Chapter
Reducing Fractions: John Tapp, 1621
Decimal Fractions: Edward Hatton, 1695
Extracting Square Roots: William Banson, 1760
The Rule of Three: Wardhaugh Thompson, 1771
The Rule of Three, in Verse: Nathan Withy, 1792
"The First Analysts": Joseph Fenn, 1775
Quadratic Equations: The Popular Educator, 1855
Cubic Equations for the Practical Man: J. E. Thompson, 1931
3 "A Goodly Struggle": Problems, Puzzles, and Challenges
The Girl's Own Book: Lydia Marie Child, 1835
The Boy's Own Magazine: 1855
Can You Solve It?: Arthur Hirschberg, 1926
Mathematical Challenges: 1989
4 "Drawyng, Measuring and Proporcion": Geometry and Trigonometry
Points and Lines: Robert Recorde, 1551
Squares and Triangles: Thomas Rudd, 1650
Pythagoras's Theorem: Edmund Scarburgh, 1705
Trigonometrical Definitions: Edward Wells, 1714
The Resolution of Triangles: Hugh Worthington, 1780
Introduction to Spherical Geometry: Horatio Nelson Robinson, 1854
Napier's Rules: Alan Clive Gardner, 1956
5 Maps, Monsters, and Riddles: The Worlds of Mathematical Popularization
The Athenian Mercury: 1691–1697
Newton for the Ladies: Francesco Algarotti, 1739
Maps and Mazes: W. W. Rouse Ball, 1892
"Einstein's Real Achievement": Oliver Lodge, 1921
Riddles in Mathematics: Eugene P. Northrop, 1945
Fermat's Last Theorem: Hans Rademacher and Otto Toeplitz, 1957
Where Does It End?: Dan Pedoe, 1958
Yamátárájabhánasalagám: Sherman K. Stein, 1963
Saddles and Soap Bubbles: Iakov Isaevich Khurgin, 1974
"The Monster" Unveiled: The Times, 1980
6 "To Ease and Expedite the Work": Mathematical Instruments and How to Use Them
"Cards for the Sea": Martín Cortés, 1561
Making a Horizontal Sundial: Thomas Fale, 1593
Speaking-Rods: Seth Partridge, 1648
Telescopes Refracting and Reflecting: The Juvenile Encyclopedia, 1800–1801
Scales Simple and Diagonal: J. F. Heather, 1888
Making a Star Clock: Roy Worvill, 1974
PC Astronomy: Peter Duffet-Smith, 1997
7 "How Fine a Mind": Mathematicians Past
The Labyrinth and Abyss of Infinity: Voltaire, 1733
"It Must Have Commenced with Mankind": Charles Hutton, 1796
Kepler's Astronomical Publications: Robert Small, 1804
Isaac Newton, a Good and Great Man: Anonymous, 1860
Pythagoras and His Theorem: Thomas L. Heath, 1908
Seki Kōwa: David Eugene Smith and Yoshio Mikami, 1914
"Her Absolute, Incomparable Uniqueness": B. L. van der Waerden, 1935
"One of Your Calculating Fits": George Bernard Shaw, 1939
Analysis Incarnate: Carl Boyer, 1968
Hardy and Littlewood Rummage: Robert Kanigel, 1991
8 "By Plain and Practical Rules": Mathematics at Work
High Marshal and Camp Master: Leonard Digges, 1579
The Practical Gauger: William Hunt, 1673
Geodæsia: John Love, 1688
Plain Sailing: Archibald Patoun, 1762
High-Pressure Engines: William Templeton, 1833
The Strength of Materials: Lucius D. Gould, 1853
Plumbing and Hydraulics: William H. Dooley, 1920
Automobiles and Printing: Samuel Slade and Louis Margolis, 1941
9 "The Speedier Expedition of Their Learning": Thoughts on Teaching and Learning Mathematics
"To Have Their Children or Servants Instructed": Humfrey Baker, 1590
Euclid with Algebra: Isaac Barrow, 1660
The Idea of Velocity: Leonhard Euler, 1760
Mathematical Toys: "Mrs Lovechild," 1785
A Mother Explains Comets: Catherine Vale Whitwell, 1823
"Geometry without Axioms": Thomas Perronet Thompson, 1833
The Game of Logic: Lewis Carroll, 1887
Higher Mathematics for Women: Mrs. Henry Sidgwick, 1912
A New Aspect of Mathematical Method: George Pólya, 1945
New Math for Parents: Evelyn Sharp, 1966
"Merely a Formal Statement of the Way We Think": Robert E. Eicholz and Phares G. O'Daffer, 1964
Turtle Fun: Serafim Gascoigne, 1985
10 "So Fundamentally Useful a Science": Reflections on Mathematics and Its Place in the World
The Myrrour of the Worlde: Gossuin of Metz, 1481
"A Very Fruitfull Praeface": John Dee, 1570
"Geometry Is Improving Daily": Joseph Glanvill, 1664
The Fifth Element: Edmund Scarburgh, 1705
Of Mathematics in General: Richard Sault, 1710
Lineal Arithmetic: William Playfair, 1798
Astronomy in New South Wales: Charles Stargard Rumker, 1825
The Advantages of Mathematics: William Barnes, 1834
Sylvester Contra Huxley: J. J. Sylvester, 1870
What a Mathematical Proposition Is: Cassius Jackson Keyser, 1929
The Character of Physical Law: Richard P. Feynman, 1965
Our Invisible Culture: Allen L. Hammond, 1978
11 The Mathematicians Who Never Were: Fiction and Humor
Spider-Men and Lice-Men: Margaret Cavendish, 1666
In the Court of Lilliput: "Captain Gulliver," 1727
Automathes: John Kirkby, 1745
The Loves of the Triangles: John Frere, 1798
Master Senex the Astronomer: William Combe, 1815
An Ode to the Mathematics: Alfred Domett, 1833
"Some Veritable Urania": Augusta Jane Evans, 1864
A Sight of Thine Interior: Edwin A. Abbott, 1884
Scenes in the Life of Pythagoras: Geoffrey Willans and Ronald Searle, 1953
Bao Suyo: Kim Stanley Robinson, 1996