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The American Mathematical Monthly, Volume 112
Volume 112, Number 1, January 2005
- William Dunham:
Touring the Calculus Gallery. 1-19 - Marcel Wild:
The Groups of Order Sixteen Made Easy. 20-31 - Shif Berhanu, Ahmed Mohammed:
A Harnack Inequality for Ordinary Differential Equations. 32-41 - Janko Hernández, Leonel Robert:
Figures of Constant Width on a Chessboard. 42-50 - H. S. Bear, Dale Myers:
A Simpler Approach to Integration and the Fubini Theorem. 51-60
- Jonathan Sondow:
Double Integrals for Euler's Constant and in and an Analog of Hadjicostas's Formula. 61-65 - Dan Romik:
Roots of the Derivative of a Polynomial. 66-69 - Joel L. Weiner, George R. Wilkens:
Quaternions and Rotations in. 69-76 - José Carlos de Sousa, Oliveira Santos:
Another Proof of the Fundamental Theorem of Algebra. 76-78
- V. F. Kagan:
Riemann's Geometric Ideas. 79-86
- Bogdan Nica:
Problem 11124. 87 - Shahin Amrahov:
Problem 11125. 87 - James S. Weber:
Problem 11126. 87 - Li Zhou:
Problem 11127. 87 - Tom M. Apostol:
Problem 11128. 88 - Yongge Tian:
Problem 11129. 88 - Paul Bateman:
Problem 11130. 88
- Wu Wei Chao, O. P. Lossers:
Point Causing Equal Angles: 10996. 88 - Victor Pambuccian, Michael Wolterman:
Saccheri Quadrilateral: 11004. 88-89 - Marty Getz, Dixon Jones, Ken Dutch:
Partitioning by Arithmetic Progressions: 11005. 89-90 - Bogdan Suceava, Daniele Donini:
A Circle Centered on the Euler Circle: 11006. 90-91 - José Luis Díaz-Barrero, Juan José Egozcue, Arturas Dubickas:
Zero and Coefficient Inequality: 11008. 91-92 - David Borwein, Julien Grivaux:
Convex and Concave Functions: 11009. 92-93 - Erwin Just, Norman Schaumberger, et al.:
Regular Polygon Inscription: 11010. 93-94
- Steve Kennedy:
Turing: A Novel About Computation by Christos H. Papadimitriou. 95-98 - Marion Deutsche Cohen:
The Magic of Numbers by Benedict Gross; Joe Harris. 98-101
Volume 112, Number 2, February 2005
- Gregory S. Warrington:
Juggling Probabilities. 105-118 - Alex D. D. Craik:
Prehistory of Faà di Bruno's Formula. 119-130 - Paolo Codecà, Mohan Nair:
The Lesser-Known Δ-Function in Number Theory. 131-140 - Juan Carlos Álvarez Paiva, Anthony Thompson:
On the Perimeter and Area of the Unit Disc. 141-154 - Ian Doust, Michael D. Hirschhorn, Jocelyn Ho:
Trigonometric Identities, Linear Algebra, and Computer Algebra. 155-164
- Connie Maude Campbell, William Staton:
A Square-Packing Problem of Erdős. 165-167 - Laurentiu Panaitopol:
On the Representation of Natural Numbers as Sums of Squares. 168-171 - Jiu Ding, Temple H. Fay:
The Perron-Frobenius Theorem and Limits in Geometry. 171-175 - Piotr Hajlasz, Pawel Strzelecki:
How to Measure Volume with a Thread. 176-179
- N. G. de Bruijn:
Problem 11131. 180 - Jonathan Sondow:
Problem 11132. 180 - Paul Bracken:
Problem 11133. 180 - Kent D. Boklan:
Problem 11134. 180 - Ray Redheffer:
Problem 11135. 181 - Raymond Mortini:
Problem 11136. 181 - Vicentiu D. Radulescu:
Problem 11137. 181
- Donald P. Minassian:
Baire Class One: 10999. 181-182 - George Lamb, Zafar Ahmed:
An Application of the Gaussian Integral: 11011. 182-183 - Calin Popescu, Chu Wenchang:
Cube Sum Inequalities: 11012. 183-184 - David Callan, Marc Renault:
Dyck Paths Skipping Every Fourth Point: 11013. 184 - Achilleas Sinefakopoulos, Knut Dale:
A Recursively Defined Series: 11014. 184-185 - Ovidiu Furdui, Li Zhou:
Sines in a Triangle: 11015. 185-186 - C. R. Pranesachar, Saïd Amghibech:
When the Brocard Points Are Collinear with a Vertex: 11017. 186-187
- Eric S. Weber:
An Introduction to Frames and Riesz Bases by Ole Christensen. 188-191 - Jeffrey Nunemacher:
Geometry by David A. Brannan; Matthew F. Esplen; Jeremy J. Gray. 191-194
Volume 112, Number 3, March 2005
- Robert E. Megginson:
Yueh-Gin Gung and Dr. Charles Y. Hu Award to Gerald L. Alexanderson for Distinguished Service to Mathematics. 197-199 - Roger C. Alperin:
Trisections and Totally Real Origami. 200-211 - John Bryk, Cesar E. Silva:
Measurable Dynamics of Simple p-adic Polynomials. 212-232 - Ivor Grattan-Guinness:
The "Ecole Polytechnique", 1794-1850: Differences over Educational Purpose and Teaching Practice. 233-250 - William Duke, Kimberly Hopkins:
Quadratic Reciprocity in a Finite Group. 251-256
- Shay Gueron, Itai Shafrir:
A Weighted Erdős-Mordell Inequality for Polygons. 257-263 - Luo Xuebo, Zhu-Jun Zheng:
An Inequality for Homogeneous Polynomials on. 264-266 - Peter G. Anderson, Arthur T. Benjamin, Jeremy A. Rouse:
Combinatorial Proofs of Fermat's, Lucas's, and Wilson's Theorems. 266-268 - Kurt Girstmair:
On an Irreducibility Criterion of M. Ram Murty. 269-270 - Robert J. MacG. Dawson:
On a "Singular" Integration Technique of Poisson. 270-272
- Roberto Tauraso:
Problem 11138. 273 - Grahame Bennett:
Problem 11139. 273 - Walther Janous:
Problem 11140. 273 - Richard Bagby:
Problem 11141. 273 - Donald E. Knuth:
Problem 11142. 273-274 - Alexander Dubinov, Irina Dubinova:
Problem 11143. 274 - Ernst Schulte-Geers:
Problem 11144. 274 - Joel Zinn:
Problem 11076. 274 - Bob Berk, Larry Shepp:
Problem 11120. 274 - Arturas Dubickas:
Problem 11123. 274
- Slavko Simic, Richard Stong:
Entire Functions of Order Zero: 11018. 274-277 - Bernardo Recamán Santos, Michail Reid, Kevin Ford:
Cycling via Common Divisors: 11019. 277-278 - Donald E. Knuth, Silvia Fernández, Gerry Myerson:
A Modular Triple: 11021. 279-280 - Razvan A. Satnoianu, Walther Janous:
A Two-Triangle Inequality: 11022. 280 - Wu Wei Chao, Nadjib Bouzar, Allan K. Swett:
A Timely Problem: 11023. 280
- Gerald B. Folland, Jeffrey L. Stuart:
Linear Algebra by John B. Fraleigh; Raymond A. Beauregard; Linear Algebra and its Applications by David Lay; Linear Algebra: A Geometric Approach by Theodore Shifrin; Malcolm R. Adams; Introduction to Linear Algebra by Gilbert Strang. 281-288
Volume 112, Number 4, April 2005
- Don Shimamoto, Catherine Vanderwaart:
Spaces of Polygons in the Plane and Morse Theory. 289-310 - Edward B. Burger:
A Tail of Two Palindromes. 311-321 - Sherman Stein:
Remarks on the Gravity Equation. 322-333 - Christopher S. Simons:
An Elementary Approach to the Monster. 334-341 - Daniel J. Velleman:
The Generalized Simpson's Rule. 342-350
- Boris Mirman:
Sufficient Conditions for Poncelet Polygons Not to Close. 351-356 - Jürgen Kindler:
A Simple Proof of Sion's Minimax Theorem. 356-358 - John Clifford, David James, Michael A. Lachance, Joan Remski:
A Constructive Approach to Singular Value Decomposition and Symmetric Schur Factorization. 358-363 - Marco Dall'Aglio, Fabio Maccheroni:
Fair Division without Additivity. 363-365
- Joel Zinn:
Problem 11145. 366 - Yongge Tian:
Problem 11146. 366 - Pamela Gorkin:
Problem 11147. 366 - M. L. Glasser:
Problem 11148. 366 - Mircea Ivan, Ioan Rasa:
Problem 11149. 367 - Emeric Deutsch:
Problem 11150. 367 - Donald E. Knuth:
Problem 11151. 367
- Jonathan Sondow, Richard Stong, Julien Grivaux:
An Identity Involving Harmonic Numbers: 11026. 367-369 - H. Reuvers, Li Zhou, A. Engle:
Triangles Inscribed in a Circle: 11027. 369-370 - Götz Trenkler, Gary P. Shannon:
Hermitian Products of Hermitian Matrices: 11028. 370-371 - Steven Butler, Bruce R. Ebanks:
A Functional Equation: 11030. 371-372 - Li Zhou, Robin Chapman:
Monster Mean Tamed: 11031. 372-373
- David E. Rowe:
Mathematicians under the Nazis by Sanford L. Segal. 374-381
Volume 112, Number 5, May 2005
- Arturo Magidin, David McKinnon:
Gauss's Lemma for Number Fields. 385-416 - Florian L. Deloup:
The Fundamental Group of the Circle Is Trivial. 417-425 - Antonio Behn, Christopher Kribs-Zaleta, Vadim Ponomarenko:
The Convergence of Difference Boxes. 426-439 - Paul E. Becker:
Do Normal Subgroups Have Straight Tails? 440-449
- Raghib M. Abu-Saris, Wajdi Ahmad:
Avoiding Eigenvalues in Computing Matrix Powers. 450-454 - Francesc Comellas, José Luis Andres Yebra:
Exact Solutions for Minimax Optimization Problems. 454-458 - F. G. Avkhadiev:
A Simple Proof of the Gauss-Winckler Inequality. 459-462 - Mowaffaq Hajja:
Copositive Symmetric Cubic Forms. 462-466
- Mircea Ivan:
Problem 11152. 467 - Paul Bracken:
Problem 11153. 467 - Kent Holing:
Problem 11154. 467 - Emmanuel Kowalski:
Problem 11155. 467 - Richard P. Stanley:
Problem 11156. 467-468 - Hillel Gauchman:
Problem 11157. 468 - David Beckwith:
Problem 11158. 468
- Juan-Bosco Romero Márquez, Martin E. Muldoon:
Gamma Function Bounds: 11016. 468 - Tim Keller, Doyle Henderson:
One Good Factorization Deserves Another: 11029. 469 - Mark Pinsky, Nicholas Singer:
The Stationary Distribution of a Tridiagonal Row-Stochastic Matrix: 11032. 469-470 - M. N. Deshpande, R. M. Welukar, Richard Stong:
Expansion by Inclusion-Exclusion: 11033. 470-472 - Omer Yayenie, Joe Geiman:
Evaluation of an Integral: 11035. 472-473 - M. L. J. Hautus, Julien Grivaux:
Shrinking Fréchet Differentiable Maps: 11037. 473-474 - Floor van Lamoen, Michel Bataille:
Morley's Triangle and Lemma: 11038. 474
- Daniel J. Madden:
Abstract Algebra by Ronald Solomon; Integers, Polynomials and Rings by Ronald S. Irving. 475-478 - John Sylvester:
Introduction to the Mathematics of Medical Imaging by Charles L. Epstein. 479-480
Volume 112, Number 6, June - July 2005
- Arthur T. Benjamin, Naiomi T. Cameron:
Counting on Determinants. 481-492 - Jonathan M. Borwein, Kwok-Kwong Stephen Choi, Wilfried Pigulla:
Continued Fractions of Tails of Hypergeometric Series. 493-501 - Michel Balinski:
What Is Just? 502-511
- Nathaniel Grossman:
A Lagrange Inversion Theorem. 512-514 - Mark A. Pinsky:
Mean Values and the Maximum Principle: A Proof in Search of More Theorems. 515-521 - Hiroshi Maehara, Tudor Zamfirescu:
On the Perimeter of a Triangle in a Minkowski Plane. 521-522 - Daniel Frohn:
A (K)-Ring Satisfying the Ascending Chain Condition on Principal Ideals That Is Not a Principal Ideal Ring. 523-524 - Lee Lorch:
Continuous Ranking of Zeros of Cylinder Functions. 524-525
- Viktor Blåsjö:
The Isoperimetric Problem. 526-566
- George Lamb:
Problem 11159. 567 - Marc Chamberland:
Problem 11160. 567 - Emeric Deutsch:
Problem 11161. 567 - Paolo Perfetti:
Problem 11162. 567 - Michel Bataille:
Problem 11163. 567 - José Luis Díaz-Barrero:
Problem 11164. 568 - Yogesh More:
Problem 11165. 568
- William P. Wardlaw, Richard Stong:
Adjoint over the Smallest Field: 11034. 568-569 - M. L. Glasser, George Lamb:
One Easy, One Hard: 11036. 569-572 - Noah A. Rosenberg, Richard Bagby:
Integral over a Simplex: 11039. 572-573 - Yongge Tian, et al.:
Range Identities for Hermitian Idempotent Matrices: 11040. 573 - M. N. Deshpande, John Henry Steelman:
An Invariance of Variance over Expectation: 11042. 573-574
- D. J. H. Garling:
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities by J. Michael Steele. 575-579 - Loukas Grafakos:
Constantin Carathéodory: Mathematics and Politics in Turbulent Times by Maria Georgiadou. 579-581
Volume 112, Number 7, August - September 2005
- Kang-Tae Kim, Steven G. Krantz:
The Automorphism Groups of Domains. 585-601 - Greg Dresden, Wayne M. Dymàcek:
Finding Factors of Factor Rings over the Gaussian Integers. 602-611 - Dov Aharonov, Alan F. Beardon, Kathy Driver:
Fibonacci, Chebyshev, and Orthogonal Polynomials. 612-630 - Stephen T. Ahearn:
Tolstoy's Integration Metaphor from War and Peace. 631-638
- Mark Finkelstein, Robert Whitley:
Eigenvalues, Almost Periodic Functions, and the Derivative of an Integral. 639-641 - João Araújo, James D. Mitchell:
An Elementary Proof That Every Singular Matrix Is a Product of Idempotent Matrices. 641-645 - Michael J. Grady:
A Group Theoretic Approach to a Famous Partition Formula. 645-651 - David A. Ross:
An Elementary Proof of Lyapunov's Theorem. 651-653
- Greg Oman:
Problem 11166. 654 - Vicentiu D. Radulescu:
Problem 11167. 654 - Kent Holing:
Problem 11168. 654 - Mohammad Hossein Mehrabi:
Problem 11169. 654 - Emeric Deutsch:
Problem 11170. 655 - Chu Cheng:
Problem 11171. 655 - Heinz-Jürgen Seiffert:
Problem 11172. 655
- Óscar Ciaurri, Florin Boca:
Hyperbolic-Looking Special Functions: 11041. 655-657 - Michael Golomb:
Don't the Problem Ebitees Read the Monthly? 11043. 657 - Michel Bataille, Li Zhou:
A Combinatorial Sum Goes on Tangent: 11044. 657-659 - Matthias Beck, Marcin Mazur, Shelemyahu Zacks:
"Ordinary" Spherical Triangles: 11048. 659-660 - Vasile Mihai, Zoltán Vörös:
One of the Morley Triangles: 11049. 660-661 - Wu Wei Chao:
Two Functional Equations: 11053. 661-662 - Razvan A. Satnoianu, Daniele Donini:
Medians and Altitudes and the Sum of the Radii: 11055. 662-663
- Kenneth B. Stolarsky:
Analytic Theory of Polynomials by Qazi Ibadur Rahman; Gerhard Schmeisser; Complex Polynomials by Terry Sheil-Small. 664-671
Volume 112, Number 8, October 2005
- Karl Dilcher, Kenneth B. Stolarsky:
A Pascal-Type Triangle Characterizing Twin Primes. 673-681 - David A. Cox, Jerry Shurman:
Geometry and Number Theory on Clovers. 682-704 - George Leibman:
A Nonstandard Proof of the Fundamental Theorem of Algebra. 705-712 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
The Sixty-Fifth William Lowell Putnam Mathematical Competition. 713-725
- N. V. Rao:
The Stone-Weierstrass Theorem Revisited. 726-729 - Jonathan Sondow:
A Faster Product for and a New Integral for ln. 729-734 - I. M. Isaacs, Mohammad Reza Pournaki:
Generalizations of Fermat's Little Theorem via Group Theory. 734-740 - Geoffrey Brown:
Convexity and Minkowski's Inequality. 740-742
- Boris A. Rosenfeld:
The Analytic Principle of Continuity. 743-748
- M. N. Deshpande:
Problem 11173. 749 - Pál Péter Dályay:
Problem 11174. 749 - William Calbeck:
Problem 11175. 749 - Oleg Faynshteyn:
Problem 11176. 749 - Dorin Marghidanu:
Problem 11177. 750 - Jon Louis Bentley, Colin L. Mallows:
Problem 11178. 750 - David Beckwith:
Problem 11179. 750
- Manoj Prakash Singh, Richard Stong:
A Prime Summandification of n: 11045. 750-751 - Syrous Marivani, O. P. Lossers:
Modular Sequences Defined by Polynomials: 11047. 751 - Shahin Amrabov, Bernardo M. Ábrego:
An Application of Fermat's Little Theorem: 11054. 751 - John H. Lindsey II, Omran Kouba:
Maximum Compared to Average: 11056. 752 - Óscar Ciaurri, O. P. Lossers:
A Vanishing Infinite Sum: 11058. 752-753 - Matthew E. Coppenbarger:
"Little Boxes Made of Ticky-Tacky": 11060. 753-754 - Kenneth Schilling:
Powered Divergence: 11062. 754-755 - John E. Wetzel, Li Zhou:
Lengths of Wrapped Curves: 11064. 755 - Douglas B. Tyler, Robin Chapman:
A More General Presentation: 11065. 755-756
- Judith V. Grabiner:
From Newton to Hawking: A History of Cambridge University's Lucasian Professors of Mathematics by Kevin C. Knox; Richard Noakes. 757-762
Volume 112, Number 9, November 2005
- Ibtesam Bajunaid, Joel M. Cohen, Flavia Colonna, David Singman:
Function Series, Catalan Numbers, and Random Walks on Trees. 765-785 - Dan Kalman:
Virtual Empirical Investigation: Concept Formation and Theory Justification. 786-798 - Nikolai V. Ivanov:
A Differential Forms Perspective on the Lax Proof of the Change of Variables Formula. 799-806 - Roger C. Alperin:
The Modular Tree of Pythagoras. 807-816
- Ray Redheffer:
The Behavior of Solutions near a Stable or Semistable Stationary Point. 817-822 - Michael Nyblom:
More Nested Square Roots of 2. 822-825 - A. R. Naghipour:
A Simple Proof of Cohen's Theorem. 825-826 - Thierry Coquand, Henri Lombardi:
A Short Proof for the Krull Dimension of a Polynomial Ring. 826-829 - Robert Myers:
An Elementary Proof of Joris's Theorem. 829-831
- Michael Monastyrsky:
Some Remarks on "Mathematics at the Tlirn of the Millennium". 832-838
- Suat Namli:
Problem 11180. 839 - M. N. Deshpande:
Problem 11181. 839 - Shahin Amrahov:
Problem 11182. 839 - David Beckwith:
Problem 11183. 839 - Slavko Simic:
Problem 11184. 840 - Rainer Brück:
Problem 11185. 840 - Angelo J. Christino Jr., William C. Waterhouse:
Problem 11186. 840
- Kent Holing, Richard Stong:
A Special Set of Integer Points in Space: 11050. 840-841 - Slavko Simic, John H. Lindsey II:
Equivalent Asymptotics: 11063. 841-843 - George Lamb, O. P. Lossers:
Integral by Mellin Transform: 11067. 843-844 - Herbert S. Wilf, Kenneth Schilling:
Think Rationally: 11068. 844-845 - George Lamb, T. K. Callahan:
Evaluate an Integral: 11072. 845-846
- J. David Logan:
Mathematical Models in Biology by Elizabeth S. Allman; John A. Rhodes. 847-850 - Virginia McShane Warfield:
Count Down: Six Kids Vie for Glory at the World's Toughest Math Competition by Steve Olson. 850-851
Volume 112, Number 10, December 2005
- Volume Information.
- Lisa D. Humphreys, P. Joseph McKenna:
When a Mechanical Model Goes Nonlinear: Unexpected Responses to Low-Periodic Shaking. 861-875 - Eric Driver, Philip A. Leonard, Kenneth S. Williams:
Irreducible Quartic Polynomials with Factorizations modulo p. 876-890 - Stephen M. Zemyan:
On the Zeroes of the Nth Partial Sum of the Exponential Series. 891-909
- Jan J. Dijkstra:
On Homeomorphism Groups and the Compact-Open Topology. 910-912 - Zhibo Chen, Gary L. Mullen:
Transpositions and Representability. 913-919 - Oleg Pikhurko:
Generating Edge-Labeled Trees. 919-921 - Adrian Dumitrescu:
A Remark on the Erdős-Szekeres Theorem. 921-924 - Seon-Hong Kim:
On the Moduli of the Zeros of a Polynomial. 924-925
- Leif Arkeryd:
Nonstandard Analysis. 926-928
- Li Zhou:
Problem 11187. 929 - David Bailey:
Problem 11188. 929 - Lajos Csete:
Problem 11189. 929 - José Luis Díaz-Barrero:
Problem 11190. 929 - Barthel Wayne Huff:
Problem 11191. 929-930 - Brett Stevens:
Problem 11192. 930 - Marian Tetiva:
Problem 11193. 930
- Floor van Lamoen:
Six Surprises from Four Lines: 11025. 930-932 - Sebastian M. Cioaba, Tim LeSaulnier, Dan Saracino:
A Sufficient Condition for Commutativity: 11066. 932-933 - Péter Ivády, Richard Stong:
Sine Bound: 11069. 933 - Götz Trenkler, Lawrence J. Baker:
An Easy Complex Inequality: 11075. 933 - Gheorge Costovici, Uros Milutinovic:
An Oscillating Sequence: 11077. 934 - Razvan A. Satnoianu, Li Zhou:
A Majorization Consequence: 11080. 934-935 - Stephen Morse, Robin Chapman:
Harmonious Trios Are the Vertices of a Regular Icosahedron: 11081. 935 - Michael Golomb, Kit Hanes:
The Orthocenter of a Simplex: 11087. 936 - Wu Wei Chao:
Errata: Continuous Additive Functions. 936 - Marty Getz, Dixon Jones:
Errata: Partitioning by Arithmetic Progressions. 936
- Gerald B. Folland:
Functional Analysis by Peter D. Lax; John Wiley; Functional Analysis: An Introduction by Yuli Eidelman; Vitaly Milman; Antonis Tsolomitis. 937-940 - Bruce P. Palka:
Editor's Endnotes. 941-946
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