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Titlebook: A Concise Introduction to Analysis; Daniel W. Stroock Textbook 2015 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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发表于 2025-3-21 19:43:01 | 显示全部楼层 |阅读模式
期刊全称A Concise Introduction to Analysis
影响因子2023Daniel W. Stroock
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发行地址Unique owing to its conciseness and brevity of the subject matter.Contains topics unusual in other texts at this level, such as the proof of the prime number theorem.Covers polar coordinates and the d
图书封面Titlebook: A Concise Introduction to Analysis;  Daniel W. Stroock Textbook 2015 The Editor(s) (if applicable) and The Author(s), under exclusive licen
影响因子This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini‘s theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy‘s formula, which is then applied to prove some of the basic properties of analytic functions..Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy‘s integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text..A Concise Introduction to Analysis. should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible
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Elements of Complex Analysis,ecies are all heterotrophs that prey on cyanobacteria. Here, we review the evolutionary process that led to this second instance of primary endosymbiosis based on recent studies that include biodiversity surveys and plastid and nuclear genome data. Draft genome data from heterotrophic . using the si
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Integration,ta of all metabolites), became available at least in model organisms. These advances enabled studies on biologically interesting phenomena by wisely combining all these “omics” data, not only in model organisms but also in non-model organisms. Comparative genomics is a new technique that the progres
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Higher Dimensions,yer is locally and/or transiently interrupted are usually associated with pathological processes (e.g., Refs. 16,17,52,54,77,86,92). The elucidation of the molecular organization of the “endothelial junction” is crucial to our understanding of the structures and molecules involved in the intercellul
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Integration in Higher Dimensions,atients with periarteritis nodosa.. Tumor formation as a result of viral infection is another possible mechanisms by which viruses may induce vascular disease as is the case with cytomegalovirus and Kaposi’s sarcoma.. At the time our laboratory began investigating the . interaction between virus and
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A Little Bit of Analytic Function Theory,ous to endothelium-dependent regulation of vascular tone. In bioassay studies using cultured ventricular endocardial endothelial cells and isolated papillary muscle preparations, Shah and colleagues (Smith et al. 1991) demonstrated that these effects were mediated by the release of diffusible factor
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l to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible978-3-319-24467-9978-3-319-24469-3
发表于 2025-3-23 04:35:25 | 显示全部楼层
Textbook 2015e viewed as an integral part of the text..A Concise Introduction to Analysis. should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible
发表于 2025-3-23 06:56:34 | 显示全部楼层
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