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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
$\textbf{e}$, applications of      303—311 316—328
$\textbf{e}$, barometric pressure and elevation      316—320
$\textbf{e}$, calculation of      299 301
$\textbf{e}$, cooling      320—324
$\textbf{e}$, long distance telephoning      327
$\textbf{e}$, parachute jumping      326
$\textbf{e}$, slowing down of speeds      324 327
$\textbf{e}$, suspension bridges      328
$\textbf{e}$, value of      301
Absolute temperature      159—160
Absolute value of a number      159 161
Acceleration      623 629 633 635 637
Acceleration, centribetal      629 637 680 683 694
Acceleration, negative      695
Addition in various systems of numeration      19—20 25—27 29
Addition of approximate numbers      109—110
Addition of fractions      709
Addition of signed numbers      161
Addition, restoration of missing numerals      143 144
After, coordinate of      612
Aiming at a target      646—649 667—669 677
American Experience Mortality Table      347
Amount of motion      634—635 646
Angle of elevation of gun      669—676
Angle of vision      470
Angle, central      735
Angle, dihedral      587
Angle, exterior of a triangle      592 602
Angle, inscribed in a circle      735
Angle, measure of      402—403
Angle, right      398
Angle, straight      398
angles      727
Angles, vertical      495
Angular magnitude      470 472
Applications of mathematics to Astronomy      289—292 630—640
Applications of mathematics to Athletics      689—692
Applications of mathematics to Automobile accidents      699—700
Applications of mathematics to Aviation      316—320
Applications of mathematics to Ballistics      641—677
Applications of mathematics to Banking and Savings      260—263 283- 285 295—305
Applications of mathematics to Business      201—202 281—283 292-294 306—313
Applications of mathematics to Circus stunts      685—689 692—694 696- 699
Applications of mathematics to—Cont., Code writing      79—101
Applications of mathematics to—Cont., Instalment buying      224—246
Applications of mathematics to—Cont., Life insurance      345—349
Applications of mathematics to—Cont., Mechanics      609—640 678—704
Applications of mathematics to—Cont., Mortgages      243—245
Applications of mathematics to—Cont., Motoring      694—696
Applications of mathematics to—Cont., Music      285—287
Applications of mathematics to—Cont., Physics      285—292 316 324 609—640 678—704
Applications of mathematics to—Cont., Small loans      240—243
Applications of mathematics to—Cont., Surveying      420—455
Applications of mathematics to—Cont., Warfare      475 487—488 641—677
Approximate formulas      220—223 771
Approximate formulas for division      221 771
Approximate formulas for extraction of roots      223 533 771
Approximate formulas for raising to a power      771
Approximate numbers      103—104 106 108—112
Approximate numbers, nature of      107
Approximate numbers, rounding      109 111
Approximate numbers, rules for operations with addition      109—110
Approximate numbers, rules for operations with division      110
Approximate numbers, rules for operations with multiplication      108 110—111
Approximate numbers, rules for operations with subtraction      110—111
Approximate numbers, significant digits      108—110
Archimedes      59—60 513 559
Archimedes, calculation of pi $(\pi)$      513
Archimedes, number of sands in die universe      59 559
Area of circle      531—534
Area of parallelogram, rule for computation      527
Area of polygons      733—734
Area of rectangle, computation of      108
Area of rhombus      733
Area of rule for computation      526
Area of square      384
Area of surface of the earth      249
Area of trapezoid      530
Area of triangle      531
Area, concept of      524—525
Area, unit of measure      525
Areas of similar figures      549—550 558
Arithmetic mean      579—580 710
Arithmetic progression      224—245 715
Arithmetic progression, any term      234 715
Arithmetic progression, sum of      235 716
Astronomy      289—292 630—640
Axioms      371
Axis of cylinder      598
Ballistics      641—677
Banking and Savings      260—263 283—285 295—305
Before, coordinate of      612
Big numbers      57—58 60—65 73—75 172- 185
Big numbers, comparison of      61—65
Big numbers, problems with      172 173 175 177—179
billion      54—56 58
Billion times      56
Binomial expansion      337—339 717—718
Binomial expansion, coefficients of      339
Blood corpuscle, red, dimensions of      68
Boring of gun barrel      665
Calculating machines      117—124
Calculating machines, Napier’s rods      117—121
Calculating machines, Schoty      121—122
Calculating machines, Soroban      121
Calculating machines, Suan-pan      123—124
Centigrade      138
Centrifugal force      629 684
centripetal acceleration      629 637 680 683 694
Certainty      330—332
Chord of a circle      471
circle      394—396 406 409 416—419 457 459 471 628 734—737
Circle, arc      737
Circle, area      531—534 737
Circle, chord      471
Circle, circumference      457 459 737
Circle, diameter      471
Circle, equation of      395—396 406 409 416- 419
Circle, motion along      628
Circle, radius      394
Circle, sector      737
Circle, segment      737
Circle, tangent to      736
Circles, walking in      465—468
Classification in libraries      7—8
Classification in mathematics      508—510
Classification in other fields      510—511
Classification, method of      7—8 508—511
Code writing      79—101
Code writing, grille      89—98
Code writing, substitution      98—101
Code writing, systems of numeration      88—89
Code writing, transposition      78—85
Code writing, transposition of columns      85—89
Code writing, two-system of numeration      94—96
Coincidence, probability of      333 337 342—343 348—349
Collision of objects      696—700
Combinations      354—364
Combinations, locks      356—359
Component velocity      685
Compound interest      260—262 295—299
Compound interest computed      295—299
Compound interest computed, annually      2 95 296
Compound interest computed, daily      299
Compound interest computed, monthly      299
Compound interest computed, quarterly      298—299
Compound interest computed, semiannually      296—298
Compound interest, accumulation of capital      261—262 283—285
Compound interest, savings with regular deposits      261 262
Cone      552 582—584 601
Cone, generator of      601
Cone, volume      552
Congruence of triangles      421 426
Coordinate geometry, plane      365—376 378—380 386—387 392—411 413-419
Coordinate of after      612
Coordinate of before      612
Coordinate of here      612
Coordinate of time      612
coordinates      368—374 379 392—393 521 612
Coordinates in four dimensions      374
Coordinates in six dimensions      521
Coordinates in three dimensions      373
Coordinates in two dimensions      368—371
Coordinates, moving of origin      392—393
Coordinates, origin      379
Copernicus      630
Cosine law      747
Cosine ratio      403 744
Cosine ratios, table      766—767
Counting      1—2
Cube, five-dimensional      562
Cube, volume of      543
Cubed unit      541
Cubes, five-dimensional cube      562
Cubes, four-dimensional cube (cuboid)      561
Cubes, number of in volume of      561 562
Cubes, three-dimensional cube      561
Cuboid, four-dimensional cube      562
Cuboid, number in a five-dimensional cube      562
Curve of death      313—316
Curve of growth      313—316
Cylinder      545—546 566 594 598
Cylinder, axis of      598
Cylinder, generator of      594
Cylinder, volume      545—546 566
Decimal system of numeration      9—10 32
Depreciation      292—294 306—313
Depreciation, rate of continuous      311—313
Diameter of a circle      471
Diameter of the earth      104
Difference as a metkod of comparison      423
Dihedral angle      587
Directed numbers      158—163 706
Distance formula for four dimensions      388—391
Distance formula for line-world      380
Distance formula for six dimensions      521
Distance formula for three dimensions      387—388 390
Distance formula for two dimensions      386—387 390
Distance from earth to moon      63 702
Distance from earth to sun      71 104 250
Distance of target      663
Distance of vision      47 6 479 486—490
Distance to island universe      71
Distance, result of motion      621 625 635
Distance, shortest      583—608
Division in various systems of numeration      23—24 30
Division of approximate numbers      110
Division of fractions      709
Division of polynomials      707
Division of signed numbers      706
Division, restoration of missing numerals      146
Earth, diameter      104
Electron, weight      179 181
Electrons, number in the universe      73
Elevation above ground      489—490
Elevation of gun, angle      669—676
ellipse      406—411 515 518
Ellipse, drawing of      410
Ellipse, equation of      406—409
Ellipse, foci      411
Ellipse, relation to circle      411 515 518
Ellipsoid, equation of four-dimensional      413
Ellipsoid, equation of three-dimensional      413
English system of measures, lengths      68
Equation of a curve, method of writing      394—396 407—409 414-417
Equations      186—220 718—727
Equations in one unknown      186—193 195 201- 208 218—220 718—722
Equations in two unknowns      193—194 722—724
Equations, fractional      196—198
Equations, quadratic      674—675 724—727
Event, coordinates of      612
Exponents, laws      173—177 266—269 712- 713
Exponents, method of writing numbers      66—67
Extraction of roots      218—221 282 385- 386 711 714—715
Extraction of roots, approximate method      218—221
Extraction of roots, concept of square roots      385—386
Eyesight, measure of      475
Faces, four-dimensional cube (cuboid)      562
Faces, in five-dimensional cube      562
Faces, square      561
Faces, three-dimensional cube      561
Fahrenheit      138 158—160 320—324
Finger counting      113
Finger multiplication      114—116
Five-system of numeration      9—10 18 25
Fladand, description of      371—372 380- 383
Fladand, properties of      380—383 389—390
Forge      629 634—635 684 696—697
Forge of collision      696—697
Forge, centrifugal      629 684
Formula, circumference of circle      459
Formula, elevation above ground      489
Formula, guessing ages and numbers      155 157
Formula, horizon distance      483
Formula, instalments and interest      238 240
Formula, sum of arithmetic progression      235 716
Formula, sum of geometric progression      254 716
Formula, sum of interior angles of a polygon      514 515
Formulas for areas circle      534
Formulas for areas, parallelogram      528
Formulas for areas, rectangle      528
Formulas for areas, rhombus      733
Formulas for areas, square      528
Formulas for areas, trapezoid      531
Formulas for areas, trapezoidal rule      535
Formulas for areas, triangle      528
Formulas for volumes, circular cone      552
Formulas for volumes, cube      543
Formulas for volumes, prism      544 545
Formulas for volumes, pyramid      552
Formulas for volumes, rectangular prism      542—543
Formulas for volumes, right circular cylinder      545
Formulas for volumes, right elliptical cylinder      546
Formulas for volumes, sphere      547
Formulas for volumes, trapezoidal rule      543
Four dimensions      389
Fractions in the twelve-system      33
Fractions in various systems of numeration      29
Fractions, addition      708
Fractions, division      709
Fractions, fundamental property      708
Fractions, multiplication      709
Fractions, subtraction      708
Future, representation of      613
Galileo      633
Galileo, law of falling bodies      633 651 659
Generation of one-dimensional world      522
Generation of three-dimensional world      523 538
Generation of two-dimensional world      522
Generator of a cone      601
Generator of a cylinder      594
Geodesics      585—608
Geometric progression      246—263 716
Geometric progression any term      253 716
Geometric progression, sum of      254 716
Geometric progression, sum of decreasing terms      255—260 716
Geometry, coordinate, plane      365—376 378—380 386—387 392—411 413-419
Geometry, plane      420—430 456—460 468 493-537
Geometry, solid      538—563 585—608
Googol      73—75 401
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