Title
      
     | 
    
	Subject
      
     | 
    
	Author
      
     | 
    
	Synopsis
      
     | 
  
  
    | The Mathematical
      Experience | 
    Mathematical
      Philosophy | 
    Davis and Hersh | 
    Proof,Infinity,and the Stretched String.The coin
      of Tyche. The Aesthetic Component. Pattern,Order,and Chaos | 
  
  
    | Think Maths | 
    Mathematical
      Philosophy | 
    Ian Stewart | 
    Is mathematics the grand design for the Universe,
      or merely a figment of the human imagination?  | 
  
  
    | Crashing the Barriers | 
    Mathematical
      Philosophy | 
    Ian Stewart | 
    Does it really matter if there are some things
      that science will never solve?  | 
  
  
    | Nature's Sums | 
    Biomathematics | 
    Simon Singh | 
    If DNA is the building blocks of biology then
      maths maybe the builder.  | 
  
  
    | Maths of tossed coin | 
    Chance | 
    Robert Matthews | 
    Equations say more than gravity is required to bring
      a tossed coin to a halt. | 
  
  
    | Ethnic Bias in Hiring/Alien
      Abduction | 
    Innumeracy | 
    John Allen Paulos | 
    Test disparities need not imply racism and
      mathematically making one's own pseudoscience. | 
  
  
    | Maps that shaped the
      world | 
    Cartography | 
    Ian Mundell  | 
     Like a huge piece of orange peel that refuses to
      be flattened without tearing at the edges, the globe cannot be forced into
      two dimensions without distortion. But that distortion can now be
      minimised. | 
  
  
    | Absolute Certainty? | 
    Proof | 
     | 
     Computers are transforming the way mathematicians
      discover,prove and communicate ideas,but is there a place for absolute certainty
      in this brave new world? | 
  
  
    | The Challenge of Large Numbers
       | 
    Number Theory | 
    Richard E. Crandall  | 
     As computer capabilities increase, mathematicians
      can better characterize and manipulate gargantuan figures. Even so, some
      numbers can only be imagined.  | 
  
  
    | Double Bubble,Toil and
      Trouble | 
    Minimal Surfaces | 
    Ian Stewart  | 
     Soap bubbles produce amazing colours and patterns.What
      is known about them,and what puzzles remain?  | 
  
  
    | Lunar M-pire | 
    4-Colour problem | 
    Ian Stewart  | 
     What is the smallest number of colours required
      to colour a map? | 
  
  
    | Tales of a neglected
      number | 
    Number Theory | 
    Ian Stewart  | 
     The Padovan Sequence is similar to Fibonacci. | 
  
  
    | Knots,Links and Videotape
       | 
    Knot Theory | 
    Ian Stewart  | 
     The topology of knots in Non-Euclidean
      spaces. | 
  
  
    | Glass Klein Bottles | 
    Topology | 
    Ian Stewart  | 
     The topology of Klein Bottles. | 
  
  
    | The Topological
      Dressmaker | 
    Topology | 
    Ian Stewart  | 
     The topology of dress making. | 
  
  
    | Finding the energy to solve a knotty
      problem  | 
    Knot Theory | 
    Ian Stewart  | 
     For at least a century, mathematicians have tried
      to find effective ways to distinguish between different knots.One method
      is based on physical considerations about the energy of knots.  | 
  
  
    | A Bundling Fool beats the
      wrap | 
    Minimal Surfaces | 
    Ian Stewart | 
    How to bundle,not bungle,tennis ball wrapping. | 
  
  
    | Arithmetic and Old Lace  | 
    Knot Theory | 
    Ian Stewart | 
    How to tie your sholaces properly. | 
  
  
    | The Power of One | 
    Number Theory | 
    Robert Matthews  | 
     Everyday numbers obey a law so unexpected it is
      hard to believe it's true. Armed with this knowledge, it's easy to catch
      those who have been faking research results or cooking the books.  | 
  
  
    | Dice and Determinism | 
    Probability | 
    Ian Stewart  | 
     The maths of probability from "Does God Play Dice?".
       | 
  
  
    | What is Randomness? | 
    Probability | 
    Ian Stewart  | 
     The maths of randomness and chaos from "Does God
      Play Dice?".  | 
  
  
    | Comeback for Mental
      Arithmetic | 
    Education | 
    Benedict Brogan | 
     All pupils will get new maths tests at 11 and 14.
       | 
  
  
    | Weighty Problem | 
    Education | 
     | 
     The Imperial versus Metric debate.  | 
  
  
    | New Maths | 
    Fractals | 
    Jeffrey Johnson  | 
     Mathematicians helped to establish computer science,
      but it is now bringing revolution to their own subject.  | 
  
  
    | The Reality of Risk | 
    Risk Analysis | 
    Transcript | 
     The social misunderstanding and misjudgement of
      risk leads to bad decision making.  | 
  
  
    | ENM 3 | 
    Mathematical
      Philosophy | 
    Roger Penrose | 
     The Platonic reality of mathematics.  | 
  
  
    | ENM 10 | 
    Geometry | 
    Roger Penrose | 
     Penrose Tilings and Quasi Crystals.  | 
  
  
    | Tourist 2 | 
    Primes | 
    Ivars Peterson | 
     Prime Pursuits.Prime numbers used in cryptography.
       | 
  
  
    | Tourist 4 | 
    Topology | 
    Ivars Peterson | 
     Shadows from Higher Dimensions.  | 
  
  
    | Tourist 7 | 
    Geometry | 
    Ivars Peterson | 
     The Fivefold Way.  | 
  
  
    | On Taking Another
      Look | 
    Perception | 
    Nicholas Humphrey | 
     Optical Illusion.  | 
  
  
    | Symmetry:The Thread of
      Reality | 
    Cosmology | 
    Ian Stewart | 
    How symmetry and symmetry breaking creates the natural
      world.  | 
  
  
    | Puzzling Passions | 
    Enigmas | 
    William Greaves | 
    Marcel Berlins investigates puzzles,something he
      apparently knows nothing about.  | 
  
  
    | Euclid's 5th | 
    Geometry | 
    Isaac Asimov | 
    Asimov explains why Euclid's 5th is not as simple
      as it seems at first sight.  | 
  
  
    | Odds and Evens | 
    Chirality | 
    Isaac Asimov | 
    Asimov considers polarity.  | 
  
  
    | The Left Hand of the
      Electron | 
    Chirality | 
    Isaac Asimov | 
    Asimov explains CPT and opposites.  | 
  
  
    | Unity within
      Diversity | 
    Mathematical
      Philosophy | 
    Davis and Hersh | 
    Euler's formula.  | 
  
  
    | The Prime Number
      Theorem | 
    Mathematics | 
    Davis and Hersh | 
    The Prime Number Theorem. | 
  
  
    | 4D Intuition | 
    Mathematics | 
    Davis and Hersh | 
    A look at the hypercube. | 
  
  
    | Comparative Aesthetics | 
    Mathematics | 
    Davis and Hersh | 
    Aesthetics within mathematics. | 
  
  
    | Station X | 
    Ciphering | 
    Geoff Ellis | 
    The work at Bletchley Park on ENIGMA. | 
  
  
    | Maths Fun | 
    Maths Education | 
    John Rees | 
    The curriculum and finding fun in maths. | 
  
  
    | Your Secret's Safe | 
    Cryptography | 
    Michael Brooks  | 
    The airwaves create an unbreakable code. | 
  
  
    | Skills we can count on | 
    Maths Education | 
    Andy Coghlan | 
    University students have problems with
      geometry. | 
  
  
    | Numbers with Altitude | 
    Review | 
    Robert Matthews | 
    John Casti's "Mathematical Mountaintops"
      reviewed. | 
  
  
    | Fibonacci Forgeries | 
    Maths | 
    Ian Stewart | 
    Number sequences,what number comes next? | 
  
  
    | Relative Failure | 
    Maths | 
    Robert Matthews | 
    Einstein's fudge factor. | 
  
  
    | 6 Degrees of Separation | 
    Maths | 
    Robert Matthews | 
    The Small World Effect. | 
  
  
    | Proof and Beauty  | 
    Maths | 
    Ian Stewart | 
    Is the elegant proof a lost art? | 
  
  
    | Gambling-A Global Fascination
       | 
    Maths | 
    Awake! | 
    For once I agree with Jehovah's Witnesses - Gambling
      is a problem. | 
  
  
    | On a Roll  | 
    Maths | 
    Dana McKenzie | 
    Understand randomness and you could win a Nobel
      Prize. | 
  
  
    | Numbered among the great
       | 
    Maths | 
    Hildi Hawkins | 
    Number lies behind scientific theory, ideas of artistic
      proportion and rules of musical harmony.How artists and scientists have seen
      meaning in number, and how patterns of numbers have guided them in their
      creative work. | 
  
  
    | The sum of human knowledge
       | 
    Numerology | 
    Hildi Hawkins | 
    The ancient art of interpreting numbers answers
      to a deep-seated human need to find meaning in even the most commonplace
      things and events. | 
  
  
    | The thought that counts
       | 
    Numerology | 
    Hildi Hawkins | 
    Ancient philosophers were enthralled by the mathematical
      relationships they found in nature, and believed that numbers underlay every
      aspect of reality.Certain numbers then acquired their own symbolic
      'personality'. |