Table Of Content

Introduction to Gauss Factorials, An, John B. Packing a Cake into a Box, M. Skopenkov, 424 Cosgrave and Karl Dilcher, 812 Polynomials, Ellipses, and Matrices: Two Kirkman’s Tetrahedron and the Fifteen Questions, One Answer, Pamela Gorkin and Schoolgirl Problem, Giovanni Falcone and Elizabeth Skubak, 522 Marco Pavone, 887 Probabilistically Proving that ¢(2) = 27/6, Least Prime Congruent to One Modulo n, Luigi Pace, 641 The, R. Thangadurai and A. Vitwani, Proofs of Power Sum and Binomial Coefficient 737 Congruences via Pascal’s Identity, Kieren Lines of Best Fit for the Zeros and for the MacMillan and Jonathan Sondow, 549 Critical Points of a Polynomial, Grant Quotient Sets and Diophantine Equations, Keady, 262 Stephan Ramon Garcia, Vincent Logical Labyrinths. By Raymond M. Selhorst-Jones, Daniel E. Poore, and Noah Smullyan, reviewed by Christopher C. Simon, 704 Leary, 283 Ramanujan’s “Most Beautiful Identity”, Lost Counterexample and a Problem on Michael D. Hirschhorn, 839 Illuminated Polytopes, A, Ronald F. Really Simple Elementary Proof of the Wotzlaw and Ginter M. Ziegler, 534 Uniform Boundedness Theorem, A, Alan D. Mathematics in Historical Context. By Jeffrey Sokal, 450 Suzuki, reviewed by Peggy Aldrich Kidwell, Real Mathematical Analysis. By Charles 471 Chapman Pugh, reviewed by Jeffrey Mathematics of Doodling, The, Ravi Vakil, 116 Nunemacher, 186 Maximal Independent Sets and Separating Reconstruction from Medial Representations, Covers, Vincent Vatter, 418 P. J. Giblin and J. P. Warder, 712 Measurability Properties of Vitali Sets, A. B. Recursive Scheme for Improving the Original Kharazishvili, 693 Rate of Convergence to the Measurable Functions with a Given Set of Euler-Mascheroni Constant, A, Edward Integrability Exponents, Alfonso Villani, 77 Chlebus, 268 Meromorphic Continuation of Dirichlet Series Regular Matchstick Graphs, Sascha Kurz and via Derivations, Caleb Emmons, 551 Rom Pinchasi, 264 New Singular Function, A, Jaume Paradis, Remark on Euclid’s Theorem on the Infinitude Pelegri Viader, and Llufs Bibiloni, 344 of the Primes, A, Roger Cooke, 355 On a Problem of Ruderman, M. Ram Murty Repulsion Motif in Diophantine Equations, A, and V. Kumar Murty, 644 Graham Everest and Thomas Ward, 584 On Dickson’s Theorem Concerning Odd Roads and Wheels, Roulettes and Pedals, Fred Perfect Numbers, Paul Pollack, 161 Kuczmarski, 479 On Eventually Expanding Maps of the Interval, Semiperimeter and Pythagorean Triples, Peyman Eslami and Pawel Gora, 629 Russell A. Gordon, 680 On Forming Committees, P. Haxell, 777 Seventy-First William Lowell Putnam On Legendre’s Work on the Law of Quadratic Mathematical Competition, The, Leonard F. Reciprocity, Steven H. Weintraub, 210 Klosinski, Gerald L. Alexanderson, Loren On Polynomial Rings with a Goldbach C. Larson, and Mark Krusemeyer, 726 Property, Paul Pollack, 71 Sharkovsky Theorem: A Natural Direct Proof, On Sphere-Filling Ropes, Henryk Gerlach and The, Keith Burns and Boris Hasselblatt, 229 Heiko von der Mosel, 863 Short Proof and Generalization of Lagrange’s On the Banach-Steinhaus Theorem for Theorem on Continued Fractions, A, Sam Topological Groups, Semyon N. Litvinov, Northshield, 171 836 Short Proof of Cramér’s Theorem in R, A, On the Grasshopper Problem with Signed Raphaél Cerf and Pierre Petit, 925 Jumps, Géza K6s, 877 Simpler Proof of the Von Neumann Minimax On the Group of Automorphisms of a Group, Theorem, A, Hichem Ben-El-Mechaiekh Marian Deaconescu and Gary L. Walls, 452 and Robert W. Dimand, 636 On the Parity of a Permutation, R. K. Oliver, Solving Cubics With Creases: The Work of 734 Beloch and Lill, Thomas C. Hull, 307 Operator Reverse Monotonicity of the Inverse, The Mathematics of Sex: How Biology and Alexis Akira Toda, 82 Society Conspire to Limit Talented Women December 2011] INDEX TO VOLUME 118 955 and Girls. By Stephen J. Ceci and Wendy What’s Math Got To Do With It? By Jo Boaler, M. Williams, reviewed by Susan Jane reviewed by Virginia McShane Warfield, 92 Colley, 379 When Does Appending the Same Digit The Mathematics that Every Secondary Repeatedly on the Right of a Positive School Math Teacher Needs to Know. Integer Generate a Sequence of Composite By Alan Sultan and Alice F. Artzt, Integers? Lenny Jones, 153 reviewed by Richard Askey, When Is a Polynomial a Composition of Other 755 Polynomials? James Rickards, 358 Top Hat for Moser’s Four Mathemagical Where Are Limits Needed in Calculus? R. Rabbits, A, Pieter Moree, 364 Michael Range, 404 Two Extensions of Results of Archimedes, Why Eisenstein Proved the Eisenstein Criterion Nicholas Pippenger, 66 and Why Schonemann Discovered It First, Understanding Analysis. By Stephen Abbott, David A. Cox, 3 reviewed by Jeffrey Nunemacher, 186 Yueh-Gin Gung and Dr. Charles Y. Hu Award Unreasonable Slightness of E, over Imaginary for 2011 to Joseph A. Gallian for Quadratic Rings, The, Bogdan Nica, 455 Distinguished Service to Mathematics, Was Cantor Surprised? Fernando Q. Gouvéa, Barbara Faires, 195 198 What Every Mathematician Should Know about Standards-Based Tests, Alan Tucker, 434 AUTHOR INDEX Ackerman, Eyal, Rom Pinchasi, Ludmila Berndt, Bruce C., Chief Accountant and Scharf, and Marc Scherfenberg, Every Mathematical Friend of Ramanujan—S. Simple Arrangement of n Lines Contains an Narayana Aiyar, The, 767 Inducing Simple n-gon, 164 Bibiloni, Lluis, see Paradis Aitken, W., and F. Lemmermeyer, Counter- Bressoud, David M., Historical Reflections on examples to the Haase Principle, 610 Teaching the Fundamental Theorem of Alexanderson, Gerald L., see Klosinski Integral Calculus, 99 Apostol, Tom M., and Mamikon A. Brown, Tom, see Ardal Mnatsakanian, Complete Dissections: Burns, Keith, and Boris Hasselblatt, Converting Regions and Their Boundaries, Sharkovsky Theorem: A Natural Direct 789 Proof, The, 229 Ardal, Hayri, Tom Brown, and Veselin Jungic¢, Cao, Penghao, and Liping Yuan, Chaotic Orderings of the Rationals and Blichfeldt-type Theorem for H-Points, A, Reals, 921 743 Askey, Richard, reviewer, The Mathematics Cerf, Raphaél, and Pierre Petit, Short Proof of that Every Secondary School Math Teacher Cramér’s Theorem in R, A, 925 Needs to Know. By Alan Sultan and and Chan, Heng Huat, Ling Long, and YiFan Yang, Alice F. Artzt, 755 Cubic Analogue of the Jacobsthal Identity, Baginski, Paul, and Scott T. Chapman, A, 316 Factorizations of Algebraic Integers, Block Chang, Guisong, and Chen Xu, Generalization Monoids, and Additive Number Theory, and Probabilistic Proof of a Combinatorial 901 Identity, 175 Beardon, Alan F., Cyclic Absolute Differences Chapman, Scott T., see Baginski of Integers, 650 Chlebus, Edward, Recursive Scheme for Ben-El-Mechaiekh, Hichem, and Robert W. Improving the Original Rate of Convergence Dimand, Simpler Proof of the Von Neumann to the Euler-Mascheroni Constant, A, Minimax Theorem, A, 636 268 956 © THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 118 Colley, Susan Jane, reviewer, The Mathematics Polynomials, Ellipses, and Matrices: Two of Sex: How Biology and Society Conspire Questions, One Answer, 522 to Limit Talented Women and Girls. By Gouvéa, Fernando Q., Was Cantor Surprised? Stephen J. Ceci and and Wendy M. 198 Williams, 379 Griffiths, Martin, Golden String, Zeckendorf Cooke, Roger, Remark on Euclid’s Theorem on Representations, and the Sum of a Series, the Infinitude of the Primes, A, 355 The, 497 Cosgrave, John B., and Karl Dilcher, Hartshorne, Robin, reviewer, Continuous Introduction to Gauss Factorials, An, Symmetry: From Euclid to Klein. By 812 William Barker and Roger Howe, 565 Cox, David A., Why Eisenstein Proved the Hasselblatt, Boris, see Burns Eisenstein Criterion and Why Schonemann Haxell, P., On Forming Committees, 777 Discovered It First, 3 Hilden, H. M., J. M. Montesinos, D. M. Tejada, Deaconescu, Marian, and Gary L. Walls, On and M. M. Toro, Artifacts for Stamping the Group of Automorphisms of a Group, Symmetric Designs, 327 452 Hirschhorn, Michael D., Ramanujan’s “Most Dilcher, Karl, see Cosgrave Beautiful Identity”, 838 Dimand, Robert W., see Ben-El-Mechaiekh Hubbard, John H., and Benjamin E. Lundell, Drago, Giacomo, Pier Domenico Lamberti, First Look at Differential Algebra, A, 245 and Paolo Toni, “Bouquet” of Discontinuous Hull, Thomas C., Solving Cubics With Functions for Beginners in Mathematical Creases: The Work of Beloch and Lill, 307 Analysis, A, 799 Ivanov, Nikolai V., Arnol’d, the Jacobi Identity, Emmons, Caleb, Meromorphic Continuation of and Orthocenters, 41 Dirichlet Series via Derivations, 551 Johnson, Jennifer M., and Janos Kollar, How Eslami, Peyman, and Pawel Gora, On Small Can a Polynomial Be Near Infinity? Eventually Expanding Maps of the Interval, 22 629 Jones, Lenny, When Does Appending the Same Everest, Graham, and Thomas Ward, Digit Repeatedly on the Right of a Positive Repulsion Motif in Diophantine Equations, Integer Generate a Sequence of Composite A, 584 Integers? 153 Faires, Barbara, Yueh-Gin Gung and Dr. Jones, Rafe, Achievement Sets of Sequences, Charles Y. Hu Award for 2011 to Joseph A. 508 Gallian for Distinguished Service to Jungi¢, Veselin, see Ardal Mathematics, 195 Kager, Wouter, Hitting Time Theorem Falcone, Giovanni, and Marco Pavone, Revisited, The, 735 Kirkman’s Tetrahedron and the Fifteen Kalantari, Bahman, Geometric Modulus Schoolgirl Problem, 887 Principle for Polynomials, A, 931 Gamez-Merino, José L., Gustavo A. Keady, Grant, Lines of Best Fit for the Zeros Mufioz-Fernandez, and Juan B. and for the Critical Points of a Polynomial, Seoane-Septilveda, Characterization of 262 Continuity Revisited, A, 167 Kharazishvili, A. B., Measurability Properties Garcia, Stephan Ramon, Vincent of Vitali Sets, 693 Selhorst-Jones, Daniel E. Poore, and Noah Kidwell, Peggy Aldrich, reviewer, Simon, Quotient Sets and Diophantine Mathematics in Historical Context. By Equations, 704 Jeffrey Suzuki, 471 Gerlach, Henryk, and Heiko von der Mosel, On Klosinski, Leonard F., Gerald L. Alexanderson, Sphere-Filling Ropes, 863 Loren C. Larson, and Mark Krusemeyer, Giblin, P. J., and J. P. Warder, Reconstruction Seventy-First William Lowell Putnam from Medial Representations, 712 Mathematical Competition, The, 726 Glasby, S. P., Enumerating the Rationals from Kollar, Janos, see Johnson Left to Right, 830 Kés, Géza, On the Grasshopper Problem with Gora, Pawel, see Eslami Signed Jumps, 877 Gordon, Russell A., Semiperimeter and Krusemeyer, Mark, see Klosinski Pythagorean Triples, 680 Kuczmarski, Fred, Roads and Wheels, Gorkin, Pamela, and Elizabeth Skubak, Roulettes and Pedals, 479 December 2011] INDEX TO VOLUME 118 Kurz, Sascha, and Rom Pinchasi, Regular Pippenger, Nicholas, Two Extensions of Matchstick Graphs, 264 Results of Archimedes, 66 Lamberti, Pier Domenico, see Drago Pollack, Paul, On Polynomial Rings with a Larson, Loren C., see Klosinski Goldbach Property, 71 Leary, Christoper C., reviewer, Logical Pollack, Paul, On Dickson’s Theorem Labyrinths. By Raymond M. Smullyan, 283 Concerning Odd Perfect Numbers, 161 Lemmermeyer, F., see Aitken Poore, Daniel E., see Garcia Litvinov, Semyon N., On the Banach-Steinhaus Range, R. Michael, Where Are Limits Needed Theorem for Topological Groups, 836 in Calculus? 404 Long, Ling, see Chan Richey, Matthew, reviewer, Elementary Lundell, Benjamin E., see Hubbard Probablity for Applications. By Rick MacMillan, Kieren, and Jonathan Sondow, Durrett, 854 Proofs of Power Sum and Binomial Rickards, James, When Is a Polynomial a Coefficient Congruences via Pascal’s Composition of Other Polynomials? 358 Identity, 549 Robinson, Geoffrey R., Cauchy’s Theorem and Mnatsakanian, Mamikon A., see Apostol Sylow’s Theorem from the Cyclic Case, 448 Montesinos, J. M., see Hilden Ross, Kenneth A., Benford’s Law, A Growth Moree, Pieter, Top Hat for Moser’s Four Industry, 571 Mathemagical Rabbits, A, 364 Ryba, Aiexander, and Joseph Stern, Miller, Markus, and Dierk Schleicher, How to Equimodular Polynomials and the Add a Noninteger Number of Terms: From Tritangency Theorems of Euler, Feuerbach, Axioms to New Identities, 136 and Guinard, 217 Mufioz-Fernandez, Gustavo A., see Sarnak, Peter, Integral Apollonian Packings, Gdmez-Merino 291 Murty, M. Ram, and V. Kumar Murty, On a Scharf, Ludmila, see Ackerman Problem of Ruderman, 644 Scherfenberg, Marc, see Ackerman Murty, V. Kumar, see Murty, M. Ram Schleicher, Dierk, see Miiller Nica, Bogdan, Unreasonable Slightness of E> Selhorst-Jones, Vincent, see Garcia over Imaginary Quadratic Rings, The, 455 Seoane-Septilveda, Juan B., see Gdmez-Merino Northshield, Sam, Short Proof and Short, Ian, Ford Circles, Continued Fractions, Generalization of Lagrange’s Theorem on and Rational Approximation, 130 Continued Fractions, A, 171 Simmons, Charlotte, see Ozaydin Nunemacher, Jeffrey, reviewer, Real Simon, Noah, see Garcia Mathematical Analysis. By Charles Skopenkov, M., Packing a Cake into a Box, 424 Chapman Pugh, 186 Skubak, Elizabeth, see Gorkin Nunemacher, Jeffrey, reviewer, Understanding Sokal, Alan D., Really Simple Elementary Analysis. By Stephen Abbott, 186 Proof of the Uniform Boundedness Odlyzko, Andrew, reviewer, Experimental Theorem, A, 450 Mathematics in Action. By D. H. Bailey, J. Sondow, Jonathan, see MacMillan M. Borwein, N. J. Calkin, R. Girgensohn, D. Sterling, Ethan, see Pach R. Luke, and V. H. Moll, 946 Stern, Joseph, see Ryba Oliver, R. K., On the Parity of a Permutation, Tejada, D. M., see Hilden 734 Thangadurai, R., and A. Vitwani, Least Prime Ozaydin, Murad, and Charlotte Simmons, Congruent to One Modulo n, The, 737 Birthday Trick with Lies, The, 667 Toda, Alexis Akira, Operator Reverse Pace, Luigi, Probabilistically Proving that Monotonicity of the Inverse, 82 ¢(2) = 27/6, 641 Toni, Paolo, see Drago Pach, Janos, and Ethan Sterling, Conway’s Torchinsky, Alberto, Fourier Transform and the Conjecture for Monotone Thrackles, 544 Wave Equation, The, 599 Paradis, Jaume, Pelegri Viader, and Lluis Toro, M. M., see Hilden Bibiloni, New Singular Fuaction, A, 344 Tucker, Alan, What Every Mathematician Pavone, Marco, see Falcone Should Know about Standards-Based Tests, Petit, Pierre, see Cerf 434 Pinchasi, Rom, see Ackerman Vakil, Ravi, Mathematics of Doodling, The, Pinchasi, Rom, see Kurz 116 958 © THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 118 Vatter, Vincent, Maximal Independent Sets and Weintraub, Steven H., On Legendre’s Work on Separating Covers, 418 the Law of Quadratic Reciprocity, 210 Vatwani, A., see Thangadurai Winkler, Peter, reviewer, Famous Puzzles of Viader, Pelegri, see Paradis Great Mathematicians. By Miodrag S. Villani, Alfonso, Measurable Functions with Petkovi¢, 661 a Given Set of Integrability Exponents, Wotzlaw, Ronald F., and Giinter M. Ziegler, 77 Lost Counterexample and a Problem on von der Mosel, Heiko, see Gerlach Illuminated Polytopes, A, 534 Walls, Gary L., see Deaconescu Xu, Chen, see Chang Ward, Thomas, see Everest Yang, YiFan, see Chan Warder, J. P., see Giblin Yuan, Liping, see Cao Watkins, David S., Francis’s Algorithm, 387 Ziegler, Ginter M., see Wotzlaw PROBLEMS PROPOSED Aharanov, D. & U. Elias, 936, 11608 Galvin, Fred & Péter Komjath, 748, 11599 Alekseyev, Max A. & Frank Ruskey, 84, 11544 Hajja, Mowaffaq, 748, 11598 Banakh, Taras & Igor Protasov, 653, 11588 Herschhorn, Michael D., 846, 11600 Barboianu, Catalin, 653, 11589 Holing, Kent, 371, 11566 Bataille, Michel, 275, 11559 Holing, Kent, 847, 11606 Bataille, Michel, 748, 11597 Holland, Finbarr, 372, 11571 Beckwith, David, 558, 11583 lli¢, Aleksander, 557, 11582 Bencze, Mihaly, 178, 11553 Ivan, Mircea, 654, 11592 Bibak, Khodokhast, 653, 11590 lonin, Yury see Galperin Bracken, Paul, 937, 11612 Jiang, Weidong, 178, 11552 Bresniker, Kirk & Stan Wagon. 372, 11570 Jones, Lenny see White Burdick, Bruce, 558, 11585 Kauers, Manuel & Sheng-Lan Ko, 84, 11545 Callan, David, 371, 11567 Ko, Sheng-Lan see Kauers Capitan, Francisco Javier Garcia & Juan Bosco Komjath, Péter see Galvin Romero Marquez, 84, 11547 Konstantopoulos, Takis, 653, 11586 Cavachi, Marius, 179, 11557 Lagarias, Jeffrey see Derksen Ciupan, Andrei & Bozgan Francisc, 653, Lagarias, Jeffrey & Andrey Mischenko, 936, 11587 11607 Covo, Shai, 371, 11565 Le, Tuan, 463, 11575 Croft, Hallard & Sateesh Mane, 557, 11579 Lupu, Cezar, 276, 11561 Cuculiére, Roger, 464, 11578 Lupu, Cezar & Tudorel Lupu, 85, 11548 Dalyay, Pal Péter, 179, 11556 Lupu, Tudorel see Lupu, Cezar Dalyay, Pal Péter, 276, 11562 MacMillan, Kieren & Jonathan Sondow, 84, Dalyay, Pal Péter, 464, 11577 11546 Dalyay, Pal Péter, 847, 11604 Mane, Sateesh see Croft Derksen, Harm & Jeffrey Lagarias, 747, 11594 Marquez, Juan Bosco Romero see Capitan Derksen, Harm & Jeffrey Lagarias, 846, 11601 Matei, Vlad, 276, 11563 Deshpande, M.N., 936, 11609 McFarland, Andrew, 275, 11558 Diaz-Barrero, José Luis see Sanchez McGrath, Peter, 747, 11593 Elias, U. see Aharonov Mehrabi, M.H., 372, 11569 Farrokhi D.G., M., 463, 11574 Mischenko, Andrey see Lagarias Foster, Kurt, 372, 11568 Morris, Stephen & Stan Wagon, 937, 11613 Francisc, Bozgan see Ciupan Mortini, Raymond & Jéréme Noel, 558, 11584 Furdui, Ovidiu, 937, 11611 N6el, Jéréme see Mortini Galperin, Gregory & Yury Ionin, 178, 11551 Ohanyan, Victor, 747, 11595 Galperin, Gregory & Yury Ionin, 275, 11560 Pratt, Rob, 463, 11573 December 2011] INDEX TO VOLUME 118 Protasov, Igor see Banakh Tetiva, Marian, 85, 11549 Ruskey, Frank see Alekseyev Tetiva, Marian, 847, 11605 Sahin, Mehmet, 748, 11596 Thong, Duong Viet, 178, 11555 Sakmar, Sam, 463, 11572 Thong, Duong Viet, 557, 11581 Sanchez, David Alfaya & José Luis Toth, Laszlo, 463, 11576 Diaz-Barrero, 557, 11580 Tetiva, Marian, 85, 11549 Siboni, Stefano, 85, 11550 Villani, Alfonso, 847, 11603 Sondow, Jonathan see MacMillan Wagon, Stan see Bresniker Stadler, Albert, 371, 11564 Wagon, Stan see Morris Stanley, Richard P., 937, 11610 White, Dan & Lenny Jones, 654, 11591 Tauraso, Roberto, 846, 11602 Yun, Zhang, 178, 11554 PROBLEMS SOLVED Andersen, Kenneth F., 88 Lindsey II, John H., 377 Bagby, Richard, 468, 658, 752 Lossers, O.P., 87, 89, 560 Barclays Capital Quantitative Analytics Group, Martin, Reiner, 655 944 Nakhash, Achava, 374 Barr, Michael, 753 NSA Problems Group, 656 Benjamin, Philip, 278 Niiesch, P., 561 BSI Problems Group, 749 Petrosyan, Armenak & Richard Stong Caro, Nicolas, 276, 943 (composite solution), 91 Chapman, Robin, 180, 560, 654, 657, 847, 937 Pité, Eric, 89 Chen, Hongwei, 179 Pohoata, Cosmin, 467 Curtis, Chip, 90, 558 Pranesachar, C.R., $7 Dalyay, Pal Péter, 849, 942 Prasad, M.A., 850, 851 Delcourt, Michelle, 659 Simons, Jim, 182, 183, 277, 278 Dinca, Marian, 748 Singer, Nicholas C., 940 FAU Problem Solving Group, 378 Smith, John H., 943 Garcia, Vicente Vacario, 852 Stenger, Allen, 470 GCHQ Problem Solving Group, 465, 469 Stong, Richard, 86, 89, 372, 466, 562, 658, Geupel, Oliver, 185, 465, 468, 559 660, 852 Grivaux, Julien, 464 Stong, Richard, see Petrosyan Grossman, Jerrold W., 750 Tejedor, Jaime Vinuesa, 751 Heckman, Christopher Carl, 376 Texas State University Probl:m Solvers Group, Howard, Ralph, 183 282 Jurca, Dan, 465 Tyler, Douglas B., 85, 850 Kouba, Omran, 279, 465, 941 Vial, Francisco, 280 Kumar, A., 372 Vowe, Michael, 281 Linders, J.C., 374, 655 SOLUTIONS January, 2011 11408, 87 11382, 85 11430, 88 11388, 86 11431, 89 11407, 87 11432, 89 © THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 118 11435, 90 11470, 559 11439, 91 11472, 560 February, 2011 11473, 560 11438, 179 11476, 561 11440, 180 11479, 562 11441, 182 August-September, 2011 11442, 183 11444, 654 11447, 183 11445, 655 11456, 185 11446, 655 March, 2011 11451, 656 11403, 276 11452, 657 11434, 277 11453, 658 11443, 278 11454, 659 11449, 278 11474, 660 11450, 279 October, 2011 11458, 280 11460, 748 11461, 281 11463, 749 11465, 282 11464, 750 April, 2011 11467, 751 11411, 372 11480, 752 11420, 374 11481, 753 11421, 374 November, 201 | 11424, 376 11482, 847 11425, 377 11486, 849 11457, 378 11492, 850 May, 2011 11494, 850 11428, 464 11497, 851 11433, 465 11501, 852 11436, 465 11502/11513, 852 11437, 466 December, 2011 11448, 467 11294, 937 11459, 468 11504/115129,4 0 11462, 468 11506, 941 11468, 469 11514, 942 11469, 470 11515, 943 June-July, 2011 11518, 944 11449, 558 The MONTHLY expresses its appreciation to the following people for their help in refereeing during the past year.We could not function successfully without such people and their hard work. Abramovich, Shoshana Andres, Dominique Avigad, Jeremy Adamchik, Victor Andrews, George Axtell, Michael Adams, Colin Anghel, Nicolae Bagby, Richard Aigner, Martin Apostol, Tom Baginski, Paul Akeroyd, John Ardila, Federico Ball, Keith Albrecht, Ulrich Arndt, Jorg Banchoff, Thomas Alon, Noga Arnold, Barry Barbeau, Edward Alperin, Roger Aschbacher, Michael Barnard, Roger Anderson, David Ash, Marshall Barvinok, Alexander Andreescu, Titu Askey, Richard Bates, Bruce December 2011] INDEX TO VOLUME 118