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A classical topology course connecting geometric constructions with algebraic invariants. Compare conventions with a contemporary homology course.
A classical topology course connecting geometric constructions with algebraic invariants. Compare conventions with a contemporary homology course.
Studies discrepancy and distribution phenomena. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies discrepancy and distribution phenomena. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Relates complex geometry and analytic vanishing methods. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Relates complex geometry and analytic vanishing methods. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Links Lie-group structure with representation theory on locally compact groups. Develop integration and topological-group foundations before the specialized arguments.
Links Lie-group structure with representation theory on locally compact groups. Develop integration and topological-group foundations before the specialized arguments.
Introduces hypersurface flow, noncollapsing estimates, weak solutions and surgery in the mean-convex setting.
Introduces hypersurface flow, noncollapsing estimates, weak solutions and surgery in the mean-convex setting.
Studies surface-flow singularities, weak continuation and uniqueness, with a section of open problems. Distinct from the earlier hypersurface/surgery course.
Studies surface-flow singularities, weak continuation and uniqueness, with a section of open problems. Distinct from the earlier hypersurface/surgery course.
Studies translation and approximation structures in harmonic analysis. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies translation and approximation structures in harmonic analysis. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
A substantial specialist reference on zeta-function mean values. Read after Dirichlet series, analytic continuation and asymptotic methods.
A substantial specialist reference on zeta-function mean values. Read after Dirichlet series, analytic continuation and asymptotic methods.
A classical development of measure-based probability. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
A classical development of measure-based probability. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops value-distribution techniques for meromorphic functions. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops value-distribution techniques for meromorphic functions. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops classical birational geometry of surfaces. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops classical birational geometry of surfaces. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
A four-lecture course on variation, minimal surfaces in two dimensions, curvature estimates and least-area existence and regularity.
A four-lecture course on variation, minimal surfaces in two dimensions, curvature estimates and least-area existence and regularity.
Studies mixed PDE problems through operator methods. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies mixed PDE problems through operator methods. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies correspondences in modular function theory. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies correspondences in modular function theory. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops classical modular function theory. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops classical modular function theory. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
A course devoted to constructions in the moduli theory of curves. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
A course devoted to constructions in the moduli theory of curves. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies nonlinear wave phenomena and shock formation. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Studies nonlinear wave phenomena and shock formation. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops variational formulations and computational methods for nonlinear problems. An applied specialization requiring analytic foundations.
Develops variational formulations and computational methods for nonlinear problems. An applied specialization requiring analytic foundations.
An applied computational route to bifurcation, complementing analytic dynamics. Numerical results require attention to approximation and stability.
An applied computational route to bifurcation, complementing analytic dynamics. Numerical results require attention to approximation and stability.
Explains Giroux’s correspondence between contact structures and open books and develops applications to fillings and low-dimensional topology.
Explains Giroux’s correspondence between contact structures and open books and develops applications to fillings and low-dimensional topology.
Connects variational analysis and optimization with algorithms. This is an applied branch of functional analysis, not a general Banach-space textbook.
Connects variational analysis and optimization with algorithms. This is an applied branch of functional analysis, not a general Banach-space textbook.
Introduces Fourier-analytic techniques for PDE. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Introduces Fourier-analytic techniques for PDE. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
A bridge from general topology into polyhedra and geometric topology. Use after basic compactness and quotient-space constructions.
A bridge from general topology into polyhedra and geometric topology. Use after basic compactness and quotient-space constructions.
Treats classical harmonic and potential-theoretic constructions. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Treats classical harmonic and potential-theoretic constructions. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops lattices and quadratic-form arithmetic. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.
Develops lattices and quadratic-form arithmetic. Historical notation may differ from current treatments. Individual-use access only; do not redistribute.