this book is an outgrowth and a considerable expansion of lectures given at Brandeis University in 1967-1968 and at Rice University in 1968-1969. The first four chapters are an attempt to survey in detail some recent developments in four somewhat different areas, of mathematics: geometry (manifolds and vector bundles), algebraic topology, differential geometry, and partial differential equations. In these chapters, I have developed various tools that are useful in the study of compact complex manifolds. My motivation for the choice of topics developed was governed mainly by the applications anticipated in the last two chapters. Two principal topics developed include Hodge's theory of harmonic integrals and Kodaira's characterization of projective algebraic manifolds.
本産品為英文版。
發表於2024-12-27
復流形上的微分分析 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 復流形 復幾何 分析 復分析7 GTM CV Analysis
最適中的一本書。我就是看這本書懂的復流形。老師說,看不懂這本書,就不必做數學瞭。
評分很中庸的一本書。先講瞭叢,層的上同調和擬微分算子,然後介紹瞭這些概念在緊復流形上的應用。整體上來說內容比較鬆散。
評分嚮量叢錶示底空間的幾何 而從函數推廣得到截麵 截麵局部就是嚮量值函數 整體是扭麯的嚮量值函數 零截麵就是函數像 ,嚮量從的同構類分類是通過到格拉斯曼同倫映射分類,空間到切空間到切叢到流形 嚮量叢和局部自由層同構
評分嚮量叢錶示底空間的幾何 而從函數推廣得到截麵 截麵局部就是嚮量值函數 整體是扭麯的嚮量值函數 零截麵就是函數像 ,嚮量從的同構類分類是通過到格拉斯曼同倫映射分類,空間到切空間到切叢到流形 嚮量叢和局部自由層同構
評分最適中的一本書。我就是看這本書懂的復流形。老師說,看不懂這本書,就不必做數學瞭。
復流形上的微分分析 2024 pdf epub mobi 電子書 下載