Mathematics for the Million

by Lancelot Hogben

Primers for the Age of Plenty (1)

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5 reviews
A masterful description of the field of Mathematics in the early 20th century. Hogben shows not just the how, but also the why, of mathematics, and sets it in the context of the historical questions it has aimed to answer. Sometimes his workings are slightly more difficult to follow than might be the case, and, irritatingly, he sets a number of exercises for the reader to complete, but does not give the answers to all the exercises at the back of the book!
I haven't finished this book, so this review can't be considered complete, but the thing I noticed the most about the introduction is that the author subscribes to a naive and quite arrogant Whig history oriented towards a plebeian narrative about mathematics moving from a toy of the aristocracy to a tool for the common man. This wouldn't be too annoying in a normal mathematics textbook, except for the fact that this one claims to introduce the subject via the historical context of the subject.

Moreover, the philosophical perspective Hogben betrays here ranges from questionable ('Platonism in mathematics has been shattered because of Einstein' p 21) to mostly false ('zeno's Achilles and the Tortoise paradox has been resolved by modern show more numerical notation and calculus' pp 10-14). Moreover, his account of Plato in particular and the history of ideas in general seems so far little better than a self-serving caricature. This is what is whiggish in him, and it should bother anyone who (1) knows about history and who (2) thinks they are gaining a legitimate historical knowledge from reading this book.

Perhaps there will be more subtlety in chapters to come. I can only hope so.
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Good education, when math in high school was no more than problem sets without background or context.
One of the Primers for the Age of Planty.
Indeholder "Forfatterens Undskyldning for at have skrevet Bogen", "I. Matematikken, Civilisationens Spejl", "II. Maalinger begynder eller Matematikken i forhistorisk tid", "III. Størrelsens, Ordenens og Tallets Grammatik eller Oversættelse af Talsprog", "IV. Geometri uden Graad eller Hvad kan man bruge Geometrien til?", "V. Fra Krise til Kryds og Tværs eller Aritmetikkens Begyndelsesgrunde", "VI. Verdens Størrelse eller Hvad vi kan bruge Trigonometrien til", "VII. Intets Daggry eller Hvordan Algebraen opstod", "VIII. Jorden rundt eller Sfæriske Trekanter", "IX. Reformationstidens Geometri eller Hvad er Kurver?", "X. Aritmetikkens Kollektivisering eller Hvordan Logaritmerne blev opdaget", "XI. Vækstens og Formens Aritmetik eller show more Infinitesimalregning", "XII. Statistik eller Det menneskelige Velfærds Aritmetik", "Tillæg til tolvte Kapitel. Statistiske Karakteristikker", "Efterskrift om Videnskab eller Matematikken og den virkelige Verden", "Tillæg", " I. Sinus Formler for Sfæriske Trekanter", " II. Ellipsens Ligning", " III. Binomial Paavisning af exponentielle Egenskaber", " IV. For at vise, at hvis n er meget stor, y = K(n,m) * p^m * q^(n-m) fører til y = A * e^(-b*x^2)", "Tabeller", "Svar paa Nogle af Opgaverne", "Register".

"Forfatterens Undskyldning for at have skrevet Bogen" handler om ???
"I. Matematikken, Civilisationens Spejl" handler om ???
"II. Maalinger begynder eller Matematikken i forhistorisk tid" handler om ???
"III. Størrelsens, Ordenens og Tallets Grammatik eller Oversættelse af Talsprog" handler om ???
"IV. Geometri uden Graad eller Hvad kan man bruge Geometrien til?" handler om ???
"V. Fra Krise til Kryds og Tværs eller Aritmetikkens Begyndelsesgrunde" handler om ???
"VI. Verdens Størrelse eller Hvad vi kan bruge Trigonometrien til" handler om ???
"VII. Intets Daggry eller Hvordan Algebraen opstod" handler om ???
"VIII. Jorden rundt eller Sfæriske Trekanter" handler om ???
"IX. Reformationstidens Geometri eller Hvad er Kurver?" handler om ???
"X. Aritmetikkens Kollektivisering eller Hvordan Logaritmerne blev opdaget" handler om ???
"XI. Vækstens og Formens Aritmetik eller Infinitesimalregning" handler om ???
"XII. Statistik eller Det menneskelige Velfærds Aritmetik" handler om ???
"Tillæg til tolvte Kapitel. Statistiske Karakteristikker" handler om ???
"Efterskrift om Videnskab eller Matematikken og den virkelige Verden" handler om ???
"Tillæg" handler om ???
" I. Sinus Formler for Sfæriske Trekanter" handler om ???
" II. Ellipsens Ligning" handler om ???
" III. Binomial Paavisning af exponentielle Egenskaber" handler om ???
" IV. For at vise, at hvis n er meget stor, y = K(n,m) * p^m * q^(n-m) fører til y = A * e^(-b*x^2)" handler om ???
"Tabeller" handler om ???
"Svar paa Nogle af Opgaverne" handler om ???
"Register" er et opslagsregister i denne ret volumiøse bog.

En gammel bog i en gammel tradition om at forsøge at gøre folk glade for matematik ved at vise hvad det kan bruges til. Typisk er det en prædiken for de allerede omvendte, for folk, der ikke kan lide matematik vil heller ikke kunne lide denne bog.
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Author
54+ Works 2,099 Members
Lancelot Hogben--a prolific British writer on topics as diverse as science, history, and politics--was born in Southsea, England, in 1895. Hogben was educated at Cambridge as a biologist, but never limited himself to a single field of inquiry. He is best remembered for his many books for adults and children that attempted to make math and science show more available to popular audiences. In Mathematics for a Million (1936) and Science for a Citizen (1938), Hogben offered adult readers detailed and readable texts on difficult subjects. His many books for children include First Great Inventions (1950) and Before Science Began (1970). One of Hogben's most ambitious projects emerged rather accidentally; in 1940, he and his daughter were trapped in Oslo, Norway, by the German invasion. The best plan Hogben could devise to return home to England was by making a 20,000-mile detour through Sweden, Russia, Siberia, Japan, and the United States--a journey he details in Author in Transit, a travelogue complete with commentary on politics, culture, science, and history. Hogben's academic career included stints at universities in England, Scotland, Canada, South Africa, and Guyana. He died in 1975. (Bowker Author Biography) show less

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Almqvist, Josef (Translator)
Björk, Lennart (Translator)
Bodmer, Waldemar (Translator)
Lundmark, Knut (Foreword)

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Common Knowledge

Canonical title
Mathematics for the Million
Original title
Mathematics for the Million
Original publication date
1936
Dedication
To C. K. Ogden
First words
There is a story about Diderot, the Encyclopaedist and materialist, a foremost figure in the intellectual awakening which immediately preceded the French Revolution.
Quotations
People must learn to read and write the language of measurement so that they can understand the open bible of modern science.
Last words
(Click to show. Warning: May contain spoilers.)When the educational powers of the cinema have been adopted to visualizing the use of mathematical symbols, anything which can be achieved by books and blackboards will seem trivial by comparison.
Blurbers
Einstein, Albert; Wells, H.G.
Original language
English
Canonical DDC/MDS
510

Classifications

Genres
Nonfiction, Science & Nature, General Nonfiction
DDC/MDS
510Natural sciences & mathematicsMathematicsMathematics
LCC
QA36 .H6ScienceMathematicsMathematicsGeneral
BISAC

Statistics

Members
669
Popularity
42,752
Reviews
5
Rating
½ (3.54)
Languages
10 — Danish, Dutch, English, Finnish, French, German, Italian, Norwegian (Bokmål), Portuguese, Swedish
Media
Paper, Audiobook, Ebook
ISBNs
20
ASINs
26