Aberth method: Difference between revisions

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Just a little mistake, it should be z_k not x in the formula!
en>LutzL
→‎Derivation from Newton's method: More words, focus on the desired root of F, better language for last paragraph.
 
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'''Graduate Texts in Mathematics (Grad. Texts in Math., GTM)''' (ISSN 0072-5285) is a series of [[graduate school|graduate-level]] [[textbooks]] in [[mathematics]] published by [[Springer-Verlag]].  The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages).  The GTM series is easily identified by a white band at the top of the book.
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The books in this series tend to be written at a more advanced level than the similar [[Undergraduate Texts in Mathematics]] series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.
 
== List of books ==
 
*1 ''Introduction to [[Axiomatic Set Theory]]'', [[Gaisi Takeuti]], Wilson M. Zaring (1981, ISBN 978-0-387-90024-7)
*2 ''Measure and Category'', John C. Oxtoby (1980, ISBN 978-0-387-90508-2)
*3 ''[[Topological vector space|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 plane|Projective Planes]]'', [[Daniel R. Hughes]], [[Fred C. Piper]], (1982, ISBN 978-3-540-90043-6)
*7 ''A Course in Arithmetic'', [[Jean-Pierre Serre]] (1996, ISBN 978-0-387-90040-7)
*8 ''[[Axiomatic Set Theory]]'', [[Gaisi Takeuti]], Wilson M. Zaring, (1973, ISBN 978-3-540-90050-4)
*9 ''Introduction to [[Lie Algebra]]s and [[Representation Theory]]'', James E. Humphreys  (1997, ISBN 978-0-387-90053-7)
*10 ''A Course in Simple-[[Homotopy]] Theory'', Marshall. M. Cohen, (1973, ISBN 0-387-90056-X)
*11 ''Functions of One Complex Variable I'', [[John B. Conway]]  (1995, ISBN 978-0-387-90328-6)
*12 ''Advanced Mathematical Analysis'', [[Richard Beals (mathematician)|Richard 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'', [[Martin Golubitsky]], [[Victor Guillemin]], (1974, ISBN 978-0-387-90072-8)
*15 ''Lectures in [[Functional Analysis]] and [[Operator Theory]]'', [[Sterling K. Berberian]], (1974, ISBN 978-0-387-90080-3)
*16 ''The Structure of [[Field (mathematics)|Fields]]'', [[David J. Winter]], (1974, ISBN 978-3-540-90074-0)
*17 ''[[Random processes|Random Processes]]'', [[Murray Rosenblatt]], (1974, ISBN 978-0-387-90085-8)
*18 ''[[Measure theory|Measure Theory]]'', [[Paul R. Halmos]] (1974, ISBN 978-0-387-90088-9)
*19 ''A [[Hilbert space|Hilbert Space]] Problem Book'', [[Paul R. Halmos]] (1982, ISBN 978-0-387-90685-0)
*20 ''[[Fiber bundle|Fibre Bundles]]'', Dale Husemoller (1994, ISBN 978-0-387-94087-8)
*21 ''[[Linear algebraic group|Linear Algebraic Groups]]'', James E. Humphreys  (1998, ISBN 978-0-387-90108-4)
*22 ''An Algebraic Introduction to [[Mathematical Logic]]'', Donald W. Barnes, John M. Mack (1975, ISBN 978-0-387-90109-1)
*23 ''[[Linear Algebra]]'', Werner H. Greub (1981, ISBN 978-0-387-90110-7)
*24 ''[[Geometric analysis|Geometric]] [[Functional Analysis]] and Its Applications'', Richard B. Holmes, (1975, ISBN 978-0-387-90136-7)
*25 ''[[Real Analysis|Real]] and Abstract Analysis'', [[Edwin Hewitt]], Karl Stromberg (1975, ISBN 978-0-387-90138-1)
*26 ''Algebraic Theories'', Ernest G. Manes, (1976, ISBN 978-3-540-90140-2)
*27 ''[[General topology|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]] (1975, ISBN 978-0-387-90171-8)
*30 ''Lectures in [[Abstract Algebra]] I: Basic Concepts'', [[Nathan Jacobson]] (1976, ISBN 978-0-387-90181-7)
*31 ''Lectures in [[Abstract Algebra]] II: [[Linear Algebra]]'', [[Nathan Jacobson]] (1984, ISBN 978-0-387-90123-7)
*32 ''Lectures in [[Abstract Algebra]] III: Theory of [[Field (mathematics)|Fields]] and [[Galois Theory]]'', [[Nathan Jacobson]] (1976, ISBN 978-0-387-90168-8)
*33 ''[[Differential Topology]]'', Morris W. Hirsch (1976, ISBN 978-0-387-90148-0)
*34 ''Principles of [[Random walk|Random Walk]]'', [[Frank Spitzer]] (2001, ISBN 978-0-387-95154-6)
*35 ''[[Several complex variables|Several Complex Variables]] and [[Banach algebras|Banach Algebras]]'', Herbert Alexander, John Wermer (1998, ISBN 978-3-540-90160-0)
*36 ''[[Linear topological space|Linear Topological Spaces]]'', [[John L. Kelley]], [[Isaac Namioka]] (1982, ISBN 978-0-387-90169-5)
*37 ''[[Mathematical Logic]]'', J. Donald Monk (1976, ISBN 978-0-387-90170-1)
*38 ''[[Several complex variables|Several Complex Variables]]'', H. Grauert, K. Fritzsche (1976, ISBN 978-0-387-90172-5)
*39 ''An Invitation to [[C*-algebra|<math>C^*</math>-Algebras]]'', William Arveson (1976, ISBN 978-0-387-90176-3)
*40 ''Denumerable Markov Chains'', [[John G. Kemeny]], [[J. Laurie Snell]], [[Anthony W. Knapp]], D.S. Griffeath (1976, ISBN 978-0-387-90177-0)
*41 ''[[Modular function|Modular Functions]] and [[Dirichlet Series]] in Number Theory'', [[Tom M. Apostol]] (1989, 2nd ed, ISBN 978-0-387-97127-8)
*42 ''[[Linear representations|Linear Representations]] of Finite Groups'', [[Jean-Pierre Serre]], Leonhard L. Scott (1977, 978-0-387-90190-9)
*43 ''Rings of Continuous Functions'', [[Leonard Gillman]], [[Meyer Jerison]] (1976, ISBN 978-0-387-90198-5)
*44 ''Elementary [[Algebraic Geometry]]'', Keith Kendig (1977, ISBN 978-0-387-90199-2)
*45 ''[[Probability Theory]] I'', [[Michel Loève|M. Loève]] (1977, 4th ed, ISBN 978-0-387-90210-4)
*46 ''[[Probability Theory]] II'', [[Michel Loève|M. Loève]] (1978, 4th ed, ISBN 978-0-387-90262-3)
*47 ''[[General topology|Geometric Topology]] in Dimensions 2 and 3'', [[Edwin E. Moise]] (1977, ISBN 978-0-387-90220-3)
*48 ''[[General Relativity]] for Mathematicians'', [[Rainer Kurt Sachs|R. K. Sachs]], H. Wu (1983, ISBN 978-0-387-90218-0)
*49 ''Linear Geometry'', K. W. Gruenberg, A. J. Weir (2010, ISBN 978-0-387-90227-2)
*50 ''[[Fermat's Last Theorem]]: A Genetic Introduction to [[Algebraic Number Theory]]'', [[Harold M. Edwards]] (2000, ISBN 978-0-387-90230-2)
*51 ''A Course in [[Differential Geometry]]'', William Klingenberg, D. Hoffman (1983, ISBN 978-0-387-90255-5)
*52 ''[[Algebraic Geometry]]'', [[Robin Hartshorne]] (2010, ISBN 978-1-4419-2807-8)
*53 ''A Course in [[Mathematical Logic]] for Mathematicians'',  [[Yu. I. Manin]], [[Boris Zilber]]  (2009, ISBN 978-1-4419-0614-4)
*54 ''Combinatorics with Emphasis on the Theory of Graphs'', Mark E. Watkins, Jack E. Graver (1977, ISBN 978-0-387-90245-6)
*55 ''Introduction to [[Operator Theory]] I: Elements of [[Functional Analysis]]'', Arlen Brown, Carl Pearcy (1977, ISBN 978-0-387-90257-9)
*56 ''[[Algebraic Topology]]: An Introduction'', [[William S. Massey]] (1977, ISBN 978-0-387-90271-5)
*57 ''Introduction to [[Knot Theory]]'', Richard H. Crowell, [[Ralph H. Fox]] (1977, ISBN 978-0-387-90272-2)
*58 ''[[p-adic number|p-adic Numbers]], [[p-adic analysis|p-adic Analysis]], and Zeta-Functions'', [[Neal Koblitz]] (1984, ISBN 978-0-387-96017-3)
*59 ''[[Cyclotomic field|Cyclotomic Fields]]'', [[Serge Lang]] (1978, ISBN 978-0-387-90307-1)
*60 ''Mathematical Methods of [[Classical Mechanics]]'', [[Vladimir Arnold|V. I. Arnold]], [[Alan Weinstein|A. Weinstein]], K. Vogtmann (1989, ISBN 978-0-387-96890-2)
*61 ''Elements of [[Homotopy theory|Homotopy Theory]]'', [[George W. Whitehead]] (1978)
*62 ''Fundamentals of the [[Group theory|Theory of Groups]]'', Kargapolov, Merzljakov, Burns (1979)
*63 ''[[Graph Theory]], An Introductory Course'', [[Béla Bollobás]] (1979)
*64 ''[[Fourier Series]], A Modern Introduction Vol 1'', Edwards, R. E. (1979)
*65 ''Differential Analysis on [[Complex manifold|Complex Manifolds]]'', [[Raymond O. Wells, Jr.|R.O. Wells Jr.]] (2008)
*66 ''Introduction to Affine [[Group Schemes]]'', W. C. Waterhouse (1979)
*67 ''[[Local Fields (book)|Local Fields]]'', [[Jean-Pierre Serre]], Greenberg (1980)
*68 ''Linear Operators in Hilbert Spaces'', Weidmann, Szuecs (1980)
*69 ''[[Cyclotomic field|Cyclotomic Fields]] II'', [[Serge Lang]] (1980)
*70 ''[[Singular homology|Singular Homology Theory]]'', [[William S. Massey]] (1980)
*71 ''[[Riemann Surfaces]]'', Herschel Farkas, Irwin Kra (1980)
*72 ''Classical Topology and Combinatorial Group Theory'', [[John Stillwell]] (1980, 2ed 1993)
*73 ''Algebra'', [[Thomas W. Hungerford]] (1980)
*74 ''[[Multiplicative number theory|Multiplicative Number Theory]]'', [[Harold Davenport]], [[Hugh Montgomery (mathematician)|Hugh Montgomery]] (1980)
*75 ''Basic Theory of [[Algebraic group|Algebraic Groups]] and [[Lie algebra|Lie Algebras]]'', G. P. Hochschild (1981)
*76 ''[[Algebraic Geometry]]'', [[Iitaka]] (1982)
*77 ''Lectures on the [[Algebraic Number Theory|Theory of Algebraic Numbers]]'', [[Erich Hecke|Hecke]], Brauer, Goldman ''et al.'' (1981)
*78 ''A Course in [[Universal Algebra]]'', Burris, Stanley and  Sankappanavar, H. P. ([http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html Online]) (1981)
*79 ''An Introduction to [[Ergodic Theory]]'', Peter Walters (1982)
*80 ''A Course in the [[Group Theory|Theory of Groups]]'', Derek J.S. Robinson (1982)
*81 ''Lectures on [[Riemann Surfaces]]'', Forster, Gilligan (1981)
*82 ''[[Differential form|Differential Forms]] in [[Algebraic Topology]]'', [[Raoul Bott]], Loring Tu (1982)
*83 ''Introduction to [[Cyclotomic field|Cyclotomic Fields]]'', Lawrence C. Washington (1982)
*84 ''A Classical Introduction to Modern Number Theory'', Ireland, Rosen (1995, ISBN 0-387-97329-X)
*85 ''[[Fourier Series]] A Modern Introduction Vol 2'', R. E. Edwards (1982)
*86 ''Introduction to [[Coding Theory]]'', [[Jack van Lint|J. H. van Lint]] (3rd ed 1998, ISBN 3-540-64133-5)
*87 ''Cohomology of Groups'', [[Kenneth Brown (mathematician)|Kenneth S. Brown]] (1982)
*88 ''[[Associative algebra|Associative Algebras]]'', R. S. Pierce (1982)
*89 ''Introduction to Algebraic and Abelian Functions'', [[Serge Lang]] (1982)
*90 ''An Introduction to Convex Polytopes'', Arne Brondsted (1983)
*91 ''The Geometry of Discrete Groups'', Alan F. Beardon (1983, 2nd print 1995)
*92 ''Sequences and Series in [[Banach Spaces]]'', J. Diestel (1984)
*93 ''Modern Geometry - Methods and Applications I'', B. A. Dubrovin, [[Anatoly Timofeevich Fomenko]], [[Sergei Novikov (mathematician)|Sergei Novikov]] ''et al.'' (1984, 2ed 1992)
*94 ''Foundations of [[Differentiable manifold|Differentiable Manifolds]] and [[Lie Groups]]'', Frank W. Warner (1983)
*95 ''[[Probability]]'', Shiryaev, A. N. (1984, 2ed 1996)
*96 ''A Course in [[Functional Analysis]]'', [[John B. Conway]] (1985)
*97 ''Introduction to [[Elliptic Curves]] and [[Modular form|Modular Forms]]'', [[Neal Koblitz]] (1984)
*98 ''Representations of Compact Lie Groups'', Broecker, Dieck (1985)
*99 ''Finite Reflection Groups'', Grove, Benson (1985)
*100 ''[[Harmonic analysis (mathematics)|Harmonic Analysis]] on [[Semigroups]]'', Berg, Christensen, Ressel (1984)
*101 ''[[Galois Theory]]'', [[Harold Edwards (mathematician)|Harold M. Edwards]] (1984)
*102 ''Lie Groups, Lie Algebras, and Their Representations'', [[V. S. Varadarajan]] (1984)
*103 ''Complex Analysis'', [[Serge Lang]] (4th ed 1999)
*104 ''Modern Geometry - Methods and Applications II'', B. A. Dubrovin, [[Anatoly Timofeevich Fomenko]], [[Sergei Novikov (mathematician)|Sergei Novikov]] ''et al.'' (1985)
*105 ''SL''<sub>2</sub>(''R''), [[Serge Lang]] (1985)
*106 ''The Arithmetic of Elliptic Curves'', [[Joseph H. Silverman]] (1986)
*107 ''Applications of Lie Groups to Differential Equations'', Peter J. Olver (2ed 1993)
*108 ''Holomorphic Functions and Integral Representations in Several Complex Variables'', R. Michael Range (1986)
*109 ''Univalent Functions and Teichmüller Spaces'', O. Lehto (1987)
*110 ''Algebraic Number Theory'', [[Serge Lang]] (1986, 2ed 1994)
*111 ''Elliptic Curves'', Dale Husemöller (2ed 2004)
*112 ''Elliptic Functions'', [[Serge Lang]] (1986)
*113 ''Brownian Motion and Stochastic Calculus'', Ioannis Karatzas, Steven Shreve (1988)
*114 ''A Course in Number Theory and Cryptography'', [[Neal Koblitz]] (2ed 1994)
*115 ''Differential Geometry: Manifolds, Curves and Surfaces'', Berger, Gostiaux, Levy (1988)
*116 ''Measure and Integral VOl 1'', [[John L. Kelley]], Srinivasan (1988)
*117 ''Algebraic Groups and Class Fields'', [[Jean-Pierre Serre]] (1988)
*118 ''Analysis Now'', Gert K. Pedersen (1989)
*119 ''An Introduction to Algebraic Topology'', Joseph J. Rotman (1988)
*120 ''Weakly Differentiable Functions'', William P. Ziemer (1989)
*121 ''[[Cyclotomic field|Cyclotomic Fields]] I and II'' (combined edition of the books previously published as Cyclotomic Fields, Vol. I and II), [[Serge Lang]] (1990)
*122 ''Theory of Complex Functions'', Remmert, Burckel (1991, 4th print 1998)
*123 ''Numbers'', Heinz-Dieter Ebbinghaus ''et al.'' (1990, ISBN 978-0-387-97497-2)
*124 ''Modern Geometry - Methods and Applications III'', B. A. Dubrovin, [[Anatoly Timofeevich Fomenko]], [[Sergei Novikov (mathematician)|Sergei Novikov]] ''et al.''  (1990, ISBN 978-0-387-97271-8)
*125 ''Complex Variables'', Berenstein, Gay (1991)
*126 ''Linear Algebraic Groups'', [[Armand Borel]] (1991)
*127 ''A Basic Course in Algebraic Topology'', [[William S. Massey]] (1991)
*128 ''Partial Differential Equations'', Jeffrey Rauch (1991)
*129 ''Representation Theory'', [[William Fulton (mathematician)|William Fulton]], [[Joe Harris (mathematician)|Joe Harris]] (1991)
*130 ''Tensor Geometry'', C. T. J. Dodson, T. Poston (1991)
*131 ''A First Course in Noncommutative Rings'', [[T. Y. Lam]]
*132 ''Iteration of Rational Functions'', Alan F. Beardon
*133 ''[[Algebraic Geometry]]'', [[Joe Harris (mathematician)|Joe Harris]]
*134 ''Coding and Information Theory'', [[Steven Roman]]
*135 ''Advanced Linear Algebra'', [[Steven Roman]]
*136 ''Algebra: An Approach via Module Theory'', Adkins, Weintraub
*137 ''Harmonic Function Theory'', Axler, Bourdon, Ramey
*138 ''A Course in Computational Algebraic Number Theory'', [[Henri Cohen (number theorist)|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 978-0-387-94001-4)
*143 ''Measure Theory'', [[Joseph Leo Doob|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 (mathematician)|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 (mathematician)|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'', [[J. L. 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. R. Lickorish|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]] (1998)
*185 ''Using [[Algebraic Geometry]]'', Cox, Little, O Shea
*186 ''Fourier Analysis on Number Fields'', Ramakrishnan, Valenza
*187 ''Moduli of Curves'', [[Joe Harris (mathematician)|Joe 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 (number theorist)|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'', [[David Eisenbud|Eisenbud]], [[Joe Harris (mathematician)|Joe 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 Sagan|Bruce E. Sagan]]
*204 ''Galois Theory'', Jean-Pierre Escofier
*205 ''Rational Homotopy Theory'', Yves Félix, Stephen Halperin, Jean-Claude Thomas (2000, ISBN 978-0-387-95068-6 )
*206 ''Problems in Analytic Number Theory'', [[M. Ram Murty]] (2001, ISBN 978-0-387-95143-0)
*207 ''Algebraic Graph Theory'', [[Chris Godsil|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'', [[Jiří Matoušek (mathematician)|Jiří Matoušek]]
*213 ''From Holomorphic Functions to Complex Manifolds'', Fritzsche, Grauert
*214 ''[[Partial Differential Equations]]'', [[Juergen Jost]], (2002, ISBN 978-0-387-95428-8)
*215 ''[[Algebraic function|Algebraic Functions]] and [[Projective curve|Projective Curves]]'', [[David M. Goldschmidt]], (2003, ISBN 978-0-387-95432-5)
*216 ''[[Matrix (mathematics)|Matrices]]'', [[Denis Serre]], (2002, ISBN 978-0-387-95460-8)
*217 ''[[Model Theory]]: An Introduction'', [[David Marker]], (2002, ISBN 978-0-387-98760-6)
*218 ''Introduction to Smooth Manifolds'', John M. Lee (2003, ISBN 978-0-387-95448-6)
*219 ''The Arithmetic of [[Hyperbolic 3-manifold|Hyperbolic 3-Manifolds]]'', [[Colin Maclachlan]], [[Alan W. Reid]], (2003, ISBN 978-0-387-98386-8)
*220 ''[[Smooth manifold|Smooth Manifolds]] and [[Observables]]'', [[Jet Nestruev]], (2003, ISBN 978-0-387-95543-8 )
*221 ''[[Convex polytope|Convex Polytopes]]'', [[Branko Grünbaum]] (2003,  ISBN 0-387-00424-6)
*222 ''[[Lie Groups]], [[Lie Algebra]]s, and [[Representations of Lie groups|Representations]]'', [[Brian C. Hall]], (2003, ISBN 978-0-387-40122-5)
*223 ''Fourier Analysis and its Applications'', Anders Vretblad, (2003, ISBN 978-0-387-00836-3)
*224 ''Metric Structures in Differential Geometry'', Walschap, G., (2004, ISBN 978-0-387-20430-7)
*225 ''[[Lie Groups]]'', Daniel Bump, (2013, 2nd ed., ISBN 978-1-4614-8023-5)
*226 ''Spaces of Holomorphic Functions in the Unit Ball'', [[Kehe Zhu]], (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'', [[Daniel W. Stroock]], (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., [[Nigel Kalton|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: Tools and Diophantine Equations'', [[Henri Cohen (number theorist)|Cohen, H.]], (2007, ISBN 978-0-387-49922-2)
*240 ''Number Theory - Volume II: Analytic and Modern Tools'', [[Henri Cohen (number theorist)|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'', [[Robert Arnott Wilson|Wilson]], Christopher W. Parker (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)
*255 ''Symmetry, Representations, and Invariants'', Goodman, Roe, [[Nolan Wallach|Wallach, Nolan R]]., (2009, ISBN 978-0-387-79851-6)
*256 ''A Course in Commutative Algebra'', Kemper, Gregor, (2010, ISBN 978-3-642-03544-9)
*257 ''Deformation Theory'', [[Robin Hartshorne]], (2010, ISBN 978-1-4419-1595-5)
*258 ''Foundations of Optimization in Finite Dimensions'', [[Osman Guler]],  (2010, ISBN 978-0-387-34431-7)
*259 ''[[Ergodic theory|Ergodic Theory]]'', Thomas Ward, [[Manfred Einsiedler]], (2010, ISBN 978-0-85729-020-5)
*260 ''[[Monomial Ideals]]'', [[Jürgen Herzog]], (2010, ISBN 978-0-85729-105-9)
*261 ''[[Probability]] and [[Stochastics]]'', [[Erhan Cinlar]], (2011, ISBN 978-0-387-87858-4)
*262 ''Essentials of [[Integral|Integration Theory]] for [[Mathematical analysis|Analysis]]'', [[Daniel W. Stroock]], (2012, ISBN 978-1-4614-1134-5)
*263 ''Analysis on [[Fock space|Fock Spaces]]'', [[Kehe Zhu]], (2012, ISBN 978-1-4419-8800-3)
*264 ''[[Functional Analysis]], [[Calculus of Variations]] and Optimal Control'', [[Francis H. Clarke]], (2013, ISBN 978-1-4471-4819-7)
*265 ''Unbounded Self-adjoint [[Operator (mathematics)|Operators]] on [[Hilbert Space]]'', [[Konrad Schmüdgen]], (2012, ISBN 978-94-007-4752-4)
*266 ''[[Calculus]] Without [[Derivative]]s'', [[Jean-Paul Penot]], (2012, ISBN 978-1-4614-4537-1)
*267 ''Quantum Theory for Mathematicians'', Brian C. Hall, (2013, ISBN 978-1-4614-7115-8)
*268 ''Geometric Analysis of the Bergman Kernel and Metric'', [[Steven_G._Krantz|Krantz, Steven G.]], (2013, ISBN 978-1-4614-7923-9)
*269 ''Locally Convex Spaces'', M Scott Osborne, (2014, ISBN 978-3-319-02044-0)
 
==External links==
* [http://www.springer.com/west/home/math?SGWID=4-10042-69-173621337-0 Springer-Verlag's Summary of Graduate Texts in Mathematics]
 
[[Category:Series of mathematics books]]
[[Category:Textbooks]]

Latest revision as of 12:11, 6 May 2014

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