Stein S. — Strength In Numbers: Discovering the Joy and Power of Mathematics in Everyday Life :: Электронная библиотека попечительского совета мехмата МГУ

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Stein S. — Strength In Numbers: Discovering the Joy and Power of Mathematics in Everyday Life

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Название: Strength In Numbers: Discovering the Joy and Power of Mathematics in Everyday Life

Автор: Stein S.

Аннотация:

An Easygoing, Highly Entertaining Refresher on all the Math You'll Ever Need.What do two goats and a car have to do with making good decisions? Was the golden ratio used to build the Great Pyramid of Khufu? Can it be that some numbers are unmistakably "hot," while others are inherently "cool"? With his infectiously enthusiastic and engaging style, award-winning teacher and author Sherman K. Stein offers a new appreciation for mathematics, from the beauty of its logic ("as inevitable and memorable as a Mozart symphony") to its amazing power and pervasiveness in our lives. Requiring no math knowledge beyond basic arithmetic and high school geometry, Strength in Numbers is an enlightening introduction to all the math you'll ever need.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 285

Добавлена в каталог: 06.09.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Abel, Niels      36
Action syndrome      71
Action syndrome, examples of      71—72
Action syndrome, properties of      71—72
Adams, Abigail      7
Adams, John      7
Addition of fractions      151—153
Addition, associative law      128
Addition, commutative law      128
Adleman, L.      53 119
AIDS, estimates of cases      19
Alcohol, and driving      30—31
Aleph ( $\aleph$ )      201
Algebra, and jobs      63—68
Angle, construction of      35
Apery, Roger      37 45
Appel, Kenneth      37
Applications, calculus to computerized tomography (CT)      53
Applications, complex numbers to electricity      55
Applications, geometry to relativity theory      55
Applications, knots to DNA and physics      51—52
Applications, number theory to codes      53—55
Applications, parabola to reflections      187
Applications, Pythagorean theorem to horizon      171—172
Applications, slope to economics      218
Archimedes      40
Archimedes and $1^{2} + 2^{2} + ... + n^{2}$       233
Archimedes and buoyancy      40—41
Archimedes and equilibrium      41
Archimedes and estimate of $\pi$       176—177
Archimedes and large numbers      113
Archimedes and lever      40
Archimedes and surface and volume of ball      181
Area below $y = x^{2}$       221—225 226—229
Area below $y = x^{k}$       230
Area of a disk      180
Area of a parallelogram      219—221
Area of a rectangle      219
Area of a triangle      221
Area of the surface of a ball      181
Artabanus      72
Aslans, Larry      97
Associative law of addition      128
Associative law of multiplication      129
Astrology      27
Babylonians, and Pythagorean theorem      170—171
BAC (blood alcohol content)      30
Banach, Stefan      101
Bank Holiday      143
Banking, and geometric series      143—147
Bannister, Roger      12
Barbie doll      95
BART (Bay Area Rapid Transit)      14
Bart Simpson      96
Base, eight      12
Base, for numbers      81—84 131
Basics versus concepts      74 76 103
Begle, Ed.      79
Bell, E.T.      41
Benezet, L.P.      77
Bertrand, Joseph      36
Bieberbach conjecture      37
Bingham, Mindy      98
Blattmachr, Jonathan      69
Brouwer, L.E.J.      34
Brown, J.L., Jr.      72
Buffet, Warren      4
Buoyancy      40
Business, and mathematics      101
c (continuum)      202
Calculus      234
Calculus and formula for $\pi$       244
Calculus and jobs      62 64
Calculus, origin of term      64
Calvin and Hobbes      94
Cantor and infinite sets      198—201
Cantor, Georg      198
Cantor, Moritz      38
Careers, and mathematics      60—70
Cartoonists, and jokes about mathematics      94—95
Catenary      187
Cauchy, A.L.      181
Census, accuracy of      13
Chakerian, G.D.      78 162
Chudnovsky, G. and D.      177 179
Clinton, Bill      16 17
Co-numerous and infinite sets      201
Co-numerous, definition of      195
Co-numerous, examples of      196—197
Codes, using two primes      54 119
Cohen, Henri      118
Coloring maps      37
Colors, and numbers      21
Commutative law of addition      128
Commutative law of multiplication      125—127 129
Computers      44—49
Computers and base two      83
Computers and decimal for $\pi$       177 179
Computers and education      48
Computers and factors of large numbers      55 119
Computers and guarding against forecasts      48—49
Computers and mathematics      34
Computers and tomography      53
Computers, predicted demand      50
Constructivism      86
Continental Airlines      72
Cool numbers      10—13
Cool numbers and superstition      10
Cool numbers and the mile run      12
Cool numbers, definition of      10
Coopertive learning      79
coordinates      185—186
Crabill, Calvin      78
Craniometry      23
CT      53
cube      54 131
Davis, Martin      27
Dawkins, Richard      6
de Branges, Louis      37
Decimal system      33
Dedekind, Richard      198
Denumerable, definition of      201
Denumerable, irrationals not      201
Denumerable, rationals      198
Denumerable, real numbers not      199
Descartes, Rene      184
Distributive rule, applied      190
Distributive rule, definition of      129
Division      130
Division by zero      130 206
Division of fractions      155—156
DNA      51
Dress, Francois      118
Driving and alcohol      30—31
Driving, risk of      29—30
Dugdale, Sharon      93
Duhamel, J.C.M.      36
Education, and mathematics, Benezet, L.P.      77—78
Education, and mathematics, cooperative learning      79
Education, and mathematics, New Math      79—85
Education, and mathematics, parents, role in      96—99
Education, and mathematics, reform      74—93
Education, and mathematics, responsibility in      see "Responsibility in
Education, and mathematics, small-group learning approach      78—79
Education, and mathematics, standards      94—104 see "Teachers preparation
Egyptians, and rope triangle      38
Einstein, Albert      42
Eisenhower, Dwight      79
Equivalent fractions      150
Escape speed      157

Escher, M.C.      49
Ether      20 51
Euclid      35
Euler, Leonhard      37 54 135
Even number, definition of      159
Evener      114
Experts, role of      15
Exponential growth      131
Exponents      131—135
Exponents and arch in St. Louis      187
Exponents and product of negative numbers      191
Exponents and trigonometry      135
Exponents, -1      133
Exponents, 0      132—133
Exponents, fractional      134
Exponents, negative      133—134
Exponents, notation      113
Exponents, product law      132
Exponents, sum law      131
Factor      53
Faraday, Michael      50
Fermat's theorem      36
Fermat, Pierre, area under a parabola      226—229
Fermat, translating algebra into geometry      184
Feynman, Richard      84
fibonacci      33
Finn, Chester, Jr.      88
Fixed point theorem      34
Flannery, M. and J.      47
Flavor, and numbers      21
Four-color problem      37
Fractions      150
Fractions and number line      148
Fractions, addition of      151—153
Fractions, comparison of      150—151
Fractions, division of      155—156
Fractions, equivalent      150
Fractions, improper      149
Fractions, kit      149—150
Fractions, mixed      149
Fractions, multiplication of      154
Fractions, subtraction of      153
Fractions, teaching of      148—150
Franklin, Benjamin      100
Free Software Foundation      55
Freud, Sigmund      72
Frye, Shirley      173
Galbraith, John Kenneth      6
Galileo, G.      187
Galois, Evariste      36 41
Gauss, Carl Friedrich, and angles in a triangle      41
Gelfand, I.M.      37
Geoboard      166
Geoboard and the Pythagorean theorem      168—169
Geoboard, area on      167—168
Geometric series      136 138—140 246—247
Geometric series, applications of      140
Geometric series, area      226—229
Geometric series, banking      143—147
Geometric series, finding $\pi$       242—243
Geometric series, zero over zero      207
George, Stephen      102
Girls, and mathematics      62 98—99
Golden ratio      39—40 164
Googol      113
Googolplex      113
Gordon, Barbara      96 99
Gould, Stephen      23
Graph      186
Graph of $x^{2} + y^{2} = 25$       189
Graph of $y = 2^{x}$       189
Graph of $y = x^{2}$       187
Graph of y = 2x      188
Gregory, J.      235
Guilford, J.R.      21
Gulf War      13
Guns, risk from      29
Gutenberg, Johannes      33
Hadamard, Jacques      101
Haegg, Gunder      12
Haken, Wolfgang      37
Hardy, G.H.      36 53 118
Harmonic series      141
Harmonic series, sum of      141—142
Harvey, Tom      84
Height, and numbers      20
Heilman, Martin      55
Helaina      see "Stein Helaina"
Herodotus      39 72
Hilbert, David      101
Hilton, Conrad      4
HIV      19
Hot numbers      14—19
Hot numbers and BART      14
Hot numbers and education      17—18
Hot numbers and federal deficit      16
Hot numbers and HIV      19
Hot numbers and price of automobiles      17
Hot numbers and Vietnam War      16
Hungerford, Thomas      101
Income station      57
INTEGER      109
IQ      22—23
Irrational number      159
Irrational number and a rectangle      162—164
Irrational number, $\pi$       164
Irrational number, Greek view of      160
Irrational number, not denumerable      201
Irrational number, square root of 2      164
Japan, contrast with United States      97 98
Japan, texts in      92
Jason      see "Wexler Jason"
Jefferson, Thomas      9 69
Jennings, Luther      102
Jobs, components of      57
Jobs, mathematics required in      63—68
Kao, T.I.      171
Kasner, Edward      113
Kennedy, John E      72
Klein, Felix      101
Kline, Morris      42
Klyver, N.      26 27
Knots and DNA      51
Knots, definition of      51
Knots, problem of      51
Knots, The Learning Gap      94 96—98
Kolmogorov, A.N.      101
Lambert, J.H.      164 177
Laser      50
Lehman, R.      115
Leibniz, Gottfried      234 235
Leitzel, J.R.C.      101
Louis Harris Poll      19
Manheimer, Wallace      81
Map coloring      37
Markovsky, George      39
Mathematical Reviews      33
Mathematics and careers      60—70
Mathematics and jobs      3
Mathematics and law school      69
Mathematics and medical school      69
Mathematics and reading      96
Mathematics, attitude toward      6
Mathematics, education      see "Education and
Mathematics, how to read      107—111
Mathematics, new discoveries      33
Mathematics, six levels of      63—64
Mean      24
Median      24
Mendelssohn, Felix      36

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