## Apr 13, 2010

### Mathematics Challenge for Young Australians: Enrichment Stage

http://www.amt.edu.au/wuenr.html

#### Mathematics Challenge for Young Australians: Enrichment Stage

This page is designed to give students an alternative problem set to this year's formal Enrichment Problems, together with solutions. This may help students see what is expected in solutions. Students are encouraged to try solving without seeing the solutions, but in any case the solutions are provided to enable students to see what is expected.

This page contains a recent problem set for each of Newton, Dirichlet, Euler, Gauss, Noether and Polya.

#### Errata

In Newton Student Notes the solution to Problem 19, Chapter 5 is 18 faces, 16 vertices and 32 edges. Euler's Rule is satisfied as 18+16-32=2.

In chapter 8 (Solutions, question 1), 7308 is actually divisible by 3 and 9 whereas the recent reprint gives it as No for both.

The Dirichlet Student Notes are being reprinted, with some reorganisation of text (not affecting the chapter problems). For those with the 2006 printing though, there are some errata:

In the table on page 7, the N in column 3 against deep sea diver should drop to the journalist row. In the upper table on page 8 the Ns against deep sea diver and journalist should swap places.

In the two dot points at bottom of page 42: The number of squares should be s=1+2(n-1)=2n-1. And the number of match sticks should be m=4+3.2(n-1)=6n-2.

In both tables on page 51 columns 3 and 4 should be empty.

Further there are three incorrect solutions in Chapter 3. For Problem 7 the correct answer is 513, for Problem 9 the correct answer is 1432 and for Problem 11 the correct answer is 94. The answer to Problem 11 is just 11 and the answer to 40 (d) should be 2737. For Chapter 8, Problem 20 the solution should have a bar over 73170.

Noether Problem 15 would be better worded as "Does there exist a positive integer such that when it is written in base ten and its leftmost digit is crossed out, the derived number is one-fifty-sixth of the original number?"

Sample Problems and Solutions

### Australian Mathematics Trust - Mathematics Activity: IMTOT

http://www.amt.edu.au/wuimtot.html

#### International Mathematics Tournament of Towns

This page will be developed to give students a wide range of opportunities to practice their mathematics, and teachers warm-up papers and other problems to give their class. Problems to be found here will cover a wide range of standards, from accessible to all students up to challenging.

When a question is posted without solution, if you are from a participating school and within the valid school year, send your solutions here, making it clear which problems you are answering. If your solution is complete we will acknowledge with your name, school and school year. Generally when a sufficient number of correct solutions are in we will post the complete solutions, and follow with new problems.

These Tournament questions can be extremely challenging.

Correct solutions were received from
• Eman Redzepagic, Year 9, Scotch College, Victoria

### Extras Index

http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Extras_index.html

 Abbott Flatland Second Edition Preface Adams A cartoon about the discovery of Neptune Adams John Couch Adams' account of the discovery of Neptune Adams_Edwin E P Adams Adelard Adelard: Euclid Adler August Adler's publications Agnesi Dubreil-Jacotin on Maria Gaetana Agnesi Airy Airy's work in engineering Airy Airy on Thales' eclipse Aitken A C Aitken the poet Aitken Aitken: "Statistical Mathematics" Aitken Edinburgh's tribute to A C Aitken Aitken Turnbull and Aitken: Canonical Matrices Al-Biruni Al-Biruni: Coordinates of Cities Al-Kashi Al-Kashi's letter Al-Kashi Muslim extraction of roots Al-Khwarizmi Al-Khwarizmi and quadratic equations Albert_Abraham A A Albert: Structure of Algebras Alcuin Siegfried Sassoon on Alcuin Aleksandrov A D Aleksandrov's view of Mathematics Archibald Mathematicians and Music Archimedes Archimedes on statics Archimedes Archimedes: Quadrature of the parabola Archimedes Archimedes on mechanical and geometric methods Aristotle Aristotle on physics and mathematics Aristotle Heath: Mathematics in Aristotle Preface Babbage Charles Babbage and deciphering codes Baker Henry Baker addresses the British Association in 1913 Baker H F Baker: A locus with 25920 linear self-transformations Introduction Baker H F Baker: A locus with 25920 linear self-transformations Preface Berkeley Whiston's comments on Berkeley's Treatise Bertrand Bertrand's work on probability Introduction Bessel Bessel and the Royal Astronomical Society Bing R H Bing as a car driver Bisacre F F P Bisacre - Applied calculus Bocher M Bôcher: Integral equations Bolyai Elemér Kiss: Mathematical Gems from the Bolyai Chests Preface Bolyai Temesvár letter from János to Farkas Bolyai Bolyai_Farkas Temesvár letter from János to Farkas Bolyai Bolza Oskar Bolza: Calculus of Variations Bombelli Bombelli: Algebra Born Born Inaugural Born Max Born's matrices Bossut Charles Bossut on Leibniz and Newton Bott Raoul Bott on John Nash Bottasso Publications of Matteo Bottasso Bowditch Laplace: Méchanique Céleste Bromwich Thomas Bromwich: Infinite Series Bronowski Bronowski and retrodigitisation Burgess Burgess plaque Burnside W Burnside: Theory of Groups of Finite Order Cajori Cajori: A history of mathematics Introduction Cajori Florian Cajori on William Oughtred Campbell Campbell on Differential Geometry Cantor Philip Jourdain and Georg Cantor Caratheodory Carathéodory: Conformal representation Caratheodory G H Hardy's schedule of lectures in the USA Cardan Cardan: autobiography Cassini Cassini and the Division in Saturn's Ring Cayley Cayley: Elliptic Functions Chebyshev Chebyshev nets Chevalley C Chevalley: On Herbrand's thought Chrystal Chrystal: Algebra Preface Chrystal Chrystal: EMS Address Chrystal Chrystal EMS tribute Chrystal George Chrystal's Third Promoter's Address Chrystal Professor Chrystal Clifford_Alfred Reminiscences of a Friendship: Miller on Clifford Cochran Cochran: Sampling Techniques Introduction Cochran Cochran: Sampling Techniques Preface Coolidge Coolidge: Origin of Polar Coordinates Copernicus Mersenne and Copernicanism Copson Copson Professor Coulson Coulson: "Electricity" Courant Richard Courant: Differential and Integral calculus English edition Courant Richard Courant: Differential and Integral calculus German edition Coxeter Coxeter and Moser: "Generators and Relations" Cusa Cusa: On informed ignorance De_L'Hopital L'Hôpital: Analyse des infiniment petits Preface De_Morgan De Morgan and the Royal Astronomical Society De_Morgan Errors of the Royal Society Dedekind Richard Dedekind - the man and the numbers Introduction Delone Boris Delone Deuring Max Deuring's publications Dickson Dickson: Theory of Equations Dickson L E Dickson: Linear algebras Du_Bois-Reymond Review of du Bois-Reymond's Die allgemeine Functionentheorie Dubreil-Jacotin Marie-Louise Dubreil-Jacotin Dubreil-Jacotin Dubreil-Jacotin on Maria Gaetana Agnesi Dubreil-Jacotin Dubreil-Jacotin on Sophie Germain Dubreil-Jacotin Dubreil-Jacotin on Mary Somerville Dubreil-Jacotin Women mathematicians by Dubreil-Jacotin Dudeney Dudeney: Amusements in mathematics Preface Durell Durell and Robson: "Advanced Trigonometry" Dyson Freeman Dyson: autobiographical notes Eckmann Heinz Hopf Collected papers Preface Eddington Arthur Eddington's 1927 Gifford Lectures Eddington Eddington: Mathematical Theory of Relativity Preface Eddington Eddington: Mathematical Theory of Relativity Introduction Eddington Eddington on the Expanding Universe Ehrenfest Collected Papers of Paul Ehrenfest Preface Einstein A meeting with Einstein Einstein Einstein: Ether and Relativity Einstein Einstein: Geometry and Experience Elliott Edwin Elliot: Algebra of Quantics EMS EMS 1913 Colloquium EMS EMS 1914 Colloquium EMS_1913_Colloquium EMS 1913 Colloquium Erdelyi Todd and Erdélyi on Practical Mathematics Erdos Hardy and Veblen on Erdos Erdos Pál Erdös's student years Euclid Euclid on elementary astronomy Euclid Bertrand Russell on Euclid Euler Carl B Boyer: Foremost Modern Textbook Euler Königsberg bridges Fano Publications of Gino Fano Feigenbaum Mark Kac on education, physics and mathematics Feigenbaum Mitchell Feigenbaum: the interviewer Fejer Pólya on Fejér Ferrar Ferrar: "Textbook of Convergence" Feynman Surely you're joking Mr Feynman Introduction Fields Fields Medal Letter Fisher R A Fisher: the life of a scientist Preface Fisher R A Fisher: Statistical Methods Introduction Fisher R A Fisher: History of Statistics Flamsteed Flamsteed v Newton Ford Ford - Mathematics for Field Artillery Ford L R Ford - Automorphic Functions Ford L R Ford - Differential Equations Ford L R Ford: Monthly Editor Forsyth Andrew Forsyth addresses the British Association in 1905 Forsyth Andrew Russell Forsyth by Leonard Roth Forsyth Three Sadleirian Professors Fourier Joseph Fourier on his teachers Frank Studies presented to Richard von Mises Introduction Freundlich A conversation about Finlay Freundlich Freundlich Finlay Freundlich's Inaugural Address Freundlich The St Andrews Schmidt-Cassegrain Telescope Galileo Letters from Galileo Preface Gateaux Paul Levy and René Gateaux Gauss Gauss: Disquisitiones Arithmeticae Geminus Simplicius on astronomy and physics Germain Dubreil-Jacotin on Sophie Germain Gibson Gibson appointment Gibson George Gibson: Calculus Gibson Gibson: History of Scottish Mathematics Gillespie Gillespie: "Integration" Goursat Goursat: Cours d'analyse mathématique Grassmann Grassmann: 1844 foreword Grassmann Grassmann: 1862 extract Green_Sandy Green: "Sequences and Series" Gregory Gibson History 5 - James Gregory Gregory Gregory's Astronomical Clock Gregory Gregory's Observatory Gregory The Tercentenary of the birth of James Gregory Gregory H W Turnbull: Scottish Contribution to the Calculus Gregory The Upper Hall of the University Library Gregory_David Gibson History 6 - More Gregorys Griffiths Phillip Griffiths Looks at 'Two Cultures' Today Hadamard Hadamard on Hermite Hadamard Jacques Hadamard's mathematician's mind Hadamard Hadamard on Picard Hadamard Hadamard on Jules Tannery Hahn Hans Hahn: The crisis in intuition Hahn Karl Menger on Hans Hahn Halmos Halmos: creative art Hamilton W R Hamilton: Elements of Quaternions Hamilton J L Synge and Hamilton Hardy G H Hardy addresses the British Association in 1922 Hardy Hardy's cricket teams, poets etc Hardy G H Hardy: Integration of functions Hardy Hardy: reference for Pólya at ETH Hardy Hardy in the USA Hardy G H Hardy's schedule of lectures in the USA Hardy Hardy and Veblen on Erdos Hardy Hardy and Veblen on Max Newman Hardy Three Sadleirian Professors Hardy Leonard Woolf on G H Hardy Harriot Harriot and binary numbers Heath Heath: Everyman's Library Euclid Introduction Heath Heath: Mathematics in Aristotle Preface Heath Heath: The thirteen books of Euclid's Elements Preface Heaviside Oliver Heaviside and Newton Abbott Heine Publications of Eduard Heine Helmholtz H L F Helmholtz: Theory of Music Introduction Helmholtz H L F Helmholtz: Theory of music Prefaces Herbrand C Chevalley: On Herbrand's thought Herbrand Jacques Herbrand's accident Hermite Hadamard on Hermite Hilbert David Hilbert: Mathematical Problems Hill George William Hill's new theory of Jupiter and Saturn Hille Einar Hille: Analytic Function Theory Hirzebruch Friedrich Hirzebruch addresses the 1998 ICM Hobson Ernest Hobson addresses the British Association in 1910 Hobson E W Hobson: Mathematical Education Hopf Heinz Hopf Collected papers Preface Hormander Hörmander in Looking forward from ICM 1962 Huygens Christiaan Huygens' article on Saturn's Ring Iacob Caius Iacob: Applied mathematics and mechanics Jacobson Jacobson: Theory of Rings Jacobson Jacobson: Structure of Rings Jeans James Jeans addresses the British Association in 1934 Jeans James Jeans: Physics and Philosophy I Jeans James Jeans: Physics and Philosophy II Jeffreys Harold Jeffreys on Logic and Scientific Inference Jeffreys Harold Jeffreys: Scientific Inference Preface Jeffreys Harold Jeffreys on Probability Jourdain Philip Jourdain and Georg Cantor Kac Mark Kac on education, physics and mathematics Kaplansky Kaplansky: Infinite abelian groups Introduction Karp Carol R Karp: Languages with expressions of infinite length Kemeny János Kemény's student years Kendall_Maurice Hiawatha Designs an Experiment Kepler Kepler's Foundations of modern optics Preface to a translation Kepler Kepler's Planetary Laws Kerr Kerr: "Technical Education" Keynes Keynes: Probability Introduction Ch I Keynes John Maynard Keynes: Newton, the Man Keynes Keynes: Probability Preface Keynes Newton's Arian beliefs Khayyam Muslim extraction of roots Khinchin A I Khinchin on Information Theory Khinchin A I Khinchin: Statistical Mechanics Introduction Khinchin A I Khinchin: Statistical Mechanics Preface Klein Felix Klein on intuition Knopp Konrad Knopp: Texts Kochina Kochina: Biography of Kovalevskaya Preface Kovalevskaya Kochina: Biography of Kovalevskaya Preface Krylov_Nikolai_S N S Krylov's monograph - Introduction Kuratowski Kuratowski: Set Theory and Topology Foreword Kuratowski Kuratowski: Introduction to Set Theory Kuratowski Kuratowski: Introduction to Topology Kurosh Kurosh: Lectures on general algebra Introduction Kurosh Kurosh: The theory of groups 1st edition Kurosh Kurosh: The theory of groups 2nd edition Lagrange Joseph Fourier on his teachers Lamb Horace Lamb addresses the British Association in 1904 Landau Edmund Landau: Foundations of Analysis Contents Landau Edmund Landau: Foundations of Analysis Prefaces Lang Serge Lang: Algebra Lang Serge Lang: A first course in calculus Laplace Joseph Fourier on his teachers Laplace Laplace: Méchanique Céleste Laplace Laplace on "new stars" Laplace Laplace: Essay on probabilities Lawson Lawson: Merchiston Castle Lax Peter Lax's student years Le_Verrier A cartoon about the discovery of Neptune Ledermann Ledermann: "Complex Numbers" Ledermann Ledermann: "Finite Groups" Ledermann Library of Mathematics Leibniz Charles Bossut on Leibniz and Newton Leslie EMS honours James Leslie Leslie Gibson History 11 - John Playfair, Sir John Leslie Leslie Centenary of John Leslie Leslie The Works of Sir John Leslie Lesokhin Exercises in group theory Levi-Civita Levi-Civita: Absolute Differential Calculus Levi-Civita Levi-Civita: Lezioni di calcolo differenziale assoluto Levinson Selected papers of Norman Levinson Preface Levy_Paul Paul Levy and René Gateaux Luzin The 1936 Luzin affair Lyapin Exercises in group theory MacDonald H M Macdonald addresses the British Association in 1934 Macdonald Macdonald Endowments Mackey What do mathematicians do? Maclaurin Mathematics at Aberdeen 3 Maclaurin Gibson History 9 - Colin Maclaurin Maclaurin Kilmodan Church Maclaurin Mathematical Works of Colin Maclaurin Maclaurin Turnbull lectures on Colin Maclaurin MacMahon Percy MacMahon addresses the British Association in 1901 MacRobert MacRobert: Spherical Harmonics Preface MacRobert MacRobert Professor MacRobert T M MacRobert: Spherical Harmonics Contents Magnus "Combinatorial group theory" Malcev Malcev: Foundations of Linear Algebra Introduction Mandelbrojt The Mandelbrojt family Mandelbrojt Mandelbrojt becomes a French citizen Mandelbrojt Mandelbrot: Foreword to Abraham Robinson by Dauben Mandelbrot The Mandelbrojt family Mandelbrot Mandelbrot: Foreword to Abraham Robinson by Dauben Marczewski Selected papers of Edward Marczewski Preface Maskelyne Nevil Maskelyne measures the Earth's density Maxwell EMS honours Maxwell and Tait Maxwell James Clerk Maxwell on the nature of Saturn's rings McVittie G C McVittie papers Menger Menger on the Calculus of Variations Menger Karl Menger on Hans Hahn Mengoli Napierian logarithms explained by Pietro Mengoli Mersenne De Coste on Mersenne Mersenne Mersenne and Copernicanism Mersenne Mersenne's Publications Miller G A Miller - A letter to the editor Mises Studies presented to Richard von Mises Introduction Mitchell The Dundee Numerical Analysis Conferences Monge Joseph Fourier on his teachers Montmort De Montmort: Essai d'Analyse Morera Publications of Giacinto Morera Moser_William Coxeter and Moser: "Generators and Relations" Muir Thomas Muir: History of determinants Muir Muir on research in Scotland Napier Gibson History 4 - John Napier Napier Napierian logarithms explained by Pietro Mengoli Napier A comment about Napier Napier Napier's rods Napier Napier Tercentenary Napier A Napierian logarithm before Napier Nash Raoul Bott on John Nash Nassau J J Nassau - Practical Astronomy Neugebauer Otto Neugebauer - a biographical sketch Neumann_Bernhard B H Neumann's Bull. Austral. Math. Soc. Editorial Newman Hardy and Veblen on Max Newman Newton Charles Bossut on Leibniz and Newton Newton Flamsteed v Newton Newton John Maynard Keynes: Newton, the Man Newton Newton's Arian beliefs Northcott Northcott: "Ideal theory" Ollerenshaw K Ollerenshaw: The Girls' School Oughtred Florian Cajori on William Oughtred Pacioli A Napierian logarithm before Napier Padoa Publications of Alessandro Padoa Pappus Pappus on analysis and synthesis in geometry Pappus Pappus on mechanics Pappus Pappus on the trisection of an angle Pappus Pappus on the wisdom of bees Pascal Gilberte Pascal: The life of Pascal Pauli Wolfgang Pauli and the Exclusion Principle Peirce_Charles Writings of Charles S Peirce Preface Picard_Emile Hadamard on Picard Pinkerton Pinkerton rector Planck Max Planck: The Nature of Light Planck Max Planck and the quanta of energy Planck Max Planck: Quantum Theory Plato Plato on Mathematics Plato Plato describes the planets Plato D'Arcy Thompson on Plato and Planets Playfair Gibson History 11 - John Playfair, Sir John Leslie Poincare Poincaré on the future of mathematics Poincare Poincaré on intuition in mathematics Poincare Poincaré on non-Euclidean geometry Polya Hardy: reference for Pólya at ETH Polya Pólya on Fejér Polya Pólya: How to solve it Preface Polya Pólya's favourite quotes Polya Pólya and Szegö: Problems and Theorems in Analysis Pratt John Henry Pratt's Birthday Preston Gordon Preston on semigroups Proclus Proclus and the history of geometry as far as Euclid Proclus Proclus on the Parallel Postulate Proclus Proclus on pure and applied mathematics Ptolemy Ptolemy's hypotheses of astronomy Quetelet BMI index Quetelet Adolphe Quetelet on crime Rankin The Edinburgh Mathematical Society: the first hundred years Rayleigh Errors of the Royal Society Recorde Recorde: The Declaration of the Profit of Arithmeticke Redei Rédei: Algebra Rey_Pastor An interview with Prof Eduardo L Ortiz Rey_Pastor Inaugural Discourse by Julio Rey Pastor Ries Adam Ries: Coss Robinson Mandelbrot: Foreword to Abraham Robinson by Dauben Roth Andrew Russell Forsyth by Leonard Roth Routh Edward Routh's family history Runge Carl Runge: Graphical Methods Ruse H S Ruse papers Russell Bertrand Russell on Euclid Rutherford Rutherford: "Fluid Dynamics" Salmon George Salmon: from mathematics to theology Samuel Zariski and Samuel: Commutative Algebra Sang Edward Sang on his tables Savage Leonard J Savage: Foundations of Statistics Schlapp Colin Maclaurin Schouten J A Schouten's Opening Address to ICM 1954 Schrodinger Schrödinger: Statistical Thermodynamics Segre_Corrado Publications of Corrado Segre Semple Semple and Kneebone: Algebraic Projective Geometry Sheppard Sheppard Papers Simplicius Simplicius on astronomy and physics Simson Gibson History 7 - Robert Simson Skolem Skolem: Abstract Set Theory Sneddon Sneddon: "Special functions" Solitar "Combinatorial group theory" Somerville Dubreil-Jacotin on Mary Somerville Somerville Somerville's American connections Somerville Somerville's Booklist Somerville Somerville's House in Burntisland Somerville Recollections of Mary Somerville Sommerfeld Sommerfeld: "Atomic Structure" Sommerville Sommerville: Geometry of n dimensions Spencer Donald C Spencer's publications Stackel Review of du Bois-Reymond's Die allgemeine Functionentheorie Stackel Stäckel's contribution to Mathematics Teaching Stewart Gibson History 10 - Matthew Stewart, John Stewart, William Trail Stirling Gibson History 8 - James Stirling Stirling Charles Tweedie on James Stirling Suter J Ruska on Heinrich Suter Synge J L Synge and Hamilton Synge J L Synge: Geometrical Optics Szego Gábor Szegó's student years Szego Pólya and Szegö: Problems and Theorems in Analysis Szekeres George Szekeres's student years Tait EMS honours Maxwell and Tait Tannery_Jules Hadamard on Jules Tannery Tarski Alfred Tarski: Cardinal Algebras Taylor Phillip S Jones on Brook Taylor Taylor Taylor versus Continental mathematicians Temple George Temple's Inaugural Lecture I Temple George Temple's Inaugural Lecture II Thales Airy on Thales' eclipse Thompson_D'Arcy D'Arcy Thompson's family Thompson_D'Arcy DArcy Thompson knighted Thompson_D'Arcy D'Arcy Thompson on Greek irrationals Thompson_D'Arcy D'Arcy Thompson on Plato and Planets Thomson Kelvin on the sun Thomson Thomson on British units Thomson Thomson on "ether" Tietze Heinrich Tietze on Numbers Tietze Tietze: Famous Problems of Mathematics Titchmarsh E C Titchmarsh: Aftermath Titchmarsh E C Titchmarsh on Counting Todd_John Todd and Erdélyi on Practical Mathematics Todd_John Todd: Basic Numerical Mathematics Todhunter Isaac Todhunter: Euclid Preface Todhunter Isaac Todhunter: Euclid Introduction Trail Mathematics at Aberdeen 3 Trail Gibson History 10 - Matthew Stewart, John Stewart, William Trail Troughton The South-Troughton quarrel Turing Turing as a runner Turnbull Gregory's Astronomical Clock Turnbull Gregory's Observatory Turnbull The Tercentenary of the birth of James Gregory Turnbull Turnbull and Aitken: Canonical Matrices Turnbull Turnbull: The Great Mathematicians Preface Turnbull Turnbull lectures on Colin Maclaurin Turnbull Turnbull Professor Turnbull H W Turnbull: Scottish Contribution to the Calculus Turnbull The Upper Hall of the University Library Tweedie Charles Tweedie on James Stirling Tweedie Charles Tweedie's subscribers Ulugh_Beg Al-Kashi's letter Ulugh_Beg The Samarkand Observatory Vacca Napierian logarithms explained by Pietro Mengoli Vacca A Napierian logarithm before Napier Valerio Luca Valerio's scientific career Veblen Hardy in the USA Veblen Hardy and Veblen on Erdos Veblen Hardy and Veblen on Max Newman Veblen Veblen's Opening Address to ICM 1950 Veblen Oswald Veblen Publications Viete De Thou on François Viète Von_Neumann János Neumann's student years Von_Neumann Von Neumann: The Mathematician Von_Neumann Von Neumann Silliman lectures Wangerin Publications of Albert Wangerin Wantzel A de Lapparent: Wantzel Weil André Weil: Algebraic Geometry Weyl G H Hardy's schedule of lectures in the USA Weyl H Weyl: Theory of groups and quantum mechanics Introduction Weyl H Weyl: Theory of groups and quantum mechanicsPreface to First Edition Weyl H Weyl: Theory of groups and quantum mechanicsPreface to Second Edition Whiston Whiston's comments on Berkeley's Treatise Whitehead A N Whitehead addresses the British Association in 1916 Whitehead A N Whitehead: Autobiographical Notes Whitehead A N Whitehead: Mathematics in the History of Thought Whittaker Edmund Whittaker: Physics and Philosophy Whittaker Whittaker retires EMA Whittaker Whittaker RSE Prize Whittaker_John J M Whittaker Chair Wigner Jenó Wigner's student years Wilder R L Wilder: Cultural Basis of Mathematics I Wilder R L Wilder: Cultural Basis of Mathematics II Wilder R L Wilder: Cultural Basis of Mathematics III Williamson John Williamson papers Wilson_Alexander The Wilson Depression Young W H Young addresses ICM 1928 Young W H Young: Differential Calculus Young William and Grace Young: Sets of Points Zariski Zariski and Samuel: Commutative Algebra Zhukovsky Zhukovsky (or Jowkowski) aerofoils

## Other Additional Material

 Mathematics at Aberdeen American Mathematical Society Colloquium Edinburgh Mathematical Notes EMS Roll of Honour for World War I EMS 1926 Colloquium EMS 1930 Colloquium EMS 1934 Colloquium EMS 1938 Colloquium 50 years of the EMS EMS session 5 Mathematics in France during World War II University of Glasgow Examinations Mathematics in Glasgow Graf theory Twenty-Five Years of Groups St Andrews Conferences Mathematical and Physical Journal for Secondary Schools Lucretius: On the Nature of Things William Lowell Putnam Mathematical Competition Scotland in 1883 and the EMS St Andrews Mathematics Examinations Mathematics in St Andrews St Andrews Physics Examinations Journal of the Statistical Society of London George Stewartson Students in 1711 Founding of the Universities Scottish University Examinations Venice and statistics