![]() 作者:季理真/Frans Oort/丘成桐 出版社: 高等教育出版社 出版年: 2015-12-1 页数: 754 定价: 168元 装帧: 精装 ISBN: 9787040318753 内容简介 · · · · · ·黎曼(1826-1866)对数学有着独特的创造力和广博的洞察力,同时对数学的处理富有强有力的技巧和远见的思想。在他短暂的一生中,黎曼对数学几乎所有的分支都有着广泛的影响。 时至150年后的今日,我们仍然要尝试理解在数学后续发展中的黎曼的工作以及他的数学思想。 《黎曼的学术遗产:150年巡礼(英文版)》邀请了一批具有前沿思想的专家撰写了相关的综述和展望性质的文章,希望这些专题也会是黎曼所感兴趣的。 在《黎曼的学术遗产:150年巡礼(英文版)》中,讨论了若干历史细节,并且着重介绍了黎曼所开创的数学领域的现代发展。 《黎曼的学术遗产:150年巡礼(英文版)》对于希望了解黎曼深邃的数学思想及其对现代数学影响的读者具有重要的参考价值。 目录 · · · · · ·What One Should Know About RiemanBut May Not Know?Riemann's Influence iGeometry, Analysis and Number Theory Riemann-s Saddle-point Method and the Riemann-Siegel Formula The Period Matrices and Theta Functions of Riemann Riemann's Hypothesis Extensioof Holomorphic Functions Defined oNoReduced · · · · · ·() What One Should Know About RiemanBut May Not Know? Riemann's Influence iGeometry, Analysis and Number Theory Riemann-s Saddle-point Method and the Riemann-Siegel Formula The Period Matrices and Theta Functions of Riemann Riemann's Hypothesis Extensioof Holomorphic Functions Defined oNoReduced Analytic Subvarieties Bundles with Extra Geometric or Dynamic Structure The Theory of Shock Waves: From Riemanthrough Today Riemann's Existence Theorem The Historical Roots of the Concept of RiemanSurfaces The Story of Riemann's Moduli Space Riemanand the ModerConcept of Space Survey oAnalytic and Topological Torsion The RiemanMinimal Examples Manifolds of Mappings and Shapes The RiemanHypothesis over Finite Fields: From Weil to the Present Day The Riemann-Hurwitz Formula Early History of the RiemanHypothesis iPositive Characteristic Riemann's Influence iNumber Theory from a Computational and Experimental Perspective RiemanProblem and Shock Capturing Schemes A Discourse othe Measurable RiemanMapping Theorem & Incompressible Fluid Motion The Mertens Conjecture Hodge Structures, Coniveau and Algebraic Cycles · · · · · · () |
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