A Wealth of Numbers :An Anthology of 500 Years of Popular Mathematics Writing

Publication subTitle :An Anthology of 500 Years of Popular Mathematics Writing

Author: Wardhaugh Benjamin  

Publisher: Princeton University Press‎

Publication year: 2012

E-ISBN: 9781400841981

P-ISBN(Paperback): 9780691147758

Subject: O1 Mathematics

Keyword: 数学理论,智力游戏,数学

Language: ENG

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Description

Despite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening anthology--the first of its kind--gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor.


Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introd

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 Ladies' Diary: 1798

The Girl's Own Book: Lydia Marie Child, 1835

The Boy's Own Magazine: 1855

"The Analyst": 1874

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

Fun: 1863, 1870

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

Index

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