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Sawyer W.W. Ч Mathematician's Delight
Sawyer W.W. Ч Mathematician's Delight

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Ќазвание: Mathematician's Delight

јвтор: Sawyer W.W.

јннотаци€:

W. W. Sawyer was one of the greatest teachers of mathematics within the past century. The continuing popularity (to the extent that books on math can be popular) of his other books Ч *Prelude to Mathematics* (which deals with advanced math) and *Vision in Elementary Mathematics* (which deals with arithmetic and basic algebra) Ч serve as evidence for the wonderful ability he had to make math seem useful and interesting to everyone from the math-phobic to the dedicated mathematician.

Contrary to some other reviews, Sawyer's prose was NOT dull or dry. We have to keep in mind the fact that *Mathematician's Delight* was written for an audience in the 1940's to 1950's Britain and Canada. Obviously, the style and tone won't be consistent with the way that we 21st century Americans are used to. But even giving him that benefit of the doubt, Sawyer's prose is always lively, entertaining, and full of insights into his chosen subject of mathematics as well as insight into why many people struggle with aspects of that subject.

I definitely agree with the positive aspects of the other reviews. This indeed is an excellent book to take you from the basics of algebra all the way up to and beyond calculus. I sincerely hope that someone brings this book back in print.



язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1969

 оличество страниц: 237

ƒобавлена в каталог: 22.01.2014

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abstract thought      36
Abstract words      29
Abstraction      32Ч4
Addition      55Ч7 60 221Ч2 224
Addition formulae, the      192
air pressure      166
Air resistance      132 133 215
Algebra      78Ч87 187 217
Algebra, Exercises in      84Ч7
Amplitude      225
Analysis      151
Analytical geometry      116
Applied mathematics      39 232
Approach to mathematics      7Ч54
areas      59Ч60
Argument      225
Arithmetic      28 55Ч69
Arithmetic, Cup Ч Tie problem      67Ч8
Arithmetic, Exercises in      65Ч9
Arithmetic, Income problem      68
Arithmetic, Montessori method      57
Arithmetical progressions      201
Backgrounds      200Ч15
Backgrounds of $e^x$      208Ч15
Backgrounds of $e^x$, Applications of $e^x$      214Ч15
Backgrounds of $e^x$, Change of scale      210Ч12
Backgrounds of $e^x$, Minus numbers      210
Backgrounds of $e^x$, the Number $e$      212
Backgrounds of $e^x$, the Series for $e^x$      213Ч14
Beam Wireless      175
Bett, Henry      105
Binomial coefficients      100Ч1
Binomial theorem      48 49 102
biology      27
Bricklaying      12
Brooke, Rupert      39
Cajori, F.      69
Calculus      120Ч39 149Ч51 160-1
Calculus, of Finite Differences      96Ч100
Cartwheel problem      155Ч7
Chemistry      26
Cinema Screens      89Ч90
Clockmaking      90
Co-ordinate geometry      135Ч6 176
comets      130
complex numbers      227 228 230 232 233
Compound interest      75 217
Convergence      207 231 232
Cooley      214
Cosecant      185
cosines      181Ч5 186 187 188Ч91 192 193 194
Cotangents      185
Counting      56
CURVES      139Ч59 175
Curves, Experiments and Illustrations      158Ч9
Cycloids      157
Dantzig, Tobias      56 216
Darwin, C. G.      160
Decimals      61
definitions      13 14
Degrees, measurement in      179Ч81 182
Design of locomotives      136
Development of Science      206
Dewey Decimal system      50
Differential and integral calculus      176
Differential calculus      120Ч39
Differential Calculus, Examples in      137Ч9
Differential equations      173Ч6
Differentiating Sines and Cosines      194Ч8
Differentiation      129
Differentiation, of a Product      162
Differentiation, of a Quotient      162
Differentiation, of a Series      204Ч5
Differentiation, of a Sum      162
Division      56 57
Dynamics      132Ч7 198
Edison      9
Egyptian Temples      15
Einstein, A.      29
Electricians and Complex numbers      228Ч30
Epicurean Philosophy      7
Epicycloids      157
Equations      187
Euclid      11 17 22 29 36
Exactness of mathematical terms      207 208
Experiments in Geometry      18Ч22
Exponential functions      95 208 215
Exponential functions, Law      215
Exponentials      218
Fear      43
Football fields, marking out      15
force      131Ч6 146 147
Force of gravity      25
Formulae      64 83 86 87 90 91 114 115 116 117 124 125 129 153 217 218
Formulae, in Cosines      189Ч91
Formulae, in Trigonometry      185Ч9 194
Fractions      59 60 61
Functions      96 115 116 163 164 204 205 217
GANs      214
Geometrical Progressions      201 202 204
Geometry      10Ч22 217
Gibbs, J. Willard      78
Glands      23
Goodman, J.      115
graphs      105Ч20 142Ч8 152 153 154 158 163 164 210
Graphs, Downhill      142Ч4
Graphs, Experiments and Illustrations      117Ч20 158-9
Graphs, Level      142
Graphs, Shape of      141 142 143 144 145 146
Graphs, Steep      142
Gravity      132
Great Circle Navigation      21
Great Pyramid, the      17
Greeks      15 16
Green, N. D.      119
HookeТs law      90
Hoosac Tunnel      176
Howlers      8
Hypocycloids      157
imaginary numbers      65
Imitation subjects      8
Integral sign      170
Integration      165Ч7
Integration, of series      205
Integration, sign used for      168Ч9
Integration, ways of seeing      170Ч3
Interest in work      42Ч3
Kingsley, Henry      11
Kline      214
Larrett, D.      160
Laws of motion      130
Learning to draw      24Ч5
Leech, Bosdin      139
LIMIT      157
Logarithms      69 77 152Ч5 163 164 205 207 212
Logarithms, calculation of      73 74
Logarithms, Exercises in      77 78
Logarithms, invention of      74 75
Logarithms, tables of      75 76
Maclaurin      214
Magnetism      175
Mahomet      215
Map-making      176Ч8 185 186-7
Mass, unit of      131
Mathematical reasoning      31
Mathematics, applied to Science      161
Mathematics, approach to      7Ч54
Mathematics, dread of      7Ч10
Measurement of angles      179
Measurement of speed      127Ч9 142Ч4 146 150
Measures      61
Measures, decimal system of      131
Measures, English system of      131
Measures, French system of      131
Meccano      16
Mechanical view of life      35Ч6
Mechanics      26
Memory      200
Methods of counting      56
Methods of study      40Ч54
Microbes      26
Minus numbers      62 63 210
Minus numbers, on graphs      117 119
Minus signs      63 64
Modulus      225 226 227
Money-lending      208Ч9 214
Montessori method of arithmetic      57
Movement in a circle      198
Multiplication      57 58 64 69 76
Multiplication, of fractions      59 60
Musconetcony Tunnel      176
Mysterious faculty, the      28 29
Napier      75 76
Natural logarithms      155
negative numbers      61 62 63 144
Newton      25 130
Nunn, T. Percy      87
Object of mathematics      10
Operation      219 220 221 222 223 224 225Ч6 227
Operators      65 219Ч23 226 227 230
Origin of words      13
parabola      175
Parabolic mirrors      175
Parallelogram law      221Ч2 224 229
Parrot-learning      8Ч9 60
Particle      37
Pattern      58 65 66
Perfection      13 24
Perry, John      22 40 54 121
Philosophy      30
Pledge, H. T.      200
Plus signs      63 64
Poe, Edgar Allan      31
Population of the U.S.A.      214
Porpoise, velocity of      139
Positive numbers      65
Powers of x      90Ч5 125 204
Practical problems of the seventeenth century      206
Pressure of atmosphere      215
Principles of swimming      24
Progressions      200Ч4
Progressions, Arithmetical      200Ч1
Progressions, Geometrical      201 202Ч4
Pure mathematics      37Ч40 233
purpose      49
PythagorasТ theorem      187Ч9 190 191
Quality of success      23
Quiller Ч Couch, Sir A.      113
RADIANS      179Ч81 182 183 195 196 197
Railway, emergency services      158
Railway, time-tables      158
Ramanujan      58
ratio      212
Reasoning      22Ч40
Reasoning and Imagination      31Ч2 39Ч40
Reasoning in mathematics      26
Rectangles      11Ч12 58
Reference books      50 51 52
Reference Books, libraries      50 52
Reference Books, method of indexing      50
Research      49Ч52
revision      45 47 48
Right-angled triangles      181 182 188 189 193 217
Right-angles      13
Rough Ideas      149Ч58 159 167 168
Rough Ideas, Examples      152Ч5
SCALE      220
Scheildrop, E. B.      177
Secant      185
Self-confidence      43
Series      202Ч8 216Ч17 230-1
Series, dangerous      231
Series, dangers of      206Ч8
Shaw, Bernard      22
Shipbuilders      139
Signs for speed      127Ч9
Signs of addition      60
Signs of subtraction      60
simplifying      82
Simultaneous equations      79
SINEs      181Ч5 186 187 188 189 190 191 192 193 194
Sines and Cosines      217Ч18 232
Sines and Cosines, formulae for      218
Sines and Cosines, table, of      206
Sines, differentiating      194Ч8
Slide-rule      69Ч76 77 154
Slide-rule, Exercises in      77
Solution of triangles      187
Specialists      52Ч3
Speed      148Ч9
Speed, average      127Ч8 149
Speed, exact      150
Speed, of a moving point      143Ч4
Speed, steady      141Ч2
Speed, variable      142
Square root of minus one      27 38 216Ч33
Square roots      65
Statics      133Ч6 198
Steepness      142Ч3
straight lines      36 37
Study of speed      120Ч39
Subtraction      56 63 64
tangents      185
Taylor      214
teaching      7 9Ч10 22 54
temperatures      149
Tennis      24
Triangle of forces      221Ч2 224 229
Triangles      16 17
Trigonometry      176Ч200 218
Trigonometry, exercises in      198Ч200
Trigonometry, formulae      185Ч91 194
Tunnels, building      176
Tylor, E. B.      56
Types of Growth      87Ч104
Uniform convergence      207
Use of brackets      63
Variable speed      142Ч3
Velocity      129 139
Wahlert      214
Way, R. B.      119
Williams, A.      176
Young, J. W. A.      54
Zeuthen      187
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