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Gullberg J. — Mathematics: from the birth of numbers
Gullberg J. — Mathematics: from the birth of numbers



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Название: Mathematics: from the birth of numbers

Автор: Gullberg J.

Аннотация:

A gently guided, profusely illustrated Grand Tour of the world of mathematics. This extraordinary work takes the reader on a long and fascinating journey — from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology. Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings. Over 1000 technical illustrations and cartoons and drawings


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 1110

Добавлена в каталог: 22.11.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Numeration system/systems, Akkadian      36
Numeration system/systems, Arabic      48
Numeration system/systems, Arabic, ancient      36
Numeration system/systems, Attic      36
Numeration system/systems, Aztec      60
Numeration system/systems, binary      62
Numeration system/systems, duodecimal      61
Numeration system/systems, Egyptian      34
Numeration system/systems, Greek      36
Numeration system/systems, Hebrew, ancient      36
Numeration system/systems, Herodianic      36
Numeration system/systems, hexadecimal      64
Numeration system/systems, Hindu-Arabic      48
Numeration system/systems, Ionic      36
Numeration system/systems, Mayan      58
Numeration system/systems, octal      64
Numeration system/systems, Roman      39
Numeration system/systems, sexagesimal      56
Numeration system/systems, Sumerian      35
Numeration system/systems, vigesimal      58
Numerator      74
Numerical integration      947
NUNES, P.      596
NUNEZ SALACIENCE, P.      596
Oblate ellipsoid      405
Oblique, cone      402
Oblique, cylinder      401
Oblique, prism      400
Oblong numbers      291
Obtuse, angle      388
Obtuse, triangle      393
Octagon      392
octahedron      397 448
Octahedron, formulas      450
Octal      46
Octal numeration      64
Octenary      46
October      19
Odd functions, expansion      919
Odd-even identities      508
Odd/even functions      340
Old English number names      26
Old Norse number names      26
One-sided limits      358
One-sided surfaces      380
One-to-one functions      346
Op art      375
Open half-line      387
Open interval      111
Operational precedence      122
Operator      336
Opposite angles      389 426
Opposites, doctrine of      291
Optical art      375
Order, determinant      646
Order, differential equation      991
Order, matrix      640
Ordered components      241
Ordered sample      187
Ordinal numbers      5
Ordinary differential equations      991 994
Ordinary differential equations, first-order      994
Ordinary differential equations, second-order      1015
Ordinate      472 549
Origin      549
Origin, number line      71
Origin, vectors      602
Orthodrome      596
Orthogonal coordinate system      472 549
Orthogonal coordinate system, rotation      573
Orthogonal coordinate system, translation      572
Orthogonal matrix      657
Orthogonal trajectories      1012
Orthogonal/polar coordinate transformation      887
Oscillating motion      1008
oscillations      1008
Oscillations, damped      1009
Oscillations, forced      1010
Oscillations, harmonic      1008
Oscillations, undamped      1009
Osculation, point of      386
OTHO, V.      92 465
OUGHTRED, W.      104 109 110
OUGHTRED, W., slide rule      176
Outcomes, favorable/unfavorable      966
PACIOLI, L.      102 135 399 418
PAGANINI, N.      83
PAO CHHI-SHOU      214
PAPPUS (PAPPOS), history of calculus      674
PAPPUS (PAPPOS), history of geometry      366
PAPPUS (PAPPOS), Pappus’s and Guldin’s theorem      866 884
Papyri, Egyptian      98
Papyrus, Ahmes      98
Papyrus, Moscow      99
Papyrus, Rhind      98 297
parabola      406 562
Parabola, equations      563 568 589
Parabola, equations, parametric      589
Parabola, segment, area      442
Parabolic geometry      382
Parabolic spiral      581
Paraboloid      405
Paraboloid reflectors      432
Paradox, barber      236
Paradox, Cretian      219
Paradox, Epiminides’      219
Paradox, liar      219
Paradox, Russell’s      235
Parallel circles, torus      405
Parallel line/lines      387
Parallel line/lines, equations      555
Parallel line/lines, Euclidean construction      414
Parallel line/lines, postulate      381
Parallelepiped      400
Parallelepiped, volume      446
Parallelogram law, Vectors      603
Parallels of latitude      491
Parameter, elimination      597
Parametric equations      586
Parametric equations, arc length      832
Parametric equations, area, surface of revolution      864
Parentheses      122
Parker, E.T.      195
Parmenides      218
Partial differential equations      991
Partial differentiation      710
Partial fractions      130
Partial fractions, use of, integration      745
Partial sums      271
Particular solution, differential equations      993
PASCAL, B., combinatorics      184
PASCAL, B., history of calculus      675
PASCAL, B., Pascal’s theorem      434
PASCAL, B., Pascal’s triangle      141
PASCAL, B., probability      963
Pascal’s theorem      434
Pascal’s triangle      140
Path, descent, most rapid      590
Paths, Euler      203
Paths, Hamilton      203
Peano axioms      157
Peano curve      635
PEANO, G., $\in$      233
PEANO, G., axioms      157
PEANO, G., Peano curve      635
Pearson, E.      965
Pearson, K.      964
Peet, T.E.      99
Pell number sequence      288
Pell, J.      288
Pendulum property      591
PENROSE, L.S.      374
Penrose, R.      374
Pentacle      420
Pentadecagon, regular, Euclidean construction      416
Pentagon      392
Pentagon regular, Euclidean construction      415
Pentagonal numbers      291
Pentagram/pentagrams      420
Pentagram/pentagrams, magic      213
Perfect numbers      82
Perimeter      390
Perimeter, snowflake curve      627
Periodic decimal fractions      76
Periphery, definition      390
permutations      188
Permutations, all elements distinct      189
Permutations, cyclic      192
Permutations, identical elements      193
Perpendicular line/lines      387
Perpendicular line/lines, equations      555
Perpendicular line/lines, Euclidean construction      414
Perspective, focused      372
Peta      54
Phase, rhetorical      101
Phase, symbolic      101
Phase, syncopation      101
Phoenician alphabet      10
Phonetic alphabet      10
Pi, $\pi$      85 89 920
Pi, $\pi$, "Indiana"      95
Pi, $\pi$, "scriptural"      94
pico      54
PinT      409
PITISCUS, B.      458 459 465
Pivot, entry      662
Pivot, operation      662
Pivoting, matrix      662
Place-value notation      32
Planar      376
Plane angle, definition      388
Plane geometry, definition      376
Plane geometry, theorems      426
PLATO (PLATON), Achademya      364
PLATO (PLATON), calculus      674
PLATO (PLATON), PLATO of Tivoli      463
PLATO (PLATON), Platonic solids      398
Platonic solids      397 398
Plus symbol, Rhind Papyrus      99
Poincare, J.H.      158 369 382
POINCARE, J.H., calculus      682
Point-slope equation      553
Point/points, bifurcation      348
Point/points, cardinal      499
Point/points, concurrent, theorems      432
Point/points, critical      798 799 816
Point/points, decimal      75
Point/points, definitions      386
Point/points, inflection, functions      341
Point/points, of inflection, definition      388
Point/points, of osculation      386
Point/points, saddle      816
Point/points, salient      386
Point/points, stable (iteration of functions)      348
Point/points, stationary      798
Point/points, terminal vectors      602
Poisson, S.-D.      964 979
Polar angle      576
Polar coordinate system, arc length      835
Polar coordinate system, area      856
Polar coordinate system, plane      576
Polar coordinate system, space      582
Polar equations      578
Polar form, complex numbers      788
Polar grid      577
Pole, coordinate system      576
Polygon/polygons      392
Polygon/polygons, regular, Euclidean construction      415
Polygon/polygons, spherical      404
Polyhedron/polyhedra      396
Polyhedron/polyhedra, formula, Euler’s      448
Polyhedron/polyhedra, semi-regular      399
Polynomial/polynomials      128
Polynomial/polynomials, addition      129
Polynomial/polynomials, division      129
Polynomial/polynomials, equations      307
Polynomial/polynomials, functions      348
Polynomial/polynomials, multiplication      129
Polynomial/polynomials, prime      303
Polynomial/polynomials, root extraction      144
Polynomial/polynomials, subtraction      129
Poncelet, J.V.      367 434
Population growth      1000
POSITION      896
Position as electric charge      1011
Position, system, decimal      48
Position, vectors      608
positional notation      32 46
Postmultiplication      644
Postulate/postulates, definition      157
Postulate/postulates, Euclidean      381
Postulate/postulates, indefinite continuation of straight line      381
Postulate/postulates, non-Euclidean      381
Postulate/postulates, parallel      381
Pound, U.S., definition      52
Power series      765
Power series expansion, $e^{ix}$      792
Power series expansion, $e^{x}$      773
Power series expansion, binomial      775
Power series expansion, cosine of x      773
Power series expansion, integration by      746
Power series expansion, natural logarithms      773
Power series expansion, roots      776
Power series expansion, sine of x      771
Power series expansion, transcendental functions      771
Power series, convergence      766
Power sets      238
Power/powers      134
Power/powers, calculation rules      136
Power/powers, complex numbers      791
Power/powers, functions      350
Power/powers, functions, integrating      723
Power/powers, history      134
Power/powers, indeterminate      785
Power/powers, matrices      644
Power/powers, variable, derivative      689
Precedence, operational      122
Predicate logic      216
Preferred numbers      929
Premise      157
Premise, major      227
Premise, minor      227
Premultiplication      644
Prime/primes      77
Prime/primes, factor      303
Prime/primes, Mersenne      79
Prime/primes, number theorem      80 778
Prime/primes, numbers      77
Prime/primes, polynomial      303
Prime/primes, pseudo-      80
Prime/primes, testing method of Fermat      80
Primitive integral      722
Principal diagonal, determinant      646
Principal diagonal, matrix      641
Principal minor      648
Principal values, trigonometric functions      506
Principle of contradiction      216
Principle of detachment      223
Principle of excluded middle      216
Principle of identity      216
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