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標(biāo)題: Titlebook: Mathematics: A Concise History and Philosophy; W. S. Anglin Textbook 1994 Springer Science+Business Media New York 1994 Algebra.Cantor.Fin [打印本頁(yè)]

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作者: FLOAT    時(shí)間: 2025-3-21 21:02
0172-6056 mathemat- ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac- quire a philosophical and cultural u
作者: TATE    時(shí)間: 2025-3-22 04:12
The Earliest Number Theory,ablets of the Sumerians and Babylonians. Most of these achievements go back as far as 2000 B.C. — about the time when Abraham’s father was living in the Sumerian city of Ur. We shall use the word ‘Babylonian’ for what is perhaps more accurately described as ‘Mesopotamian’ mathematics.
作者: Pcos971    時(shí)間: 2025-3-22 08:06
The Pythagoreans,Babylonians had a well-worked-out theory of ‘Pythagorean triangles’, and Pythagoras would have learnt this from them. Pythagoras may have discovered the first proof of the ‘theorem of Pythagoras’, but he certainly did not discover the theorem itself.
作者: NIB    時(shí)間: 2025-3-22 10:52
Textbook 1994 ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac- quire a philosophical and cultural understandi
作者: habitat    時(shí)間: 2025-3-22 14:17

作者: Introduction    時(shí)間: 2025-3-22 17:54

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作者: Mere僅僅    時(shí)間: 2025-3-23 02:18

作者: CLAY    時(shí)間: 2025-3-23 07:05
The Need for the Infinite,In opposition to Anaximander, Parmenides of Elea, Italy (480 B.C.) was a monist. That is, he held that the universe consists of only one object. The number of things that exists is just one.
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Early Medieval Number Theory,Sun Tsu (400 A.D.) was one of the first mathematicians to work on the ‘Chinese Remainder Problem’. He gave a way of calculating the solutions to the following problem:
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https://doi.org/10.1007/978-1-4612-0875-4Algebra; Cantor; Finite; Gottfried Wilhelm Leibniz; Middle Ages; Plato; Problem-solving; calculus; eighteent
作者: CRP743    時(shí)間: 2025-3-25 10:24
Mathematics for Civil Servants,, however, believed that geometry was created because the annual flooding of the Nile necessitated surveying, to redetermine land boundaries. Indeed, Democritus called the Egyptian mathematicians ‘ropestretchers’.
作者: 禍害隱伏    時(shí)間: 2025-3-25 11:46
The Dawn of Deductive Mathematics,st. The first Greek mathematician and philosopher was Thales of Miletus, a contemporary of the prophet Ezekiel (600 B.C.). (Miletus was on the southwestern coast of Turkey.) According to Proclus, Thales visited Egypt and learned geometry there. Thales predicted the solar eclipse that occurred over Greece and Mesopotamia on May 28, 585 BC.
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作者: 愛(ài)管閑事    時(shí)間: 2025-3-26 05:59
The Earliest Number Theory,lture reached its peak about 575 B.C., under Nebuchadnezzar. The mathematical achievements we shall discuss in this chapter are recorded on the clay tablets of the Sumerians and Babylonians. Most of these achievements go back as far as 2000 B.C. — about the time when Abraham’s father was living in t
作者: 種子    時(shí)間: 2025-3-26 10:21

作者: 媒介    時(shí)間: 2025-3-26 14:49
The Pythagoreans,ius, Pythagoras studied under the Babylonians, and he may have met the prophet Daniel in Babylon. Prom the clay tablet Plimpton 322, we know that the Babylonians had a well-worked-out theory of ‘Pythagorean triangles’, and Pythagoras would have learnt this from them. Pythagoras may have discovered t
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作者: 我的巨大    時(shí)間: 2025-3-27 20:20
W. S. Anglinroduction, or neural networks of music perception. This volume gives an overview about present and past research in these fields. In Musical Acoustics, on the one hand the nonlinearities in musical instruments often produce the musically interesting features. On the other, musical instruments are no
作者: Friction    時(shí)間: 2025-3-28 01:03
W. S. Anglinroduction, or neural networks of music perception. This volume gives an overview about present and past research in these fields. In Musical Acoustics, on the one hand the nonlinearities in musical instruments often produce the musically interesting features. On the other, musical instruments are no
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作者: AWRY    時(shí)間: 2025-3-28 17:43
W. S. Anglineas of the phase space) are imposed. It is hoped that by the influence of this element, the system can be calmed and its behaviour can be optimised. In what follows below, we consider a simple noisy nonlinear economics model that self-organises towards criticality. We demonstrate that the inherent e
作者: 冷淡一切    時(shí)間: 2025-3-28 20:45

作者: 著名    時(shí)間: 2025-3-29 01:25
W. S. Anglineater explanatory power with respect to the traditional assumption that dynamics are stochastic and shocks are exogenous.? ..The first part of this work is formal-methodological and provides the mathematical background needed for the remainder, while the second part presents the view that signal pro
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作者: 頭腦冷靜    時(shí)間: 2025-3-29 17:14
W. S. Anglinnovative new concepts, also for optical nanodevices.Both a r.Optical information processing of the future is associated with a new generation of compact nanoscale optical devices operating entirely with light. Moreover, adaptive features such as self-guiding, reconfiguration and switching become mor
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作者: 規(guī)范要多    時(shí)間: 2025-3-30 02:19
W. S. Anglinnovative new concepts, also for optical nanodevices.Both a r.Optical information processing of the future is associated with a new generation of compact nanoscale optical devices operating entirely with light. Moreover, adaptive features such as self-guiding, reconfiguration and switching become mor
作者: 改良    時(shí)間: 2025-3-30 06:41
W. S. Anglinnovative new concepts, also for optical nanodevices.Both a r.Optical information processing of the future is associated with a new generation of compact nanoscale optical devices operating entirely with light. Moreover, adaptive features such as self-guiding, reconfiguration and switching become mor
作者: 易怒    時(shí)間: 2025-3-30 11:38
W. S. Anglinnovative new concepts, also for optical nanodevices.Both a r.Optical information processing of the future is associated with a new generation of compact nanoscale optical devices operating entirely with light. Moreover, adaptive features such as self-guiding, reconfiguration and switching become mor
作者: Verify    時(shí)間: 2025-3-30 15:36
W. S. Anglinnovative new concepts, also for optical nanodevices.Both a r.Optical information processing of the future is associated with a new generation of compact nanoscale optical devices operating entirely with light. Moreover, adaptive features such as self-guiding, reconfiguration and switching become mor
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作者: Visual-Field    時(shí)間: 2025-3-31 03:20
W. S. Anglinchology, nonlinearities are present in all areas of musical features, like pitch, timbre, or rhythm perception. In terms of rhythm production and motion, self-organizing models are the only ones able to explain sudden phase-transitions while tapping. Self-organizing neural nets, both of the Kohonen
作者: 周年紀(jì)念日    時(shí)間: 2025-3-31 08:40

作者: FIG    時(shí)間: 2025-3-31 09:47
W. S. Anglinchology, nonlinearities are present in all areas of musical features, like pitch, timbre, or rhythm perception. In terms of rhythm production and motion, self-organizing models are the only ones able to explain sudden phase-transitions while tapping. Self-organizing neural nets, both of the Kohonen
作者: Thyroxine    時(shí)間: 2025-3-31 13:36
W. S. Anglinnd. Here it is not resulting in a ’spitting’ but in the typical violin scratching sound... Same as Sound 7 using a 600 Hz periodicity and a different impulse pattern... Same as Sound 7 using a 1000 Hz periodicity and again a different impulse pattern.
作者: 統(tǒng)治人類(lèi)    時(shí)間: 2025-3-31 20:18
W. S. Anglinrder to control on period-one cycles, generally strong interventions are required. In democratic countries, a transparent control policy would therefore be an indispensable for its implementation. The discussed framework may prove helpful for this purpose.
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作者: 吹氣    時(shí)間: 2025-4-1 11:14
W. S. Anglines exist, (2) discover some hidden features of economic dynamics, and (3)highlight specific indicators of structural changes in time series. Accordingly, it is a must read for everyone interested in a better understanding of economic dynamics, business cycles, econometrics and complex systems, as we
作者: LINE    時(shí)間: 2025-4-1 16:26
Textbook 1994ts and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical




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