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Pure and Applied Mathematics

Pure and Applied Mathematics

Pure and Applied Mathematics 503 PURE AND APPLIED MATHEMATICS VOl. 1 VOl. 2 Vol. 3 VOl. 4 VOl. Vol. VOl. Vol. VOl. 5 6 7 8 9 VOl. 10 VOl. 11* VOl...

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Pure and Applied Mathematics

503

PURE AND APPLIED MATHEMATICS VOl. 1 VOl. 2 Vol. 3 VOl. 4 VOl. Vol. VOl. Vol. VOl.

5 6 7 8 9

VOl. 10 VOl. 11* VOl. 12*

Vol. 13 Vol. 14 Vol. 15* Vol. Vol. Vol. Vol. VOl. VOl.

16* 17 18 19 20 21

VOl. 22

Vol. 23* Vol. 24

Arnold Sommerfeld, Partial Differential Equations in Physics Reinhold Baer, Linear Algebra and Projective Geometry Herbert Busemann and Paul Kelly, Projective Geometry and Projective Metrics Stefan Bergman and M. Schiffer, Kernel Functions and Elliptic Differential Equations in Mathematical Physics Ralph Philip Boas, Jr., Entire Functions Herbert Busemann, The Geometry of Geodesics Claude Chevalley, Fundamental Concepts of Algebra Sze-Tsen Hu, Homotopy Theory A. M. Ostrowski, Solution of Equations in Euclidean and Banach Spaces, Third Edition of Solution of Equations and Systems of Equations J . DieudonnC, Treatise on Analysis: Volume I, Foundations of Modern Analysis; Volume II; Volume III; Volume IV; Volume V; Volume VI; Volume VII S . I . Goldberg, Curvature and Homology Sigurdur Helgason, Differential Geometry and Symmetric Spaces T . H. Hildebrandt, Introduction to the Theory of Integration Shreeram Abhyankar, Local Analytic Geometry Richard L. Bishop and Richard J. Crittenden, Geometry of Manifolds Steven A. Gaal, Point Set Topology Barry Mitchell, Theory of Categories Anthony P. Morse, A Theory of Sets Gustave Choquet, Topology Z. I. Borevich and I. R. Shafarevich, Number Theory JosC Luis Massera and Juan Jorge Schaffer, Linear Differential Equations and Function Spaces Richard D. Schafer, A n Introduction to Nonassociative A lgebras Martin Eichler, Introduction to the Theory of Algebraic Numbers and Functions Shreeram Abhyanker, Resolution of Singularities of Embedded Algebraic Surfaces

* Presently out of print

504

Pure and Applied Mathematics

Vol. 25 Vol. Vol. Vol. Vol.

26 27 28* 29

Vol. 30 Vol. 31 Vol. 32 VOl. 33 VOl. VOl. Vol. VOl. Vol.

34* 35 36 37 38 VOl. 39 Vol. 40* Vol. 41* Vol. 42 VOl. 43 VOl. 44 VOl. 45 Vol. 46

Vol. 41

Vol. 48

Franqois Treves, Topological Vector Spaces, Distributions, and Kernels Peter D. Lax and Ralph S. Phillips, Scattering Theory Oystein Ore, The Four Color Problem Maurice Heins, Complex Function Theory R. M. Blumenthal and R. K. Getoor, Markov Processes and Potential Theory L. J. Mordell, Diophantine Equations J. Barkley Rosser, Simplified Independence Proofs: Boolean Valued Models of Set Theory William F. Donoghue, Jr., Distributions and Fourier Transforms Marston Morse and Stewart S. Cairns, Critical Point Theory in Global Analysis and Differential Topology Edwin Weiss, Cohomology of Groups Hans Freudenthal and H. De Vries, Linear Lie Groups Laszlo Fuchs, Infinite Abelian Groups Keio Nagami, Dimension Theory Peter L. Duren, Theory of H p Spaces Bod0 Pareigis, Categories and Functors Paul L. Butzer and Rolf J. Nessel, Fourier Analysis and Approximation: Volume I, One-Dimensional Theory Eduard PrugoveCki, Quantum Mechanics in Hilbert Space D. V. Widder, An Introduction to Transform Theory Max D. Larsen and Paul J. McCarthy, Multiplicative Theory of Ideals Ernst-August Behrens, Ring Theory Morris Newman, Integral Matrices Glen E. Bredon, Introduction to Compact Transformation Groups Werner Greub, Stephen Halperin, and Ray Vanstone, Connections, Curvature, and Cohomology: Volume I, De Rham Cohomology of Manifolds and Vector Bundles Volume II, Lie Groups, Principal Bundles, and Characteristic Classes Volume III, Cohomology of Principal Bundles and Homogeneous Spaces Xia Dao-Xing, Measure and Integration Theory of InfiniteDimensional Spaces: Abstract Harmonic Analysis

Pure and Applied Mathematics

505

Ronald G. Douglas, Banach Algebra Techniques in Operator Theory Vol. 50 Willard Miller, Jr., Symmetry Groups and Theory Applications Vol. 51 Arthur A. Sagle and Ralph E. Walde, Introduction to Lie Groups and Lie Algebras Vol. 52 T. Benny Rushing, Topological Embeddings VOl. 53* James W. Vick, Homology Theory: An Introduction to Algebraic Topology VOl. 54 E. R. Kolchin, Differential Algebra and Algebraic Groups VOl. 55 Gerald J. Janusz, Algebraic Number Fields Vol. 56 A. S . B. Holland, Introduction to the Theory of Entire Functions VOl. 57 Wayne Roberts and Dale Varberg, Convex Functions H. M. Edwards, Riemann’s Zeta Function Vol. 58 VOl. 59 Samuel Eilenberg, Automata, Languages, and Machines: Volume A , Volume B Vol. 60 Morris Hirsch and Stephen Smale, Differential Equations, Dynamical Systems, and Linear Algebra Wilhelm Magnus, Noneuclidean Tesselations and Their Group Vol. 61 Vol. 62 Francois Treves, Basic Linear Partial Differential Equations Vol. 63* William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry Vol. 64 Brayton Gray, Homotopy Theory: An Introduction to Algebraic Topology Robert A. Adams, Sobolev Spaces Vol. 65 Vol. 66 John J . Benedetto, Spectral Synthesis Vol. 67 D. V. Wilder, The Heat Equation Vol. 68 Irving Ezra Segal, Mathematical Cosmology and Extragalactic Astronomy Vol. 69 I . Martin Isaacs, Character Theory of Finite Groups Vol. 70 James R. Brown, Ergodic Theory and Topological Dynamics C . Truesdell, A First Course in Rational Continuum Mechanics: Vol. 71 Volume I , General Concepts Vol. 72 K. D. Stroyan and W. A. J. Luxemburg, Introduction to the Theory of Infinitesimals B. M. Puttaswamaiah and John D. Dixon, Modular RepresentaVOl. 73 tions of Finite Groups VOl. 74 Melvyn Berger , Nonlinearity and Functional Analysis: Lectures on Nonlinearity Problems in Mathematical Analysis George Gratzer, Lattice Theory VOl. 75 VOl. 49

506

Pure and Applied Mathematics

Charalambos D. Aliprantis and Owen Burkinshaw, Locally Solid Riesz Spaces VOl. 77 Jan Mikusinski, The Bochner Integral Vol. 78 Michiel Hazelwinkel, Formal Groups and Applications VOl. 79 Thomas Jech, Set Theory Vol. 80 Sigurdur Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces Vol. 81 Carl L. DeVito, Functional Analysis Vol. 82 Robert B. Burckel, A n Introduction to Classical Complex Analysis Vol. 83 C. Truesdell and R. G. Muncaster, Fundamentals of Maxwell’s Kinetic Theory of a Simple Monatomic Gas: Treated as a Branch of Rational Mechanics Vol. 84 Louis Halle Rowen, Polynomial Identities in Ring Theory Vol. 85 Joseph J. Rotman, A n Introduction to Homological Algebra Vol. 86 Barry Simon, Functional Integration and Quantum Physics Vol. 87 Dragos M. Cvetkovic, Michael Doob, and Horst Sachs, Spectra of Graphs Vol. 88 David Kinderlehrer and Guido Stampacchia, An Introduction to Variational Inequalities and Their Applications Vol. 89 Herbert Seifert, W . Threlfall, A Textbook of Topology Vol. 90 Grezegorz Rozenberg and Art0 Salomaa, The Mathematical Theory of L Systems Vol. 91 Donald W . Kahn, Introduction to Global Analysis Vol. 92 Eduard PrugoveCki, Quantum Mechanics in Hilbert Space, Second Edition VOl. 93 Robert M. Young, An Introduction to Nonharmonic Fourier Series VOl. 94 M. C. Irwin, Smooth Dynamical Systems Vol. 96 John B. Garnett, Bounded Analytic Functions VOl. 97 Jean DieudonnC, A Panorama of Pure Mathematics: As Seen by N. Bourbaki Vol. 98 Joseph G. Rosenstein, Linear Orderings VOl. 99 M. Scott Osborne and Garth Warner, The Theory of Eisenstein Systems VOl. 100 Richard V. Kadison and John R. Ringrose, Fundamentals of the Theory of Operator Algebras: Volume I , Elementary Theory; Volume 2, Advanced Theory VOl. 101 Howard Osborn, Vector Bundles: Volume 1, Foundations and Stiefel- Whitney Classes Vol. 76

Pure and Applied Mathematics

507

VOl. 102 Avraham Feintuch and Richard Saeks, System Theory: A

Hilbert Space Approach Vol. 103 Barrett O’Neill, Semi-Riemannian Geometry: With Applications to Relativity Vol. 104 K. A. Zhevlakov, A. M. Slin’ko, I. P. Shestakov, and A. I . Shirshov, Rings That Are Nearly Associative Vol. 105 U l f Grenander, Mathematical Experiments on the Computer Vol. 106 Edward B. Manoukian, Renormalization Vol. 107 E. J. McShane, Unified Integration Vol. 108 A. P. Morse, A Theory of Sets, Revised and Enlarged Edition Vol. 109 K. P. S . Bhaskara-Rao and M. Bhaskara-Rao, Theory of Charges: A Study of Finitely Additive Measures VOl. 110 Larry C. Grove, Algebra VOl. 111 Steven Roman, The Umbra1 Calculus VOl. 112 John W. Morgan and Hyman Bass, editors, TheSmith Conjecture Vol. 113 Sigurdur Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions Vol. 114 E. R. Kolchin, Differential Algebraic Groups Vol. 115 Isaac Chavel, Eigenvalues in Riemannian Geometry Vol. 116 W. D. Curtis and F . R. Miller, Differential Manifolds and Theoretical Physics Jean Berstel and Dominique Perrin, Theory of Codes Vol. 117 VOl. 118 A. E. Hurd and P. A. Loeb, A n Introduction to Nonstandard Real A nalysis Vol. 119 Charalambos D . Aliprantis and Owen Burkinshaw, Positive Operators VOl. 120 William M. Boothby, A n Introduction to Differentiable Manifolds and Riemannian Geometry, Second Edition VOl. 121 Douglas C . Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres VOl. 122 Sergio Albeverio, Jens Erik Fenstad, Raphael H~egh-Krohn, and Tom Lindstrerm, Nonstandard Methods in Stochastic Analysis and Mathematical Physics Vol. 123 Albert0 Torchinsky, Real- Variable Methods in Harmonic Analysis Vol. 124 Robert J . Daverman, Decomposition of Manifolds Vol. 125 J . M. 0. Fell and R. S . Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Volume I , Basic Representation Theory of Groups and Algebras

508

Pure and Applied Mathematics

Vol. 126 J. M. G. Fell and R. S. Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Volume 2, Induced Representations, the Imprimitivity Theorem, and the Generalized Mackey Analysis Vol. 127 Louis H. Rowen, Ring Theory, Volume I Vol. 128 Louis H. Rowen, Ring Theory, Volume II Vol. 129 Colin Bennett and Robert Sharpley, Interpolation of Operators Vol. 130 Jurgen Poschel and Eugene Trubowitz, Inverse Spectral Theory Vol. 131 Jens Carsten Jantzen, Representations of Algebraic Groups Vol. 132 Nolan R. Wallach, Real Reductive Groups Z Vol. 133 Michael Sharpe, General Theory of Markov Processes Vol. 134 Igor Frenkel, James Lepowsky, and Arne Meurman, Vertex Operator Algebras and the Monster