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Content
June 2022, Volume 44, Issue 2
- 150-152 A Note on the Remarkable Expression of the Number $${8}/{\pi ^2}$$ 8 / π 2 That the Ramanujan Machine Discovered
by Miroslav Kureš - 153-160 I Can See the Ellipsoid from the Inside: Girtonian Responses to Francis Galton’s Survey on Mental Imagery
by Jemma Lorenat - 161-161 Whether
by Chandler Davis - 162-169 The Mathematical Art of Change Ringing
by Marjorie Batchelor & Jim Henle - 172-174 The Case of Academician Nikolai Nikolaevich LuzinEdited by Sergei S. Demidov and Boris V. Lëvshin. Translated from the Russian by Roger Cooke
by Alexey Glutsyuk - 175-180 Meeting under the Integral Sign? The Oslo Congress of Mathematicians on the Eve of the Second World War by Christopher D. Hollings and Reinhard Siegmund-Schultze
by Rossana Tazzioli - 181-184 Turbulent Times in Mathematics: The Life of J. C. Fields and the History of the Fields Medal by Elaine McKinnon Riehm and Frances Hoffman
by Michael J. Barany - 185-186 Curvature of Space and Time, with an Introduction to Geometric Analysis
by Bogdan D. Suceavă - 187-189 Risk, Choice, and Uncertainty: Three Centuries of Economic Decision-Making by George G. Szpiro COLUMBIA UNIVERSITY PRESS, 2020, 264 PP., US$32.00, ISBN 978-0-231-19474-7
by Andrew J. Simoson - 190-190 International Congresses of Mathematicians
by Robin Wilson
March 2022, Volume 44, Issue 1
- 1-6 The Goat in the City
by Gilbert Bassett - 7-11 Loewner’s “Forgotten” Theorem
by Peter Albers & Serge Tabachnikov - 12-19 Sangaku Problems About Ellipses: Why Primary Sources Matter
by J. Marshall Unger - 20-21 Where Do Theorems Come From?
by Colin Adams - 22-27 The Golden Ratio and Hydrodynamics
by Boris Khesin & Hanchun Wang - 28-31 Party Time for Mathematicians in Heidelberg
by Osmo Pekonen - 32-38 Inference to the Best Explanation Is an Important Form of Reasoning in Mathematics
by Marc Lange - 39-43 A Large Controversy from a Small Town: Johann Georg von Soldner of Feuchtwangen
by Bismark Singh - 44-45 Visual Evaluation of a Geometric Series: Sum of Reciprocals of Odd Powers of Two
by Rajib Mukherjee - 46-56 The Origin of the Bernoulli Numbers: Mathematics in Basel and Edo in the Early Eighteenth Century
by Tomoko L. Kitagawa - 57-57 A Paraconsistent Poem
by Jeremiah Joven Joaquin - 58-64 Square Dance from a Mathematical Perspective
by Luke Sciarappa & Jim Henle - 66-67 Differential Geometry of Curves and Surfaces by Shoshichi Kobayashi, translated from the Japanese by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka
by Bogdan D. Suceavă - 68-70 The Essence of Numbers
by Andrew Simoson - 71-73 Reckonings: Numerals, Cognition, and History by Stephen Chrisomalis
by Andrew Simoson - 74-75 Bicycle or Unicycle? A Collection of Intriguing Mathematical Puzzles
by Philip D. Straffin - 76-77 The Rules of Contagion: Why Things Spread—And Why They Stop
by Sune Lehmann & Jonas L. Juul - 78-78 Stamps of Various Shapes
by Robin Wilson
December 2021, Volume 43, Issue 4
- 1-1 On Translations of Hilbert’s Grundlagen
by Albert C. Lewis - 2-2 A Direct Proof of the Steiner–Lehmus Theorem
by Victor Pambuccian - 3-4 Is There a Direct Geometric Proof of the Steiner–Lehmus Theorem?
by O. A. S. Karamzadeh - 5-15 “Not Just an Idle Game”:
by Ronald Brown - 16-18 Self-Crossing Geodesics
by Anton Petrunin - 19-28 Lessons from the German Tank Problem
by George Clark & Alex Gonye & Steven J. Miller - 29-31 All Tied Up
by Colin Adams - 32-32 Proof without Words: Inequality for the Sum of the Diagonals
by Nenad Stojanović - 33-47 A History of Mathematics in South Africa: Modern Milestones
by Tomoko L. Kitagawa & Eder Kikianty - 48-52 A Replication Crisis in Mathematics?
by Anthony Bordg - 53-59 Sandstone Geometry on the Colorado Plateau
by Stan Wagon & H. Allen Curran - 60-61 Proof Without Words: Sums of Powers of Eight
by Rajib Mukherjee - 62-73 On Mathematical Towers of Babel and “Translation” as an Epistemic Category
by Michael Friedman - 74-75 Final Integer
by Thomas Reed Willemain - 76-81 Changing the Rules: The Legacy of Robert Abbott
by Jim Henle - 83-84 The Secret Formula by Fabio Toscano
by Andrew J. Simoson - 85-88 The Great Rift: Literacy, Numeracy, and the Religion–Science Divide by Michael E. Hobart
by Sam Williams - 89-93 What’s Next? The Mathematical Legacy of William P. Thurston Edited by Dylan Thurston
by Athanase Papadopoulos - 94-98 Biographie. Felix Hausdorff, Gesammelte Werke. Band IB. by Egbert Brieskorn and Walter Purkert
by Gert Schubring - 99-100 The Tenth Muse by Catherine Chung
by Mary Gray - 102-102 Mathematics in Nature
by Robin Wilson
September 2021, Volume 43, Issue 3
- 1-7 Banach’s Doctorate: A Case of Mistaken Identity
by Danuta Ciesielska & Krzysztof Ciesielski - 8-14 Variations on the Tait–Kneser Theorem
by Gil Bor & Connor Jackman & Serge Tabachnikov - 15-26 A Planar Cubic Derived from the Logarithm of the Dedekind $$\eta $$ η -Function
by C. A. Lütken - 27-28 A Denial
by Colin Adams - 29-29 Proof Without Words: From Floor to Stairs
by Julije Jakšetić - 30-34 A Q&A with a Very Young Popular Math and Science Author
by Joseph Mazur & Hamza Emad Alsamraee - 35-39 On Nondeductive Mathematics
by Zvonimir Šikić - 40-44 Cutting Cakes and Kissing Circles
by Alexander Müller-Hermes - 45-49 The Traditional Academy of Mathematics at the Fenglong Mountain of China
by Pengfei Liu - 50-53 A Figure with Heesch Number 6: Pushing a Two-Decade-Old Boundary
by Bojan Bašić - 54-59 A History of Gaps
by Bogdan Suceavă - 60-70 A Competent Translation/A Pitiful Bungle: The Foundations of Geometry
by Jemma Lorenat - 71-72 A Square Root’s Take on the Pandemic
by Tom Blackford - 73-79 Mathematics That Dances
by Jim Henle - 80-81 Mathematics Disputes with Death, and the Devil Intervenes
by Thomas Reed Willemain - 82-91 In The Shadow of Euler’s Greatness: Adventures in the Rediscovery of an Intriguing Sum
by Seán M. Stewart - 93-94 Mathematics for Human Flourishing by Francis Su, with reflections by Christopher Jackson
by Pamela Gorkin - 95-96 The Eighth Detective (Eight Detectives) by Alex Pavesi
by Mary W. Gray - 97-98 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection by Stephan Garcia and Steven Miller
by Andrew Simoson - 99-102 Leonhard Euler’s Letters to a German Princess: A Milestone in the History of Physics Textbooks and More
by Johan C.-E. Stén - 103-106 Thin Objects: An Abstractionist Account by Øystein Linnebo
by Inger Bakken Pedersen - 107-107 Correction to: John Conway: The Man Who Played Mathematics
by Dierk Schleicher - 108-108 Mathematics in Art
by Robin Wilson
June 2021, Volume 43, Issue 2
- 2-2 Conway’s Cat
by Siobhan Roberts - 3-9 Conway’s Work on Iteration In memory of John Horton Conway (1937–2020)
by Jeffrey C. Lagarias - 10-14 J. H. Conway and the End of the Story of Numbers
by Jim Henle - 15-20 Conway and Aperiodic Tilings
by Charles Radin - 21-26 Conway’s Knotty Past
by Colin Adams - 27-36 The-Square-and-Add Markov Chain
by Persi Diaconis & Jimmy He & I. Martin Isaacs - 37-39 A Symmetric 3D Proof of Heron’s Formula
by Jean-Marc Lévy-Leblond - 40-46 Conway’s Influence on the Study of Random Tilings
by Jim Propp - 47-54 Frieze Patterns of Integers
by Karin Baur - 55-60 The John Conway Hour, NTBA
by Mira Bernstein - 61-70 Quantum Numbers and q-Deformed Conway–Coxeter Friezes
by Sophie Morier-Genoud & Valentin Ovsienko - 71-72 Pentasia
by Barry Cipra - 73-75 John Conway and Mathematical Communities
by Marjorie Senechal - 76-78 An Elementary-Minded Mathematician
by O. A. S. Karamzadeh - 79-91 John Conway: The Man Who Played Mathematics
by Dierk Schleicher - 92-98 Sorted Fibs in Base 3/2
by Ben Chen & Richard Chen & Joshua Guo & Tanya Khovanova & Shane Lee & Neil Malur & Nastia Polina & Poonam Sahoo & Anuj Sakarda & Nathan Sheffield & Armaan Tipirneni - 99-107 A Prettier Shell on the Seashore: The Conway Criterion
by Jin Akiyama & Kiyoko Matsunaga - 108-114 New Stellations
by G. Stuart Pawley - 115-116 The Surreal Eulogy
by Idriss Aberkane - 117-123 The Artist
by Jim Henle - 124-129 John Conway, Tilings, and Me
by Doris Schattschneider - 130-133 A Hyperbolic Proof of Pascal’s Theorem
by Miguel Acosta & Jean-Marc Schlenker - 134-137 Biased Coin Puzzles
by Peter Winkler - 138-141 Mathematics, Magic, and Mischief with John H. Conway
by Colm Mulcahy - 143-145 Winning Ways for Your Mathematical Plays by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy
[On Numbers and Games by John H. Conway]
by Robert A. Hearn - 146-147 The On-Line Encyclopedia of Integer Sequences
by Steven Finch - 148-149 Cubed: The Puzzle of Us All by Ernő Rubik
by Osmo Pekonen
March 2021, Volume 43, Issue 1
- 1-4 Memories with Marjorie: A Historian’s Appreciation
by David E. Rowe - 5-6 Passing the Editorship
by Chandler Davis - 7-18 Mister Mary Somerville: Husband and Secretary
by Brigitte Stenhouse - 19-19 Which Is Greater?
by Peter R. Mercer - 20-24 Polar Bear or Penguin? Musings on Earth Cartography and Chebyshev Nets
by Boris Khesin & Serge Tabachnikov - 25-39 Dynamical Systems, Celestial Mechanics, and Music: Pythagoras Revisited
by Julyan H. E. Cartwright & Diego L. González & Oreste Piro - 40-41 Hyperbolic 3-Manifolds Boot Camp
by Colin Adams - 42-44 Von Neumann Explains His Game Theory to Gödel, September 1940
by Jan Plato - 45-53 The Impact of Emigration on Slovak Mathematics: The Case of the Bratislava Graph Theory Seminar
by Robert Jajcay & Milan Lekár - 54-54 Food for Thought?
by Lisa Fine & Stan Wagon - 55-63 Knotted Portals in Virtual Reality
by Moritz L. Sümmermann - 64-77 Johannes Kepler in Ulm Revisited: New Aspects of Old Known Facts—
by Hans-Joachim Albinus & Detlef Suckrau - 78-87 Big Math and the One-Brain Barrier: The Tetrapod Model of Mathematical Knowledge
by Jacques Carette & William M. Farmer & Michael Kohlhase & Florian Rabe - 88-96 On the Pleasures and Pitfalls of Mathematical Storytelling: Conversations with Constance Reid
by David E. Rowe - 97-97 God Whispered to Cantor
by Josh Hiller - 98-103 Art for One
by Jim Henle - 104-104 Factor!al Countdown
by Lawrence M. Lesser - 105-112 Statistical Analysis of the International Mathematical Olympiad
by Arthur Berg - 113-113 Addicted to Proof
by Peter Shor - 115-116 Prime Suspects by Andrew Granville, Jennifer Granville, and Robert J. Lewis
by Marco Abate - 117-119 Pythagoras’ LegacyEdited by Marcel Danesi
by Andrew J. Simoson - 120-122 Foolproof, and Other Mathematical Meditations by Brian Hayes
by Colin Beveridge - 123-127 A Brain for Numbers: The Biology of the Number Instinct by Andreas Nieder
by Larry R. Vandervert - 128-129 Number Theory Revealed: An Introduction by Andrew Granville
by Marco Abate - 130-130 Computing: More Recent Developments
by Robin Wilson & Martin Campbell-Kelly
December 2020, Volume 42, Issue 4
- 1-6 Math in the Time of Plague
by Barry Mazur - 7-22 Framed Knots
by Mohamed Elhamdadi & Mustafa Hajij & Kyle Istvan - 23-29 A Hidden Orthogonal Latin Square in a Work of Euler from 1770
by Nicola Oswald & Jörn Steuding - 30-32 The Lake Wobegon Paradox
by C. Bryan Dawson - 33-35 Algebrexit
by Colin Adams - 36-37 A Bug’s Identity
by Davide Francesco Redaelli & Francesco Viganò - 38-41 Polygon Offsetting with Squares Erected on Its Sides
by Alexander Belyaev & Pierre-Alain Fayolle - 42-43 Dedekind-like
by Manya Sundström (text) & Mattias Marklund (photo) - 44-49 An Alternative Proof of Euler’s Rotation Theorem
by Toby Joseph - 50-58 The Development of Mathematical Research in Vietnam at a Glance
by Lê Tuấn Hoa - 59-59 Poincaré Tries to Explain His Discovery of the Fuchsian Groups
by Kathryn Weld - 60-63 Karl Weierstraß: A Westphalian Mathematician
by Karl-Goswin Große Erdmann - 64-69 Math for Grades 1 to 5 Should Be Art
by Jim Henle - 70-70 Anniversary of Notation for Number π
by Isaac Elishakoff - 71-77 A Winning Strategy for Hold That Line
by Jindřich Michalik - 79-81 99 Variations on a Proof by Philip Ording
by John J. Watkins - 82-83 Exercises in (Mathematical) Style: Stories of Binomial Coefficients by John McCleary
by John J. Watkins - 84-86 Dirichlet: A Mathematical Biography by Uta C. Merzbach
by Robin Wilson - 87-88 Board Games: Throughout the History and Multidimensional Spaces by Jorma Kyppö
by Albrecht Heeffer - 89-91 Tales of Impossibility by David Richeson
by Andrew J. Simoson - 92-92 Computing: The 1940s and 1950s
by Robin Wilson & Martin Campbell-Kelly
September 2020, Volume 42, Issue 3
- 1-9 Are Models Useful? Reflections on Simple Epidemic Projection Models and the Covid-19 Pandemic
by Marc Artzrouni - 10-11 Two Definite Integrals That Are Definitely (and Surprisingly!) Equal
by Shalosh B. Ekhad & Doron Zeilberger & Wadim Zudilin - 12-16 A Closed-Form Solution to the Geometric Goat Problem
by Ingo Ullisch - 17-22 The Illustrating Mathematics Program at ICERM
by Richard Evan Schwartz - 23-25 The Bicycle Paradox
by Stan Wagon - 26-28 A Ghost Story
by Colin Adams - 29-33 A Probabilistic Approach to the Fibonacci Sequence
by Mark Huber - 34-40 Memorials of Mathematicians in Moscow
by Magdolna Hargittai & Istvan Hargittai - 41-45 The First Random Walk: A Note on John Venn’s Graph
by Lukas M. Verburgt - 46-49 Who Invented the Delta Method, Really?
by Prakash Gorroochurn - 50-54 An Early Appearance of Nondecimal Notation in Secondary Education
by Franka Miriam Brueckler & Vladimir Stilinović - 55-56 A Modest Proposal
by Gizem Karaali & Lawrence Mark Lesser - 57-64 Romantic Mathematical Art: Part II
by Jim Henle - 65-73 Queens, Attack!
by Tricia Muldoon Brown - 74-74 A Visual Proof That $$e A^e$$ e A e
by Nazrul Haque - 76-77 Culture and Art of Scientific Discoveries: A Selection of István Hargittai’s Writings Edited by Balazs Hargittai
by Osmo Pekonen - 78-79 Alan Turing’s Manchester by Jonathon Swinton
by C. T. J. Dodson - 80-82 Grete Hermann – Between Physics and Philosophy Edited by Elise Crull and Guido Bacciagaluppi
[Grete Henry-Hermann: Philosophie – Mathematik – Quantenmechanik. Texte zur Naturphilosophie und Erkenntnistheorie, mathematisch-physikalische Beiträge sowie ausgewählte Korrespondenz aus den Jahren 1925 bis 1982 Edited by Kay Herrmann]
by Andrea Reichenberger - 83-87 You Failed Your Math Test, Comrade Einstein: Adventures and Misadventures of Young Mathematicians, or Test Your Skills in Almost Recreational Mathematics by M. Shifman
by Sergei Tabachnikov - 88-89 Curves for the Mathematically Curious by Julian Havil
by Andrew J. Simoson - 90-91 On the Life of Galileo. Viviani’s Historical Account and Other Early Biographies Edited by Stefano Gattei
by Osmo Pekonen - 92-92 Computing: Early Days
by Robin Wilson & Martin Campbell-Kelly
June 2020, Volume 42, Issue 2
- 1-8 Hook Inequalities
by Igor Pak & Fedor Petrov & Viacheslav Sokolov - 9-14 “The Four Strongest” at the National Museum of Mongolia
by Uuganbaatar Ninjbat - 15-19 Figures of Speech and Figures of Thought
by Emily Grosholz & Edward Rothstein - 20-29 Perimeter Determination of the Eight-Centered Oval
by Jean-Marc Ginoux & Jean-Claude Golvin - 30-30 Pandemic Math: X and Y Axes
by Robin Chapman - 31-46 Enheduanna: Princess, Priestess, Poet, and Mathematician
by Sarah Glaz - 47-47 An Interesting Relationship Between Squares and Hex Numbers
by Günhan Caglayan - 48-55 Mathematical Proof and Genre Theory
by David Matthew Bowers & Valentin A. B. Küchle - 56-57 On Another Plane
by Colin Adams - 58-60 The Monkey in Hilbert’s Hotel
by K. B. Basant - 61-65 A Hyperbolic View of the Seven Circles Theorem
by Kostiantyn Drach & Richard Evan Schwartz - 66-69 An Algebraic Surface Projecting onto Squares
by Carlos Ueno - 70-77 Romantic Mathematical Art: Part I
by Jim Henle - 78-79 The Frobenius Coin Problem—A Cylindrical Approach
by Richard Ehrenborg - 81-84 The Mathematical World of Charles L. Dodgson (Lewis Carroll) Edited by Robin Wilson and Amirouche Moktefi
by John J. Watkins - 85-88 From Music to Mathematics: Exploring the Connections by Gareth E. Roberts
by Gerardo Cerro Santamaría - 89-90 The Weil Conjectures: On Math and the Pursuit of the Unknown by Karen Olsson
[Weil: La geometria de la teoría de números by Ágata Timón and David Fernández Álvarez]
by Osmo Pekonen - 91-100 Lazare and Sadi Carnot: A Scientific and Filial Relationship by Charles Coulston Gillispie and Raffaele Pisano
by Emilio Marco Pellegrino - 101-102 Model Theory and the Philosophy of Mathematical Practice: Formalization without Foundationalism by John T. Baldwin
by Roman Kossak - 103-103 The Summoning of Everynumber
by Peter R. Mercer - 104-104 The 20th Century
by Robin Wilson
March 2020, Volume 42, Issue 1
- 1-5 Computer Geometry: Rep-Tiles with a Hole
by Christoph Bandt & Dmitry Mekhontsev - 6-17 Can the Elliptic Billiard Still Surprise Us?
by Dan Reznik & Ronaldo Garcia & Jair Koiller - 18-23 Rectification of Circular Arcs by Linkages
by Robert Dawson & Pietro Milici - 24-28 Mathematical Sightings at the Museum of Tomorrow
by Ma. Louise Antonette De Las Peñas - 29-29 The Day I Receive My Ph.D
by Arkaye Kierulf - 30-35 Digital Images Unveil Geometric Structures in Pairs of Relatively Prime Numbers
by Benjamín A. Itzá-Ortiz & Roberto López-Hernández & Pedro Miramontes - 36-40 A Flowering of Mathematical Art
by Jim Henle & Craig Kasper - 41-41 Remembering e
by Robert J. MacG. Dawson - 42-46 Odd Perfect Numbers: A Triptych
by William Dunham - 47-48 Prime Suspect
by Colin Adams