Apr 13, 2010

Mathematics Challenge for Young Australians: Enrichment Stage

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

 

Mathematics Activity]

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

Activity

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.

Problem 1.


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

History Topics Index

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

Mathematical topics

Overview of the history of mathematics

Algebra

Analysis

Numbers and number theory

Geometry and topology

Mathematical physics

Mathematical astronomy

Mathematical education


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