The Big Ideas Math: Modeling Real Life Student Edition features several components to help position students for success and keep them on the right track for mathematical proficiency. The Big Ideas Math Student Edition provides students with learning targets and success criteria at the chapter and lesson level to make learning visible. Diverse opportunities to develop problem-solving and communication skills through deductive reasoning and exploration are also prominent throughout the text. Students gain a deeper understanding of math concepts by narrowing their focus to fewer topics at each grade level. Students master content through inductive reasoning opportunities, engaging activities that provide deeper understanding, concise, stepped-out examples, rich, thought-provoking exercises, and building connections to previous skills for coherence.
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Anbieter: World of Books (was SecondSale), Montgomery, IL, USA
Paperback. Zustand: Good. This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck theorem. One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections. Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian.Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck is an important contribution to both the geometric and analytic study of complex manifolds and, as such, it will be a valuable resource formany researchers in geometry, analysis, and mathematical physics. Artikel-Nr. 00109096465
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