Itshak Borosh, Douglas A. Hensley, Joel Zinn, et al.:

One Good Congruence Deserves Another: 10748. 669 - Leonard Smiley, David Callan, David M. Wells, Saïd Amghibech:

A Rational Generating Function for Relative Divisors: 10750. 670 - Jean Anglesio, Daniele Donini:

Special Points of the Triangle of Excenters: 10763. 671 - Barbara S. Bertram, Otto Ruehr:

Submultiplicativity of a Function Defined by a Series: 10815. 671-672 - Lester R. Ford Awards for 2000. 681

Volume 108, Number 8, October 2001
- David Lindsay Roberts:

E. H. Moore's Early Twentieth-Century Program for Reform in Mathematics Education. 689-696 - Shaun M. Fallat:

Bidiagonal Factorizations of Totally Nonnegative Matrices. 697-712 - Don Rawlings:

Sequential Searches: Proofreading, Russian Roulette, and the Incomplete q-Eulerian Polynomials Revisited. 713-720 - Jan E. Holly:

Pictures of Ultrametric Spaces, the p-Adic Numbers, and Valued Fields. 721-728 - Kenneth R. Meyer:

Jacobi Elliptic Functions from a Dynamical Systems Point of View. 729-737 - P. J. McKenna, Cillian Ó Tuama:

Large Torsional Oscillations in Suspension Bridges Visited Again: Vertical Forcing Creates Torsional Response. 738-745 - Greg Martin:

Absolutely Abnormal Numbers. 746-754
- Christopher Stuart:

Limiting Distributions for Derangements. 755 - Keith McKenzie Rogers:

The Finite Field Kakeya Problem. 756-759 - Airton von Sohsten de Medeiros:

The Fundamental Theorem of Algebra Revisited. 759-760 - Mowaffaq Hajja:

Other Versions of the Steiner-Lehmus Theorem. 760-767 - Wladimir de Azevedo Pribitkin:

A Simpler Proof of sin. 767-768 - Jean B. Lasserre:

A Quick Proof for the Volume of n-Balls. 768-769
- Andrei Jorza:

Problem 10893. 770 - Robert A. Sulanke:

Problem 10894. 770 - August Wendijk:

Problem 10895. 770 - Torben Maack Bisgaard, Zsolt Páles, Zoltán Sasvári:

Problem 10896. 770 - Gregory P. Wene:

Problem 10897. 771 - Wu Wei Chao:

Problem 10898. 771 - Ricardo Martini, Gerhard F. Post:

Problem 10899. 771
- Paul Bracken, Bruce S. Burdick:

Euler's Formula for Zeta Function Convolutions: 10754. 771-773 - Bruce Reznick, Bruce Dearden:

Completely Multiplicative Functions: 10760. 773 - Fred Galvin, Radhika Ramamurthi:

An Extremal Problem for Independent Sets in Graphs: 10761. 773-774 - Bruce Dearden, Jerry Metzger, Robert Gilmer:

Invertible Matrices Modulo n: 10767. 774 - Christian Blatter, Josh Greene:

The Chromatic Number of the Sphere: 10769. 774-775 - Enrico Valdinoci, Robin Chapman:

Convergence of a Series: 10808. 775-777 - Walther Janous, Anne-Maria Ernvall:

A Summation Inequality: 10817. 777
Volume 108, Number 9, November 2001
- William Mueller:

Mathematical Wunderkammern. 785-796 - Jimmie D. Lawson, Yongdo Lim:

The Geometric Mean, Matrices, Metrics, and More. 797-812 - Robert Osserman:

Kepler's Laws, Newton's Laws, and the Search for New Planets. 813-820 - Dan Kalman, James E. White:

Polynomial Equations and Circulant Matrices. 821-840 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:

The Sixty-First William Lowell Putnam Mathematical Competition. 841-850
- Ákos László:

The Sum of Some Convergent Series. 851-855 - Alexander G. Ramm:

A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators. 855-860 - Robert L. Benedetto:

An Elementary Product Identity in Polynomial Dynamics. 860-864
- Jeremy Gray:

Weierstrass, Luzin, and Intuition. 865-870
- Gordon Rice:

Problem 10900. 871 - M. J. Knight:

Problem 10901. 871 - Emeric Deutsch:

Problem 10902. 871 - Richard Bagby:

Problem 10903. 871 - Ovidiu Furdui:

Problem 10904. 871 - Richard P. Stanley:

Problem 10905. 871 - Donald E. Knuth:

Problem 10906. 872
- Emeric Deutsch, David Callan, Sabin Cautis, et al.:

Another Path to Generalized Catalan Numbers: 10751. 872-873 - Louis W. Shapiro, Richard Ehrenborg, John W. Moon, Michael Reid:

Leaves of Ordered Trees: 10753. 873-874 - Mark E. Kidwell, Donald E. Knuth, O. P. Lossers:

Leaves of Ordered Trees: 10757. 874-875 - Gerard J. Foschini, et al.:

A Sequence of Functions That Doesn't Span L2[0, 1]: 10821. 875-876 - Jeffrey C. Lagarias, Jade P. Vinson, et al.:

When Periodic Points Are Real: 10822. 876-877 - Félix Martínez-Giménez, John H. Lindsey II:

A Convergence Property for Infinite Arrays: 10826. 877 - Donald E. Knuth, Cecil C. Rousseau:

A Stirling Series: 10832. 877-878
Volume 108, Number 10, December 2001
- Peter B. Borwein, Loki Jörgenson:

Visible Structures in Number Theory. 897-910 - Donald R. Chalice:

How to Differentiate and Integrate Sequences. 911-921 - David Alan Grier:

Dr. Veblen Takes a Uniform Mathematics in the First World War. 922-931 - Harriet Pollatsek:

Quantum Error Correction: Classic Group Theory Meets a Quantum Challenge. 932-962
- Yunhi Cho, Kyunghwan Park:

Inverse Functions of y = x1/x. 963-967 - Hiroshi Maehara:

On the Total Edge-Length of a Tetrahedron. 967-969 - Eugenio P. Balanzario:

Evaluation of Dirichlet Series. 969-971 - Timothy G. Feeman, Osvaldo Marrero:

Affine Transformations, Polynomials, and Proportionality. 972-975
- Szilárd András:

Problem 10907. 976 - Wu Wei Chao:

Problem 10908. 976 - Támás Kalmán:

Problem 10909. 976 - Stevo Stevic, Rade Todorovic:

Problem 10910. 976 - Greg Martin:

Problem 10911. 976 - Jean Anglesio:

Problem 10912. 976 - Donald E. Knuth:

Problem 10913. 977
- Mark V. Sapir, O. P. Lossers, Hugh L. Montgomery:

The Decimal Expansions of Powers of 9: 10758. 977-978 - Peter J. Ferraro:

Fibonacci Numbers and Powers: 10765. 978-979 - Calin Popescu, Jim Vandergriff, Jim Delany:

A Divisibility Result for a Combination of mth Powers: 10770. 979-980 - Emeric Deutsch, Jim Brawner:

Three-Dimensional Lattice Walks in the Upper Half-Space: 10795. 980 - Jon A. Wellner, M. L. Glasser:

Incognito Hypergeometrics: 10836. 980-981 - Andrew Vince, Kenneth Schilling:

Almost Fixed Sets: 10843. 981-982
- Fred Galvin:

A Generalization of Hall's Theorem: 10701. 982
- Roger A. Horn:

Editor's Endnotes. 993-994

manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.


Google
Google Scholar
Semantic Scholar
Internet Archive Scholar
CiteSeerX
ORCID














