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
Vertex/vertices, cones402 Vertex/vertices, ellipse390 Vertex/vertices, graphs, network202 Vertical angles389 Vertical angles, theorem426 VESALIUS, A.96 Vibrationssee "Oscillations" Vicenary46 VIETE (VIETA), F., 9293 VIETE (VIETA), F., equations299316 VIETE (VIETA), F., law of cosines483 VIETE (VIETA), F., powers134 Vigesimal numeration4658 Vinogradov, I.M.81 Vinogradov’s theorem81 VLACQ, A., logarithms152 VLACQ, A., multiplication sign104 VLACQ, A., radical sign135 VOEGELIN, J.425 Volume, elementary geometry446 Volume, ellipsoid of revolution876 Volume, generated by area bounded by two curves880 Volume, methods of calculus871 Volume, shell method877 Volume, solids, known cross section885 Volume, torus884 Volume, translation of axes882 Volume, units, measurements409 von KOCH, N.H.F.627 von LEIBNIZ, G.W., 93 von LEIBNIZ, G.W., binary numeration62 von LEIBNIZ, G.W., brachistochrone problem590 von LEIBNIZ, G.W., combinatorics184 von LEIBNIZ, G.W., derivative, notation of686 von LEIBNIZ, G.W., determinants639 von LEIBNIZ, G.W., functions336 von LEIBNIZ, G.W., fundamental theorem of calculus748 von LEIBNIZ, G.W., history of calculus676 von LEIBNIZ, G.W., history of geometry369 von LEIBNIZ, G.W., integral, notation of722 von LEIBNIZ, G.W., lingua universalis216 von LEIBNIZ, G.W., logic reasoning, use of diagrams242 von LEIBNIZ, G.W., mathematical logic216217 von LEIBNIZ, G.W., multiplication sign104 von LEIBNIZ, G.W., negative distance, concept of548 von LEIBNIZ, G.W., negative numbers73 von LINDEMANN, F.86 von Linne, C.5 von Neumann, J.218301965968
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