Graduate Studies in Mathematics最新文献

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Ultrafilters Throughout Mathematics 贯穿数学的超滤
Graduate Studies in Mathematics Pub Date : 2022-06-13 DOI: 10.1090/gsm/220
Isaac Goldbring
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引用次数: 8
Essentials of Tropical Combinatorics 热带组合学要点
Graduate Studies in Mathematics Pub Date : 2021-12-08 DOI: 10.1090/gsm/219
M. Joswig
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引用次数: 69
Differential Equations 微分方程
Graduate Studies in Mathematics Pub Date : 2021-12-07 DOI: 10.1090/gsm/212
M. Viana, J. Espinar
{"title":"Differential Equations","authors":"M. Viana, J. Espinar","doi":"10.1090/gsm/212","DOIUrl":"https://doi.org/10.1090/gsm/212","url":null,"abstract":"This and the next three chapters are resources, designed to get the neophyte started, to recall and extend the skills of the initiated, and to call the expert’s attention to the relative importance of what is already known. In this chapter we first introduce and motivate the notation that we use throughout the book, and specifically the operator notation Dx for the derivative of a function x . That is, we view a derivative as a transformation of a function into a new function whose value at any location t is the slope of x at that point. Differential equations are divided into various classes, and we first describe the autonomous/forced dichotomy defined by whether or not the system has an external or exogenous input. Then we consider linear versus nonlinear systems, a distinction that is already familiar to statistical readers in regression analysis. The data are assumed to be distributed over the whole interval of observation, and to be subject to measurement error to other types of random disturbances. This contrasts with the errorless initial and boundary value data configurations that apply to so many models.","PeriodicalId":140374,"journal":{"name":"Graduate Studies in Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132495147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Concise Introduction to Algebraic Varieties 代数变种简论
Graduate Studies in Mathematics Pub Date : 2021-12-02 DOI: 10.1090/gsm/216
Brian Osserman
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引用次数: 1
Lectures on Poisson Geometry 泊松几何讲座
Graduate Studies in Mathematics Pub Date : 2021-09-14 DOI: 10.1090/gsm/217
M. Crainic, R. Fernandes, I. Marcut
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引用次数: 40
Hamilton–Jacobi Equations
Graduate Studies in Mathematics Pub Date : 2021-08-16 DOI: 10.1090/gsm/213
H. Tran
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引用次数: 13
Notations 符号
Graduate Studies in Mathematics Pub Date : 2021-08-16 DOI: 10.1090/gsm/213/09
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引用次数: 0
Solutions to some exercises 一些练习的解决方法
Graduate Studies in Mathematics Pub Date : 2021-08-16 DOI: 10.1007/978-3-7908-1887-1_19
E. Gruenwald
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引用次数: 0
Constant curvature 常曲率
Graduate Studies in Mathematics Pub Date : 2020-10-21 DOI: 10.1090/gsm/208/04
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引用次数: 1
Topological surfaces 拓扑表面
Graduate Studies in Mathematics Pub Date : 2020-10-21 DOI: 10.1090/gsm/208/01
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引用次数: 1
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