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Titlebook: Real Mathematical Analysis; Charles C. Pugh Textbook 2015Latest edition Springer Nature Switzerland AG 2015 Brouwer fixed point theorem.Le

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發(fā)表于 2025-3-21 17:43:55 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Real Mathematical Analysis
編輯Charles C. Pugh
視頻videohttp://file.papertrans.cn/823/822178/822178.mp4
概述Elucidates abstract concepts and salient points in proofs with over 150 detailed illustrations.Treats the rigorous foundations of both single and multivariable Calculus.Gives an intuitive presentation
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Real Mathematical Analysis; Charles C. Pugh Textbook 2015Latest edition Springer Nature Switzerland AG 2015 Brouwer fixed point theorem.Le
描述.Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. Over 150 detailed illustrations elucidate abstract concepts and salient points in proofs. The exposition is informal and relaxed, with many helpful asides, examples, some jokes, and occasional comments from mathematicians, such as Littlewood, Dieudonné, and Osserman. This book thus succeeds in being more comprehensive, more comprehensible, and more enjoyable, than standard introductions to analysis..New to the second edition of .Real Mathematical Analysis. is a presentation of Lebesgue integration done almost entirely using the undergraph approach of Burkill. Payoffs include: concise picture proofs of the Monotone and Dominated Convergence Theorems, a one-line/one-picture proof of Fubini‘s theorem fro
出版日期Textbook 2015Latest edition
關鍵詞Brouwer fixed point theorem; Lebesgue integral; Riemann integral; calculus; mathematical analysis; multiv
版次2
doihttps://doi.org/10.1007/978-3-319-17771-7
isbn_softcover978-3-319-33042-6
isbn_ebook978-3-319-17771-7Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Nature Switzerland AG 2015
The information of publication is updating

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發(fā)表于 2025-3-21 22:06:40 | 只看該作者
Charles C. Pughd to answering management questions regarding the implementation and post-auditing of the zero discharge and virtual elimination strategies for Tier I and Tier II toxic chemicals. The RAISON for Windows Decision support system, which was developed at the National Water Research Institute, Environmen
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Charles C. Pughities. Within this contribution an approach and an example for a regional eco-balance will be elucidated, related to the concept of environmental indicators of the advisory board of environmental affairs of the Federal Republic of Germany (SRU 1994). By taking on board the administration of the dist
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發(fā)表于 2025-3-22 14:23:17 | 只看該作者
Charles C. Pugh claimed that experts use two complex mental processes when interpreting such data, knowledge-based reasoning and pattern recognition. It is argued that existing classification methods are inadequate and that the application of advanced computer-based techniques is vital to the realisation of the fu
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發(fā)表于 2025-3-22 20:12:05 | 只看該作者
Charles C. Pughecology, economics and other related areas.Its practitioners must be prepared to work with many diverseprofessional groups. It forms the foundation for computer-assistedenvironmental protection. .This book contains an edited version of papers presented at the 3rdInternational Symposium on Environmen
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發(fā)表于 2025-3-22 23:26:40 | 只看該作者
ecology, economics and other related areas.Its practitioners must be prepared to work with many diverseprofessional groups. It forms the foundation for computer-assistedenvironmental protection. .This book contains an edited version of papers presented at the 3rdInternational Symposium on Environmen
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發(fā)表于 2025-3-23 07:08:30 | 只看該作者
procedure, is to encourage the selection of environmentally-friendly schemes at the expense of environmentally-damaging ones. The weights are obtained through previously mentioned EIA procedure, for which a FORTRAN code is developed. By using user’s own evaluations of environmental impacts, the mod
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