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Prospects in Mathematics. (AM-70), Volume 70

John Milnor, Lars Hörmander, Jean-Pierre Serre, et al.

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

Five papers by distinguished American and European mathematicians describe some current trends in mathematics in the perspective of the recent past and in terms of expectations for the future. Among the subjects discussed are algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations.

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Schlagwörter

Theorem, Parametrix, Riemann–Roch theorem, Hardy space, Vector bundle, Mathematics, Maximal ideal, Partial differential equation, K-theory, Submanifold, Bernoulli number, Ellipse, Quadratic form, Dimension (vector space), Module (mathematics), Variable (mathematics), John Milnor, Polynomial, Existence theorem, Fourier, Bounded operator, Square-integrable function, Support (mathematics), Homotopy, Commutative property, Diffeomorphism, Hyperbolic partial differential equation, Pseudo-differential operator, Resolution of singularities, Special case, Atiyah–Singer index theorem, Projective space, Vector space, Surjective function, Isomorphism class, Poisson bracket, Number theory, Complex manifold, Integer, Principal part, Affine space, Canonical transformation, Fredholm operator, Dedekind sum, Differentiable manifold, Clifford algebra, Coefficient, Rational variety, C*-algebra, Parity (mathematics), Symmetric bilinear form, Diagram (category theory), Commutative ring, Algebraic geometry, Algebraic group, Hilbert space, Topology, Elliptic operator, Symplectic vector space, Differential operator, Integral transform, Euler number, Fourier transform, Open set, Fourier integral operator, Line bundle, Equation, Modular form, Degenerate bilinear form, Normal bundle