跳到内容
Mathematics of the 19th century : geometry, analytic function theory 预览资料
关闭预览资料
正在查...

Mathematics of the 19th century : geometry, analytic function theory

著者: A N Kolmogorov; A P I︠U︡shkevich
出版商: Basel ; Boston : Birkhäuser Verlag, ©1996.
版本/格式:   图书 : 英语查看所有的版本和格式
数据库:WorldCat
提要:

Presents a study of the history of mathematics in the nineteenth century. This book describes the development of geometry. It discusses analytic function theory, and shows how the work of  再读一些...

评估:

(尚未评估) 0 附有评论 - 争取成为第一个。

主题
更多类似这样的

 

在图书馆查找

&AllPage.SpinnerRetrieving; 正在查找有这资料的图书馆...

详细书目

类型/形式: History
文件类型:
所有的著者/提供者: A N Kolmogorov; A P I︠U︡shkevich
ISBN: 0817650482 9780817650483 3764350482 9783764350482
OCLC号码: 33970112
描述: x, 291 p. : ill. ; 24 cm.
内容: 1. Geometry.- 1. Analytic and Differential Geometry.- Analytic Geometry.- The Differential Geometry of Monge's Students.- Gauss' Disquisitiones generales circa superficies curvas.- Minding and the Formulation of the Problems of Intrinsic Geometry.- The French School of Differential Geometry.- Differential Geometry at Midcentury.- Differential Geometry in Russia.- The Theory of Linear Congruences.- 2. Projective Geometry.- The Rise of Projective Geometry.- Poncelet's Traite des proprietes projectives des figures.- The Analytic Projective Geometry of Mobius and Plucker.- The Synthetic Projective Geometry of Steiner and Chasles.- Staudt and the Foundation of Projective Geometry.- Cayley's Projective Geometry.- 3. Algebraic Geometry and Geometric Algebra.- Algebraic Curves.- Algebraic Surfaces.- Geometric Computations Connected with Algebraic Geometry.- Grassmann's Lineale Ausdehnungslehre.- Hamilton's Vectors.- 4. Non-Euclidean Geometry.- Nikola? Ivanovich Lobachevski? and the Discovery of Non-Euclidean Geometry.- Gauss' Research in Non-Euclidean Geometry.- Janos Bolyai.- Hyperbolic Geometry.- J. Boyai's "Absolute Geometry".- The Consistency of Hyperbolic Geometry.- Propagation of the Ideas of Hyperbolic Geometry.- Beltrami's Interpretation.- Cayley's Interpretation.- Klein's Interpretation.- Elliptic Geometry.- 5. Multi-Dimensional Geometry.- Jacobi's Formulas for Multi-dimensional Geometry.- Cayley's Analytic Geometry of n Dimensions.- Grassmann's Multi-dimensional Geometry.- Plucker's Neue. Geometrie des Raumes.- Schlafli's Theorie der vielfachen Kontinuilat.- The Multi-dimensional Geometry of Klein and Jordan.- Riemannian Geometry.- Riemann's Idea of Complex Parameters of Euclidean Motions.- Riemann's Ideas on Physical Space.- The Work of Christoffel, Lipschitz. and Suvorov on Riemannian Geometry.- The Multi-dimensional Theory of Curves.- Multi-dimensional Surface Theory.- Multi-dimensional Projective Geometry.- The Terminology of Multi-dimensional Geometry.- 6. Topology.- Gauss' Topology.- Generalizations of Euler's Theorem on Polyhedra in the Early Nineteenth Century.- Listing's Vorstudien zur Topologie.- Mobius' "Theorie der elementaren Verwandschaft".- The Topology of Surfaces in Riemann's "Theorie der Abel'schen Funktionen".- The Multi-dimensional Topology of Riemann and Betti.- Jordan's Topological Theorems.- The "Klein Bottle".- 7. Geometric Transformations.- Geometrie Transformations in the Work of Mobius.- Helmholtz' Paper "Uber die Thatsachen, die der Geometrie zu Grunde liegen".- Klein's "Erlanger Programm".- Transference Principles.- Cremona Transformations.- Conclusion.- 2. Analytic Function.- Results Achieved in Analytic Function Theory in the Eighteenth Century.- Development of the Concept of a Complex Number.- Complex Integration.- The Cauchy Integral Theorem. Residues.- Elliptic Functions in the Work of Gauss.- Hypergeometric Functions.- The First Approach to Modular Functions.- Power Series. The Method of Majorants.- Elliptic Functions in the Work of Abel.- C.G.J. Jacobi. Fundamenta nova functionum ellipticarum.- The Jacobi Theta Functions.- Elliptic Functions in the Work of Eisenstein and Liouville. The First Textbooks.- Abelian Integrals. Abel's Theorem.- Quadruply Periodic Functions.- Summary of the Development of Analytic Function Theory over the First Half of the Nineteenth Century.- V. Puiseux. Algebraic Functions.- Bernhard Riemann.- Riemann's Doctoral Dissertation. The Dirichlet Principle.- Conformal Mappings.- Karl Weierstrass.- Analytic Function Theory in Russia. Yu.V. Sokhotski? and the Sokhotski?-Casorati-Weierstrass Theorem.- Entire and Meromorphic Functions. Picard's Theorem.- Abelian Functions.- Abelian Functions (Continuation).- Automorphic Functions. Uniformization.- Sequences and Series of Analytic Functions.- Conclusion.- Literature.- (F. A. Medvedev).- General Works.- Collected Works and Other Original Sources.- Auxiliary Literature to Chapter 1.- Auxiliary Literature to Chapter 2.- Index of Names (A. F. Lapko).
其他题名: Matematika XIX veka.
Mathematics of the nineteenth century
责任: edited by A.N. Kolmogorov, A.P. Yushkevich ; translated from the Russian by Roger Cooke.
更多信息:

评论

用户提供的评论
正在获取GoodReads评论...
正在检索DOGObooks的评论

标签

争取是第一个!
确认申请

你可能已经申请过这份资料。如果还是想申请,请选确认。

链接数据


<http://www.worldcat.org/oclc/33970112>
library:oclcnum"33970112"
library:placeOfPublication
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/33970112>
rdf:typeschema:Book
rdfs:seeAlso
schema:about
schema:about
rdf:typeschema:Intangible
schema:name"algèbre géométrique."
schema:about
rdf:typeschema:Intangible
schema:name"historique mathématique."
schema:about
rdf:typeschema:Intangible
schema:name"Fonctions analytiques--19e siècle."
schema:about
rdf:typeschema:Intangible
schema:name"Geschichte (1801-1900)"
schema:about
rdf:typeschema:Intangible
schema:name"Mathématiques--Histoire."
schema:about
schema:about
rdf:typeschema:Intangible
schema:name"géométrie algébrique."
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
rdf:typeschema:Intangible
schema:name"géométrie projective."
schema:about
rdf:typeschema:Intangible
schema:name"géométrie non euclidienne."
schema:about
rdf:typeschema:Intangible
schema:name"géométrie différentielle."
schema:about
rdf:typeschema:Intangible
schema:name"géométrie analytique."
schema:about
rdf:typeschema:Intangible
schema:name"Géométrie--19e siècle."
schema:about
rdf:typeschema:Intangible
schema:name"Geschichte (1800-1900)"
schema:about
schema:contributor
schema:contributor
schema:copyrightYear"1996"
schema:datePublished"1996"
schema:exampleOfWork<http://worldcat.org/entity/work/id/366764909>
schema:genre"History."
schema:inLanguage"en"
schema:name"Mathematics of the 19th century : geometry, analytic function theory"
schema:numberOfPages"291"
schema:publisher
schema:workExample
schema:workExample
schema:workExample
schema:workExample

Content-negotiable representations

关闭窗口

请登入WorldCat 

没有张号吗?很容易就可以 建立免费的账号.