|| 分析/方程 | 代數/數論 | 幾何/拓樸 | 計算/應用 | 機率/統計 | 離散數學 ||
*分類中依第一作者姓氏字母排序。**尚未提供書評的書籍，會在尾端加註記號*。
分析/方程
微積分/分析/實分析（參考書評）
- Richard Courant, Fritz John Introduction to calculus and analysis
- Gerald B. Folland Real analysis: modern techniques and their applications
- Peter D. Lax Functional analysis *
- Jerrold E. Marsden, Michael J. Hoffman Elementary classical analysis
- Elliott H. Lieb, Michael Loss Analysis*
- Louis Nirenberg Topics in nonlinear functional analysis *
- Murray H. Protter, Charles B. Morrey A first course in real analysis
- Halsey L. Royden Real analysis
- Walter Rudin Principles of Mathematical Analysis
- Elias M. Stein, Rami Shakarchi Princeton Lectures in Analysis, 1-4 *
- Richard L. Wheeden, Antoni Zygmund Measure and integral: an introduction to real analysis *
常微分方程（參考書評）
- Vladimir I. Arnold Ordinary differential equations
- Paul Blanchard, Robert L. Devaney, Glen R. Hall Differential equations
- William E. Boyce, Richard C. DiPrima Elementary differential equations and boundary value problems
- Morris W. Hirsch, Stephen Smale Differential equations, dynamical systems, and linear algebra
- Edward L. Ince Ordinary differential equations
偏微分方程（參考書評）
- Lawrence C. Evans Partial Differential Equations
- David Gilbarg, Neil S. Trudinger Elliptic partial differential equations of second order
- Fritz John Partial Differential Equations
- Nicolai V. Krylov Lectures on elliptic and parabolic equations in Holder spaces *
- Gary M. Lieberman Second order parabolic differential equations *
- Walter A. Strauss An introduction to partial differential equations
複變 （參考書評）
- Lars V. Ahlfors Complex analysis : an introduction to the theory of analytic functions of one complex variable
- John B. Conway Functions of one complex variable
- Lars HormanderAn Introduction to Complex Analysis in Several Variables
- Rolf H. Nevanlinna Introduction to complex analysis
- Walter Rudin Real and complex analysis
- Elias M. Stein, Rami Shakarchi Princeton Lectures in Analysis 2, Complex Analysis
- Edward C. Titchmarsh The theory of functions
- Edmund T. Whittaker, George N. Watson A Course of Modern Analysis
代數/數論
線性代數（參考書評）
- Kenneth M Hoffman, Ray Kunze Linear Algebra (2nd Edition)
代數（參考書評）
- Michael Artin Algebra
- David S. Dummit, Richard M. Foote Abstract Algebra
- John R.Durbin Modern Algebra
- John B.Fraleigh Abstract Algebra
- Israel N. Herstein Topics in Algebra
- Nathan Jacobson Basic Algebra
- 康明昌 《近世代數》
- Serge Lang Algebra
- Vander Waerden Algebra *
代數幾何（參考書評）
＊也可參考複代數幾何。- Allen Altman, Steven Kleiman Introduction to Grothendieck Duality Theory
- Robin Hartshorne Algebraic Geometry
- David Munford The Red Book of Varieties and Schemes
數論（參考書評）
- Kazuya Kato, Nobushige Kurokawa, Takeshi Saito Number Theory 1: Fermat’s Dream, Number Theory 2: Introduction to Class Field Theory
＝加藤和也、黑川信重、斎藤毅《數論I》、《數論II》（大陸簡中版） - J. P. Serre A course in arithmetic
- Joseph H. Silverman, John T. Tate Rational Points on Elliptic Curves
- 從交換代數、代數幾何、代數數論到自守表現論的一份書單與評述（謝銘倫老師）
幾何/拓樸
一般幾何（參考書評）
- David Hilbert, Stephan Cohn-Vossen Geometry and the Imagination
微分幾何（參考書評）
- Thierry Aubin Nonlinear Analysis on Manifolds, Monge Ampere Equations
- Manfredo P. do Carmo Differential geometry of curves and surfaces *
- Manfredo P. do Carmo Riemannian Geometry
- Jeff Cheeger, David G. Ebin Comparison Theorems in Riemannian Geometry
- Boris A. Dubrovin, Anatoly T. Fomenko, Sergei P. Novikov Modern Geometry--Methods and Applications
- Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine Riemannian Geometry
- Sigurdur Helgason Differential Geometry, Lie Groups, and Symmetric Spaces
- Noel J. Hicks Notes on Differential Geometry *
- Heinz Hopf (prefaced by S.S. Chern) Differential geometry in the large *
- 黃武雄 《初等微分幾何講稿》 *
- Jurgen Jost Riemannian geometry and geometric analysis
- Barrett O'Neill Elementary differential geometry *
- Leon Simon Geometric Measure Theory
- Michael Spivak A Comprehensive Introduction to Differential Geometry, 1-5
- Dirk Jan Struik Lectures on classical differential geometry *
- Frank W. Warner Foundations of differential manifolds and Lie groups *
拓樸（參考書評）
- Mark A. Armstrong Basic topology
- Raoul Bott, Loring W. Tu Differential Forms in Algebraic Topology
- Allen Hatcher Algebraic topology
- Morris W. Hirsch Differential topology
- John W. Milnor Topology from the differentiable viewpoint
- John W. Milnor Morse Theory
- James R. Munkres Topology a first course
- Norman Steenrod Topology of Fiber Bundles
黎曼面/複代數幾何（參考書評）
＊也可參考代數幾何。- W. Barth, C. Peters, A. Van de Ven Compact Complex Surfaces
- Phillip Griffith, Joseph Harris Principles of Algebraic Geometry
- Robert C. Gunning Lectures on Riemann Surfaces
- Kunihiko Kodaira (小平邦彥), James Morrow Complax Manifolds
- Janos Kollar, Shigefumi Mori Birational Geometry of Algebraic Varieties
- George S. Springer Introductions to Riemann surfaces
- 伍鴻熙《緊黎曼曲面引論》
計算/應用
- Richard Courant, David Hilbert Methods of mathematical physics
機率/統計
機率（參考書評）
- Kai Lai Chung (鍾開萊) Elementary Probability Theory with Stochastic Processes
- Kai Lai Chung (鍾開萊) A Course in Probability Theory
- Richard Durret Probability : Theory and Examples
- William Feller An Introduction to Probability and Its Applications
- Sheldon Ross A First Course in Probability
- Sheldon Ross Stochastic Processes
- S. R. Srinivasa Varadhan Probability Theory
- David Williams Probability with Martingales
統計（參考書評）
- Allan G. Bluman Elementary Statistics: a step by step approach
- John A. Rice Mathematical Statistics and Data Analysis
- George E. P. Box, William G. Hunter, J. Stuart Hunter Statistics for Experimenters
- David Freedman, Robert Pisani, Roger Durves Statistics
- C. Radhakrishna Rao Linear Statistical Inference and its Applications, 2nd edition
- George Casella, Roger L. BergerStatistical Inference, 2nd edition
- Bernard Flury A First Course In Multivariate Statistics
- John A Rice Mathematical Statistics and Data Analysis, 2nd edition
- Dennis D. Wackerly, William Mendenhall Ⅲ, Richard L. Scheaffer Mathematical Statistics with applications, 6th edition
離散數學
（參考書評)- Alfred V. Aho, John E. Hopcroft, Jeffrey D. Ullman The design and analysis of computer algorithms
- Peter J. Cameron Combinatorics : topics, techniques, algorithms
- Thomas H. Cormen Introduction to Algorithms 2nd edition
- Chung Laung Liu (劉炯朗) Elements of Discrete Mathematics, 2nd edition
- Jacobus H. van Lint, Richard M. Wilson A Course in Combinatorics, 2nd edition
- Udi Manber Introduction to algorithms: a creative approach
- Jiri Matousek, Jaroslav Nesetril Invitation to Discrete Mathematics
- Christos H. Papadimitriou, Kenneth Steiglitz Combinatorial Optimization：Algorithms and Complexity
- Douglas B. West Introduction to Graph Theory, 2nd edition