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ORCIDThe 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
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