平成27年度　数理科学研究科図書室　学生参考図書リスト
著者等 書名
Aikawa, H.(相川弘明) 複雑領域上のディリクレ問題（岩波数学叢書）
Abraham, R. - Marsden, J.E. - Ratiu, T. Manifolds, tensor analysis, and applications. 2nd ed.
Adams, R.A. Sobolev spaces.
Ahlfors, L.V. Complex analysis. 3rd ed.
Ambrosio, L. Gradient flows. 2nd ed.
Ames, W.F. Nonlinear partial differential equations in engineering.
Arai, H.(新井仁之) ルベーグ積分講義
Arnold, V.I. Mathematical methods of classical mechanics. 2nd ed.
Arnold, V.I. - Avez, A. 古典力学のエルゴード問題
Asano, K.(浅野啓三) - Nagao, H.(永尾汎) 群論
Atiyah, M.F. K-theory.
Atiyah, M.F. - MacDonald, I.G. Introduction to commutative algebra.
Baker, A. Transcendental number theory.
Bardi, M. Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations.
Barth, W. - Peters, C.A.M. - van der Ven, A. Compact complex surfaces.
Bass, H. Algebraic K-theory.
Berge, C. The Theory of graphs and its applications.
Beauville, Arnaud Complex algebraic surfaces,2nd ed
Berthelot, Pierre - Ogus, Arthur Notes on crystalline cohomology
Besse, A.L. Einstein manifolds.
Billingsley, P. Ergodic theory and information.
Borel, A. Linear algebraic groups. 2nd enlarged ed.
Borevich, Z.I. - Shafarevich, I.R. Number theory.
Bott, R. - Tu, L.W. Differential forms in algebraic topology.
Bourbaki, N. Algebre. Chap. 1, 2, 3, 4-5, 6-7, 8.
Bourbaki, N. Algebre commutative.Chap. 1-2, 3-4, 5-6, 7.
Bourbaki, N. Commutative algebra.
Bourbaki, N. Groupes et algebres de Lie. Chap. 4-6.
Bourbaki, N. Lie groups and Lie algebras. Chap. 1-3. 4-6.
Bourbaki, N. Topologie generale.Chap. 1-2.
Brezis, H. Analyse fonctionnelle: theorie et applications.
Brezis, H. Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert.
Brezzi, Franco - Fortin, Michel Mixed and hybrid finite element methods
Browder, W. Surgery on simply-connected manifolds.
Bump, D. Automorphic forms and representations
Cartan, H. - Eilenberg, S. Homological algebra.
Casson, A.J. - Bleiler, S.A. Automorphisms of surfaces after Nielsen and Thurston.
Chavel, I. Eigenvalues in Riemannian geometry.
Cheeger, J. - Ebin, D.G. Comparison theorems in Riemannian geometry.
Chevalley, C. Theory of Lie groups. I.
Ciarlet, Philippe G. The Finite Element Method for Elliptic Problems
Coddington, E.A. - Levinson, N. Theory of ordinary differential equations.
Cornell, Gary - Silverman,Joseph H.- Stevens, Glenn(Editors) Modular forms and Fermat's last theorem. 3rd ed.
Courant, R. - Hilbert, D. Methods of mathematical physics. Vol. 1, 2.
Coxeter, H.S.M. - Moser, W.O.J. Generators and relations for discrete groups.
Curtis, C.W. - Reiner, I. Methods of representation theory with applications to finite groups and orders. Vol. 1, 2.
Curtis, C.W. - Reiner, I. Representation theory of finite groups and associativealgebras.
Daubechies, I. ウェーブレット10講
Debnath:L. - Mikusi?ski, P. Hilbert spaces with applications 3rd. ed.
Dierkes, U., et al. Minimal Surfaces.Vol. 1, 2.
Dieudonne, J. La Geometrie des groupes classiques.
Dirac, P.A.M. The Principles of quantum mechanics. 3rd ed.
Donaldson, S.K. - Kronheimer, P.B. The Geometry of four-manifolds.
Dornhoff, L. Group representation theory. Pt. A, B.
Duoandikoetxea, J. Fourier analysis.
Dunford, N. - Schwartz, J.T. Linear operators.Pt. 1, 2, 3.
Durrett, R. Probability: theory and examples. 2nd ed.
Edwards, R.E. Functional analysis : theory and applications
Ehrenpreis, L. Fourier analysis in several complex variables.
Engquist, B.- Schmid, W. (editors) Mathematics unlimited : 2001 and beyond
Engquist, B.- Schmid, W. (editors) 数学の最先端21世紀への挑戦 　第1巻～第6巻
Falconer, K. フラクタル幾何学（新しい解析学の流れ）
Federer, H. Geometric measure theory.
Feit, W. Characters of finite groups.
Feller, W. An Introduction to probability theory and its applications. Vol. 1 (3rd ed.), Vol. 2 (2nd ed.)
Folland, G.B. Introduction to partial differential equations. 2nd ed.
Fomenko, A.T. - Tuzhilin, A.A. Elements of the geometry and topology of mininal surfaces in three-dimensional space.
Freed, D.S. - Uhlenbeck, K.K. Instantons and four-manifolds. 2nd ed.
Freitag, E. - Kiehl, R. Etale cohomology and the Weil conjecture.
Fukaya, K.(深谷賢治) ゲージ理論とトポロジー
Fuks, B.A. Special chapters in the theory of analytic functions of several complex variables.
Fuks, B.A. Theory of analytic functions of several complex variables.
Fulton, W. Intersection theory. 2nd ed.
Galdi, G.P. An introduction to the mathematical theory of the Navier-Stokes equations. 2nd ed.
Gallot, S. - Hulin, D. - Lafontaine, J. Riemannian geometry. 2nd ed.
Gasquet, C. - Witomski, P. Fourier analysis and applications(Texts in applied mathematics ; 30)
Gelbart, S.S. Automorphic forms on Adele groups.
Gel'fand, S.I. Methods of homological algebra. 2nd ed.
Gel'fand, I.M., et al. Generalized functions.(English ed.) Vol. 1, 2, 3, 4, 5.
Gilbarg, D. - Trudinger, N.S. Elliptic partial differential equations of second order. 2nd ed.
Godement, R. Topologie algebrique et theorie des faisceaux.
Gorenstein, D. Finite groups.
Grauert, H.- Remmert, R. Coherent analytic sheaves.
Grauert, H.- Remmert, R. Theory of Stein spaces
Griffiths, P. - Harris, J. Principles of algebraic geometry.
Gromov,M. Metric structures for Riemannian and non-Riemannian spaces.
Grothendieck, A. Elements de geometrie algebrique. T. 2, 3-1,2, 4-1,2,3,4.
Grothendieck, A. Espaces vectoriels topologiques.
Grothendieck, A. Fondements de la geometrie algebrique.
Grothendieck, A. - Dieudonne, J.A. Elements de geometrie algebrique. T. 1.
Guillemin, V. - Pollack, A. Differential topology.
Gunning, R.C. Introduction to holomorphic functions of several variables.Vol. 1, 2, 3
Gunning, R.C. - Rossi, H. Analytic functions of several complex variables.
Hadamard, J. Lectures on Cauchy's problem in linear partial differential equations.
Hall, M. Jr. Combinatorial theory. 2nd ed.
Hall, M. Jr. The Theory of groups.
Hardy, G.H. - Littlewood, J.E. - Polya, G. Inequalities.
Hartshorne, R. Algebraic geometry.
Hatcher,A. Algebric topology.
Helgason, S. Differential geometry, Lie groups, and symmetric spaces.
Helms, L.L. Potential theory. 2nd ed.
Hermes, H. - LaSalle, J.P. Functional analysis and time optimal control.
Hewitt, E. - Stromberg, K. Real and abstract analysis.
Hida, Haruzo.(肥田晴三) Elementary theory of L-functions and Eisenstein series.
Higuchi, Y.(樋口保成) パーコレーション : ちょっと変わった確率論入門
Hille, E. Analytic function theory.Vol. 1, 2.
Hirzebruch, F. Topological methods in algebraic geometry. 3rd enlarged ed.
Hirzebruch, F. -Neumann, W.D. - Koh, S.S. Differentiable manifolds and quadratic forms.
Hitotumatu, S.(一松信) 多変数解析函数論
Horikawa, E.(堀川穎二) 複素代数幾何学入門
Hormander, L. The Analysis of linear partial differential operators. 1(2nd ed.), 2, 3, 4.
Hormander, L. An Introduction to complex analysis in several variables. 3rd ed.
Howe, R. - Tan, E.-C. Non-abelian harmonic analysis : applications of SL (2,R)
Hukuhara, M.(福原満洲雄) 常微分方程式
Humphreys, J.E. Introduction to Lie algebras and representation theory.
Huppert, B. Endliche Gruppen. Bd. 1.
Husemoller, D. Elliptic curves.
Huybrechts, Daniel Complex geometry : an introduction
Igusa, J.(井草準一) Theta functions.
Ihara, Y.(伊原康隆) On congruence monodromy problems. Vol. 1, 2.
Iitaka, S.(飯高茂) Algebraic geometry.
Iitaka, S.(飯高茂) Birational geometry for open varieties.
Ikeda, N.(池田信行) - Watanabe, S.(渡辺信三) Stochastic differential equations and diffusion processes. 2nd ed.
Inui, T.(犬井鉄郎) 特殊函数
Ireland, K. - Rosen, M. A Classical introduction to modern number theory. 2nd ed.
Isaacson, E. - Keller, H.B. Analysis of numerical methods
Ito, K.(伊藤清) - McKean, H.P.Jr. Diffusion processes and their sample paths.
Ito, N.(伊藤昇) 有限群論
Ito, S.(伊藤清三) ルベーグ積分入門
Iwahori, N.(岩堀長慶) Lie環論とChevalley群 　上、下
Iwahori, N.(岩堀長慶) 対称群と一般線型群の表現論
Iwasawa, K.(岩澤健吉) 代数函数論
Iyanaga, S.(弥永昌吉)［編］ 数論
Iyanaga, S.(弥永昌吉) - Kodaira, K.(小平邦彦) 現代数学概説 １
Jacobson, N. Lectures in abstract algebra. Vol. 3.
Jacobson, N. Lie algebras.
Jimbo, M.(神保道夫) 量子群とヤン・バクスター方程式
Jimbo, S.(神保秀一) - Morita, Y.(森田善久) ギンツブルク-ランダウ方程式と安定性解析(岩波数学叢書)
John, F. 偏微分方程式
John, F. Lectures on advanced numerical analysis.
Joyce, D.D. Compact manifolds with special holonomy.
Kac, M. Statistical independence in probabililty, analysis and number theory.
Kac, V. Infinite dimensional Lie Algebras. 3rd ed.
Kadomtsev, B.B. プラズマ中の集団現象
Kaneko, A.(金子晃) 新版 超函数入門
Karlin, S. A First course in stochastic processes.
Karlin, S. Mathematical methods and theory in games, programming,and economics. Vol. 2.
Kashiwara, M.(柏原正樹) - Schapira, P. Sheaves on manifolds.
Kashiwara, M.(柏原正樹) - Kawai, T.(河合隆裕) - Kimura,T.(木村達雄) 代数解析学の基礎
Kato, Tosio.(加藤敏夫) 行列の摂動
Kato, Tosio.(加藤敏夫) Perturbation theory for linear operators. 2nd ed.
Katz, N.M. - Mazur, B. Arithmetic moduli of elliptic curves.
Kawada, Y.(河田敬義) - Mimura, Y.(三村征雄) 現代数学概説 2
Kelley, J.L. General topology.
Kellogg, O.D. Foundations of potential theory.
Kikuchi, F.(菊地文雄) 有限要素法概説 : 理工学における基礎と応用(新訂版)
Kleene, S.C. Introduction to metamathematics.
Knapp, A.W. Lie groups beyond an introduction.
Knapp, A.W. Lie groups, Lie algebras, and cohomology.
Kobayashi, S.(小林昭七) Differential geometry of complex vector bundles
Kobayashi, S.(小林昭七) 接続の微分幾何とゲージ理論
Kobayashi, S.(小林昭七) - Nomizu, K.(野水克也) Foundations of differential geometry. Vol. 1, 2.
Kobayashi, T.(小林俊行) - Oshima, T.(大島利雄) リー群と表現論
Kobayashi, T.(小林俊行) - Oshima, T.(大島利雄) Lie群とLie環. 1, 2
Kodaira, K.(小平邦彦) 代数曲面論
Kodaira, K.(小平邦彦) 複素解析
Kodaira, K.(小平邦彦) 複素解析曲面論
Kodaira, K.(小平邦彦) 複素多様体と複素構造の変形. 1, 2
Komatsu, H.(小松彦三郎) 佐藤の超函数と定数係数線形偏微分方程式
Korner, T.W. Fourier analysis
Krantz, S.G. A panaroma [i.e. panorama] of harmonic analysis(The Carus mathematical monographs ; no. 27)
Koshliakov, N.S. - Gliner, E.B. - Smirnov, M.M. 物理・工学における偏微分方程式. 上, 下
Krantz, S.G. A panaroma [i.e. panorama] of harmonic analysis(The Carus mathematical monographs ; no. 27)
Kumano-go, H.(熊ノ郷準) Pseudo-differential operators.
Kuroda, S.(黒田成俊) 関数解析
Lamperti, J. Probablility.　2nd ed.
Lang, S. Abelian varieties.
Lang, S. Cyclotomic fields. I&II. Combined 2nd ed.
Lang, S. Elliptic functions. 2nd ed.
Lazarsfeld, R. Positivity in algebraic geometry. 1, 2
Lions, J.L. Quelques methodes de resolution des problemes aux limites non lineaires.
Lions, J.L. - Magenes, E. Problemes aux limites non homogenes et applications. Vol. 1, 2, 3.
Lunardi, A. Analytic Semigroups and Optimal Regularity in Parabolic Problems.
Macdonald, I.G. Symmetric functions and Hall polynomials. 2nd ed.
Maslov, V.P. 摂動論と漸近的方法
Matsumura, H.(松村英之) Commutative algebra. 2nd ed.
Matsumura, H.(松村英之) 可換環論
Matsushima, Y.(松島与三) 多様体入門
May, J.P. A concise course in algebraic topology.
McDuff, D. - Salamon, D. Introduction to symplectic topology.
McKean, H.P. Stochastic integrals.
Meyer, P.A. Probability and potentials.
Meyer, Y. - Salinger, D.H. Wavelets and operators.(Cambridge studies in advanced mathematics ; 37)
Mikhlin, S.G. Multidimensional singular integrals and integralequations.
Milne, J.S. Arithmetic duality theorems.
Milne, J.S. Etale cohomology.
Milnor, J.W. Lectures on the h-cobordism theorem.
Milnor, J.W. Morse theory.
Milnor, J.W. Singular points of complex hypersurfaces.
Milnor, J.W. Topology from the differentiable viewpoint. Rev. ed.
Milnor, J.W. - Stasheff, J.D. Characteristic classes.
Miwa, T.(三輪哲二) - Jimbo, M.(神保道夫) - Date, E.(伊達悦朗) ソリトンの数理
Mizohata, S.(溝畑茂) 偏微分方程式論
Morgan, J., Tian, G. Ricci flow and the Poincare conjecture(Clay mathematics monographs ; v. 3)
Morgan, J., Tian, G. The geometrization conjecture(Clay mathematics monographs ; v. 5)
Mori, M.(森正武) 数値解析と複素関数論
Moriguti,S.(森口繁一) - Udagawa,K.(宇田川久) - Hitotumatu,S.(一松 信) 数学公式. 1, 2, 3.
Morikawa, H.(森川寿) 不変式論
Morimoto, M.(森本光生) 佐藤超函数入門
Morrow, J. - Kodaira, K.(小平邦彦) Complex manifolds.
Mumford, D. Abelian varieties.
Mumford, D. Algebraic geometry. I: Complex projective varieties.
Mumford, D. Curves and their Jacobians.
Mumford, D. Introduction to algebraic geometry.
Mumford, D. Lectures on curves on an algebraic surface.
Mumford, D. Tata lectures on theta, I
Mumford, D. Tata lectures on theta, II
Mumford, D. - Fogarty, J. - Kirwan F. Geometric invarient theory. 3rd enlarged ed.
Nagata, M.(永田雅宜) 可換体論
Nagata, M.(永田雅宜) Local rings.
Neumann, J. van. Mathematische Grundlagen der Quantenmechanik.
Nevanlinna, R. Analytic functions.
日本数学会[編集] 岩波数学辞典. 第4版
Nirenberg, L. Lectures on linear partial differential equations.
Nishiura, Y.(西浦康政) 越境する数学
Noguchi, J.(野口潤次郎) 複素解析概論
Ochiai, T.(落合卓四郎) 微分幾何入門. 上, 下
Ochiai, T.(落合卓四郎)- Noguchi, J.(野口潤次郎) 幾何学的関数論
Ochiai, T.(落合卓四郎) - Takahashi, K.(高橋勝雄) 初等解析入門
Ohsawa, T. (大沢健夫) 多変数複素解析
Palamodov, V.P. Linear differential operators with constant coefficients.
Penner, R.C. Decorated Teichmuller theory.
Petrovskii, I.G. Lectures on partial differential equations.
Pontriagin, L.S. 連続群論. 上, 下
Pontriagin, L.S. et al. The Mathematical theory of optimal processes.
Preston, C.J. Gibbs states on countable sets.
Raghunathan, M.S. Discrete subgroups of Lie groups.
Rao, C.R. Linear statistical inference and its applications. 2nd ed.
Reed, M. - Simon, B. Methods of modern mathematical physics.I: Functional analysis.
Reid, M. Undergraduate algebraic geometry.
Reid, M. Undergraduate commutative algebra.
Revuz, D. - Yor, M. Continuous Martingales and Brownian motion. 3rd ed.
Richtmyer, R.D. - Morton, K.W. Difference methods for initial-value problems. 2nd ed.
Rolfsen, D. Knots and links.
Rudin, W. Real and complex anaylsis. 3rd ed.
Ruelle, D. Statistical mechanics.
Sakai, T.(酒井隆) リーマン幾何学
Saks, S. Theory of the integral. 2nd rev. ed.
Saks, S. - Zygmund, A. Analytic functions.
Satake, I.(佐武一郎) Classification theory of semi-simple algebraic groups.
Schechter, M. Modern methods in partial differential equations.
Schneider, Th. Einfuhrung in die Transzendenten Zahlen.
Schwartz, L. Theorie des distributions.
Serre, J.-P. Abelian l-adic representations and elliptic curves.
Serre, J.-P. Corps locaux.
Serre, J.-P. Cours d'arithmetique.
Serre, J.-P. Linear representations of finite groups.
Serre, J.-P. Representations lineaires des groupes finis.
Shafarevich, I.R. Basic algebraic geometry. 2nd ed. Vol. 1, 2.
Shimura, G.(志村五郎) Introduction to the arithmetic theory of automorphic functions.
Shimura, G.(志村五郎) - Taniyama, Y.(谷山豊) Complex multiplication of abelian varieties and itsapplications to number theory.
Siegel, C.L. Topics in complex function theory. Vol. 1, 2, 3.
Siegel, C.L. - Moser, J.K. Lectures on celestial mechanics.
Silverman, J.H. Advanced topics in the arithmetic of elliptic curves
Silverman, J.H. The arithmetic of elliptic curves.
Silverman, J.H. - Tate, J.T. Rational points on elliptic curves.
Sommerfeld, A. Partial differential equations in physics.
Spanier, E.H. Algebraic topology.
Srivastava, M.S. - Khatri, C.G. An Introduction to multivariate statistics.
Steenrod, N. The Topology of fibre bundles.
Steenrod, N.E. - Epstein, D.B.E. Cohomology operations.
Stein, E.M. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals.
Steklov Institute of mathematics.Vol. 75 [Shafarevich, I.R., et al.: Algebraic surfaces.]
Struwe, M. Variational methods. 3rd ed.
Suetuna, Z.(末綱恕一) 解析的整数論
Takagi, T.(高木貞治) 代数学講義. 改訂新版
Takagi, T.(高木貞治) 代数的整数論. 第2版
Takagi, T.(高木貞治) 解析概論. 改訂第3版
Takagi, T.(高木貞治) 近世数学史談. 3版
Takagi, T.(高木貞治) 数学雑談. 2版
Takagi, T.(高木貞治) 初等整数論講義. 第2版
Takesaki, M.(竹崎正道) Theory of operator algebras. I.
Tamura, I.(田村一郎) トポロジー
Tamura, I.(田村一郎) 葉層のトポロジー　
Tamura, J.(田村二郎) 解析函数
Thurston, W. R. Three-dimentional geometry and topology. Vol. 1.
Titchmarsh, E.C. The Theory of functions. 2nd ed.
Totoki, H.(十時東生) エルゴード理論入門
Treves, F. Basic linear partial differential equations.
Treves, F. Topological vector spaces, distributions and kernels.
Triebel, H. Theory of function spaces 1,2 (Monographs in mathematics)
Tsuji, M.(辻正次) 函数論. 上, 下
Ueno, K.(上野健爾) - Shiga, K.(志賀浩二) - Sunada, T.(砂田利一)[編] 現代数学の土壌
Umegaki, H.(梅垣壽春) - Ohya, M.(大矢雅則) - Hiai, F.(日合文雄) 作用素代数入門
Waerden, B.L. van der. 現代代数学. 1, 2, 3.
Wall, C.T.C. Surgery on compact manifolds. 2nd ed.
Warner, F.W. Foundations of differentiable manifolds and Lie groups.
Washington, L.C. Introduction to cyclotomic fields. 2nd ed.
Watanabe, S.(渡辺信三) 確率微分方程式
Weil, A. Adeles and algebraic groups.
Weil, A. Basic number theory
Weil, A. Courbes algebriques et varietes abeliennes.
Weil, A. Foundations of algebraic geometry.
Weil, A. L'integration dans les groupes topologiques et ses applications.
Weil, A. Introduction a l'etude des varietes Kahleriennes.
Weil, A. 数学の将来
Weilbel, C.A. An introduction to homological algebra(Cambridge studies in advanced mathematics ; 38)
Wells, R.O. Jr. Differential analysis on complex manifolds
Weyl, H. The Classical groups.
Weyl, H. Die Idee der Riemannschen Flache.
Weyl, H. リーマン面
Whittaker, E.T. - Watson, G.N. A Course of modern analysis. 4th ed.
Wielandt, H. Finite permutation groups.
Yagi, A.(八木厚志) 放物型発展方程式とその応用 上・下(岩波数学叢書）
Yamamoto, T.(山本哲朗) 数値解析入門 （増訂版） (サイエンスライブラリ現代数学への入門 ; 14)
Yosida, K.(吉田耕作) Functional analysis.　6th ed.
Yosida, K.(吉田耕作) Lectures on differential and integral equations.
Yosida, K.(吉田耕作) 積分方程式論. 第2版
Yosida, N.(吉田伸生) ルベーグ積分入門
Young, R.M. An introduction to nonharmonic Fourier series
Zariski, O. Algebraic surfaces. 2nd suppl. ed.
Zariski, O. Introduction to the problem of minimal models in the theory of algebraic surfaces.
Zariski, O. - Samuel, P. Commutative algebra. Vol. 1, 2.
Zeidler, E. Nonlinear functional analysis and its applications. Vol. 1, 3.
Ziemer, W.P. Weakly differentiable functions.
Zygmund, A. Trigonometric series. Vol. 1, 2.

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