Annals of Mathematics Studies

Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the 20th century. The series continues this tradition into the 21st century as Princeton looks forward to publishing the major works of the new millennium.

To mark the continued success of the series, all books are available again in paperback.

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• The Action Principle and Partial Differential Equations. (AM-146). D. Christodoulou.
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129). C. Bushnell and P.C. Kutzko.
• Advances in Game Theory. (AM-52). M. Dresher, L.S. Shapley, et al., eds.
• Advances in the Theory of Riemann Surfaces. (AM-66). L.V. Ahlfors and L. Bers.
• Algebraic Theory of Numbers. (AM-1). H. Weyl.
• Algebraic Topology and Algebraic K-Theory: Proceedings of a Symposium in Honor of John C. Moore. (AM-113). W. Browder, ed.
• The Ambient Metric (AM-178). C. Fefferman and C.R. Graham.
• Arithmetic Moduli of Elliptic Curves. (AM-108). N.M. Katz and B. Mazur.
• Automata Studies. (AM-34). C.E. Shannon and J. McCarthy, eds.
• Automorphic Forms on Adele Groups. (AM-83). S.S. Gelbart.
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123). J.D. Rogawski.
• Base Change for GL(2). (AM-96). R.P. Langlands.
• Beijing Lectures in Harmonic Analysis. (AM-112). E.M. Stein, ed.
• Braids, Links, and Mapping Class Groups. (AM-82). J.S. Birman.
• C*-Algebra Extensions and K-Homology. (AM-95). R.G. Douglas.
• The Calculi of Lambda Conversion. (AM-6). A. Church.
• Calculus on Heisenberg Manifolds. (AM-119). R. Beals and P.C. Greiner.
• Characteristic Classes. (AM-76). J. Milnor and J.D. Stasheff.
• Characters of Reductive Groups over a Finite Field. (AM-107). G. Lusztig.
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92). I. Madsen and R.J. Milgram.
• Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169). K. Kato and S. Usui.
• Cohomology Operations: Lectures by N.E. Steenrod. (AM-50). D.B.A. Epstein.
• Combinatorial Group Theory and Topology. (AM-111). S.M. Gersten and J.R. Stallings, eds.
• Combinatorics of Train Tracks. (AM-125). R.C. Penner and J.L. Harer.
• Commensurabilities among Lattices in PU (1,n). (AM-132). P. Deligne and G.D. Mostow.
• Complex Dynamics and Renormalization (AM-135). C.T. McMullen.
• Compositional Methods in Homotopy Groups of Spheres. (AM-49). H. Toda.
• Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176). B. Edixhoven and J. Couveignes, eds.
• Consistency of the Continuum Hypothesis. (AM-3). K. Gödel.
• Continuous Model Theory. (AM-58). C.C. Chang and H.J. Keisler.
• Contributions to Fourier Analysis. (AM-25). A. Zygmund and W. Transue.
• Contributions to the Theory of Games, Volume I. (AM-24). H.W. Kuhn and A.W. Tucker, eds.
• Contributions to the Theory of Games, Volume II. (AM-28). H.W. Kuhn and A.W. Tucker, eds.
• Contributions to the Theory of Games, Volume III. (AM-39). M. Dresher, A.W. Tucker, et al.
• Contributions to the Theory of Games, Volume IV. (AM-40). A.W. Tucker and R.D. Luce, eds.
• Contributions to the Theory of Nonlinear Oscillations, Volume I. (AM-20). S. Lefschetz.
• Contributions to the Theory of Nonlinear Oscillations, Volume II. (AM-29). S. Lefschetz.
• Contributions to the Theory of Nonlinear Oscillations, Volume III. (AM-36). S. Lefschetz.
• Contributions to the Theory of Nonlinear Oscillations, Volume IV. (AM-41). S. Lefschetz, ed.
• Contributions to the Theory of Nonlinear Oscillations, Volume V. (AM-45). L. Cesari, J. LaSalle, et al., eds.
• Contributions to the Theory of Partial Differential Equations. (AM-33). L. Bers, S. Bochner, et al.
• Contributions to the Theory of Riemann Surfaces. (AM-30). L.V. Ahlfors, E. Calabi, et al., eds.
• Convergence and Uniformity in Topology. (AM-2). J.W. Tukey.
• Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180). N.M. Katz.
• Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121). V. Guillemin.
• Curvature and Betti Numbers. (AM-32). S. Bochner and K. Yano.
• Cycles, Transfers, and Motivic Homology Theories. (AM-143). V. Voevodsky, A. Suslin, et al.
• The Decomposition of Global Conformal Invariants (AM-182). S. Alexakis.
• Degenerate Diffusion Operators Arising in Population Biology. C.L. Epstein and R. Mazzeo.
• Degree of Approximation by Polynomials in the Complex Domain. (AM-9). W.E. Sewell.
• Degrees of Unsolvability. (AM-55). G.E. Sacks.
• Differential Systems and Isometric Embeddings.(AM-114). P.A. Griffiths and G.R. Jensen.
• Discontinuous Groups and Riemann Surfaces: Proceedings of the 1973 Conference at the University of Maryland. (AM-79). L. Greenberg, ed.
• Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164). J. Baik, T. Kriecherbauer, et al.
• Discrete Series of GLn Over a Finite Field. (AM-81). G. Lusztig.
• Dynamics in One Complex Variable. (AM-160): Third Edition. (AM-160). J. Milnor.
• Elementary Differential Topology. (AM-54). J.R. Munkres and J.R. Munkres and
• Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85). P.A. Griffiths.
• The Equidistribution Theory of Holomorphic Curves. (AM-64). H. Wu.
• The Ergodic Theory of Lattice Subgroups (AM-172). A. Gorodnik and A. Nevo.
• Etale Homotopy of Simplicial Schemes. (AM-104). E.M. Friedlander.
• Euler Systems. (AM-147). K. Rubin.
• Existence Theorems in Partial Differential Equations. (AM-23). D.L. Bernstein.
• Exponential Sums and Differential Equations. (AM-124). N.M. Katz.
• An Extension of Casson's Invariant. (AM-126). K. Walker.
• Finite Dimensional Vector Spaces. (AM-7). P.R. Halmos.
• Finite Structures with Few Types. (AM-152). G. Cherlin and E. Hrushovski.
• Flows on Homogeneous Spaces. (AM-53). L. Auslander, F. Hahn, et al.
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88). R.C. Kirby and L.C. Siebenmann.
• Fourier Transforms. (AM-19). S. Bochner and K. Chandrasekharan.
• Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179). J. Lindenstrauss, D. Preiss, et al.
• Functional Integration and Partial Differential Equations. (AM-109). M.I. Freidlin.
• Functional Operators, Volume 1: Measures and Integrals. (AM-21). J. von Neumann.
• Functional Operators, Volume 2: The Geometry of Orthogonal Spaces. (AM-22). J. von Neumann.
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116). N.M. Katz.
• Generalized Feynman Amplitudes. (AM-62). E.R. Speer.
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). M. Harris and R. Taylor.
• Global Surgery Formula for the Casson-Walker Invariant. (AM-140). C. Lescop.
• Green's Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158). J. Bourgain.
• The Gross-Zagier Formula on Shimura Curves. X. Yuan, S. Zhang, et al.
• Harmonic Analysis in Phase Space. (AM-122). G.B. Folland.
• Harmonic Maps and Minimal Immersions with Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130). J. Eells and A. Ratto.
• Higher Topos Theory (AM-170). J. Lurie.
• Hyperfunctions on Hypo-Analytic Manifolds (AM-136). P. Cordaro and F. Treves.
• Hypoelliptic Laplacian and Orbital Integrals (AM-177). J. Bismut.
• The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167). J. Bismut and G. Lebeau.
• Infinite Loop Spaces: Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90). J.F. Adams.
• Integration of One-forms on P-adic Analytic Spaces. (AM-162). V. Berkovich.
• Introduction to Algebraic K-Theory. (AM-72). J. Milnor.
• An Introduction to G-Functions. (AM-133). B. Dwork, G. Gerotto, et al.
• An Introduction to Linear Transformations in Hilbert Space. (AM-4). F.J. Murray.
• Introduction to Mathematical Logic (PMS-13). A. Church.
• Introduction to Non-Linear Mechanics. (AM-11). N.M. Krylov and N.N. Bogoliubov.
• Introduction to Ramsey Spaces (AM-174). S. Todorcevic.
• Introduction to Toric Varieties. (AM-131). W. Fulton.
• Invariant Forms on Grassmann Manifolds. (AM-89). W. Stoll.
• Isoperimetric Inequalities in Mathematical Physics. (AM-27). G. Polya and G. Szegö.
• Knot Groups. Annals of Mathematics Studies. (AM-56). L.P. Neuwirth.
• Knots, Groups and 3-Manifolds: Papers Dedicated to the Memory of R.H. Fox. (AM-84). L.P. Neuwirth.
• K-Theory of Forms. (AM-98). A. Bak.
• Lectures on Curves on an Algebraic Surface. (AM-59). D. Mumford.
• Lectures on Differential Equations. (AM-14). S. Lefschetz.
• Lectures on Fourier Integrals. (AM-42). S. Bochner; M. Tenenbaum and H. Pollard, trans.
• Lectures on Modular Forms. (AM-48). R.C. Gunning.
• Lectures on P-Adic L-Functions. (AM-74). K. Iwasawa.
• Lectures on Resolution of Singularities (AM-166). J. Kollár.
• Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127). G. Faltings.
• Lectures on the Theory of Games (AM-37). H.W. Kuhn.
• Lie Equations: Vol. I, General Theory. (AM-73). A. Kumpera and D.C. Spencer.
• Linear Inequalities and Related Systems. (AM-38). H.W. Kuhn and A.W. Tucker.
• Markov Processes from K. Itô's Perspective (AM-155). D.W. Stroock.
• Mathematical Aspects of Nonlinear Dispersive Equations (AM-163). J. Bourgain, C. Kenig, et al., eds.
• Meromorphic Functions and Analytic Curves. (AM-12). H. Weyl.
• Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8). H. Busemann.
• Modern Methods in Complex Analysis: The Princeton Conference in Honor of Gunning and Kohn. (AM-137). T. Bloom, D.W. Catlin, et al., eds.
• Modular Forms and Special Cycles on Shimura Curves. (AM-161). S. Kudla, M. Rapoport, et al.
• Moments, Monodromy, and Perversity. (AM-159): A Diophantine Perspective. (AM-159). N.M. Katz.
• Morse Theory. (AM-51). J. Milnor.
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105). M. Giaquinta.
• Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183). M. Green, P.A. Griffiths, et al.
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75). G.B. Folland and J.J. Kohn.
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128). D.C. Ravenel.
• Normal Two-Dimensional Singularities. (AM-71). H.B. Laufer.
• On Group-Theoretic Decision Problems and Their Classification. (AM-68). C.F. Miller, III.
• On Knots. (AM-115). L.H. Kauffman.
• On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173). S. Morel.
• On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157). M. Green and P. Griffiths.
• Order-Preserving Maps and Integration Processes. (AM-31). E.J. McShane.
• Outer Billiards on Kites (AM-171). R. Schwartz.
• Period Spaces for p-divisible Groups (AM-141). M. Rapoport and T. Zink.
• Probleme General de la Stabilite du Mouvement. (AM-17). A.M. Liapounoff.
• Profinite Groups, Arithmetic, and Geometry. (AM-67). S.S. Shatz.
• Prospects in Mathematics. (AM-70). F. Hirzebruch, L. Hörmander, et al.
• Prospects in Topology: Proceedings of a Conference in Honor of William Browder. (AM-138). F. Quinn, ed.
• Radically Elementary Probability Theory. (AM-117). E. Nelson.
• Radon Transforms and the Rigidity of the Grassmannians (AM-156). J. Gasqui and H. Goldschmidt.
• Ramification Theoretic Methods in Algebraic Geometry (AM-43). S.S. Abhyankar.
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101). M.B. Marcus and G. Pisier.
• The Real Fatou Conjecture. (AM-144). J. Graczyk and G. Swiatek.
• Recent Developments in Several Complex Variables. (AM-100). J.E. Fornaess.
• Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142). C.T. McMullen.
• Riemann SurfaceseRelated Topics: Proceedings of the 1978 Stony Brook Conference. (AM-97). I. Kra and B. Maskit, eds.
• Rigid Local Systems. (AM-139). N.M. Katz.
• Scattering Theory for Automorphic Functions. (AM-87). P.D. Lax and R.S. Phillips.
• Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154). S. Kamvissis, K.D.T-R McLaughlin, et al.
• Seminar on Atiyah-Singer Index Theorem. (AM-57). R.S. Palais, ed.
• Seminar on Differential Geometry. (AM-102). S. Yau, ed.
• Seminar on Micro-Local Analysis. (AM-93). V. Guillemin, M. Kashiwara, et al.
• Seminar On Minimal Submanifolds. (AM-103). E. Bombieri, ed.
• Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91). L. Hörmander.
• Seminar on Transformation Groups. (AM-46). A. Borel.
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120). J. Arthur and L. Clozel.
• Singular Points of Complex Hypersurfaces. (AM-61). J. Milnor.
• Smoothings of Piecewise Linear Manifolds. (AM-80). M.W. Hirsch and B. Mazur.
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181). U. Zannier.
• Spaces of PL Manifolds and Categories of Simple Maps. F. Waldhausen, B. Jahren, et al.
• The Spectral Theory of Toeplitz Operators. (AM-99). L. Boutet de Monvel and V. Guillemin.
• Spherical CR Geometry and Dehn Surgery (AM-165). R. Schwartz.
• Stationary Processes and Prediction Theory. (AM-44). H. Furstenberg.
• Strong Rigidity of Locally Symmetric Spaces. (AM-78). G.D. Mostow.
• The Structure of Affine Buildings. (AM-168). R.M. Weiss.
• Surface Area. (AM-35). L. Cesari.
• Surveys on Surgery Theory: Volume 1. Papers Dedicated to C. T. C. Wall. (AM-145). S. Cappell, A. Ranicki, et al., eds.
• Surveys on Surgery Theory: Volume 2. Papers Dedicated to C.T.C. Wall. (AM-149). S. Cappell, A. Ranicki, et al., eds.
• Symposium on Infinite Dimensional Topology. (AM-69). R.D. Anderson.
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134). L.H. Kauffman and S. Lins.
• A Theory of Cross-Spaces. (AM-26). R. Schatten.
• Theory of Formal Systems. (AM-47). R.M. Smullyan.
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110). D. Eisenbud and W.D. Neumann.
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63). E.M. Stein.
• Topics in Topology. (AM-10). S. Lefschetz.
• Topics in Transcendental Algebraic Geometry. (AM-106). P.A. Griffiths, ed.
• Topological Methods in the Theory of Functions of a Complex Variable. (AM-15). M. Morse.
• Topology Seminar Wisconsin, 1965. (AM-60). R.H. Bing and R.J. Bean, eds.
• Transcendental Numbers. (AM-16). C.L. Siegel.
• Triangulated Categories. (AM-148). A. Neeman.
• Twisted L-Functions and Monodromy. (AM-150). N.M. Katz.
• The Two-Valued Iterative Systems of Mathematical Logic. (AM-5). E.L. Post.
• An Essay Toward a Unified Theory of Special Functions. (AM-18). C. Truesdell.
• Unitary Representations of Reductive Lie Groups. (AM-118). D.A. Vogan, Jr.
• Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175). B. Brubaker, D. Bump, et al.

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