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Titlebook: Elementary Analysis; The Theory of Calcul Kenneth A. Ross Textbook 2013Latest edition Springer Science+Business Media, LLC, part of Springe

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发表于 2025-3-21 16:56:33 | 显示全部楼层 |阅读模式
书目名称Elementary Analysis
副标题The Theory of Calcul
编辑Kenneth A. Ross
视频video
概述Revised and updated second edition with new material.Text for a transition course between calculus and more advanced analysis courses.Contains new material on topics such as irrationality of pi, the B
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Elementary Analysis; The Theory of Calcul Kenneth A. Ross Textbook 2013Latest edition Springer Science+Business Media, LLC, part of Springe
描述.For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs.  Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus.  Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging..The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs.  New topics include material on the irrationality of pi, the Baire category theorem, Newton‘s method and the secant method, and continuous nowhere-differentiable functions..
出版日期Textbook 2013Latest edition
关键词Bolzano-Weierstrass theorem; L‘Hospital‘s rule; Riemann integral; Riemann-Stieltjes integral; Taylor‘s t
版次2
doihttps://doi.org/10.1007/978-1-4614-6271-2
isbn_softcover978-1-4939-0128-9
isbn_ebook978-1-4614-6271-2Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2013
The information of publication is updating

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发表于 2025-3-21 21:14:34 | 显示全部楼层
Elementary Analysis978-1-4614-6271-2Series ISSN 0172-6056 Series E-ISSN 2197-5604
发表于 2025-3-22 00:40:26 | 显示全部楼层
https://doi.org/10.1007/978-90-313-7580-6e properties will serve as our axioms in the sense that it is possible to derive all the properties of the real numbers using only these axioms. However, we will avoid getting bogged down in this endeavor. Some readers may wish to refer to the appendix on set notation.
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Wat betekent astma voor de omgeving?,A. is a function whose domain is a set of the form.;. is usually 1 or 0. Thus a sequence is a function that has a specified value for each integer. ≥ .. It is customary to denote a sequence by a letter such as. and to denote its value at. as.. rather than.(.). It is often convenient to write the sequence as (..).. or.
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Wat is de oorzaak van autisme?,Most of the calculus involves the study of continuous functions. In this chapter we study continuous and uniformly continuous functions.
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https://doi.org/10.1007/978-90-313-8717-5In this chapter we give a theoretical treatment of differentiation and related concepts, most or all of which will be familiar from the standard calculus course. Three of the most useful results are the Mean Value Theorem which is treated in §29, L’Hospital’s Rule which is treated in §30, and Taylor’s Theorem which is given in §31.
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