Challenge Your Student to Reach Their Fullest Academic Potential
Learn from the leaders in advanced math, alongside outstanding classmates, with interactive online math for students grades 5–12.
Welcome to the world of AoPS Online: A world filled with challenging problems that require creativity and persistence to solve. A world where students learn from impressive mentors and role model instructors. A world filled with inspiring peers who share their love of learning.
Our advanced math curriculum stretches students to their fullest potential. And the connections students make in the AoPS classroom and online community last a lifetime.
More Than Online Math:
A Creative Problem Solving Community–12.
Math Books
AoPS offers our advanced math books in both online and paperback format. Our comprehensive math curriculum covers prealgebra all the way through contest prep math.
Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.
《Prealgebra》预备代数为代数学习做好准备，并教授学生解决问题的技巧，为他们参加著名的中学数学竞赛（如 MATHCOUNTS、MOEMS 和 AMC 8）做好准备。
A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more!
为 6-9 年级学生全面介绍代数主题，例如线性方程、比率、二次方程、特殊分解、复数、绘制线性和二次方程、线性和二次不等式、函数、多项式、指数和对数、绝对值、序列和系列等等！
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
为 7-10 年级的学生全面介绍计数和概率主题，例如排列、组合、帕斯卡三角形、几何概率、基本组合恒等式、二项式定理等。
A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.
为 7-10 年级学生提供的具有挑战性的几何完整课程，包括相似三角形、全等三角形、四边形、多边形、圆形、时髦面积、点的幂、三维几何、变换、三角学入门等主题。
A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
为 7-10 年级的学生全面介绍数论，例如素数和合数、倍数和除数、素数分解及其用途、基数、模算术、整除规则、线性同余、如何培养数感以及更多的。
comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.
一本涵盖代数 2 和初级微积分主题的综合教科书。本书是广受好评的代数导论教科书的后续版本。除了提供标准的代数 2 和初级微积分课程外，本书还包括高级主题，例如在 AMC 和 AIME 竞赛中取得成功所需的问题解决策略。
An intermediate textbook in counting and probability for students in grades 9-12, containing topics such as inclusion-exclusion, recursion, conditional probability, generating functions, graph theory, and more.
面向 9-12 年级学生的计数和概率中级教科书，包含排除、递归、条件概率、生成函数、图论等。
A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions.
涵盖初级微积分内容的综合教科书。具体包括三角学、复数、向量和矩阵。包括 AIME 和 USAMO 比赛中的许多问题。
A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations.
一本涵盖单变量微积分的综合教科书。具体包括极限、连续性、导数、积分、幂级数、平面曲线和微分方程。
A classic problem solving textbook for students in grades 7-10 who are preparing for contests like MATHCOUNTS and the AMC 8/10/12.
一本经典的问题解决教科书，适合 7-10 年级正在准备 MATHCOUNTS 和 AMC 8/10/12 等竞赛的学生。
A classic problem solving textbook for students in grades 9-12 who are preparing for advanced high school contests like the AMC 12, AIME, and the Harvard-MIT Mathematics Tournament.
一本经典的问题解决教材，适合 9 至 12 年级正在准备 AMC 12、AIME 和哈佛-麻省理工学院数学锦标赛等高级高中竞赛的学生。