最全美国研究生教材系列丛书(GTM)书目,收藏了!
书单名如下
1 Introduction to Axiomatic Set Theory, Gaisi Takeuti, W. M. Zaring
2 Measure and Category, John C. Oxtoby
3 Topological Vector Spaces, H.H. Schaefer, M.P. Wolff
4 A Course in Homological Algebra, Peter Hilton, Urs Stammbach
5 Categories for the Working Mathematician, Saunders Mac Lane
6 Projective Planes, Hughes, Piper
7 A Course in Arithmetic, Jean-Pierre Serre
8 Axiomatic Set Theory, Gaisi Takeuti, Zaring
9 Introduction to Lie Algebras and Representation Theory, James E. Humphreys
10 A Course in Simple-Homotopy Theory, M. M. Cohen
11 Functions of One Complex Variable I, John B. Conway
12 Advanced Mathematical Analysis, R. Beals
13 Rings and Categories of Modules, Frank W. Anderson, Kent R. Fuller
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
19 A Hilbert Space Problem Book, Paul R. Halmos
20 Fibre Bundles, Dale Husemoller
21 Linear Algebraic Groups, James E. Humphreys
22 An Algebraic Introduction to Mathematical Logic, Barnes, Mack
23 Linear Algebra, Werner H. Greub
24 Geometric Functional Analysis and Its Applications, Holmes
25 Real and Abstract Analysis, Edwin Hewitt, Karl Stromberg
26 Algebraic Theories, Manes
27 General Topology, John L. Kelley
28 Commutative Algebra I, Oscar Zariski, Pierre Samuel, Cohen
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
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
85 Fourier Series A Modern Introduction, R. E. Edwards
86 Introduction to Coding Theory, J.H. van Lint
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.
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
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
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
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
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
206 Problems in Analytic Number Theory, M. Ram Murty
207 Algebraic Graph Theory, Godsil, Royle
208 Analysis for Applied Mathematics, Ward Cheney
209 A Short Course on Spectral Theory, William Arveson
210 Number Theory in Function Fields, Michael Rosen
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
219 The Arithmetic of Hyperbolic 3-Manifolds, Maclachlan, Reid
220 Smooth Manifolds and Observables, Jet Nestruev
221 Convex Polytopes, Branko Grünbaum
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.
225 Lie Groups, Daniel Bump
226 Spaces of Holomorphic Functions in the Unit Ball, Zhu, K.
227 Combinatorial Commutative Algebra, Ezra Miller, Bernd Sturmfels
228 A First Course in Modular Forms, Fred Diamond, J. Shurman
229 The Geometry of Syzygies, David Eisenbud
230 An Introduction to Markov Processes, Stroock, D.W.
231 Combinatorics of Coxeter Groups, Anders Björner, Francisco Brenti
232 An Introduction to Number Theory, Everest, G., Ward, T.
233 Topics in Banach Space Theory, Albiac, F., Kalton, N.J.
234 Analysis and Probability · Wavelets, Signals, Fractals, Jorgensen, P.E.T.
235 Compact Lie Groups, M. R. Sepanski
236 Bounded Analytic Functions, Garnett, J.
237 An Introduction to Operators on the Hardy-Hilbert Space, Martinez-Avendano, R.A., Rosenthal, P.
238 A Course in Enumeration, Aigner, M.
239 Number Theory - Volume I: Elementary and Algebraic Methods for Diophantine Equations, Cohen, H
240 Number Theory - Volume II: Analytic and Modern Tools, Cohen, H.
241 The Arithmetic of Dynamical Systems, Joseph H. Silverman
242 Abstract Algebra, Grillet, Pierre Antoine
243 Topological Methods in Group Theory, Geoghegan, Ross
244 Graph Theory, Bondy, J.A., Murty, U.S.R.
245 Complex Analysis: Introduced in the Spirit of Lipman Bers,Gilman, Jane P., Kra, Irwin, Rodriguez, Rubi E.
246 A Course in Commutative Banach Algebras, Kaniuth, Eberhard
247 Braid Groups, Kassel, Christian, Turaev, Vladimir
248 Buildings Theory and Applications, Abramenko, Peter, Brown, Ken
249 Classical Fourier Analysis, Grafakos, Loukas
250 Modern Fourier Analysis, Grafakos, Loukas
251 The Finite Simple Groups, Wilson, Robert, Parker, Christopher W.
252 Distributions and Operators, Grubb, Gerd
253 MacCluer. Elementary Functional Analysis.
254 Stichtenoth. Algebraic Function Fields.and Codes.
255 Goodman,Wallach. Symmetry,Representations,and Invariants.
256 Kemper. A Course in Commutative Algebra.
257 Hartshorne. Deformation Theory.
258 Güler. Foundation of Optimization.
259 Einsiedler,Ward. Ergodic Theory:with a view towards Number Theory.
260 Herzog,Hibi. Monomial Ideals.
261 Çınlar. Probability and Stochastics.
262 Stroock. Essentials of Integration Theory for Analysis.
263 Zhu. Analysis on Fock Spaces.
264 Clarke. Functional Analysis, Calculus of Variations and Optimal Control.
265 Schmüdgen. Unbounded Self-adjoint Operators on Hilbert Space.
266 Penot. Calculus Without Derivatives.
267 Hall. Quantum Theory for Mathematians.
268 Krantz. Geometric Analysis of the Bergman Kernel and Metric.
269 Osborne. Locally Convex Spaces.