Math Books - AOPS Recommended.pdf

Math books These Math books are recommended by Art of Problem Solving administrators Solving  administrators and members of the AoPS-MathLinks Community. Community. Levels of reading and math ability are loosely defined as follows: Elementary is for elementary school students up through possibly early middle school. Getting Started is recommended for students grades 6 to 9. Intermediate is recommended for students grades 9 to 12. Olympiad is recommended for high school students who are already studying math at an undergraduate level. Collegiate is recommended for college and university students. More advanced topics are often left with the above levels unassigned.

Books by subject  Algebra Getting Started AoPS publishes Richard Rusczyk's Introduction to Algebra textbook, which is recommended for advanced elementary, middle, and high school students.

Intermediate Algebra by I.M. Gelfand and Alexander Shen. 101 Problems in Algebra from the Training of the US IMO Team by Titu Andreescu and Zuming Feng AoPS publishes Richard Rusczyk's and Mathew Crawford's Intermediate Algebra textbook, which is recommended for advanced middle and high school students. Complex Numbers from A to... Z by Titu Andreescu

 Analysis Counterexamples in Analysis by Bernard R. Gelbaum and John M. H. Olmsted.

Calculus High School Calculus by Michael Spivak. Top students swear by this book. The Hitchhiker's Guide to Calculus by Michael Spivak. AP Calculus Problems and Solutions Part II AB and BC -- A fantastic resource for students mastering the material required for the AP exam.

Collegiate Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus by Michael Spivak.

Combinatorics Getting Started AoPS publishes Dr. David Patrick's Introduction to Counting & Probability textbook, which is recommended for advanced middle and high school students.

Intermediate AoPS publishes Dr. David Patrick's Intermediate Counting & Probability textbook, which is recommended for advanced middle and high school students. Mathematics of Choice by Ivan Niven. 102 Combinatorial Problems by Titu Andreescu and Zuming Feng. A Path to Combinatorics for Undergraduates: Counting Strategies by Titu Andreescu and Zuming Feng.

Olympiad 102 Combinatorial Problems by Titu Andreescu and Zuming Feng. Generatingfunctionology

Collegiate Enumerative Combinatorics, Volume 1 by Richard Stanley. Enumerative Combinatorics, Volume 2 by Richard Stanley. A First Course in Probability by Sheldon Ross

Geometry Getting Started AoPS publishes Richard Rusczyk's Introduction to Geometry textbook, which is recommended for advanced middle and high school students.

Intermediate Challenging Problems in Geometry -- A good book for students who already have a solid handle on elementary geometry. Geometry Revisited -- A classic.

Olympiad Geometry Revisited -- A classic. Geometry of Complex Numbers by Hans Schwerfdtfeger. Geometry: A Comprehensive Course by Dan Pedoe. Non-Euclidean Geometry by H.S.M. Coxeter. Projective Geometry by H.S.M. Coxeter.

Geometric Transformations I, Geometric Transformations II, and Geometric Transformations III by I. M. Yaglom.

Collegiate Geometry of Complex Numbers by Hans Schwerfdtfeger. Geometry: A Comprehensive Course by Dan Pedoe. Non-Euclidean Geometry by H.S.M. Coxeter. Projective Geometry by H.S.M. Coxeter.

Inequalities Intermediate Introduction to Inequalities Geometric Inequalities

Olympiad The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities by J. Michael Steele. Problem Solving Strategies by Arthur Engel contains significant material on inequalities. Titu Andreescu's Book on Geometric Maxima and Minima Topics in Inequalities by Hojoo Lee Olympiad Inequalities by Thomas Mildorf A