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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
$e^{ix}$, power series expansion      792
$e^{x}$, power series expansion      774
$i^{i}$, properties      793
${\AA}$      54
${\aa}ngstroem$, ${\AA}$      54
A, an, one, etymology of      27
abacus      168
Abel, N.H.      132 300 776
Abelian group      132
Abscissa      472 549
Absolute value/values      71
Absolute value/values, addition/subtraction, laws      133
Absolute value/values, division laws      133
Absolute value/values, equations      308
Absolute value/values, law      132
Absolute value/values, multiplication laws      133
Absolute, convergence      280
Absolute, error      161
Absolute, inequality      312
Absolute, maximum      341 804
Absolute, minimum      341 804
Absorption laws, Boolean algebra      254
Abstraction, geometric      370
Abundant numbers      82
Acceleration      897
Acceleration, average      897
Acceleration, free fall      611
Acceleration, instantaneous      897
Acceleration, integration      900
Acceleration, vectors      901
Accuracy      50 161
Achilles      275
Achilles and the tortoise      275
Acre      409
Acute, angle      388
Acute, triangle      393
ad-DIN, Naser      463
Addend      115
Addition, complex numbers      789
Addition, fractions      125
Addition, fundamental operations      115
Addition, matrices      642
Addition, parallelogram law      604
Addition, polynomials      129
Addition, symbols of      102
Addition, triangle law      604
Addition, vectors      603
Adelard of Bath      463
Adjacent angles      388
Adjoint matrix      658
Aggregation symbols      122
Agnesi, M.      680
Agrippa, C.      205
Ahmes papyrus      98
AHMES, the Scribe      98
Akkadian numeration      36
al-KASHANI, J.M.      91 238
al-KASHI, J.M.      91 320
Al-Khowarizmi      48 100 298
al-WAFA, Abu      463
ALBERTI, L.      367
Aleph-null      258
Ale’s Stones      468
Algebra, boolean      252
Algebra, coefficients      114
Algebra, constants      114
Algebra, definition      100 114
Algebra, fundamental theorem      299 305
Algebra, matrices      642
Algebra, sets      249
Algebra, transfinite numbers      261
Algebra, variables      114
Algebra, vectors      602
Algebraic expression      128
Algebraic functions      348
Algebraic numbers      84
Algebraic vector      641
Algorithm, Euclidean      126
Alphabet, Cyrillic      12
Alphabet, Etruscan      12
Alphabet, Greek      11
Alphabet, Latin      12
Alphabet, Phoenician      10
Alphabet, phonetic      10
Alphameric      54
alphanumeric      54
Alternate, exterior angles      389
Alternate, exterior angles, theorem      426
Alternate, interior angles      389
Alternate, interior angles, theorem      426
Alternating series, approximation of sum      283
Alternating series, convergence      280
Altitude      see "Height"
Ambiguous case      480
Amicable numbers      83
Amplitude, polar coordinate system      576
Analytic geometry      547
Analytic geometry, history      548
Angle/angles, 60°, Euclidean construction      415
Angle/angles, adjacent      388
Angle/angles, bisector, Euclidean construction      414
Angle/angles, central      429
Angle/angles, chord, circle      431
Angle/angles, chord/tangent, circle      431
Angle/angles, complementary, trigonometric functions      471
Angle/angles, definitions      388 389
Angle/angles, depression      494
Angle/angles, elevation      494
Angle/angles, equal, Euclidean construction      413
Angle/angles, orthogonal coordinate system      472
Angle/angles, peripheral      429
Angle/angles, plane, measurements      410
Angle/angles, polar, coordinate system      576
Angle/angles, reentrant      392
Angle/angles, rotation      592
Angle/angles, salient      392
Angle/angles, sight      494
Angle/angles, solid, measurements      410
Angle/angles, supplementary      388
Angle/angles, supplementary, trigonometric functions      474
Angle/angles, theorems      426
Angle/angles, triangle, external      428
Angle/angles, triangle, opposite      428
Angle/angles, trisection of      423
Angle/angles, vectorial      576
Angstroem, A.J.      54
Antecedent      110 222
Anti-commutative property, vector product      619
Anti-snowflake curve      629
Anti-square curve      629
Antiderivative      722
Apex, cones      402
APOLLONIOS, analytic geometry      548
APOLLONIOS, conic sections      408
APOLLONIOS, helix      795
APOLLONIOS, history of geometry      365
Appel, K.      204
Approximate integration      947
Approximate results      161
Approximate values, calculation with      162
Approximated values      161
Approximation, Fourier series      916
Approximation, methods of      923
Approximation, remainder of series      281
Approximation, sums of alternating series      281
Approximation, sums of series      281
Arabic, numerals      6
Arabic, numeration system      48
Arabic, numeration, ancient      36
Arbitrary constant, integration      722
ARBOGAST, L.-F.-A.      686 1016
Arc, circle      390
Arc, cosecant      477
Arc, cosine      477
Arc, cotangent      477
Arc, definition      387
Arc, length, circle      440
Arc, length, method of calculus      827
Arc, length, parametric form      832
Arc, length, polar coordinate system      835
Arc, network      202
Arc, secant      477
Arc, sine      477
Arc, tangent      477
ArcCos      477
Arccos, derivative      697
Arccosec      477
arccot      477
Arccot, derivative      697
arccsc      477
Arccsc, derivative      697
Arcctg      477
arch      539
ARCHIMEDES, $\pi$      90 479
ARCHIMEDES, analytic geometry      548
ARCHIMEDES, equations      316
Archimedes, fractions      38
ARCHIMEDES, history of calculus      674
ARCHIMEDES, history of geometry      365
ARCHIMEDES, large numbers      29
Archimedes, spiral      579
ARCHIMEDES, trisection of angle      424
Archytas      422
Arcosech      539
Arcosech, derivative      704
Arcosh      539
Arcosh, derivative      704
Arcoth      539
Arcoth, derivative      704
Arcsch      539
arcsec      477
Arcsec, derivative      697
arcsin      477
Arcsin, derivative      697
arctan      477
Arctan, derivative      697
Arcth      539
Arcus function      477
Area/areas, between two curves      853
Area/areas, circle      853
Area/areas, curvilinear figures      442
Area/areas, cyclic quadrilateral      445
Area/areas, definite integral      749
Area/areas, ellipse      852
Area/areas, methods of calculus      851
Area/areas, polar coordinates      856
Area/areas, quadrilateral      445
Area/areas, quadrilateral, cyclic      445
Area/areas, rectilinear figures      441
Area/areas, snowflake curve      627
Area/areas, surface of revolution      860
Area/areas, torus, surface      866
Area/areas, triangle      489 552 653
Area/areas, triangle, determinants      653
Area/areas, triangle, trigonometric method      489
Area/areas, units, measurements      409
Argand, J.R.      88 600
Argument      336 788
Argument, polar coordinate system      576
Aristarchus      462
Aristotelian logic      216
ARISTOTLE, history of geometry      365
Aristotle, logic      216
Arithmetic, definition      100 113
Arithmetic, four simple rules      113
Arithmetic, mean      975
Arithmetic, modular      123
Arithmetic, residue classes      123 137
Arithmetic, series, finite      266
Arm, moment      838
Armillary sphere      463
Arsech      539
Arsech, derivative      704
Arsh      539
Arsinh      539
Arsinh, derivative      704
Artanh      539
Artanh, derivative      704
Arth      539
ARYABATHA      91 460
AS      16
Associative laws      132 249 254
Associative laws, Boolean algebra      254
Associative laws, sets      249
Astroid      594
Astroid, equations, parametric      594
Astroid, perimeter      833
Attic numeration      36
Atto      54
Augmented matrix      662
Auxiliary equation      1018
Average      975
Average, acceleration      897
Average, value      751
Average, velocity      897
Axiom/axioms, definition      157
Axiom/axioms, Peano      157
Axis/axes, Earth      491
Axis/axes, ellipse      390
Axis/axes, imaginary, number plane      788
Axis/axes, polar      576
Axis/axes, real, number plane      788
Axis/axes, rotation      403
Axis/axes, solid of rotation      403
Azimuth      576
Aztec numeration      60
Babylonian sexagesimal system      56
BAILLY, J.S.      780
Barber paradox      236
BARROW, I., Euclid’s Elements      416
BARROW, I., history of calculus      675
Barycenter      838
Base/bases, cone      402
Base/bases, cylinder      401
Base/bases, hanging, logarithms      156
Base/bases, power      136
Base/bases, prism      400
Base/bases, trapezium      394
Base/bases, trapezoid      394
Base/bases, triangle      393
Basic integration formulas      724
Bearings      491 499
Bernoulli equation      998
BERNOULLI, Daniel, combinatorics      184
BERNOULLI, Daniel, harmonic analysis      909
BERNOULLI, Jakob, Bernoulli equation      998
BERNOULLI, Jakob, brachistochrone problem      590
BERNOULLI, Jakob, catenary      538
BERNOULLI, Jakob, history of calculus      679
BERNOULLI, Jakob, infinity symbol      30
BERNOULLI, Jakob, lemniscate      581
BERNOULLI, Jakob, logarithmic spiral      581
BERNOULLI, Jakob, probability      963
BERNOULLI, Johann, Bernoulli equation      998
BERNOULLI, Johann, brachistochrone      590
BERNOULLI, Johann, history of calculus      679
BERNOULLI, Johann, L’Hospital’s rule      782
BERNOULLI, Nikolaus, combinatorics      184
BERNOULLI, Nikolaus, infinity symbol      30
Betti, E.      369
1 2 3 4 5 6 7 8 9 10 11 12 13
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