arXiv: History and Overview最新文献

{"title":"Distinguished graduates in mathematics of Jagiellonian University in the interwar period. Part II: 1928-1939","authors":"Stanisław Domoradzki, Małgorzata Stawiska","doi":"10.4467/2353737XCT.15.209.4414","DOIUrl":"https://doi.org/10.4467/2353737XCT.15.209.4414","url":null,"abstract":"In this study, we present profiles of some distinguished graduates in mathematics of the Jagiellonian University from the years 1918-1939. We discuss their professional paths and scholarly achievements, instances of scientific collaboration, connections with other academic centers in Poland and worldwide, involvement in mathematical education and teacher training, as well as their later roles in Polish scientific and academic life. We also try to understand in what way they were shaped by their studies and how much of Krak'ow scientific traditions they continued. We find strong support for the claim that there was a distinct, diverse and deep mathematical stream in Krak'ow between the wars, rooted in classical disciplines like differential equations and geometry, but also open to new trends in mathematics. Part I concerns the graduates before the university reform, in 1918-1926.","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121872113","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}

{"title":"Aperiodic Order and Spectral Properties","authors":"M. Baake, D. Damanik, U. Grimm","doi":"10.14760/SNAP-2017-003-EN","DOIUrl":"https://doi.org/10.14760/SNAP-2017-003-EN","url":null,"abstract":"This article presents a very gentle introduction to the field of aperiodic order, aimed at a general audience. It is intended to provide a \"Snapshot of Modern Mathematics\" relating to the Oberwolfach mini-workshop \"Dynamical versus Diffraction Spectra in the Theory of Quasicrystals\" in November/December 2014.","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125943930","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}

{"title":"Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz","authors":"Nicola Oswald, J. Steuding","doi":"10.1007/978-3-319-28203-9_20","DOIUrl":"https://doi.org/10.1007/978-3-319-28203-9_20","url":null,"abstract":"","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127357763","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}

{"title":"Mathematics and Language","authors":"J. Avigad","doi":"10.1007/978-3-319-21473-3_12","DOIUrl":"https://doi.org/10.1007/978-3-319-21473-3_12","url":null,"abstract":"","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129255412","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}

{"title":"An Elementary Proof That Symplectic Matrices Have Determinant One","authors":"Donsub Rim","doi":"10.37622/adsa/12.1.2017.15-20","DOIUrl":"https://doi.org/10.37622/adsa/12.1.2017.15-20","url":null,"abstract":"We give one more proof of the fact that symplectic matrices over real and complex fields have determinant one. While this has already been proved many times, there has been lasting interest in finding an elementary proof. Our result is restricted to the real and complex case due to its reliance on field-dependent spectral theory, however in this setting we obtain a proof which is more elementary in the sense that it is direct and requires only well-known facts. Finally, an explicit formula for the determinant of conjugate symplectic matrices in terms of its square subblocks is given.","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133647471","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}

{"title":"On known and less known relations of Leonhard Euler with Poland","authors":"R. Sznajder","doi":"10.13140/RG.2.1.3593.8720","DOIUrl":"https://doi.org/10.13140/RG.2.1.3593.8720","url":null,"abstract":"Leonhard Euler was working for the St. Petersburg Academy of Sciences (Russia) and Prussian Academy of Sciences during various periods of his life. It is not a popular knowledge about Euler's contacts with Polish scientists of his era and Poland in general. The aim of this work is to shed some light on this relationship--mainly with the researchers from the city of Gda'nsk (formerly Danzig). As a matter of fact, the famous K\"onigsberg Bridges Problem, arguably the beginning of the graph theory and topology, originated in Gda'nsk.","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127168593","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}

{"title":"I.M.Gelfand and his seminar -- a presence","authors":"A. Beilinson","doi":"10.1090/NOTI1337","DOIUrl":"https://doi.org/10.1090/NOTI1337","url":null,"abstract":"These are reminiscences of I.M.Gelfand's mathematical seminar of 1970s-1980s. The essay will appear in the March 2016 issue of Notices of the AMS.","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134353753","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}

{"title":"The Deeper Roles of Mathematics in Physical Laws","authors":"K. Knuth","doi":"10.1007/978-3-319-27495-9_7","DOIUrl":"https://doi.org/10.1007/978-3-319-27495-9_7","url":null,"abstract":"","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125364229","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}

{"title":"A Topological Approach to Creating Any Pulli Kolam, an Artform from South India","authors":"V. Gopalan, B. K. Vanleeuwen","doi":"10.5047/forma.2015.005","DOIUrl":"https://doi.org/10.5047/forma.2015.005","url":null,"abstract":"Pulli kolam is a ubiquitous art form drawn afresh every morning on the threshold of most homes in South India. It involves drawing a line looped around each dot of a collection of dots (pullis) placed on a plane in accordance with three mandatory rules, namely, all dots should be circumscribed, all line orbits should be closed, and two line segments cannot overlap over a finite length. The mathematical foundation for this art form has attracted attention over the years. In this work, we propose a simple 5-step method by which one can systematically draw all possible kolam sf or any number of dots N arranged in any spatial configuration on a surface. For a given N , there exist a set of parent kolams from which all other possible kolams can be derived. All parent kolams arising from different spatial arrangements of N dots can be classified into parent kolam types; within each type, all parents are topologically equivalent, or homotopic. The number of kolam sf or ag ivenN is shown to be infinite if only the three mandatory rules stated above are followed; it becomes finite as more optional rules and restrictions are imposed. This intuitive method can be mastered by anyone to create countless kolams with no prior knowledge or the need for a detailed mathematical understanding. It is also amenable to developing apps and educational games that introduce the concepts of symmetry and topology. Ke yw ords: Kolam, Art, South India, Topology, Homotopy 1. What is a Kolam? Figure 1 depicts an example of a kolam ,a nancient and still popular South Indian art form. This particular type of kolam is called the pulli kolam in Tamil, which consists of a series of dots (called pullis) placed on a surface, each of which is then circumscribed by lines that form closed orbits. It is a very common sight on the threshold of homes in the five southern states with a combined current population of ∼252 million. They are called by varied names in the respective regional languages of these states: kolam in Tamil spoken in Tamil Nadu, golam in Malayalam spoken in Kerela, rangole in Kannada spoken in Karnataka, and muggulu in Telugu spoken in Andhra Pradesh and Telangana. With every sunrise, women wash the floor in front of the houses, and using rice flour, place the dots and draw a kolam largely from memory. Learning how to draw kolams from an early age is an important aspect of growing up in southern India, especially for girls. As they continue to learn from other women in their family, the kolams become increasingly complex, with a larger number of dots and more intricate line orbits. Remembering the dot configurations and line orbits is a daily exercise in geometric thinking. The process is immensely pleasurable, especially when a kolam is successfully completed with no loose ends. While the conventional kolam si mpose several rules, here we begin with three simple rules in order to give ourselves greater room for discovery and creativity. Given an arbi","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"2012 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127411481","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}

{"title":"Georg Cantor from St. Petersburg. Childhood and history of the family. Archival research","authors":"G. Sinkevich","doi":"10.4467/0023589XKHNT.18.012.9465","DOIUrl":"https://doi.org/10.4467/0023589XKHNT.18.012.9465","url":null,"abstract":"Georg Cantor (1845-1918) was born, and spent the first 11 years of his life in St. Petersburg. The present lecture is devoted to his childhood and his family. Most of these documents were not available before and are now published for the first time.","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116950403","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}