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Bakst A. — Mathematics. Its Magic and Mystery
Bakst A. — Mathematics. Its Magic and Mystery



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Íàçâàíèå: Mathematics. Its Magic and Mystery

Àâòîð: Bakst A.

Àííîòàöèÿ:

There was a time when mathematics was regarded as an intricate subject that could be mastered only by the elite of the scholarly world. Fortunately, this day is long passed. We now know that anyone with a taste for figures and an interest in reading can find a vast enjoyment in the symmetry and harmony of basic mathematics and in the solving of mathematical problems.
This book is designed to make mathematics interesting. The science is not treated formally; abstract conceptions and uninteresting and abstruse procedures are completely avoided; yet at the same time the book is sufficiently complete so as to give a broad picture of mathematical fundamentals. Mathematics, in order to be appreciated by those who do not have a flare for the intangible must be seen in the light of its versatility in the various fields of human endeavor. This is very much the central theme of this book.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñåðèÿ: Ñäåëàíî â õîëëå

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1945

Êîëè÷åñòâî ñòðàíèö: 802

Äîáàâëåíà â êàòàëîã: 10.10.2012

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Googolplex      74 112
Gravitation      638 640 679 684—685 690- 691 701
Gravitation, force of      679 684—685 690—691 701
Gravitation, force of, for various latitudes      690 691
Gravitation, law, of universal      640
Great circle      605—608
Great Pyramid      102—103
Grille      89—98
Gyroscope      664
Helix      603
Here, coordinate of      612
Horizon      481—483
Horizon distance, formula for      483
Horsepower      645
Hyperbola, equation of      418—419
Hyperbola, relation to circle      515 519
Impulse      634—635 646
Inequalities, method of      568—570 572
infinity      402 515 517
Infinity, graphical representation of      515 517
Instalment buying      224—240
Instalment buying of a house      236—240
Instalment buying, formula for instalments and interest      238 240
Instalment buying, periodical payments      230—232
Instruments for surveying      429—445 450
Interest on mortgages      243—245
Interest on small loans      240—243
Interest, compound      260—262 283—285 295—299
Interest, simple      228—229 240—245
Inverse operation      385
Kepler      630
Kepler’s laws      631
Law of Cosines      747
Law of falling bodies      633 651 659
Law of Sines      747
Law of tangents      747
Law of universal gravitation      640
Laws of Kepler      631
Laws'of exponents      173—177 266—269 712—713
Length of year      103—104
Length, units of measure      68
Life expectancy      345—349
Light, speed of      71 76 78
Line-world      378
Linear equations      186—220 718—724
Linear equations in one unknown      186—193 195 201- 208 218—220 718—722
Linear equations, rules for solution      720—722
Linear equations, systems in two unknowns      722—724
Locks at the base      2 269—271
Locks of fractions, negative      273 280
Locks, calculation of      2 75—278
Locks, characteristic      280
Locks, common      271—280
Locks, mantissa      281
Locks, rules for operations with      274—275 282 749—753
Locks, see combinations      356—359
Locks, tables      749—755
Logarithms      264—294 717 749—755
Logarithms, applications of, to      281 294
Logarithms, Compound interest      283—285
Logarithms, Depreciation.      292—294
Magnification of angle of vision      477
Magnitude of starlight      289—292
Mass      633 635
Mathematical expectation      349—350
Maximum      574 577 579 581 582
Mean, arithmetic      579—580 710
Measure of angle      402—403
Measure of area, unit of      525
Measure of eyesight      475
Measure of volume, unit of      541
Measurement of noise      287—289
Mechanics      609—640 678—704
Metric system, lengths      68
Million      51—52
Million times      53 69
Minimum      573 579 581—582
Missing numerals, problems with      142 149
Molecule, dimensions of      69—70
Mortgages      243—245
Motion along a circle      628
Motion uniform      615 621
Motion uniform, equation of      621
Motion, accelerated      622
Motion, amount of      634—635 646
Motion, equation of      625
Motion, uniformly accelerated      622—626
Multiplication      22—23 25—27 29 108 110—111 127—133 145 163-166 209—223 707—709
Multiplication by complements      130—132 165 209 223
Multiplication in various systems of numeration      22—23 25—27
Multiplication of approximate numbers      108 110 111
Multiplication of fractions      709
Multiplication of polynomials      707—708
Multiplication of signed numbers      163 706
Multiplication, rapid      127—133 164—166 209-223
Multiplication, restoration of missing numerals      145
MUSIC      285—287
Music, Price mark-up      281—283
Music, tempered scale      285—287
Myriad, see Archimedes      59—60 74
Napier, John      119 265—266 269 272
Napier’s rods      117—121
Napier’s rods, calculating machine      120
Napier’s rods, multiplication with      118
Needle problem of Count Buffon      350—353
Negative exponents      67 176
negative numbers      158—163
Newton      628 640
Newton’s law of universal gravitation      640
Normal vision      475 485
Notch      1 2 11
Now, coordinate of      612
NUMBER      9 999 38 10 001 37 10 101 37 99 999 38 111 111 38 142 857 45—47 999 999 38
Number curiosities      39—45 48—50 166- 170
Number curiosities, analyzed      40—42 166—170
Number of electrons in the universe      73
Number scale, directed      161 516—517
Number system of Archimedes      59—60
Number tricks      150—157
Number, absolute value      159 161
Number, negative      158—163
Number, positive      158—163
Number, property of      31—47 2 31 5 31 9 31 12 32—33 99 34 365 34 999 35 1 001 36
Numbers with repeated digits      43—45
Numbers, approximate      103—104 106 108—112
Numbers, directed      158—163 706
Numbers, memorization of      126—127
Numbers, operations with      706
Numerals      3—7
Numerals, Babylonian      4
Numerals, Chinese      5—6
Numerals, Egyptian      4
Numerals, Greek      7
Numerals, Hebrew      7
Numerals, letter      6—7 127 134—137
Numerals, missing and restoration of      142—14
Numerals, Roman.      4—5
Numerals, Tatar      3
Numeration, Chinese, Je — Kim      15
Numeration, code writing, application to      94—96
Numeration, decimal      9—10 32
Numeration, five      9—10 18 25
Numeration, puzzles and tricks      137—141
Numeration, systems of      9—33 94—96 137—142
Numeration, three      16—17 25
Numeration, twelve      18 27 32—33
Numeration, two      12—14 25
Numeration, unitary      11
Numeration, weight problems      141—142
Odds      343—345
One dimension      378
Orbit      626—628
Origin of coordinates      379 392—393
Origin of coordinates, moving of      393
Paper folding      429—430
parabola      413—415 419 515 519 625—626
Parabola, equation of      414
Parabola, graph of      419
Parabola, relation to circle      515 519
Parabola, time line      625—626
Parallel lines      495 500 503 518 591 729
Parallel lines and infinity      518
Parallel lines, transversal to      591
Parallelogram      505 527
Parallelogram, area      527
Past, representation of      613
Path of projectile      650 653 656 660 685
Percent      225—228
Percentage, three cases of      226—227
Perpendicular lines      398 500
Physical relations, table      635
Physics      609—640 678—704
Pi $(\pi)$      352 458—459 468 513—514
Pi $(\pi)$ in probability      352
Pi $(\pi)$, calculation of      513
Plane, properties of      522
Point-world      377
Polygons, regular      738—739
Polyhedra      739—743
Polyhedra, areas of surfaces      742—743
Polyhedra, descriptions of      739—741
Polyhedra, volumes      742—743
Power      635
Power, operations with      712—713
Present, representation of      613
Prism, volume of      542 544—545
probability      329—353
Probability, addition      340—342
Probability, coincidence      333 337 342—343 348- 349
Probability, dice      342—343
Probability, measure of      330—333
Probability, multiplication of      335—336
Probability, odds      343—345
Problems with missing numerals      134 137
Proportion      424—426 549—550 555-558 710
Protractor      430
Pyramid, volume      552
Pythagoras, generalization      497—498
Pythagoras, Theorem of      383—385 496- 498 733
Quadrangle      500 729—730 733
Quadratics equations      674—675 724—727
Quadratics equations, roots      724—727
Quadrilateral      500
Radius of circle      394
Railroad timetable, graph of      613
Raising to a power, see exponents      173 177 266—269 711
Rate of compounded growth      303—305
Rate of continuous depreciation      311 313
Rate, problems in      199—201 203—207
ratio      423 425
Recoil of gun      646—648
rectangle      108 501—502 526
Rectangle, area      108 526
Rectangle, diagonals      502
Reflection of light, property of      437
Restoration of missing numerals      142 149
Restoration of missing numerals, addition      143 144
Restoration of missing numerals, construction of problems      147—149
Restoration of missing numerals, division      146
Restoration of missing numerals, multiplication      145
Restoration of missing numerals, subtraction      144
Rhombus      502 733
Rhombus, diagonals      502
Rifling of the gun barrel      665
Roots      218—221 282 385—386 711-715
Rule for creating worlds of any number of dimensions      523
Rules for signs in operations with directed numbers      161—163
Screw-curve on a cylinder      598 600
Secant of circle      603
Shortest distances      585—608
Sides, number of, four-dimensional cube (cuboid)      562
Sides, number of, in five-dimensional cube      562
Sides, number of, square      561
Sides, number of, straight line      560
Sides, number of, three-dimensional cube      561
Signed numbers      158—163 706
Signed numbers, operations with      706
Significant, digits      108—110
Signs      705
Similarity of triangles      422 424—425 548—549
Sine law      747
Sine ratio      403 744
Sine ratios, table      764—765
Small loans, interest on      240—243
Small numbers      65—67
Solid geometry      538—563 585—608
Solution of triangles      453—455 745 747
Speed      620
speed of light      71 73
Sphere      412 546—547 554 605—608 743
Sphere, area of surface      554
Sphere, equation of four-dimensional      412
Sphere, equation of ten-dimensional      412
Sphere, equation of three-dimensional      412
Sphere, great circle      605
Sphere, shortest route on      606—608
Sphere, volume      546—547
Spinning top      664
Spiral screw      603
Square      384 501
Square root      218—221 385—386 714-715
Square root, concept of      385—386
Square root, extraction of, approximate methods      218—221
Square root, numerical extraction      714—715
Square roots of numbers, table      758—762
Square unit of measure      525
Square, area      384
Square, diagonals      501
Square, properties of      384
Squares of numbers, table      753 756—757
Straight line, equation of      374—376
Straight line, graph of      375
Straight line, properties of      378
Straight line, shortest distance, along a      586
Subtraction in various systems of numeration      20—21 29
Subtraction of approximate numbers      110—111
Subtraction of fractions      709
Subtraction of signed numbers      161 706
Subtraction, restoration of missing numerals      144
Sum of interior angles of a polygon      514—515
symbols      705
Tables of Addition for various systems of numeration      24—27
Tables of American Experience Mortality      347
Tables of Logarithms of numbers      749—755
Tables of Multiplication for various systems of numeration      24—27
tabulation      1—2
Tangent Law      747
Tangent ratio      399—405 744
Tangent ratios, table      768—769
Tangent to circle      481 603 736
Tangent to sphere      481 604
Target distance      663
Temperature, absolute      159—160 702
Temperature, centigrade      158—160 180—181
Temperature, Fahrenheit      138 158—160 320—324
Test for odd and even numbers      28—30
Three dimensions      387—388
Three-system of numeration      16—17 25
Time      609 635
Time coordinate      610
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