Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. This particular series is easily identified by a white band at the top of the book.

List of books

*1 "Introduction to Axiomatic Set Theory", Gaisi Takeuti, W. M. Zaring (ISBN 978-0-387-90024-7)
*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 (ISBN 978-0-387-97127-8)
*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 (ISBN 978-0-387-90227-2)
*50 "Fermat's Last Theorem", Harold M. Edwards (ISBN 978-0-387-90230-2)
*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 [http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html] )
*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 "SL"₂("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 (ISBN 0-387-94656-X)
*165 "Additive Number Theory II", Melvyn B. Nathanson (ISBN 0-387-94655-1)
*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)
*253 "Elementary Functional Analysis", MacCluer, Barbara D., (2009, ISBN 978-0-387-85528-8)
*254 "Algebraic Function Fields and Codes", Stichtenoth, Henning, (2009, ISBN 978-3-540-76877-7)

External links

* [http://www.springer.com/west/home/math?SGWID=4-10042-69-173621337-0 Springer-Verlag's Summary of Graduate Texts in Mathematics]