UTM和GTM書目，來自維基百科

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  寄意寒星 (強き者よ) 楼主 2008-08-28 21:24:18

  GTM： 1 Introduction to Axiomatic Set Theory, Gaisi Takeuti, W. M. Zaring 2 Measure and Category, John C. Oxtoby (1997, ISBN 978-0-387-90508-2) 3 Topological Vector Spaces, H.H. Schaefer, M.P. Wolff (1999, ISBN 978-0-387-98726-2) 4 A Course in Homological Algebra, Peter Hilton, Urs Stammbach (1997, ISBN 978-0-387-94823-2) 5 Categories for the Working Mathematician, Saunders Mac Lane (1998, ISBN 978-0-387-98403-2) 6 Projective Planes, Hughes, Piper 7 A Course in Arithmetic, Jean-Pierre Serre (1996, ISBN 978-0-387-90040-7) 8 Axiomatic Set Theory, Gaisi Takeuti, Zaring 9 Introduction to Lie Algebras and Representation Theory, James E. Humphreys (1997, ISBN 978-0-387-90053-7) 10 A Course in Simple-Homotopy Theory, M. M. Cohen 11 Functions of One Complex Variable I, John B. Conway (1995, ISBN 978-0-387-90328-6) 12 Advanced Mathematical Analysis, R. Beals (1973, ISBN 978-0-387-90065-0) 13 Rings and Categories of Modules, Frank W. Anderson, Kent R. Fuller (1992, ISBN 978-0-387-97845-1) 14 Stable Mappings and Their Singularities, Golubitsky, Guillemin 15 Lectures in Functional Analysis and Operator Theory, S. K. Berberian 16 The Structure of Fields, D. Winter 17 Random Processes, M. Rosenblatt 18 Measure Theory, Paul R. Halmos (1974, ISBN 978-0-387-90088-9) 19 A Hilbert Space Problem Book, Paul R. Halmos (1982, ISBN 978-0-387-90685-0) 20 Fibre Bundles, Dale Husemoller (1994, ISBN 978-0-387-94087-8) 21 Linear Algebraic Groups, James E. Humphreys (1998, ISBN 978-0-387-90108-4) 22 An Algebraic Introduction to Mathematical Logic, Barnes, Mack 23 Linear Algebra, Werner H. Greub (1981, ISBN 978-0-387-90110-7) 24 Geometric Functional Analysis and Its Applications, Holmes 25 Real and Abstract Analysis, Edwin Hewitt, Karl Stromberg (1975, ISBN 978-0-387-90138-1) 26 Algebraic Theories, Manes 27 General Topology, John L. Kelley (1975, ISBN 978-0-387-90125-1) 28 Commutative Algebra I, Oscar Zariski, Pierre Samuel, Cohen (1975, ISBN 978-0-387-90089-6) 29 Commutative Algebra II, Oscar Zariski, Pierre Samuel 30 Lectures in Abstract Algebra I, Nathan Jacobson 31 Lectures in Abstract Algebra II, Nathan Jacobson 32 Lectures in Abstract Algebra III, Nathan Jacobson 33 Differential Topology, Morris W. Hirsch 34 Principles of Random Walk, Frank Spitzer 35 Several Complex Variables and Banach Algebras, Herbert Alexander, John Wermer 36 Linear Topological Spaces, John L. Kelley, Isaac Namioka 37 Mathematical Logic, J. Donald Monk 38 Several Complex Variables, Grauert, Fritzsche 39 An Invitation to C * -Algebras, William Arveson 40 Denumerable Markov Chains, John George Kemeny, Snell, Knapp et al. 41 Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol 42 Linear Representations of Finite Groups, Jean-Pierre Serre, Scott 43 Rings of Continuous Functions, Gillman, Jerison 44 Elementary Algebraic Geometry, K. Kendig 45 Probability Theory I, M. Loève 46 Probability Theory II, M. Loève 47 Geometric Topology in Dimensions 2 and 3, Edwin E. Moise 48 General Relativity for Mathematicians, R.K. Sachs, H. Wu 49 Linear Geometry, K.W. Gruenberg, A.J. Weir 50 Fermat's Last Theorem, Harold M. Edwards 51 A Course in Differential Geometry, Klingenberg 52 Algebraic Geometry, Robin Hartshorne 53 A Course in Mathematical Logic, Yu. I. Manin 54 Combinatorics with Emphasis on the Theory of Graphs, Graver, Watkins 55 Introduction to Operator Theory I, Brown, Pearcy 56 Algebraic Topology: An Introduction, William S. Massey 57 Introduction to Knot Theory, Richard H. Crowell, Ralph H. Fox (1977, ISBN 978-0-387-90272-2) 58 P-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz 59 Cyclotomic Fields, Serge Lang 60 Mathematical Methods of Classical Mechanics, V. I. Arnold 61 Elements of Homotopy Theory, George W. Whitehead 62 Fundamentals of the Theory of Groups, Kargapolov, Merzljakov, Burns 63 Graph Theory, Béla Bollobás 64 Fourier Series I, Edwards 65 Differential Analysis on Complex Manifolds, R.O. Wells Jr. 66 Introduction to Affine Group Schemes, W.C. Waterhouse 67 Local Fields, Jean-Pierre Serre, Greenberg 68 Linear Operators on Hilbert Spaces, Weidmann, Szuecs 69 Cyclotomic Fields II, Serge Lang 70 Singular Homology Theory, William S. Massey 71 Riemann Surfaces, Herschel Farkas, Irwin Kra 72 Classical Topology and Combinatorial Group Theory, John Stillwell 73 Algebra, Thomas W. Hungerford 74 Multiplicative Number Theory, Harold Davenport, Hugh Montgomery 75 Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild 76 Algebraic Geometry, Iitaka 77 Lectures on the Theory of Algebraic Numbers, Hecke, Brauer, Goldman et al. 78 A Course in Universal Algebra, Burris, Sankappanavar (Online [1]) 79 An Introduction to Ergodic Theory, Peter Walters 80 A Course in the Theory of Groups, Derek J.S. Robinson 81 Lectures on Riemann Surfaces, Forster, Gilligan 82 Differential Forms in Algebraic Topology, Raoul Bott, Loring Tu 83 Introduction to Cyclotomic Fields, Lawrence C. Washington 84 A Classical Introduction to Modern Number Theory, Ireland, Rosen (1995, ISBN 0-387-97329-X) 85 Fourier Series A Modern Introduction, R. E. Edwards 86 Introduction to Coding Theory, J.H. van Lint (3rd ed 1998, ISBN 3-540-64133-5) 87 Cohomology of Groups, Kenneth S. Brown 88 Associative Algebras, R.S. Pierce 89 Introduction to Algebraic and Abelian Functions, Serge Lang 90 An Introduction to Convex Polytopes, Arne Brondsted 91 The Geometry of Discrete Groups, Alan F. Beardon 92 Sequences and Series in Banach Spaces, J. Diestel 93 Modern Geometry - Methods and Applications I, Dubrovin, Fomenko, Novikov et al. 94 Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner 95 Probability, Shiryaev, Boas 96 A Course in Functional Analysis, John B. Conway 97 Introduction to Elliptic Curves and Modular Forms, Neal Koblitz 98 Representations of Compact Lie Groups, Broecker, Dieck 99 Finite Reflection Groups, Grove, Benson 100 Harmonic Analysis on Semigroups, Berg, Christensen, Ressel 101 Galois Theory, Harold M. Edwards 102 Lie Groups, Lie Algebras, and Their Representations, V. S. Varadarajan 103 Complex Analysis, Serge Lang 104 Modern Geometry - Methods and Applications II, Dubrovin, Fomenko, Novikov et al. 105 SL2(R), Serge Lang 106 The Arithmetic of Elliptic Curves, Joseph H. Silverman 107 Applications of Lie Groups to Differential Equations, Peter J. Olver 108 Holomorphic Functions and Integral Representations in Several Complex Variables, R. Michael Range 109 Univalent Functions and Teichmüller Spaces, O. Lehto 110 Algebraic Number Theory, Serge Lang 111 Elliptic Curves, Dale Husemöller 112 Elliptic Functions, Serge Lang 113 Brownian Motion and Stochastic Calculus, Ioannis Karatzas, Steven Shreve 114 A Course in Number Theory and Cryptography, Neal Koblitz 115 Differential Geometry, Berger, Gostiaux, Levy 116 Measure and Integral, John L. Kelley, Srinivasan 117 Algebraic Groups and Class Fields, Jean-Pierre Serre 118 Analysis Now, Gert K. Pedersen 119 An Introduction to Algebraic Topology, Joseph J. Rotman 120 Weakly Differentiable Functions, William P. Ziemer 121 Cyclotomic Fields I-II, Serge Lang, Karl Rubin 122 Theory of Complex Functions, Remmert, Burckel 123 Numbers, Lamotke, Ewing, Ebbinghaus et al. 124 Modern Geometry - Methods and Applications III, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Petrovich Novikov et al. (1990, ISBN 978-0-387-97271-8) 125 Complex Variables, Berenstein, Gay 126 Linear Algebraic Groups, Armand Borel 127 A Basic Course in Algebraic Topology, William S. Massey 128 Partial Differential Equations, Jeffrey Rauch 129 Representation Theory, William Fulton, Joe Harris 130 Tensor Geometry, C.T.J. Dodson, T. Poston 131 A First Course in Noncommutative Rings, T.Y. Lam 132 Iteration of Rational Functions, Alan F. Beardon 133 Algebraic Geometry, Joe Harris 134 Coding and Information Theory, Steven Roman 135 Advanced Linear Algebra, Steven Roman 136 Algebra, Adkins, Weintraub 137 Harmonic Function Theory, Axler, Bourdon, Ramey 138 A Course in Computational Algebraic Number Theory, Henri Cohen (1996, ISBN 0-387-55640-0) 139 Topology and Geometry, Glen E. Bredon 140 Optima and Equilibria, Jean-Pierre Aubin 141 Gröbner Bases, Becker, Weispfenning, Kredel 142 Real and Functional Analysis, Serge Lang, (1993, ISBN 978-0387940014) 143 Measure Theory, J.L. Doob 144 Noncommutative Algebra, Farb, Dennis 145 Homology Theory, James W. Vick 146 Computability, Douglas S. Bridges 147 Algebraic K-Theory and Its Applications, Jonathan Rosenberg 148 An Introduction to the Theory of Groups, Joseph J. Rotman 149 Foundations of Hyperbolic Manifolds, John G. Ratcliffe 150 Commutative Algebra with a View Toward Algebraic Geometry, David Eisenbud 151 Advanced Topics in the Arithmetic of Elliptic Curves, Joseph H. Silverman 152 Lectures on Polytopes, Günter M. Ziegler 153 Algebraic Topology, William Fulton 154 An Introduction to Analysis, Brown, Pearcy 155 Quantum Groups, Christian Kassel 156 Classical Descriptive Set Theory, Alexander S. Kechris 157 Integration and Probability, Malliavin, Airault, Kay et al. 158 Field Theory, Steven Roman 159 Functions of One Complex Variable II, John B. Conway 160 Differential and Riemannian Manifolds, Serge Lang 161 Polynomials and Polynomial Inequalities, Borwein, Erdelyi 162 Groups and Representations, Alperin, Bell 163 Permutation Groups, Dixon, Mortimer 164 Additive Number Theory I, Melvyn B. Nathanson 165 Additive Number Theory II, Melvyn B. Nathanson 166 Differential Geometry, R.W. Sharpe, Shiing-Shen Chern 167 Field and Galois Theory, Patrick Morandi 168 Combinatorial Convexity and Algebraic Geometry, Guenter Ewald 169 Matrix Analysis, Rajendra Bhatia 170 Sheaf Theory, Glen E. Bredon 171 Riemannian Geometry, Peter Petersen 172 Classical Topics in Complex Function Theory, Remmert, Kay 173 Graph Theory, Reinhard Diestel 174 Foundations of Real and Abstract Analysis, Douglas S. Bridges 175 An Introduction to Knot Theory, W. B. Raymond Lickorish 176 Riemannian Manifolds, John M. Lee 177 Analytic Number Theory , Donald J. Newman 178 Nonsmooth Analysis and Control Theory, Clarke, Ledyaev, Stern et. al 179 Banach Algebra Techniques in Operator Theory, Ronald G. Douglas 180 A Course on Borel Sets, S.M. Srivastava 181 Numerical Analysis, Rainer Kress 182 Ordinary Differential Equations, Walter, Thompson 183 An Introduction to Banach Space Theory, Robert E. Megginson 184 Modern Graph Theory, Béla Bollobás 185 Using Algebraic Geometry, Cox, Little, O Shea 186 Fourier Analysis on Number Fields, Ramakrishnan, Valenza 187 Moduli of Curves, Harris, Morrison 188 Lectures on the Hyperreals, Robert Goldblatt 189 Lectures on Modules and Rings, Tsit-Yuen Lam 190 Problems in Algebraic Number Theory, Esmonde, Murty 191 Fundamentals of Differential Geometry, Serge Lang 192 Elements of Functional Analysis Hirsch, Lacombe, Levy 193 Advanced Topics in Computational Number Theory, Henri Cohen (2000, ISBN 0-387-98727-4) 194 One-Parameter Semigroups for Linear Evolution Equations, Engel, Nagel 195 Elementary Methods in Number Theory, Melvyn B. Nathanson 196 Basic Homological Algebra, M. Scott Osborne 197 The Geometry of Schemes, Eisenbud, Harris 198 A Course in p-adic Analysis, Alain Robert 199 Theory of Bergman Spaces, Hedenmalm, Korenblum, Zhu 200 An Introduction to Riemann-Finsler Geometry, David Bao, Shiing-Shen Chern, Zhongmin Shen 201 Diophantine Geometry, Hindry, Joseph H. Silverman (2000, ISBN 978-0-387-98975-4) 202 Introduction to Topological Manifolds, John M. Lee 203 The Symmetric Group, Bruce E. Sagan 204 Galois Theory, Jean-Pierre Escofier 205 Rational Homotopy Theory, Yves Félix, Stephen Halperin, Jean-Claude Thomas (2000, ISBN 978-0-387-95068-0) 206 Problems in Analytic Number Theory, M. Ram Murty (2001, ISBN 978-0-387-95143-0) 207 Algebraic Graph Theory, Godsil, Royle (2001, ISBN 978-0-387-95241-3) 208 Analysis for Applied Mathematics, Ward Cheney (2001, ISBN 978-0-387-95279-6) 209 A Short Course on Spectral Theory, William Arveson (2002, ISBN 978-0-387-95300-7) 210 Number Theory in Function Fields, Michael Rosen (2002, ISBN 978-0-387-95335-9) 211 Algebra, Serge Lang 212 Lectures on Discrete Geometry, Jiri Matousek 213 From Holomorphic Functions to Complex Manifolds, Fritzsche, Grauert 214 Partial Differential Equations, Juergen Jost 215 Algebraic Functions and Projective Curves, David Goldschmidt 216 Matrices, Denis Serre 217 Model Theory: An Introduction, David Marker 218 Introduction to Smooth Manifolds, John M. Lee (2003, ISBN 978-0-387-95448-6) 219 The Arithmetic of Hyperbolic 3-Manifolds, Maclachlan, Reid 220 Smooth Manifolds and Observables, Jet Nestruev 221 Convex Polytopes, Branko Grünbaum (2003, ISBN 0-387-00424-6) 222 Lie Groups, Lie Algebras, and Representations, Brian C. Hall 223 Fourier Analysis and its Applications, Anders Vretblad 224 Metric Structures in Differential Geometry, Walschap, G., (2004, ISBN 978-0-387-20430-7) 225 Lie Groups, Daniel Bump, (2004, ISBN 978-0-387-21154-1) 226 Spaces of Holomorphic Functions in the Unit Ball, Zhu, K., (2005, ISBN 978-0-387-22036-9) 227 Combinatorial Commutative Algebra, Ezra Miller, Bernd Sturmfels, (2005, ISBN 978-0-387-22356-8) 228 A First Course in Modular Forms, Fred Diamond, J. Shurman, (2006, ISBN 978-0-387-23229-4) 229 The Geometry of Syzygies, David Eisenbud (2005, ISBN 978-0-387-22215-8) 230 An Introduction to Markov Processes, Stroock, D.W., (2005, ISBN 978-3-540-23499-9) 231 Combinatorics of Coxeter Groups, Anders Björner, Francisco Brenti, (2005, ISBN 978-3-540-44238-7) 232 An Introduction to Number Theory, Everest, G., Ward, T., (2005, ISBN 978-1-85233-917-3) 233 Topics in Banach Space Theory, Albiac, F., Kalton, N.J., (2006, ISBN 978-0-387-28141-4) 234 Analysis and Probability · Wavelets, Signals, Fractals, Jorgensen, P.E.T., (2006, ISBN 978-0-387-29519-0) 235 Compact Lie Groups, M. R. Sepanski, (2007, ISBN 978-0-387-30263-8) 236 Bounded Analytic Functions, Garnett, J., (2007, ISBN 978-0-387-33621-3) 237 An Introduction to Operators on the Hardy-Hilbert Space, Martinez-Avendano, R.A., Rosenthal, P., (2007, ISBN 978-0-387-35418-7) 238 A Course in Enumeration, Aigner, M., (2007, ISBN 978-3-540-39032-9) 239 Number Theory - Volume I: Elementary and Algebraic Methods for Diophantine Equations, Cohen, H., (2007, ISBN 978-0-387-49922-2) 240 Number Theory - Volume II: Analytic and Modern Tools, Cohen, H., (2007, ISBN 978-0-387-49893-5) 241 The Arithmetic of Dynamical Systems, Joseph H. Silverman, (2007, ISBN 978-0-387-69903-5) 242 Abstract Algebra, Grillet, Pierre Antoine, (2007, ISBN 978-0-387-71567-4) 243 Topological Methods in Group Theory, Geoghegan, Ross, (2007, ISBN 978-0-387-74611-1) 244 Graph Theory, Bondy, J.A., Murty, U.S.R., (2007, ISBN 978-1-84628-969-9) 245 Complex Analysis: Introduced in the Spirit of Lipman Bers,Gilman, Jane P., Kra, Irwin, Rodriguez, Rubi E. (2007, ISBN 978-0-387-74714-9) 246 A Course in Commutative Banach Algebras, Kaniuth, Eberhard, (2008, ISBN 978-0-387-72475-1) 247 Braid Groups, Kassel, Christian, Turaev, Vladimir, (2008, ISBN 978-0-387-33841-5) 248 Buildings Theory and Applications, Abramenko, Peter, Brown, Ken (2008, ISBN 978-0-387-78834-0) 249 Classical Fourier Analysis, Grafakos, Loukas, (2008, ISBN 978-0-387-09431-1) 250 Modern Fourier Analysis, Grafakos, Loukas, (2008, ISBN 978-0-387-09433-5) 251 The Finite Simple Groups, Wilson, Robert, Parker, Christopher W., (2009, ISBN 978-1-84800-987-5) 252 Distributions and Operators, Grubb, Gerd, (2009, ISBN 978-0-387-84894-5)

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