Recommendations for High School Students

Books for beginning high school problem solvers

Art of Problem Solving Introduction Series

The Art of Problem Solving Introduction Series constitutes a complete curriculum for outstanding math students in grades 6-10. The four books in the series together give students a solid background in basic problem-solving mathematics.

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Table of Contents Excerpt Index	Introduction to Algebra by Richard Rusczyk 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! ISBN: 978-1-934124-01-7 Text: 656 pages. Solutions: 312 pages. Paperback. 10 7/8 x 8 3/8 x 1 3/16 inches. Item(s) Price Quantity Introduction to Algebra:Textbook & Solutions Manual $59.00
Table of Contents Excerpt Index	Introduction to Counting & Probability by David Patrick 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. ISBN: 978-1-934124-10-9 Text: 256 pages. Solutions: 120 pages. Paperback. 10 7/8 x 8 3/8 x 1/2 inches. Item(s) Price Quantity Introduction to Counting & Probability: Textbook & Solutions Manual $39.00
Table of Contents Excerpt Index	Introduction to Number Theory by Mathew Crawford 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, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more. ISBN: 978-0-9773045-4-7 Text: 336 pages. Solutions: 144 pages. Paperback. 10 7/8 x 8 3/8 x 5/8 inches. Item(s) Price Quantity Introduction to Number Theory: Textbook & Solutions Manual $44.00
Table of Contents Excerpt Index	Introduction to Geometry New 2nd edition! by Richard Rusczyk A thorough introduction for students in grades 7-10 to geometry topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, and more. ISBN: 978-1-934124-08-6 Text: 557 pages. Solutions: 226 pages. Paperback. 10 7/8 x 8 3/8 x 1 1/16 inches. Item(s) Price Quantity Introduction to Geometry: Textbook & Solutions Manual $54.00

Art of Problem Solving classic textbooks

The classic Art of Problem Solving texts have been used by many of the top students and programs in the United States since 1993. The texts offer a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competitions. Volume 1 is for beginning students.

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Table of Contents Excerpt Index

the Art of Problem Solving, Volume 1: the Basics 7th Edition - New look! by Sandor Lehoczky and Richard Rusczyk A classic problem solving textbook for students in grades 7-10. Used by many successful MATHCOUNTS and AMC participants. ISBN: 978-0-9773045-6-1 Text: 288 pages. Solutions: 144 pages. Paperback. 10 7/8 x 8 3/8 x 9/16 inches. Item(s) Price Quantity the Art of Problem Solving: Volumes 1 & 2, with Solutions $79.00 the Art of Problem Solving: Volumes 1 & 2 (Texts only) $62.00 the Art of Problem Solving, Volume 1: Text & Solutions $42.00

Books for advanced high school problem solvers

Art of Problem Solving Intermediate Series

The Art of Problem Solving Intermediate Series continues where our Introduction Series leaves off. The books in the intermediate series will give students an in-depth exploration of advanced high school problem-solving mathematics and prepare them for prestigious competitions such as ARML and the American Mathematics Competitions.

For more information, see our Users Guide to our Art of Problem Solving textbooks.

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Table of Contents Excerpt Index

Intermediate Algebra NEW! by Richard Rusczyk and Mathew Crawford 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. ISBN: 978-1-934124-04-8 Text: 720 pages. Solutions: 336 pages. Paperback. 10 7/8 x 8 3/8 x 1 3/8 inches. Item(s) Price Quantity Intermediate Algebra: Textbook & Solutions Manual $64.00

Table of Contents Excerpt Index

Intermediate Counting & Probability by David Patrick 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. ISBN: 978-1-934124-06-2 Text: 400 pages. Solutions: 208 pages Paperback. 10 7/8 x 8 3/8 x 3/4 inches. Item(s) Price Quantity Intermediate Counting & Probability: Textbook & Solutions Manual $47.00

Art of Problem Solving classic textbooks

The classic Art of Problem Solving texts have been used by many of the top students and programs in the United States since 1993. The texts offer a challenging exploration of problem solving mathematics and preparation for programs such as the American Mathematics Competitions. Volume 2 is for more advanced students.

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Table of Contents Excerpt Index

the Art of Problem Solving, Volume 2: and Beyond 7th Edition - New look! by Richard Rusczyk and Sandor Lehoczky A classic problem solving textbook for students in grades 9-12. Used by many successful AMC participants, USAMO qualifiers and Math Olympiad Program invitees. ISBN: 978-0-9773045-8-5 Text: 320 pages. Solutions: 184 pages. Paperback. 10 7/8 x 8 3/8 x 5/8 inches. Item(s) Price Quantity the Art of Problem Solving: Volumes 1 & 2, with Solutions $79.00 the Art of Problem Solving: Volumes 1 & 2 (Texts only) $62.00 the Art of Problem Solving, Volume 2: Text & Solutions $45.00

Books for Olympiad-level problem solving

The books listed below are designed for students and instructors preparing for the highest level of high school competitions, such as the United States of America Mathematical Olympiad, or other national or international math olympiads.

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Mathematical Olympiad Challenges by Titu Andreescu and Razvan Gelca A series of articles paired with collections of problems with full solutions designed for students preparing for high-level high school contests such as national olymipads. ISBN: 978-0-8176-4155-9 Item(s) Price Quantity Mathematical Olympiad Challenges $29.95

Books for students preparing for the AMC

American Mathematics Competitions (AMC) books

The American Mathematics Competitions (AMC) produces the series of tests used to determine the United States math team for the International Mathematics Olympiad. The Mathematical Association of America produces a number of AMC books.

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	First Steps for Math Olympians by J. Douglas Faires Lessons, examples, and exercises on topics useful for the AMC 10 and AMC 12. Written by the current director of the AMC 10. Ideal for self study for the AMC exams, and as a teaching resource for instructors developing lessons on various topics. ISBN: 978-0-88385-824-0 307 pages. Hardcover. 9 1/4 x 6 1/4 x 7/8 inches. Item(s) Price Quantity First Steps for Math Olympians $49.50
	Contest Problem Book VII by Harold Reiter Past problems with complete solutions from the American Mathematics Contests (AMC 10 and AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1995-2000, including the 50th Anniversary AHSME issued in 1999. ISBN: 978-0-88385-821-9 183 pages. Paperback. 9 x 6 x 7/16 inches. Item(s) Price Quantity Contest Problem Book VII $47.95
	Contest Problem Book VI by Leo J. Schneider Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1989-1994. ISBN: 978-0-88385-642-0 212 pages. Paperback. 9 x 6 x 1/2 inches. Item(s) Price Quantity Contest Problem Book VI $31.95
	Contest Problem Book V by George Berzsenyi and Stephen B Maurer Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12) and the American Invitational Mathematics Exam (AIME), which are the first two tests in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1983-1988. ISBN: 978-0-88385-640-6 286 pages. Paperback. 9 x 6 x 5/8 inches. Item(s) Price Quantity Contest Problem Book V $37.50
	Contest Problem Book IV by R. A. Artino, A. M. Gaglione and Niel Shell Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1973-1982. ISBN: 978-0-88385-629-1 184 pages. Paperback. 9 x 6 x 1/2 inches. Item(s) Price Quantity Contest Problem Book IV $14.95
	Contest Problem Book III by C. T. Salkind and J. M. Earl Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1966-1972. ISBN: 978-0-88385-625-3 186 pages. Paperback. 9 x 6 x 1/2 inches. Item(s) Price Quantity Contest Problem Book III $14.99
	Contest Problem Book II by C. T. Salkind Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1961-1965. ISBN: 978-0-88385-617-8 112 pages. Paperback. 9 x 6 x 1/4 inches. Item(s) Price Quantity Contest Problem Book II $12.95
	Contest Problem Book I by C. T. Salkind Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1950-1960. ISBN: 978-0-88385-605-5 154 pages. Paperback. 9 x 6 x 5/16 inches. Item(s) Price Quantity Contest Problem Book I $12.95
	USA Mathematical Olympiads 1972-1986 by Murray Klamkin Past problems with complete solutions from the USA Mathematical Olympiad, the test that determines the United States team for the International Mathematical Olympiad. ISBN: 978-0-88385-634-5 127 pages. Paperback. 9 x 6 x 3/8 inches. Item(s) Price Quantity USA Mathematical Olympiads 1972-1986 $19.00

Books for students preparing for the Mandelbrot Competition

Mandelbrot Competiton books

The Mandelbrot Competition consists of a series of both short answer questions and proof questions. The questions are also outstanding practice for high school programs such as the American Mathematics Competitions.

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The First Five Years by Sam Vandervelde Past problems with complete solutions from the first five years 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. ISBN: none 112 pages. Spiralbound. 8 1/2 x 11 x 5/16 inches. Item(s) Price Quantity The First Five Years $20.00

The Mandelbrot Problem Book by Sam Vandervelde 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. ISBN: none 148 pages. Spiralbound. 8 1/2 x 11 x 3/8 inches. Item(s) Price Quantity The Mandelbrot Problem Book $23.00