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