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標(biāo)題: Titlebook: Calculus off the Beaten Path; A Journey Through It Ignacio Zalduendo Textbook 2022 The Editor(s) (if applicable) and The Author(s), under e [打印本頁]

作者: 召集會議    時間: 2025-3-21 19:43
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作者: 說笑    時間: 2025-3-22 05:54
Neural Text-to-Speech Synthesisto calculate it. In a few pages we will go down that path. But before that, I would like to stop and tell you about some of the notions of integral and to show you some of the difficulties implicit in the subject (which we will avoid!).
作者: Receive    時間: 2025-3-22 11:37
Textbook 2022orty years of experience in teaching the subject at universities around the world. In this book, Dr. Zalduendo makes use of the history of mathematics and a friendly, conversational approach to attract the attention of the student, emphasizing what is more conceptually relevant and putting key notio
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https://doi.org/10.1007/978-981-99-0827-1e first two questions give us the area of squares of sides two or three. The answer to the more abstract question allows us to know the area of any square. This is infinitely more useful. Abstraction is what confers usefulness to mathematics.
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作者: SPER    時間: 2025-3-23 11:33
The Gamma Function, it is easy to see that . Γ(0) is not defined, but we may use the equality . to define Γ in the interval (?1, 0), and then in (?2, ?1), (?3, ?2)…Thus, we consider Γ defined on all real numbers except {0, ?1, ?2, ?3, …}. One value of Γ which is easy to calculate is . (see the Exercises).
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More Derivatives,xample, it may happen that . exists but may not be differentiable, in which case .″ does not exist. In this chapter we will suppose that our functions are infinitely differentiable, in other words, ., .″, ….., …, exist. But now what we want to ask ourselves is: what meaning does .″ have for our func
作者: 火海    時間: 2025-3-24 09:29
More Integrals,n and without the area which they wanted to calculate. In the XVIIth Century Bonavantura Cavalieri (1598–1647) had an idea that was strongly criticized at the time: he considered an area as a “sum of lines” and a volume as a “sum of areas.”
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作者: 考得    時間: 2025-3-24 17:52
https://doi.org/10.1007/978-3-031-15765-3one-variable calculus; real functions; limits; derivatives; integrals; Riemann‘s rearrangement theorem; Py
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Calculus off the Beaten Path978-3-031-15765-3Series ISSN 1615-2085 Series E-ISSN 2197-4144
作者: agitate    時間: 2025-3-25 03:54

作者: 大約冬季    時間: 2025-3-25 07:43
Neural Text-to-Speech SynthesisWe all have an intuitive idea of what . is, but to talk about Calculus we need to make precise some of the line’s properties and we need to assign numbers to the points of this line. This will not be easy, for the usual sets of numbers (natural, integer, and rational numbers) will not be enough to cover the line that our intuition conceives.
作者: 和音    時間: 2025-3-25 13:34
Neural Text-to-Speech SynthesisThe idea of derivative appears in the XVIIth Century in the work of Pierre de Fermat and others, in general in relation to questions like: How do the values of a function . vary close to a given point? The central problem is then, to study . near a given value of the variable.
作者: 衰弱的心    時間: 2025-3-25 17:36
https://doi.org/10.1007/978-981-99-0827-1The Arithmetic-Geometric inequality (or AG inequality) is one of the simplest and most useful inequalities, as well as the source of many other important variations. We have seen among the exercises of Chap. . that it can be used to solve some optimization problems without the use of differentiation.
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作者: 令人苦惱    時間: 2025-3-26 03:38
The Derivative,The idea of derivative appears in the XVIIth Century in the work of Pierre de Fermat and others, in general in relation to questions like: How do the values of a function . vary close to a given point? The central problem is then, to study . near a given value of the variable.
作者: 樣式    時間: 2025-3-26 07:44
Convexity and the Isoperimetric Inequality,The Arithmetic-Geometric inequality (or AG inequality) is one of the simplest and most useful inequalities, as well as the source of many other important variations. We have seen among the exercises of Chap. . that it can be used to solve some optimization problems without the use of differentiation.
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作者: 緯度    時間: 2025-3-26 14:54
Neural Text-to-Speech Synthesis of surface area, for example, square meters or square feet, do not fit well on such surfaces and this makes comparison difficult. However, Greek mathematicians invented methods to calculate exactly areas and volumes of a wide range of geometric figures. As we have seen in Chap. ., Antiphon, Eudoxus
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作者: 污穢    時間: 2025-3-26 23:05
Neural Text-to-Speech Synthesisn and without the area which they wanted to calculate. In the XVIIth Century Bonavantura Cavalieri (1598–1647) had an idea that was strongly criticized at the time: he considered an area as a “sum of lines” and a volume as a “sum of areas.”
作者: HATCH    時間: 2025-3-27 02:30

作者: AVOID    時間: 2025-3-27 09:09
Ignacio ZalduendoProvides a gentle overview of fundamental concepts of one-variable calculus.Explores more than just core topics, touching on relevant subjects from a historical perspective.Reflects the author‘s 40 ye
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