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The present volume reflects both the diversity of Bochner's pursuits in pure mathematics and the influence his example and thought have had upon contemporary researchers.Originally published in 1971.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.

Mathematical analysis --- -Advanced calculus --- Analysis (Mathematics) --- Algebra --- Addresses, essays, lectures --- Mathematical analysis. --- -517.1 Mathematical analysis --- -Addresses, essays, lectures --- 517.1 Mathematical analysis --- 517.1. --- Approximation theory. --- System analysis. --- 517.1 --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Absolute continuity. --- Analytic continuation. --- Analytic function. --- Asymptotic expansion. --- Automorphism. --- Banach algebra. --- Banach space. --- Bessel function. --- Big O notation. --- Bounded operator. --- Branch point. --- Cauchy's integral formula. --- Cauchy's integral theorem. --- Characterization (mathematics). --- Cohomology. --- Commutative property. --- Compact operator. --- Compact space. --- Complex analysis. --- Complex number. --- Complex plane. --- Continuous function (set theory). --- Continuous function. --- Convolution. --- Coset. --- Covariance operator. --- Differentiable function. --- Differentiable manifold. --- Differential form. --- Dimension (vector space). --- Discrete group. --- Dominated convergence theorem. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Equation. --- Equivalence class. --- Even and odd functions. --- Existential quantification. --- First variation. --- Formal power series. --- Fréchet derivative. --- Fubini's theorem. --- Function space. --- Functional analysis. --- Fundamental group. --- Green's function. --- Haar measure. --- Hermite polynomials. --- Hermitian symmetric space. --- Holomorphic function. --- Hyperbolic partial differential equation. --- Infimum and supremum. --- Infinite product. --- Integral equation. --- Lebesgue measure. --- Lie algebra. --- Lie group. --- Linear map. --- Markov chain. --- Meromorphic function. --- Metric space. --- Monotonic function. --- Natural number. --- Norm (mathematics). --- Normal subgroup. --- Null set. --- Partition of unity. --- Pointwise. --- Polynomial. --- Power series. --- Pseudogroup. --- Riemann surface. --- Riemannian manifold. --- Schrödinger equation. --- Self-adjoint operator. --- Self-adjoint. --- Semigroup. --- Semisimple algebra. --- Sesquilinear form. --- Sign (mathematics). --- Singular perturbation. --- Special case. --- Spectral theory. --- Stokes' theorem. --- Subgroup. --- Submanifold. --- Subset. --- Support (mathematics). --- Symplectic geometry. --- Symplectic manifold. --- Theorem. --- Uniform convergence. --- Unitary operator. --- Unitary representation. --- Upper and lower bounds. --- Vector bundle. --- Vector field. --- Volterra's function. --- Weierstrass theorem. --- Zorn's lemma.