Àâòîðèçàöèÿ
Ïîèñê ïî óêàçàòåëÿì
Sawyer W.W. — Mathematician's Delight
Îáñóäèòå êíèãó íà íàó÷íîì ôîðóìå Íàøëè îïå÷àòêó?
Íàçâàíèå: Mathematician's DelightÀâòîð: 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: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1969Êîëè÷åñòâî ñòðàíèö: 237Äîáàâëåíà â êàòàëîã: 22.01.2014Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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 208—15 Backgrounds of 214—15 Backgrounds of 210—12 Backgrounds of 210 Backgrounds of 212 Backgrounds of 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
Ðåêëàìà
|
|
Î ïðîåêòå