Introduction to Superanalysis

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1. Grassmann Algebra. - 2. Superanalysis. - 3. Linear Algebra in Z2-Graded Spaces. - 4. Supermanifolds in General. - 5. Lie Superalgebras. - 1. Lie Superalgebras. - 2. Lie Supergroups. - 3. Laplace-Casimir Operators (General Theory). - 4. Radial Parts of the Laplace Operators on the Lie Supergrouups U(p, q) and C(m, n). - 5. Construction of Representations of Lie Supergroups U(p, q) and C(m, n). - Appendix 1. Particle Spin Dynamics as the Grassmann Variant of Classical Mechanics. - Appendix 2. Supersymmetry and Supergravity by V. I. Ogievetsky. - Supplement. List of F. A. Berezin s Published Works.