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Science/Engineering Statistical Mechanics, Third Edition
Science/Engineering Essentials of Toxic Chemical Risk: Science and Society
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Science/Engineering Lernplattformen in Schulen: Ansätze für E-Learning und Blended Learning in Präsenzklassen (1 Auflage)
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Science/Engineering Testtheorie und Fragebogenkonstruktion (Springer-Lehrbuch)
Science/Engineering Centrifugal Pumps, 2nd Edition
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Science/Engineering Networks, Crowds, and Markets: Reasoning About a Highly Connected World {repost}
Science/Engineering Introduction to Biophotonics (repost)
Science/Engineering The Art and Science of Psychotherapy (repost)
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Science/Engineering Elementary Principles of Chemical Processes 3rd edition
Science/Engineering Boundary Element Analysis (repost)
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Science/Engineering A Practical Handbook of Preparative HPLC by Donald A. Wellings (Repost)
Science/Engineering Reviews of Environmental Contamination and Toxicology 184 by George W. Ware
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Science/Engineering Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
Posted on 2010-03-16
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More R.W. Sharpe, S.S. Chern, "Differential Geometry: Cartan's Generalization of Klein's Erlangen Program" This text presents the systematic and well motivated development of differential geometry leading to the global version of Cartan connections presented at a level accessible to a first year graduate student. The first four chapters provide a complete and economical development of the fundamentals of differential topology, foliations, Lie groups and homogeneous spaces. Chapter 5 studies Cartan geometries which generalize homogenous spaces in the same way that Riemannian geometry generalizes Euclidean geometry. One of the beautiful facets of Cartan Geometries is that curvature appears as an exact local measurement of "broken symmetry". The last three chapters study three examples: Riemannian geometry, conformal geometry and projective geometry. Some of the topics studied include: - a complete proof of the Lie group - Lie algebra correspondence - a classification of the Cartan space forms - a classification of submanifolds in conformal geometry - Cartan's "geometrization" of an ODE of the form y"=A(x,y)+B(x,y)y'+C(x,y)(y')^{2}+ D(x,y)(y')^{3} Topics included in the five appendices are a comparison of Cartan and Ehresmann connections, and the derivation of the divergence and curl operators from symmetry considerations. Only ONE (1) RS mirror, please thanks. RS: "
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