Author: Victor Guillemin | Size: 1.36 MB | Format:PDF | Publisher: MIT OpenCourseWare | Year: 2005 | pages: 83
This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems. Some results and tools on deformation and uniformization of complex manifolds are also discussed.
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From the table of contents: Introduction; Addition of Coplanar Vectors; Products of Coplanar Vectors; Coaxial Quaternions; Addition of Vectors in Space; Product of Two Vectors; Product of Three Vectors; Composition of Quantities; Spherical Trigonometry; Composition of Rotations.
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Why the Boundary of a Round Drop Becomes a Curve of Order Four
Author: A. N. Varchenko, P. I. Etingof | Size: 4.57 MB | Format:PDF | Publisher: American Mathematical Society | Year: 1992 | pages: 76 | ISBN: 0821870025
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution. This text discusses this topic and other recent work in the theory of fluid flows with a moving boundary.
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Dear members...
where I can find ACI code base on SI units? all handbook I have base on Imperical units.
and can you give me suggestion Reinforced Concrete books base on SI units???
Author: Maximilian Kreuzer | Size: 503 KB | Format:PDF | Publisher: Technische Universitat Wien | Year: 2010 | pages: 69
From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.
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This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology.
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This is an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol. 2. After discussing (and proving) some of the fundamental results of contact topology (neighbourhood theorems, isotopy extension theorems, approximation theorems), I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
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Author: Alfred Baker | Size: 9.9 MB | Format:PDF | Publisher: W. J. Gage | Year: 1905 | pages: 234 | ISBN: 1151882178
The principles of Analytical Geometry are developed in the first two chapters of this book. The remainder of the book is occupied in applying the principles and methods of Analytical Geometry to the straight line, circle, parabola, etc.
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These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists. We illustrate applications to Yang-Mills, fermionic and gravity models, notably we describe the spectral action recently introduced by Chamseddine and Connes. We also present an introduction to recent work on noncommutative lattices.
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The following course is intended to give, in as simple a way as possible, the essentials of synthetic projective geometry. Enough examples have been provided to give the student a clear grasp of the theory. The student should have a thorough grounding in ordinary elementary geometry.
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