Need Help?

Need help finding a book? Have questions about particular items?

Click here to Ask AoPS!

Recommendations

Curriculum Map

Below is the "map" of all of our textbooks. Click on any book title to learn more about it.

Core Subject Books Other Subject Books Contest Prep Books

Elementary (Grades 1-5)

Introductory (Grades 5-10)

Intermediate (Grades 8-12)

Advanced

Beast Academy Prealgebra Intro to Algebra Intro Counting & Probability Intro Geometry Intermediate Algebra Precalculus Calculus

Intro Number Theory Intermediate Count & Prob

AoPS, Volume 1: the Basics AoPS, Volume 2: and Beyond

Comp Math for Middle School

The top row of the map consists of our core curriculum, which parallels the standard prealgebra-to-calculus school curriculum, but in much greater depth both in mathematical content and in problem-solving skills. We recommend that students proceed through our core curriculum in left-to-right order, supplementing with non-core books as desired.

Still unsure? Please contact us for a specific recommendation.

Curriculum Recommendations

The Art of Problem Solving mathematics curriculum is specifically designed for high-performing math students. Our texts not only introduce key results of mathematics, but also teach students how to develop new ideas themselves and how to apply these ideas to challenging problems. In so doing, we help students learn the key problem solving skills needed for success in top universities and in the most competitive careers.

If you still don't know which book to choose after reading the recommendations below, then click here to receive a personalized recommendation from AoPS staff.

Our Beast Academy elementary school curriculum is currently available for students in grades 1 through 5.

$ 27.00

ARE YOU READY? Introduction: Table of Contents One Hundred: 44-47 100 Chart: 52-55 Reflections: 100-103 More or Less: 142-145 Comparing: 152-155

Beast Academy 1A

Jason Batterson. Illustrated by Erich Owen and Sarah Leuver.

Paperback

216 pages.

Beast Academy 1A is the first part in a four-part series for students ages 6–8. Level 1A includes chapters on counting, shapes, and comparing.

$ 27.00

ARE YOU READY? Introduction: Table of Contents Strategies: 34-37 Pairs: 42-45 Difference: 120-123 Categories: 178-181 Circle Diagrams: 188-191

Beast Academy 1B

Jason Batterson. Illustrated by Erich Owen and Sarah Leuver.

Paperback

240 pages.

Beast Academy 1B is the second part in a four-part series for students ages 6–8. Level 1B includes chapters on addition, subtraction, and categories.

$ 27.00

ARE YOU READY? Introduction: Table of Contents Sum Grids: 64-57 Tens and Ones: 68-71 Sums: 76-79 Expressions: 100-103 Comparing: 108-111

Beast Academy 1C

Jason Batterson. Illustrated by Erich Owen and Sarah Leuver.

Paperback

248 pages.

Beast Academy 1C is the third part in a four-part series for students ages 6–8. Level 1C includes chapters on addition & subtraction, comparison, and patterns.

$ 27.00

ARE YOU READY? Introduction: Table of Contents Beyond 100: 24-27 Length: 88-91 Measurement: 108-111 Order: 174-177 Problem Solving: 184-187

Beast Academy 1D

Jason Batterson. Illustrated by Erich Owen and Sarah Leuver.

Paperback

240 pages.

Beast Academy 1D is the fourth part in a four-part series for students ages 6–8. Level 1D includes chapters on big numbers, measurement, and problem solving.

$ 10.00

Introduction, Contents & Use Turn Mazes Puzzles & Solutions Turn Mazes Strategies Deka Dots Puzzles & Solutions Deka Dots Strategies

Beast Academy Puzzles 1

Chris Page, Jason Batterson, and Anderson Wang. Book design by Doğa Arı.

Paperback

224 Pages.

Beast Academy Puzzles 1 contains over 500 puzzles in 12 different styles that will delight puzzle solvers ages 7 and up. It can be used by itself or as a supplement to the full Beast Academy level 1 curriculum.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 24-27 Guide: 76-79 Practice: 14-17 Practice: 54-57 Practice: 74-77

Beast Academy 2A

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 96 pages. Practice: 136 pages.

Beast Academy Guide 2A and its companion Practice 2A are the first part in a four-part series for students ages 7–9. Level 2A includes chapters on place value, comparing numbers, and addition.

Guide and Practice $ 30.00

ARE YOU READY? Table of Contents Guide: 68-71 Guide: 76-78 Practice: 13-15 Practice: 49-52 Practice: 96-99

Beast Academy 2B

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 160 pages.

Beast Academy Guide 2B and its companion Practice 2B are the second part in a four-part series for students ages 7–9. Level 2B includes chapters on subtraction, expressions, and problem solving.

Guide and Practice $ 30.00

ARE YOU READY? Table of Contents Guide: 14-17 Guide: 96-99 Practice: 16-17 Practice: 52-55 Practice: 62-65

Beast Academy 2C

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 152 pages.

Beast Academy Guide 2C and its companion Practice 2C are the third part in a four-part series for students ages 7–9. Level 2C includes chapters on measurement, addition and subtraction strategies, and odds & evens.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 31-35 Guide: 82-85 Practice: 12-13 Practice: 48-51 Practice: 86-89

Beast Academy 2D

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy Guide 2D and its companion Practice 2D are the fourth part in a four-part series for students ages 7–9. Level 2D includes chapters on big numbers, algorithms, and problem solving.

$ 10.00

Introduction Numbercross Puzzles Numbercross Strategies Sum Blobs Puzzles Sum Blobs Strategies

Beast Academy Puzzles 2

Chris Page, Palmer Mebane, and Jason Batterson. Book design by Doğa Arı.

Paperback

200 pages.

Beast Academy Puzzles 2 contains over 400 puzzles in 12 different styles that will delight puzzle solvers ages 7 and up. It can be used by itself or as a supplement to the full Beast Academy level 2 curriculum.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 26-29 Guide: 56-58 Practice: Contents Practice: 15-16 Practice: 59-62

Beast Academy 3A

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 128 pages.

Beast Academy Guide 3A and its companion Practice 3A are the first part in a four-part series for students ages 8–10. Level 3A includes chapters on shape classification, skip-counting, and perimeter and area.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 58-61 Guide: 78-81 Practice: Contents Practice: 51-53 Practice: 78-80

Beast Academy 3B

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 128 pages.

Beast Academy Guide 3B and its companion Practice 3B are the second part in a four-part series for students ages 8–10. Level 3B includes chapters on multiplication, perfect squares, and the distributive property.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 36-38 Guide: 86-89 Practice: 26-28 Practice: 50-52 Practice: 79-81

Beast Academy 3C

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 144 pages.

Beast Academy Guide 3C and its companion Practice 3C are the third part in a four-part series for students ages 8–10. Level 3C includes chapters on variables, division, and units and measure.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 17-21 Guide: 54-56 Guide: 88-90 Practice: 7-10 Practice: 53-56 Practice: 88-91

Beast Academy 3D

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy Guide 3D and its companion Practice 3D are the fourth part in a four-part series for students ages 8–10. Level 3D includes chapters on fractions, estimation, and area.

$ 10.00

Introduction Fillominoes Puzzles Fillominoes Strategies Abstract Art Puzzles Abstract Art Strategies

Beast Academy Puzzles 3

Chris Page, Mark Richard, Palmer Mebane, and Jason Batterson. Book design by Doğa Arı.

Paperback

216 pages.

Beast Academy Puzzles 3 contains nearly 500 puzzles in 12 different styles that will delight puzzle solvers ages 9 and up. It can be used by itself or as a supplement to the full Beast Academy level 3 curriculum.

$ 48.00

Introduction Adaptations Air Resistance Forage Game Precipitation The Atmosphere

Beast Academy Science 3A

Jason Batterson and Stephanie Sadrian. Book design by Doğa Arı. Comic illustrations by Erich Owen and Sarah Leuver.

Paperback

352 Pages.

Beast Academy Science 3A is the first part in a two-part series for students 8-10. Level 3A includes chapters on motion, weather, and survival.

$ 48.00

Introduction Rocket Science Fermentation Acceleration Classification Cells

Beast Academy Science 3B

Jason Batterson and Stephanie Sadrian. Book design by Doğa Arı. Comic illustrations by Erich Owen and Sarah Leuver.

Paperback

368 Pages.

Beast Academy Science 3B is the second part in a two-part series for students 8-10. Level 3B includes chapters on forces, the atmosphere, and traits.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 15-18 Guide: 93-97 Practice: 16-19 Practice: 42-45 Practice: 81-84

Beast Academy 4A

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 176 pages.

Beast Academy Guide 4A and its companion Practice 4A are the first part in a four-part series for students ages 9–12. Level 4A includes chapters on shapes, multiplication, and exponents.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 19-22 Guide: 90-93 Practice: 13-16 Practice: 58-61 Practice: 76-79

Beast Academy 4B

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 152 pages.

Beast Academy Guide 4B and its companion Practice 4B are the second part in a four-part series for students ages 9–12. Level 4B includes chapters on counting, division, and logic.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 58-62 Guide: 94-97 Practice: 20-23 Practice: 48-51 Practice: 84-87

Beast Academy 4C

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 168 pages.

Beast Academy Guide 4C and its companion Practice 4C are the third part in a four-part series for students ages 9–12. Level 4C includes chapters on factors, fractions, and integers.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 32-35 Guide: 84-88 Practice: 28-31 Practice: 50-53 Practice: 82-85

Beast Academy 4D

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 152 pages.

Beast Academy Guide 4D and its companion Practice 4D are the fourth part in a four-part series for students ages 9–12. Level 4D includes chapters on fractions, decimals, and probability.

$ 10.00

Introduction Dot Puzzles Puzzles Dot Puzzles Strategies Factor Cave Puzzles Factor Cave Strategies

Beast Academy Puzzles 4

Chris Page, Anderson Wang, Palmer Mebane, and Jason Batterson. Book design by Doğa Arı.

Paperback

224 pages.

Beast Academy Puzzles 4 contains over 500 puzzles in 12 different styles that will delight puzzle solvers ages 10 and up. It can be used by itself or as a supplement to the full Beast Academy level 4 curriculum.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 26-29 Guide: 90-93 Practice: 8-11 Practice: 46-49 Practice: 74-77

Beast Academy 5A

Jason Batterson, Shannon Rogers, Kyle Guillet. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy Guide 5A and its companion Practice 5A are the first part in a four-part series for students ages 10–13. Level 5A includes chapters on 3D solids, integers, and expressions & equations.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 26-30 Guide: 84-87 Practice: 14-17 Practice: 36-39 Practice: 76-78

Beast Academy 5B

Jason Batterson, Shannon Rogers, Kyle Guillet. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy Guide 5B and its companion Practice 5B are the second part in a four-part series for students ages 10–13. Level 5B includes chapters on statistics, factors & multiples, and fractions.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 28-31 Guide: 58-61 Practice: 12-15 Practice: 46-49 Practice: 84-85

Beast Academy 5C

Jason Batterson. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 160 pages.

Beast Academy Guide 5C and its companion Practice 5C are the third part in a four-part series for students ages 10–13. Level 5C includes chapters on sequences, ratios & rates, and decimals.

Guide and Practice $ 30.00

ARE YOU READY? Guide: Contents Guide: 19-21 Guide: 48-50 Practice: 18-20 Practice: 44-47 Practice: 70-73

Beast Academy 5D

Jason Batterson, Shannon Rogers, Kyle Guillet, and Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 144 pages.

Beast Academy Guide 5D and its companion Practice 5D are the fourth part in a four-part series for students ages 10–13. Level 5D includes chapters on percents, square roots, and exponents.

Students who have completed an elementary school curriculum but have not taken a Prealgebra (or equivalent) course should start with Prealgebra. Students who have worked with square roots, basic variable expressions such as 2x + 3, and basic linear equations such as the equation 2x + 7 = 23, but who have not taken an Algebra 1 course or an equivalent, may be ready to move on to Introduction to Algebra.

Text and Solutions $ 59.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Prealgebra

Richard Rusczyk, David Patrick, Ravi Boppana

Paperback

Text: 608 pages. Solutions: 224 pages.

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. The text is written to challenge students at a much deeper level than a traditional middle school prealgebra course.
Related courses: Prealgebra 1 and Prealgebra 2

Text and Solutions $ 67.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Introduction to Algebra

Richard Rusczyk

Paperback (2nd edition)

Text: 656 pages. Solutions: 312 pages.

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!
Related courses: Introduction to Algebra A and Introduction to Algebra B

Students who have completed a basic algebra course (such as a typical school Algebra 1 course) are ready for most of our Introduction series. Consider a break from algebra with Introduction to Counting & Probability and/or Introduction to Number Theory. Our Introduction to Algebra text goes well beyond the typical algebra curriculum, so you might consult the text's diagnostic post-test to see if your student might need to spend some time with Introduction to Algebra before continuing to Introduction to Geometry. Introduction to Geometry is the most challenging of the Introduction-level books.

Text and Solutions $ 67.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Introduction to Algebra

Richard Rusczyk

Paperback (2nd edition)

Text: 656 pages. Solutions: 312 pages.

Text and Solutions $ 49.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Counting & Probability

David Patrick

Paperback (2nd edition)

Text: 256 pages. Solutions: 120 pages.

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.
Related course: Introduction to Counting and Probability

Text and Solutions $ 65.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Geometry

Richard Rusczyk

Paperback (2nd edition)

Text: 557 pages. Solutions: 226 pages.

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.
Related course: Introduction to Geometry

Text and Solutions $ 55.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Number Theory

Mathew Crawford

Paperback

Text: 336 pages. Solutions: 144 pages.

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.
Related course: Introduction to Number Theory

Students without discrete math experience might start with our Introduction to Counting & Probability text before moving on to our Intermediate series of books. Intermediate Algebra should be completed before Precalculus, which should precede Calculus. The Intermediate Counting & Probability book is appropriate at any point in the sequence after Intermediate Algebra.

Text and Solutions $ 49.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Counting & Probability

David Patrick

Paperback (2nd edition)

Text: 256 pages. Solutions: 120 pages.

Text and Solutions $ 74.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Intermediate Algebra

Richard Rusczyk and Mathew Crawford

Paperback

Text: 720 pages. Solutions: 336 pages.

A 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.
Related course: Intermediate Algebra

Text and Solutions $ 62.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Precalculus

Richard Rusczyk

Paperback (2nd edition)

Text: 528 pages. Solutions: 272 pages.

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.
Related course: Precalculus

Text and Solutions $ 56.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Index

Intermediate Counting & Probability

David Patrick

Paperback

Text: 400 pages. Solutions: 208 pages.

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.
Related course: Intermediate Counting and Probability

Text and Solutions $ 59.00

ARE YOU READY? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Calculus

David Patrick

Paperback (2nd edition)

Text: 336 pages. Solutions: 128 pages.

A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations.
Related course: Calculus

Contest Preparation Recommendations

Art of Problem Solving materials have been a key component in the success of many winners of major national and international math competitions. We integrate challenging problems from contests such as MATHCOUNTS, AMC 8/10/12, AIME and the USA(J)MO throughout our books. Moreover, we offer books compiled by the organizers of various major contests.

Math Olympiads in the Elementary and Middle Schools spans grades 4-8, and offers a nice supplement to any elementary school curriculum. Creative Problem Solving in School Mathematics offers lessons and problems, while the other two books listed below offer problems and solutions from past contests.

$ 37.95

MOEMS Contest Problems: Volume 2

Richard Kalman, Ed.

Paperback

309 pages.

A collection of 425 problems of the Math Olympiads for Elementary and Middle Schools contests, with hints, complete solutions, and problem solving lessons. Ideal for beginners grades 4-8.

$ 39.95

MOEMS Contest Problems: Volume 3

Richard Kalman & Nicholas J. Restivo, Eds.

Paperback

294 pages.

A collection of 400 problems of the Math Olympiads for Elementary and Middle Schools contests from 2005-2013, with hints, complete solutions, and problem solving lessons. Ideal for beginners grades 4-8.

The Art of Problem Solving Introduction series offers both a full math curriculum and problem solving training for middle school and beginning high school math contests. Over 1000 problems from major contests are included among the AoPS series of books. Our Art of Problem Solving Volume 1 and Competition Math for Middle School are designed specifically for contest preparation, and we also offer books published by MATHCOUNTS.

Text and Solutions $ 59.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Prealgebra

Richard Rusczyk, David Patrick, Ravi Boppana

Paperback

Text: 608 pages. Solutions: 224 pages.

Text and Solutions $ 67.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Introduction to Algebra

Richard Rusczyk

Paperback (2nd edition)

Text: 656 pages. Solutions: 312 pages.

Text and Solutions $ 49.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Counting & Probability

David Patrick

Paperback (2nd edition)

Text: 256 pages. Solutions: 120 pages.

Text and Solutions $ 65.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Geometry

Richard Rusczyk

Paperback (2nd edition)

Text: 557 pages. Solutions: 226 pages.

Text and Solutions $ 55.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Number Theory

Mathew Crawford

Paperback

Text: 336 pages. Solutions: 144 pages.

Text and Solutions $ 47.00

Table of Contents Excerpt 1 Excerpt 2 Index

Volume 1

Sandor Lehoczky and Richard Rusczyk

Paperback (7th edition)

Text: 288 pages. Solutions: 144 pages.

A classic problem solving textbook for students in grades 7-10 who are preparing for contests like MATHCOUNTS and the AMC 8/10/12.
Related courses: MATHCOUNTS/AMC 8 Advanced and AMC 10 Problem Series

$ 29.50

Table of Contents Excerpt 1 Excerpt 2

Competition Math for Middle School

Jason Batterson

Paperback

390 pages.

Contains over 700 examples and problems in the areas of Algebra, Counting, Probability, Number Theory, and Geometry. Examples and full solutions present clear concepts and provide helpful tips and tricks.
Related course: MATHCOUNTS/AMC 8 Basics

$ 35.00

Practice Competitions for MATHCOUNTS

Josh Frost

Paperback

128 pages.

A collection of 4 complete practice competitions (including Sprint, Target, and Team rounds) for MATHCOUNTS. Includes full solutions to every problem.

$ 35.00

Practice Competitions for MATHCOUNTS Volume 2

Josh Frost

Paperback

144 pages.

A collection of 4 complete practice competitions (including Sprint, Target, and Team rounds) for MATHCOUNTS. Includes full solutions to every problem.

In addition to offering a full curriculum for middle school and early high school students, the Art of Problem Solving Introduction series provides training for early high school contests such as the AMC 10. Meanwhile, our Intermediate series delivers a full curriculum for high school students alongside training for more advanced contests, such as the AIME and the Harvard-MIT Tournament.

Our classic Art of Problem Solving Volume 1 and Volume 2 have helped prepare students for major high school contests for over 20 years. We also offer books published by the Mathematical Association of America, which administers the AMC, and the Mandelbrot Competition.

Text and Solutions $ 67.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Introduction to Algebra

Richard Rusczyk

Paperback (2nd edition)

Text: 656 pages. Solutions: 312 pages.

Text and Solutions $ 49.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Counting & Probability

David Patrick

Paperback (2nd edition)

Text: 256 pages. Solutions: 120 pages.

Text and Solutions $ 65.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Geometry

Richard Rusczyk

Paperback (2nd edition)

Text: 557 pages. Solutions: 226 pages.

Text and Solutions $ 55.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Number Theory

Mathew Crawford

Paperback

Text: 336 pages. Solutions: 144 pages.

Text and Solutions $ 74.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Intermediate Algebra

Richard Rusczyk and Mathew Crawford

Paperback

Text: 720 pages. Solutions: 336 pages.

Text and Solutions $ 56.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Index

Intermediate Counting & Probability

David Patrick

Paperback

Text: 400 pages. Solutions: 208 pages.

Text and Solutions $ 62.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Precalculus

Richard Rusczyk

Paperback (2nd edition)

Text: 528 pages. Solutions: 272 pages.

Text and Solutions $ 47.00

Table of Contents Excerpt 1 Excerpt 2 Index

Volume 1

Sandor Lehoczky and Richard Rusczyk

Paperback (7th edition)

Text: 288 pages. Solutions: 144 pages.

Text and Solutions $ 49.00

Table of Contents Excerpt 1 Excerpt 2 Index

Volume 2

Richard Rusczyk and Sandor Lehoczky

Paperback (7th edition)

Text: 320 pages. Solutions: 184 pages.

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.
Related courses: AMC 12 Problem Series, AIME Problem Series A, and AIME Problem Series B

$ 51.00

Contest Problem Book IX

David Wells and J. Douglas Faires

Paperback

230 pages.

Past problems with complete solutions from the American Mathematics Competitions 12 (AMC 12), which is one of the first tests in the series of contests that determines the United States International Math Olympiad team. This book includes all AMC 12 tests from 2001-2007.

$ 25.00

Mandelbrot Morsels

Sam Vandervelde

Paperback

180 pages.

Past problems with complete solutions from The Mandelbrot Competition 2002-09. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

$ 23.00

The Mandelbrot Problem Book

Sam Vandervelde

Paperback

148 pages.

Past problems with complete solutions from years 1995-2002 of The Mandelbrot Competition. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

$ 20.00

The First Five Years

Sam Vandervelde

Spiralbound

112 pages.

Past problems with complete solutions from the first five years (1990-95) of The Mandelbrot Competition. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

National high school olympiads target the most experienced high school students in their respective countries. For example, the USA(J)MO in the United States is an invitational exam given to roughly 500 high scorers on preliminary contests. Our Intermediate series is useful for students just getting started with olympiads, and we offer several books from Titu Andreescu and the United Kingdom Mathematics Trust that target Olympiad students.

Text and Solutions $ 74.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Intermediate Algebra

Richard Rusczyk and Mathew Crawford

Paperback

Text: 720 pages. Solutions: 336 pages.

Text and Solutions $ 56.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Index

Intermediate Counting & Probability

David Patrick

Paperback

Text: 400 pages. Solutions: 208 pages.