Titlebook: Linearity, Symmetry, and Prediction in the Hydrogen Atom; Stephanie Frank Singer Textbook 2005 Springer-Verlag New York 2005 Abstract alge

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0172-6056 emistry curious about the mathematics behind some tools they use, such as spherical harmonics. Because the readership is so varied, no single reader should be put off by occasional digressions aimed at certain 978-1-4419-2035-5978-0-387-26369-4Series ISSN 0172-6056 Series E-ISSN 2197-5604

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on of this piston withdrawal problem is presented in Appendix A and the numerical results are compared with the method of characteristics in the case where the expansion fan reflects at an end wall. Numerical results arising from an analysis of the shock tube are also presented and further numerical

Brain-Waves

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o see that singularities are interesting and can be handled by human beings. This bookis a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, so

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o see that singularities are interesting and can be handled by human beings. This bookis a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, so

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thout singularities. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting a

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the first part of the book the authors develop the relevant techniques, including the Weierstra? preparation theorem, the finite coherence theorem etc., and then treat isolated hypersurface singularities, notably the finite determinacy, classification of simple singularities and topological and anal