Mathematics Reading List

This is the list of my favorite mathematics books and blogs.

1. Books

1.1. Linear Algebra

• Linear Algebra Done Right - Sheldon Axler.

• Matrix Analysis for Scientists and Engineers - Alan J. Laub.

• Introduction to Linear Algebra - Gilbert Strang.

• Linear Algebra and Its Applications - Gilbert Strang.

• The Manga Guide to Linear Algebra - Shin Takahashi, Iroha Inoue.

1.2. Calculus and Analysis

• Foundations of Mathematical Analysis - Richard Johnsonbaugh, W.E. Pfaffenberger.

• Understanding Analysis - Stephen Abbott.

• Calculus - Gilbert Strang.

• Differential Equations: An Introduction to Modern Methods and Applications - James R. Brannan, William E. Boyce.

• The Manga Guide to Calculus - Hiroyuki Kojima, Shin Togami.

1.3. Probability and Statistics

• A First Course in Probability - Sheldon M. Ross.

• The Manga Guide to Statistics - Shin Takahashi.

1.4. Number Theory

• Number Theory: Structures, Examples, and Problems - Dorin Andrica, Titu Andreescu

1.5. Combinatorics and Discrete Mathematics

• Introduction to Graph Theory - Robin J. Wilson.

• A Path to Combinatorics for Undergraduates - Titu Andreescu, Zuming Feng.

• A Walk Through Combinatorics - Miklos Bona.

1.6. Applied Mathematics

• Mathematics for Machine Learning - Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong.

• Convex Optimization - Stephen Boyd, Lieven Vandenberghe.

• A First Course in Mathematical Modeling - Frank R. Giordano, William P. Fox, Steven B. Horton.

• Mathematics for Computer Science - MIT.

• Convex Optimization - Stephen Boyd, Lieven Vandenberghe.

• The Manga Guide to Cryptography - Masaaki Mitani, Shinichi Sato, Idero Hinoki.

• The Manga Guide to Regression Analysis - Shin Takahashi, Iroha Inoue.

• The Code Book - Simon Singh.

• The Signal and the Noise - Nate Silver.

1.7. Olympiad Mathematics

• Putnam and Beyond - Razvan Gelca, Titu Andreescu.

• Problems from The Book - Titu Andreescu, Gabriel Dospinescu.

• Problem-Solving Strategies - Arthur Engel.

• 101 Problems in Algebra - Titu Andreescu, Zuming Feng.

• 102 Combinatorics Problems - Titu Andreescu, Zuming Feng.

• 103 Trigonometry Problems - Titu Andreescu, Zuming Feng.

• 104 Number Theory Problems - Titu Andreescu, Zuming Feng.

2. Blogs

• David Richeson: Division by Zero.

• Tanya Khovanova’s Math Blog.

• Gowers’s Weblog.

• Combinatorics and More.