文档介绍:This Page Intentionally Left BlankTHEORY OF CATEGORIES This Page Intentionally Left BlankPure and Applied Mathematics A Series of Monographs and Textbooks Editors Samuel Ellenberg and Hymen Eass Columbia University, New York RECENT TITLES SAMUEL EILENBERG. Automata, Languages, and Machines: Volumes A and B MORRIS HIRSCH AND STEPHEN SMALE. Differential Equations, Dynamical Systems, and Linear Algebra WILHELM MAGNUS. Noneuclidean Tesselations and Their Groups FRANCOIS TREVES. Basic Linear Partial Differential Equations WILLIAM M. BOOTHBY. An Introduction to Differentiable Manifolds and Riemannian Geometry ~AYTON GRAY. Homotopy Theory : An Introduction to Algebraic Topology ROBERT A. ADAMS. Sobolev Spaces JOHN J. BENEDETTO. Spectral Synthesis D. V. WIDDER. The Heat Equation IRVING EZRA S~CAL. Mathematical Cosmology and Extragalactic Astronomy J. DIEUDONN~. Treatise on Analysis : Volume 11, enlarged and corrected printing; Volume IV ; Volume V ; Volume VI, in preparation WERNER Gmua, STEPHEN HALPERIN, AND RAY VANSTONE. Connections, Curvature, and Cohomology : Volume 111, Cohoniology of Principal Bundles and Homogeneous Spaces I. MARTIN ISAACS. Character Theory of Finite Groups JAMES R. BROWN. Ergodic Theory and Topological Dynamics C. TRUESDELL. A First Course in Rational Continuum Mechanics: Volume 1, General Concepts E GRATZER. General Lattice Theory K. D. STROYAN AND W. A. J. LUXEMBURG. Introduction to the Theory of Infinitesimals B. M. PUTTASWAMAIAH AND JOHN D. DIXON. Modular Representations of Finite Groups MmwN BERGER. Nonlinearity and Functional Analysis : Lectures on Nonlinear Problems in Mathematical Analysis CHARALAMBOS D. ALIPRANTIS AND OWEN BURKINSHAW. Locally Solid Riesz Spaces In preparation JAN MIKUSINSKI. The Bochner Integral MICHIEL HAZEWINKEL. Formal Groups and Applications THOMAS JECH. Set Theory SIGURDUR HELGASON. Differential Geometry, Lie Groups, and Symmetric Spaces CARL L. DEVITO. Functional Analysis This Page Intentionally Left Blank