The American Mathematical Monthly, Volume 107

Volume 107, Number 1, January 2000

• 
  Phillip A. Griffiths:
  Mathematics at the Turn of the Millennium. 1-14
• 
  Charles W. Groetsch:
  The Commandant's Corollary. 15-23
• 
  Jerome P. Reiter:
  Using Statistics to Determine Causal Relationships. 24-32
• 
  James Case:
  Paradoxes Involving Conflicts of Interest. 33-43
• 
  James E. McClure:
  Start Where They Are: Geometry as an Introduction to Proof. 44-52

Notes

• 
  Jerzy Tyszkiewicz:
  A Simple Construction for Tournaments with Every k Players Beaten by a Single Player. 53-54
• 
  Maria Suzuki:
  Alternative Formulations of the Twin Prime Problem. 55-56
• 
  Alexander Russell:
  An Easy Reduction of an Isoperimetric Inequality on the Sphere to Extremal Set Theory. 57-59
• 
  Peter Malcolmson, Frank Okoh:
  Rings without Maximal Ideals. 60-61
• 
  Thomas R. Hagedorn:
  A Proof of a Conjecture on Egyptian Fractions. 62-63

The Evolution of...

• 
  S. S. Demidov, Abe Shenitzer:
  Two Letters by N. N. Luzin to M. Ya. Vygodskii. 64-82

Problems and Solutions

• 
  Catalin Zara:
  Problem 10774. 83
• 
  Hadi Salmasian:
  Problem 10775. 83
• 
  Yongge Tian:
  Problem 10776. 83
• 
  Zafar Ahmed:
  Problem 10777. 83
• 
  Paul Bateman, Dennis Eichhorn:
  Problem 10778. 83
• 
  Andrei Jorza:
  Problem 10779. 83
• 
  Kiran S. Kedlaya:
  Problem 10780. 84

Solutions

• 
  John P. Robertson:
  Elliptic Curves to the Rescue: 10612. 84-86
• 
  George E. Andrews, John Henry Steelman, G. L. Body, David Callan, Robin J. Chapman, Kee-Wai Lau, J. T. Lewis, John H. Lindsey II, G. Lord, J. G. Merickel:
  Rogers-Ramanujan Partitions: 10627. 86
• 
  George E. Andrews, Kee-Wai Lau, G. L. Body, David Callan, Robin J. Chapman, G. Lord, Heinz-Jürgen Seiffert, Doron Zeilberger:
  Partitions and Pentagonal Numbers: 10628. 86-87
• 
  Frank Schmidt, Peter Mork, David Beckwith, David Callan, D. J. Chapman, G. Lord, Cecil C. Rousseau, Plamen Simeonov, John Henry Steelman:
  Interrupted Partitions: 10629. 87-88
• 
  David Callan, Robin J. Chapman, John H. Lindsey II, Danrun Huang:
  The Value of Primitive Words: 10636. 88-89
• 
  Marcin Mazur, Roy Barbara, Jean Anglesio, Robin J. Chapman, N. Lakshmanan, John Melville, G. Peng, C. R. Pranesachar:
  Quadrilaterals in an Isosceles Triangle: 10653. 89-91
• 
  Michael Golomb, G. Donald Chakerian, Robin J. Chapman, John H. Lindsey II, O. P. Lossers, Albert Nijenhuis:
  Points That Form Simplices of Equal Volume: 10685. 91

Reviews

• 
  John P. Pratt:
  Mapping Time: The Calendar and Its History. by E. G. Richards. 92-99
• 
  Arnold Ostebee:
  Telegraphic Reviews. 100-102

Volume 107, Number 2, February 2000

• 
  James A. Donaldson, Richard J. Fleming:
  Elbert F. Cox: An Early Pioneer. 105-128
• 
  Bennett Eisenberg, Rosemary Sullivan:
  Crofton's Differential Equation. 129-139
• 
  Allen J. Schwenk:
  What is the Correct Way to Seed a Knockout Tournament? 140-150
• 
  Ali Enayat:
  δ as a Continuous Function of x and ε. 151-155
• 
  Frank R. Pfaff:
  A Commutative Multiplication of Number Triplets. 156-162

Notes

• 
  Carsten Thomassen:
  The Rendezvous Number of a Symmetric Matrix and a Compact Connected Metric Space. 163-166
• 
  Tamás Erdélyi:
  On the Equation a(a + d)(a + 2d)(a + 3d) = x². 166-169
• 
  Gerd Herzog:
  On Nonlinear Summability. 170-171
• 
  Florian Luca:
  The Anti-Social Fermat Number. 171-173
• 
  Anatole Beck:
  A Fractal Example in Ordinary Differential Equations. 174-175

Problems and Solutions

• 
  Leonard Smiley:
  Problem 10781. 176
• 
  Douglas Iannucci:
  Problem 10782. 176
• 
  Wu Wei Chao:
  Problem 10783. 176
• 
  Alberto Facchini, Francesco Barioli:
  Problem 10784. 176
• 
  Emeric Deutsch:
  Problem 10785. 176
• 
  Leroy Quet:
  Problem 10786. 177
• 
  Juan Arias de Reyna:
  Problem 10787. 177

Solutions

• 
  Warren Koepp, Robin Chapman, John H. Lindsey II:
  On the Intersection of Zⁿ with a Hyperplane: 10639. 177
• 
  Michael Filaseta, Allen Stenger, David Callan, Zachary Franco:
  When a Multiple of π/2 is Close to an Integer: 10640. 177-179
• 
  Jerrold R. Griggs, Michael Woltermann, B. Borchers, David Callan, Robin J. Chapman, J. Chilcott, Paul Cull, A. Ferguson, K. Martin, G. G. Gagola, Solomon W. Golomb, J. Guilford, S. Louis Hakimi, Edward F. Schmeichel, J. K. Haugland, C. H. Jepson, R. Johnsonbaugh, André Kündgen, S. Levandosky, J. T. Lewis, John H. Lindsey II, O. P. Lossers, Reiner Martin, R. Morris, Gerald Myerson, José Heber Nieto, E. Rykken, J. Sorensen, J. Schlosberg, W. Seaman, J. T. Ward, Z. Zeuge:
  Tiling Rectangles with Trominoes: 10641. 179
• 
  Jürgen Groß, Götz Trenkler, S.-O. Troschke, William F. Trench, David Callan, Grace Wahba, Robin J. Chapman, Luz M. DeAlba, John H. Lindsey II:
  A Property of Some Normal Matrices: 10645. 179-180
• 
  Marcin Mazur, Kit Hanes, Jean Anglesio, M. Benedicty, Shalosh B. Ekhad, N. Lakshmanan, Albert Nijenhuis, John H. Smith:
  Tangent Lines and Collinear Points: 10673. 180-181
• 
  Ioan Tomescu, Kee-Wai Lau, O. P. Lossers, Kenneth F. Andersen, Robin J. Chapman, Óscar Ciaurri, E. Fernandez, Valerio De Angelis, Emeric Deutsch, G. Will, M. Falkowitz, Zachary Franco, C. Georghiou, J. Lewandowski, Albert Nijenhuis, Timothy S. Norfolk, Allen Stenger:
  Complex Roots of a Polynomial: 10688. 181-182
• 
  Robert Helmbold, Wook Kim, Robert A. Agnew, Zafar Ahmed, Saïd Amghibech, Kenneth F. Andersen, P. J. Anderson, G. Bower, Bruce S. Burdick, Robin J. Chapman, Daniele Donini, Patrick J. Fitzsimmons, Richard A. Groeneveld, V. Hernandez, J. Martin, Ellen Hertz, Barthel Wayne Huff, Gregory Keselman, S. S. Kim, R. A. Leslie, John H. Lindsey II, O. P. Lossers, Reiner Martin, Darryl K. Nester, G. Peng, Volkhard Schindler, L. Scribani, Heinz-Jürgen Seiffert, Plamen Simeonov, A. H. Stein, Douglas B. Tyler, Erik I. Verriest:
  The Variance of Logarithms: 10690. 182
• 
  Wu Wei Chao, Michael Reid, F. Bellot Rosado, Robin J. Chapman, Daniele Donini, Shalosh B. Ekhad, N. Lakshmanan, O. P. Lossers, Albert Nijenhuis, Peter Nüesch, C. G. Petalas:
  Incenters and Excenters: 10693. 182-184
• 
  Gerald Heuer, Kenneth F. Andersen, Patrick J. Fitzsimmons, Karl Heuer, S. S. Kim, John H. Lindsey II, O. P. Lossers, K. Poelladennou, K. Schilling, L. Scribani, Plamen Simeonov:
  A Square Game: 10696. 184

Reviews

• 
  Francis Edward Su:
  Cake-Cutting Algorithms: Be Fair if You Can. by Jack Robertson; William Webb. 185-188

Volume 107, Number 3, March 2000

• 
  Andrew M. Gleason:
  Yueh-Gin Gung and Dr. Charles Y. Hu Award for Distinguished Service to Paul R. Halmos. 193-194
• 
  Chris Freiling, Robert Hunter, Cynthia Turner, Russell Wheeler:
  Tiling with Squares and Anti-Squares. 195-204
• 
  Luis Verde-Star:
  Solving Linear Differential-Like Equations. 205-218
• 
  Garry Helzer:
  Special Relativity with Acceleration. 219-237
• 
  Bjorn Poonen, Fernando Rodriguez-Villegas:
  Lattice Polygons and the Number 12. 238-250

Notes

• 
  Tom Sibley, Stan Wagon:
  Rhombic Penrose Tilings Can be 3-Colored. 251-253
• 
  Ming-Chang Kang:
  Cubic Fields and Radical Extensions. 254-256
• 
  Lee Badger:
  Generating the Measures of n-Balls. 256-258
• 
  Omar H. Karam:
  The Volume of the Unit Ball in Cⁿ. 259
• 
  Michael D. Hirschhorn:
  Partial Fractions and Four Classical Theorems of Number Theory. 260-264
• 
  Sung S. Kim, Kil H. Kwon:
  Smooth (C^∞) but Nowhere Analytic Functions. 264-266

The Evolution of...

• 
  Detlef Laugwitz:
  Comments on the Paper "Two Letters by N. N. Luzin to M. Ya. Vygodskii". 267-276

Problems and Solutions

• 
  Howard M. Taylor:
  Problem 10788. 277
• 
  Robin Chapman:
  Problem 10789. 277
• 
  Jean Anglesio:
  Problem 10790. 277
• 
  Antal Fekete:
  Problem 10791. 277
• 
  Harold G. Diamond, Ferrell S. Wheeler:
  Problem 10792. 278
• 
  Florian Luca:
  Problem 10793. 278
• 
  David S. Hough, Rodica Simion:
  Problem 10794. 278

Solutions

• 
  David Callan, Knut Dale, Ivar Skau, John Henry Steelman, Jany C. Binz, Robin J. Chapman, F. Herzig, André Kündgen, Reiner Martin, José Heber Nieto, O. A. Saleh, S. Byrd, Edward F. Schmeichel, Isaac Sofair, Michael Vowe:
  An Identity Involving Derangements: 10643. 278-279
• 
  Emeric Deutsch, John H. Lindsey II, Michael H. Andreoli, Robert A. Agnew, Robin J. Chapman, Michael P. Cohen, M. N. Deshpande, M. D. Ernst, Ellen Hertz, L. R. Ivory, Walther Janous, Gregory Keselman, R. G. Mosier, José Heber Nieto, R. Pinkham, S. D. Sarti, Plamen Simeonov, W. R. Smythe, Albert Stadler, John Henry Steelman, William F. Trench, J. T. Ward, Michael Woltermann:
  How Far Does the First Element Dominate?: 10649. 279-280
• 
  David Callan, Robin Chapman, John H. Lindsey II, J. Parkinson, Volkhard Schindler, Plamen Simeonov:
  Analysis of a French Inheritance Law: 10652. 280-281
• 
  Mihály Bencze, Dan Saracino, Allen Stenger, S. Amghibech, Jean Anglesio, R. Bauer, A. Siegel, David M. Bloom, G. L. Body, David Callan, Robin J. Chapman, Kevin Ford, Stephen M. Gagola Jr., N. Gauthier, W. V. Grounds, T. Hagedorn, R. T. Koether, N. Komanda, R. N. Krishnan, K.-W. Lau, John H. Lindsey II, L. E. Mattics, C. A. Minh, H. N. Ozsoylev, C. Y. Yildirim, P. G. Poonacha, N. R. Sanjeev, C. Popescu, J. Robertson, H.-J. Sieffert, Jeffrey O. Shallit, N. C. Singer, Albert Stadler, D. C. Terr, T. V. Triff, T. Trimble, Pavel Trojovský:
  A Recurrence Generating Multiples of Primes: 10655. 281-282
• 
  James C. Owings Jr., Jeremy E. Dawson, Robin J. Chapman, Darryl K. Nester, Robert A. Agnew, John Beebee, David Callan, R. Garcia-Pelayo, V. Hernandez, J. Martin, J. Hickman, D. Jones, S. S. Kim, Olaf Krafft, Martin Schaefer, G. Letac, John H. Lindsey II, O. P. Lossers, K. Poelladennou, K. Schilling, M. Shemesh:
  A Sum of Chebyshev Inequalities: 10687. 282-283
• 
  Hassan Ali Shah Ali, John H. Lindsey II:
  Extrema for Constrained Elementary Symmetric Functions: 10694. 283
• 
  Jose L. Diaz, Tewodros Amdeberhan, Erik I. Verriest:
  A Rational Identity: 10697. 283-284
• 
  Abram Kagan, Colin L. Mallows, Larry A. Shepp, John H. Lindsey II:
  Bernoulli Component of a Sum: 10699. 284
• 
  Jean Anglesio, Shalosh B. Ekhad:
  Four More Distinguished Points of a Triangle: 10703. 285

Reviews

• 
  Gerald B. Folland:
  [untitled]. 286-291
• 
  Arnold Ostebee:
  Telegraphic Reviews. 292-294

Volume 107, Number 4, April 2000

• 
  Michael C. Sullivan:
  Knot Factoring. 297-315
• 
  Robert S. Strichartz:
  Evaluating Integrals Using Self-Similarity. 316-326
• 
  Joel L. Weiner:
  How Helical Can a Closed, Twisted Space Curve be? 327-333
• 
  Chi-Kwong Li:
  Norms, Isometries, and Isometry Groups. 334-340
• 
  Francesc Aguiló, Miguel Angel Fiol, Maria Lluisa Fiol:
  Periodic Tilings as a Dissection Method. 341-352

Notes

• 
  Rajendra Bhatia, Chandler Davis:
  A Better Bound on the Variance. 353-357
• 
  J. N. Ridley:
  An Elementary Proof on Location of Zeros. 357-360
• 
  Neil J. Calkin, Herbert S. Wilf:
  Recounting the Rationals. 360-363
• 
  Stephen E. Wright:
  A Note on Positively Spanning Sets. 364-366

Problems and Solutions

• 
  Emeric Deutsch:
  Problem 10795. 367
• 
  Floor van Lamoen:
  Problem 10796. 367
• 
  Paul Bateman, Jeffrey Kalb:
  Problem 10797. 367
• 
  Edward Neuman:
  Problem 10798. 367
• 
  Curtis Herink, Gary Gruenhage:
  Problem 10799. 367
• 
  Douglas Iannucci:
  Problem 10800. 368
• 
  Paul R. Pudaite, Glen Ellyn:
  Problem 10801. 368

Solutions

• 
  Richard P. Stanley, Richard Ehrenborg, Stephen M. Gagola Jr., Robin J. Chapman, John H. Lindsey II:
  Pairs with Equal Squares: 10654. 368
• 
  Emeric Deutsch, David Callan, M. Beck, David Beckwith, W. Bohm, Richard F. McCoart:
  Another Type of Lattice Path: 10658. 368-370
• 
  Erwin Just, Allan Berele, J. Bergen, Keith A. Kearnes, G. Marks, Gregory P. Wene:
  A Sufficient Condition for Commutativity: 10661. 370
• 
  Emeric Deutsch, Harris Kwong, Cecil C. Rousseau, Paul K. Stockmeyer:
  A Formula for the Pell Sequence: 10663. 370-371
• 
  Zoltán Sasvári, Jerrold W. Grossman, Sung Soo Kim:
  Avoiding Uncountably Many Subsets: 10667. 371-372
• 
  John Isbell, Stephen H. Schanuel, Stephen M. Gagola Jr., Mowaffaq Hajja:
  Fixed Points of Iterated Cyclic Difference Operators: 10676. 372-373
• 
  Clark Kimberling, Peter Yff, Vasile Mihai:
  Another Set of Concurrent Cevians: 10678. 373
• 
  James Gary Propp, Keith A. Kearnes:
  An Application of Sperner's Theorem: 10679. 374
• 
  Kevin Ford, Kee-Wai Lau:
  Asymptotics of a Recurrent Sequence: 10682. 374-375
• 
  D. W. Brown, John Cobb:
  A Countable Hausdorff Space with the Fixed Point Property: 10705. 375-376
• 
  Zoltán Sasvári, John H. Lindsey II:
  An Estimate for the Normal Distribution: 10709. 376-377
• 
  David P. Bellamy, Felix Lazebnik, Ray Redheffer:
  Characterizing Solutions to Simple Differential Equations: 10729. 377

Reviews

• 
  Julian F. Fleron:
  [untitled]. 378-384
• 
  Thomas W. Cusick:
  [untitled]. 384-386
• 
  Roger A. Horn:
  Editor's Endnotes. 387

Volume 107, Number 5, May 2000

• 
  Andrew Browder:
  Topology in the Complex Plane. 393-401
• 
  Keith Kendig:
  Is a 2000-Year-Old Formula Still Keeping Some Secrets? 402-415
• 
  Joseph B. Keller:
  Optimal Running Strategy to Escape from Pursuers. 416-421
• 
  Michael Frame, Brenda Johnson, Jim Sauerberg:
  Fixed Points and Fermat: A Dynamical Systems Approach to Number Theory. 422-428
• 
  Laurent Bartholdi:
  Lamps, Factorizations, and Finite Fields. 429-436

Notes

• 
  Raymond T. Boute:
  Zeroless Positional Number Representation and String Ordering. 437-444
• 
  Kevin A. Broughan, Nan Zhu:
  An Integer Programming Problem with a Linear Programming Solution. 444-446
• 
  Terence Jackson:
  A Short Proof That Every Prime Is of the Form x² + 2y². 447
• 
  Jean-Paul Allouche, Michel Cosnard:
  The Komornik-Loreti Constant Is Transcendental. 448-449
• 
  Liu Wen:
  A Nowhere Differentiable Continuous Function. 450-453

The Evolution of...

• 
  Jacques Tits, John Stillwell:
  Symmetry. 454-461

Problems and Solutions

• 
  Doru Caragea, Viviana Ene:
  Problem 10802. 462
• 
  Stephen G. Penrice:
  Problem 10803. 462
• 
  Achilleas Sinefakopoulos:
  Problem 10804. 462
• 
  Antal Fekete:
  Problem 10805. 462
• 
  Hassan Ali Shah Ali:
  Problem 10806. 462
• 
  Marc Deléglise:
  Problem 10807. 463
• 
  Enrico Valdinoci:
  Problem 10808. 463

Solutions

• 
  Paul Deiermann, Rick Mabry, Alain Tissier:
  Intersecting Curves: 10712. 463-464
• 
  Juan-Bosco Romero Márquez, Heinz-Jürgen Seiffert:
  A Cute Characterization of Acute Triangles: 10713. 464
• 
  Roger Cuculière, Albert Stadler:
  Successful Bootstrapping: 10715. 465-466
• 
  Marcin Mazur, Robin Chapman, Petr Lisonek, Robert B. Israel, Murray S. Klamkin:
  Rigid and Very Rigid Tetrahedra: 10717. 466-467
• 
  Daniel A. Sidney:
  Integrals and Sines: 10721. 468-469
• 
  Donald E. Knuth, Darin Stephenson:
  The Probability of Being in a State: 10726. 469-470
• 
  Walther Janous, Enrico Valdinoci:
  The Best Constant in an Inequality: 10730. 470

Reviews

• 
  Allen C. Hibbard:
  [untitled]. 471-474
• 
  Mic Jackson:
  [untitled]. 474-478
• 
  Arnold Ostebee:
  Telegraphic Reviews. 479-481

Volume 107, Number 6, June - July 2000

• 
  Edward R. Scheinerman:
  When Close Enough is Close Enough. 489-499
• 
  K. Robin McLean:
  Loops of Regular Polygons. 500-510
• 
  Arthur T. Benjamin, Gregory M. Levin, Karl Mahlburg, Jennifer J. Quinn:
  Random Approaches to Fibonacci Identities. 511-516
• 
  David Borwein, Jonathan M. Borwein, Pierre Maréchal:
  Surprise Maximization. 517-527
• 
  Pei Yuan Wu:
  Polygons and Numerical Ranges. 528-540
• 
  Pavel Pudlák:
  Proofs as Games. 541-550

Notes

• 
  Wlodzimierz Kuperberg:
  Holey Coronas A Solution of the Grunbaum-Shephard Conjecture on Convex Isohedral Tilings. 551-555
• 
  Dan Romik:
  Stirling's Approximation for n!: The Ultimate Short Proof? 556-557
• 
  Richard Ehrenborg:
  The Hankel Determinant of Exponential Polynomials. 557-560
• 
  Arthur T. Benjamin, Matthew T. Fluet:
  What's Best? 560-562

Unsolved Problems

• 
  Doug Engel:
  A Celtic Magnecurve Problem. 563-565

Problems and Solutions

• 
  David Beckwith:
  Problem 10809. 566
• 
  Juan-Bosco Romero Márquez:
  Problem 10810. 566
• 
  Phil Tracy:
  Problem 10811. 566
• 
  Yehuda Pinchover, Simeon Reich:
  Problem 10812. 566
• 
  Fred Richman:
  Problem 10813. 567
• 
  Razvan A. Satnoianu:
  Problem 10814. 567
• 
  Barbara S. Bertram, Otto G. Ruehr:
  Problem 10815. 567

Solutions

• 
  Emeric Deutsch, Ira M. Gessel, David Callan:
  Permutation Parameters with the Same Distribution: 10634. 567-568
• 
  David Beckwith, Tiberiu V. Trif, Dan C. Popescu:
  A Series Involving Numbers of Factorizations: 10669. 568-569
• 
  David Newman:
  A Recurrence inside a Generating Function: 10681. 569-570
• 
  A Western Maryland Integral: 10708. 570-572
• 
  Bogdan Suceava, Achilleas Sinefakopoulos:
  A Six Point Circle: 10710. 572-573
• 
  Sung Soo Kim, K. P. Hart:
  Partitioning the Interval into Closed Sets: 10733. 573

Reviews

• 
  David J. Aldous:
  [untitled]. 574-576
• 
  Michael Frame:
  [untitled]. 576-580

Volume 107, Number 7, August - September 2000

• 
  Charles S. Revelle, Kenneth E. Rosing:
  Defendens Imperium Romanum: A Classical Problem in Military Strategy. 585-594
• 
  Bruce C. Berndt, Robert A. Rankin:
  The Books Studied by Ramanujan in India. 595-601
• 
  Rajendra Bhatia:
  Pinching, Trimming, Truncating, and Averaging of Matrices. 602-608
• 
  Gerald Beer:
  When is a Family of Sets a Family of Bounded Sets? 609-614
• 
  David S. Moore, George W. Cobb:
  Statistics and Mathematics: Tension and Cooperation. 615-630

Notes

• 
  Jonathan Pakianathan, Krishnan Shankar:
  Nilpotent Numbers. 631-634
• 
  Tom Jenkyns, Eric Muller:
  Triangular Triples from Ceilings to Floors. 634-639
• 
  Rodney Nillsen:
  Normal Numbers without Measure Theory. 639-644

The Evolution of...

• 
  M. M. Postnikov, Abe Shenitzer:
  The Problem of Squarable Lunes. 645-651

Problems and Solutions

• 
  Emeric Deutsch:
  Problem 10816. 652
• 
  Walther Janous:
  Problem 10817. 652
• 
  Cezar Joita:
  Problem 10818. 652
• 
  Olaf Krafft:
  Problem 10819. 652
• 
  Madjid Mirzavaziri:
  Problem 10820. 652
• 
  Gerard J. Foschini:
  Problem 10821. 653
• 
  Jeffrey C. Lagarias:
  Problem 10822. 653

Solutions

• 
  Jerrold R. Griggs, Darryl K. Nester, Sung Soo Kim:
  The Asymptotics of the Birthday Problem: 10665. 653-654
• 
  Marius Cavachi:
  A Powerful Property: 10674. 654
• 
  Harm Derksen, Jeremy E. Dawson:
  A Characterization of Min or Max: 10677. 654-655
• 
  C. R. Pranesachar:
  Equicevian Points of a Triangle: 10686. 656-657
• 
  Wu Wei Chao, Plamen Simeonov:
  When Quadrilaterals Have Inscribed Circles: 10698. 657-658
• 
  Floor van Lamoen, Jany C. Binz:
  Beyond the De Longchamps Point: 10734. 658-659
• 
  Radu Theodorescu, Jonathan M. Borwein:
  Moments of the Poisson Distribution: 10738. 659
• 
  Stepan Tersian, Richard Bagby:
  A Definite Integral: 10746. 659-660

Reviews

• 
  Colm Mulcahy:
  [untitled]. 661-663
• 
  Jerrold W. Grossman:
  [untitled]. 664-668
• 
  Arnold Ostebee:
  Telegraphic Reviews. 669-671
• 
  Lester R. Ford Awards for 1999. 672

Volume 107, Number 8, October 2000

• 
  Steven L. Lee, Gilbert Strang:
  Row Reduction of a Matrix and A = CaB. 681-688
• 
  S. Allen Broughton:
  Constructing Kaleidoscopic Tiling Polygons in the Hyperbolic Plane. 689-710
• 
  Daniel K. Biss:
  A Generalized Approach to the Fundamental Group. 711-720
• 
  Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
  The Sixtieth William Lowell Putnam Mathematical Competition. 721-732
• 
  Joseph A. Gallian:
  Putnam Trivia for the 90s. 733-735

Notes

• 
  Oleg Pikhurko:
  On Envy-Free Cake Division. 736-738
• 
  Tom M. Apostol:
  Calculating Higher Derivatives of Inverses. 738-741
• 
  Holly Carley, Xin Li:
  The Modulus of Polynomials with Zeros at the Roots of Unity. 742-748
• 
  Vladimir Rakocevic:
  On the Norm of Idempotent Operators in a Hilbert Space. 748-750
• 
  Guang Yuan Zhang:
  A Simple Proof of a Theorem of Block and Hart. 751

Problems and Solutions

• 
  George E. Andrews:
  Problem 10823. 752
• 
  Ho-joo Lee:
  Problem 10824. 752
• 
  Carl Miller:
  Problem 10825. 752
• 
  Félix Martínez-Giménez:
  Problem 10826. 752
• 
  Ulrich Abel:
  Problem 10827. 752
• 
  David Beckwith:
  Problem 10828. 753
• 
  Walther Janous:
  Problem 10829. 753

Solutions

• 
  David Callan, David Beckwith:
  Periodic Points and Forests: 10666. 753-754
• 
  Harry Tamvakis, Joseph J. Rushanan:
  Splitting Triple Products by Sign: 10683. 754
• 
  Hendrik W. Lenstra Jr.:
  Restricting the Order of Elements in a Group: 10684. 755
• 
  Donald E. Knuth, Vaughan R. Pratt, O. P. Lossers:
  The Real Numbers, Algebraically: 10689. 755
• 
  Glenn G. Chappell, Robin Chapman:
  Ordering the Integers Using Specified Differences: 10692. 756
• 
  Iliya Bluskov, Albert Nijenhuis:
  A Useful and Surprising Limit: 10695. 756-757
• 
  Óscar Ciaurri, Gerald E. Bilodeau:
  Variation on the Mean Value Theme: 10739. 757
• 
  Athanasios Kalakos, Michel Bataille, David M. Wells:
  A Differential Equation with Many Solutions: 10747. 757-758
• 
  Gheorge Costovici, Kenneth Schilling:
  Conditions Ensuring Convergence: 10752. 758-759
• 
  Douglas Iannucci, Brian D. Beasley:
  A Cosine Formula: 10756. 759

Reviews

• 
  Heidi Burgiel:
  [untitled]. 760-763
• 
  Shirley B. Pomeranz:
  [untitled]. 763-766

Volume 107, Number 9, November 2000

• 
  R. Bruce Mattingly:
  Even Order Regular Magic Squares Are Singular. 777-782
• 
  Manjul Bhargava:
  The Factorial Function and Generalizations. 783-799
• 
  Jason Jeffers:
  Lost Theorems of Geometry. 800-812
• 
  Walter Rudin:
  Sums of Squares of Polynomials. 813-821
• 
  Edward B. Burger:
  Diophantine Olympics and World Champions: Polynomials and Primes Down Under. 822-829

Notes

• 
  Serge Tabachnikov:
  A Four Vertex Theorem for Polygons. 830-833
• 
  Glyn Harman, Kam C. Wong:
  A Note on The Metrical Theory of Continued Fractions. 834-837
• 
  Peter Kravanja, Ann Haegemans:
  Multidimensional Analytic Deflation. 837-841
• 
  Tom M. Apostol:
  Irrationality of The Square Root of Two - A Geometric Proof. 841-842
• 
  Anindya Sen:
  Fundamental Theorem of Algebra - Yet Another Proof. 842-843

The Evolution of...

• 
  Walter Felscher:
  Bolzano, Cauchy, Epsilon, Delta. 844-862

Problems and Solutions

• 
  Floor van Lamoen:
  Problem 10830. 863
• 
  George E. Andrews, Peter Paule, Axel Riese:
  Problem 10831. 863
• 
  Donald E. Knuth:
  Problem 10832. 863
• 
  Charles Vanden Eynden:
  Problem 10833. 863
• 
  Sung Soo Kim:
  Problem 10834. 864
• 
  Anna Dyubina, Pierre de la Harpe:
  Problem 10835. 864
• 
  Jon A. Wellner:
  Problem 10836. 864

Solutions

• 
  Leroy Quet, Robin Chapman:
  Bernoulli, Stirling, and Stirling: 10700. 864-865
• 
  William G. Spohn Jr., Jeremy E. Dawson:
  Neighborly Pythagorean Triples: 10704. 865-866
• 
  James Gary Propp, Tiberiu V. Trif:
  Deriving a Perfect Square: 10706. 866-867
• 
  Calin Popescu, Achilleas Sinefakopoulos:
  Inequalities Involving Altitudes and Exradii: 10759. 867-868
• 
  Leroy Quet, O. P. Lossers:
  A Convoluted Recursion: 10762. 868
• 
  Ray Redheffer, Robin Chapman:
  All Solutions in the Unit Cube: 10764. 868-869
• 
  Szilárd András, Ronald A. Kopas, Heinz-Jürgen Seiffert:
  Symmetric Inequalities for x^x and x^x2 : 10766. 869-870

Reviews

• 
  Steve Kennedy:
  [untitled]. 871-874
• 
  Marion Deutsche Cohen:
  [untitled]. 874-876
• 
  Arnold Ostebee:
  Telegraphic Reviews. 877-878

Volume 107, Number 10, December 2000

• 
  Volume Information. 970-980
• 
  Carolyn Eschenbach, Frank J. Hall, Rohan Hemasinha, Stephen Kirkland, Zhongshan Li, Bryan L. Shader, Jeffrey Stuart, James Weaver:
  Properties of Tournaments among Well-Matched Players. 881-892
• 
  María A. Hernández Cifre:
  Is There a Planar Convex Set with Given Width, Diameter, and Inradius? 893-900
• 
  John Konvalina:
  A Unified Interpretation of the Binomial Coefficients, the Stirling Numbers, and the Gaussian Coefficients. 901-910
• 
  Stefan Treatman, Cameron Wickham:
  Constructible Approximations of Regular Polygons. 911-922
• 
  David M. Bradley:
  Using Integral Transforms to Estimate Higher Order Derivatives. 923-931

Notes

• 
  Reid Barton, Keith Burns:
  A Simple Special Case of Sharkovskii's Theorem. 932-933
• 
  William Watkins:
  The Quadratic Residues -1 and -3. 934
• 
  Gerd Herzog:
  Polynomials Solving Dirichlet Boundary Value Problems. 934-936
• 
  Karl Dilcher:
  An Extension of Fermat's Little Theorem, and Congruences for Stirling Numbers. 936-940
• 
  Floor van Lamoen:
  Morley Related Triangles on the Nine-Point Circle. 941-945
• 
  Árpád Bényi, Pawel Szeptycki, Fred Van Vleck:
  Archimedean Properties and Parabolas. 945-949

Problems and Solutions

• 
  Ho-joo Lee:
  Problem 10837. 950
• 
  Florian S. Pârvânescu:
  Problem 10838. 950
• 
  Beresford N. Parlett:
  Problem 10839. 950
• 
  Jiansheng Yang, Shulin Zhou:
  Problem 10840. 950
• 
  Erwin Just:
  Problem 10841. 950
• 
  Bruce Reznick:
  Problem 10842. 950
• 
  Andrew Vince:
  Problem 10843. 951

Solutions

• 
  Kent D. Boklan, John P. Robertson:
  The Maximum Length of a Powerful Arithmetic Progression: 10702. 951
• 
  John Isbell, Julio Kuplinsky, Leon Mattics:
  A Union of Proper Subspaces?: 10707. 951-952
• 
  Jean Anglesio, Volkhard Schindler:
  Two Triangles with Common Vertex, Incenter, and Centroid: 10719. 952-954
• 
  Mowaffaq Hajja, Peter Walker, Danny Arrigo, Xiaoshen Wang, Zafar Ahmed:
  A Cubic Spherical Integral: 10771. 954-955
• 
  William C. Waterhouse, Steve Butcher:
  Nonconstant Functions with Derivative Zero: 10772. 956
• 
  Zafar Ahmed, Peter M. Jarvis:
  A Family of Integrals: 10777. 956-957
• 
  Kiran S. Kedlaya, Marcin Mazur:
  Incircle Partnerships: 10780. 957-958

Revivals

• 
  Paul Deiermann, Rick Mabry:
  Intersecting Curves: 10712. 958

Reviews

• 
  Marion Deutsche Cohen:
  [untitled]. 959-963
• 
  J. David Logan:
  [untitled]. 964-967
• 
  Roger A. Horn:
  Editor's Endnotes. 968-969