An Epsilon of Room, I: Real AnalysisAmerican Mathematical Soc., 2010 - 349 עמודים In 2007 Terry Tao began a mathematical blog to cover a variety of topics, ranging from his own research and other recent developments in mathematics, to lecture notes for his classes, to nontechnical puzzles and expository articles. The first two years of the blog have already been published by the American Mathematical Society. The posts from the third year are being published in two volumes. The present volume consists of a second course in real analysis, together with related material from the blog. |
מהדורות אחרות - הצג הכל
An Epsilon of Room, I: Real Analysis: pages from year three of a ... <span dir=ltr>Terence Tao</span> תצוגה מקדימה מוגבלת - 2022 |
מונחים וביטויים נפוצים
abelian analysis Banach space Borel bounded Cc(X claim follows closed sets compact Hausdorff space compact set compactification compactly supported complex conclude constant continuous functions continuous linear converges countable define dense disjoint dual equivalent Example Exercise exists formula Fourier transform function f function spaces generalised Haar measure Hahn-Banach theorem Hausdorff space Hilbert space Hint identity inequality inner product space instance integrable function interpolation intersection isomorphic LCA group Lebesgue measure limit linear functional locally compact Hausdorff Lp norm measure space metric space Minkowski dimension morphism non-empty non-negative non-trivial normed vector space open neighbourhood open sets operator norm pointwise Proof Radon measure Remark representation theorem S(Rd Schwartz function Section sequentially compact Show smooth Sobolev spaces subbase subset subspace test functions theory topological space topological vector space unique unsigned measure weak well-ordered sets zero Zorn’s lemma