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Sawyer W.W. — Mathematician's Delight
Sawyer W.W. — Mathematician's Delight



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Íàçâàíèå: Mathematician's Delight

Àâòîð: Sawyer W.W.

Àííîòàöèÿ:

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 — *Prelude to Mathematics* (which deals with advanced math) and *Vision in Elementary Mathematics* (which deals with arithmetic and basic algebra) — 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.



ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1969

Êîëè÷åñòâî ñòðàíèö: 237

Äîáàâëåíà â êàòàëîã: 22.01.2014

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Abstract thought      36
Abstract words      29
Abstraction      32—4
Addition      55—7 60 221—2 224
Addition formulae, the      192
air pressure      166
Air resistance      132 133 215
Algebra      78—87 187 217
Algebra, Exercises in      84—7
Amplitude      225
Analysis      151
Analytical geometry      116
Applied mathematics      39 232
Approach to mathematics      7—54
areas      59—60
Argument      225
Arithmetic      28 55—69
Arithmetic, Cup — Tie problem      67—8
Arithmetic, Exercises in      65—9
Arithmetic, Income problem      68
Arithmetic, Montessori method      57
Arithmetical progressions      201
Backgrounds      200—15
Backgrounds of $e^x$      208—15
Backgrounds of $e^x$, Applications of $e^x$      214—15
Backgrounds of $e^x$, Change of scale      210—12
Backgrounds of $e^x$, Minus numbers      210
Backgrounds of $e^x$, the Number $e$      212
Backgrounds of $e^x$, the Series for $e^x$      213—14
Beam Wireless      175
Bett, Henry      105
Binomial coefficients      100—1
Binomial theorem      48 49 102
biology      27
Bricklaying      12
Brooke, Rupert      39
Cajori, F.      69
Calculus      120—39 149—51 160-1
Calculus, of Finite Differences      96—100
Cartwheel problem      155—7
Chemistry      26
Cinema Screens      89—90
Clockmaking      90
Co-ordinate geometry      135—6 176
comets      130
complex numbers      227 228 230 232 233
Compound interest      75 217
Convergence      207 231 232
Cooley      214
Cosecant      185
cosines      181—5 186 187 188—91 192 193 194
Cotangents      185
Counting      56
CURVES      139—59 175
Curves, Experiments and Illustrations      158—9
Cycloids      157
Dantzig, Tobias      56 216
Darwin, C. G.      160
Decimals      61
definitions      13 14
Degrees, measurement in      179—81 182
Design of locomotives      136
Development of Science      206
Dewey Decimal system      50
Differential and integral calculus      176
Differential calculus      120—39
Differential Calculus, Examples in      137—9
Differential equations      173—6
Differentiating Sines and Cosines      194—8
Differentiation      129
Differentiation, of a Product      162
Differentiation, of a Quotient      162
Differentiation, of a Series      204—5
Differentiation, of a Sum      162
Division      56 57
Dynamics      132—7 198
Edison      9
Egyptian Temples      15
Einstein, A.      29
Electricians and Complex numbers      228—30
Epicurean Philosophy      7
Epicycloids      157
Equations      187
Euclid      11 17 22 29 36
Exactness of mathematical terms      207 208
Experiments in Geometry      18—22
Exponential functions      95 208 215
Exponential functions, Law      215
Exponentials      218
Fear      43
Football fields, marking out      15
force      131—6 146 147
Force of gravity      25
Formulae      64 83 86 87 90 91 114 115 116 117 124 125 129 153 217 218
Formulae, in Cosines      189—91
Formulae, in Trigonometry      185—9 194
Fractions      59 60 61
Functions      96 115 116 163 164 204 205 217
GANs      214
Geometrical Progressions      201 202 204
Geometry      10—22 217
Gibbs, J. Willard      78
Glands      23
Goodman, J.      115
graphs      105—20 142—8 152 153 154 158 163 164 210
Graphs, Downhill      142—4
Graphs, Experiments and Illustrations      117—20 158-9
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
Hooke’s law      90
Hoosac Tunnel      176
Howlers      8
Hypocycloids      157
imaginary numbers      65
Imitation subjects      8
Integral sign      170
Integration      165—7
Integration, of series      205
Integration, sign used for      168—9
Integration, ways of seeing      170—3
Interest in work      42—3
Kingsley, Henry      11
Kline      214
Larrett, D.      160
Laws of motion      130
Learning to draw      24—5
Leech, Bosdin      139
LIMIT      157
Logarithms      69 77 152—5 163 164 205 207 212
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      176—8 185 186-7
Mass, unit of      131
Mathematical reasoning      31
Mathematics, applied to Science      161
Mathematics, approach to      7—54
Mathematics, dread of      7—10
Measurement of angles      179
Measurement of speed      127—9 142—4 146 150
Measures      61
Measures, decimal system of      131
Measures, English system of      131
Measures, French system of      131
Meccano      16
Mechanical view of life      35—6
Mechanics      26
Memory      200
Methods of counting      56
Methods of study      40—54
Microbes      26
Minus numbers      62 63 210
Minus numbers, on graphs      117 119
Minus signs      63 64
Modulus      225 226 227
Money-lending      208—9 214
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      219 220 221 222 223 224 225—6 227
Operators      65 219—23 226 227 230
Origin of words      13
parabola      175
Parabolic mirrors      175
Parallelogram law      221—2 224 229
Parrot-learning      8—9 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      90—5 125 204
Practical problems of the seventeenth century      206
Pressure of atmosphere      215
Principles of swimming      24
Progressions      200—4
Progressions, Arithmetical      200—1
Progressions, Geometrical      201 202—4
Pure mathematics      37—40 233
purpose      49
Pythagoras’ theorem      187—9 190 191
Quality of success      23
Quiller — Couch, Sir A.      113
RADIANS      179—81 182 183 195 196 197
Railway, emergency services      158
Railway, time-tables      158
Ramanujan      58
ratio      212
Reasoning      22—40
Reasoning and Imagination      31—2 39—40
Reasoning in mathematics      26
Rectangles      11—12 58
Reference books      50 51 52
Reference Books, libraries      50 52
Reference Books, method of indexing      50
Research      49—52
revision      45 47 48
Right-angled triangles      181 182 188 189 193 217
Right-angles      13
Rough Ideas      149—58 159 167 168
Rough Ideas, Examples      152—5
SCALE      220
Scheildrop, E. B.      177
Secant      185
Self-confidence      43
Series      202—8 216—17 230-1
Series, dangerous      231
Series, dangers of      206—8
Shaw, Bernard      22
Shipbuilders      139
Signs for speed      127—9
Signs of addition      60
Signs of subtraction      60
simplifying      82
Simultaneous equations      79
SINEs      181—5 186 187 188 189 190 191 192 193 194
Sines and Cosines      217—18 232
Sines and Cosines, formulae for      218
Sines and Cosines, table, of      206
Sines, differentiating      194—8
Slide-rule      69—76 77 154
Slide-rule, Exercises in      77
Solution of triangles      187
Specialists      52—3
Speed      148—9
Speed, average      127—8 149
Speed, exact      150
Speed, of a moving point      143—4
Speed, steady      141—2
Speed, variable      142
Square root of minus one      27 38 216—33
Square roots      65
Statics      133—6 198
Steepness      142—3
straight lines      36 37
Study of speed      120—39
Subtraction      56 63 64
tangents      185
Taylor      214
teaching      7 9—10 22 54
temperatures      149
Tennis      24
Triangle of forces      221—2 224 229
Triangles      16 17
Trigonometry      176—200 218
Trigonometry, exercises in      198—200
Trigonometry, formulae      185—91 194
Tunnels, building      176
Tylor, E. B.      56
Types of Growth      87—104
Uniform convergence      207
Use of brackets      63
Variable speed      142—3
Velocity      129 139
Wahlert      214
Way, R. B.      119
Williams, A.      176
Young, J. W. A.      54
Zeuthen      187
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