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Mathematical No/ex, 27Originally published in 1981.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Riemannian manifolds. --- Minimal surfaces. --- Surfaces, Minimal --- Maxima and minima --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics) --- Differential geometry. Global analysis --- Addition. --- Analytic function. --- Branch point. --- Calculation. --- Cartesian coordinate system. --- Closed geodesic. --- Codimension. --- Coefficient. --- Compactness theorem. --- Compass-and-straightedge construction. --- Continuous function. --- Corollary. --- Counterexample. --- Covering space. --- Curvature. --- Curve. --- Decomposition theorem. --- Derivative. --- Differentiable manifold. --- Differential geometry. --- Disjoint union. --- Equation. --- Essential singularity. --- Estimation. --- Euclidean space. --- Existence theorem. --- Existential quantification. --- First variation. --- Flat topology. --- Fundamental group. --- Geometric measure theory. --- Great circle. --- Homology (mathematics). --- Homotopy group. --- Homotopy. --- Hyperbolic function. --- Hypersurface. --- Integer. --- Line–line intersection. --- Manifold. --- Measure (mathematics). --- Minimal surface. --- Monograph. --- Natural number. --- Open set. --- Parameter. --- Partition of unity. --- Pointwise. --- Quantity. --- Regularity theorem. --- Riemann surface. --- Riemannian manifold. --- Scalar curvature. --- Scientific notation. --- Second fundamental form. --- Sectional curvature. --- Sequence. --- Sign (mathematics). --- Simply connected space. --- Smoothness. --- Sobolev inequality. --- Solid torus. --- Subgroup. --- Submanifold. --- Summation. --- Theorem. --- Topology. --- Two-dimensional space. --- Unit sphere. --- Upper and lower bounds. --- Varifold. --- Weak topology.

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The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV, will be forthcoming.

Nonlinear oscillations. --- Algebraic curve. --- Analytic continuation. --- Analytic function. --- Asymptotic analysis. --- Banach space. --- Big O notation. --- Boundary value problem. --- Calculation. --- Canonical transformation. --- Cartesian coordinate system. --- Change of variables. --- Characteristic exponent. --- Coefficient. --- Computation. --- Conic section. --- Continuous function. --- Convex set. --- Counterexample. --- Curvature. --- Curve. --- Degrees of freedom (statistics). --- Derivative. --- Diagram (category theory). --- Differentiable function. --- Differential equation. --- Dimension. --- Dimensional analysis. --- Division by zero. --- Eigenvalues and eigenvectors. --- Elementary proof. --- Equation. --- Essential singularity. --- Existence theorem. --- Existential quantification. --- Exterior (topology). --- Fixed-point theorem. --- Forcing (mathematics). --- Forcing (recursion theory). --- Function space. --- Functional equation. --- Hamiltonian system. --- Hyperplane. --- Inflection point. --- Initial condition. --- Initial value problem. --- Integral equation. --- Inverse function. --- Iteration. --- Lagrangian mechanics. --- Lefschetz fixed-point theorem. --- Limit cycle. --- Limit of a sequence. --- Limit point. --- Limit set. --- Line segment. --- Linearity. --- Line–line intersection. --- Lipschitz continuity. --- Lyapunov stability. --- Mathematical optimization. --- Mathematics. --- Monotonic function. --- Newton polygon. --- Nonlinear system. --- Orbital stability. --- Ordinary differential equation. --- Ordinate. --- Parameter. --- Parametrization. --- Parity (mathematics). --- Partial derivative. --- Periodic function. --- Periodic point. --- Perturbation theory (quantum mechanics). --- Phase space. --- Power series. --- Principal part. --- Proportionality (mathematics). --- Quadratic. --- Real variable. --- Scalar (physics). --- Scientific notation. --- Sign (mathematics). --- Significant figures. --- Solomon Lefschetz. --- Special case. --- Sturm–Liouville theory. --- Subset. --- Surface of revolution. --- Theorem. --- Theory. --- Three-dimensional space (mathematics). --- Transversal (geometry). --- Unification (computer science). --- Upper half-plane. --- Variable (mathematics). --- Variational method (quantum mechanics). --- Vector field. --- Vector notation. --- Zero of a function.