Авторизация
Поиск по указателям
Gullberg J. — Mathematics: from the birth of numbers
Обсудите книгу на научном форуме Нашли опечатку?
Название: Mathematics: from the birth of numbersАвтор: 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: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997Количество страниц: 1110Добавлена в каталог: 22.11.2014Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
792 774 793 54 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, 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
Реклама
, power series expansion 
, power series expansion 
, properties 
, 
|
|
О проекте