Explore mathematical ideas, proof, problem solving, puzzles and mathematical stories.
25 books · Individual book links below
50 Maths Ideas You Really Need to Know
Short introductions to a broad range of mathematical ideas.
Alex’s Adventures in Numberland
Mathematics explored through stories and real-world examples.
Book of Proof
An introduction to logic, sets and proof for extension work and further study.
Building Confidence in Maths Problem Solving — Volume 1
Graded problems with illustrated solutions and alternative strategies. A practical resource for building confidence in classroom problem solving.
ISBN 9780975731659
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Building Confidence in Maths Problem Solving — Volume 2
Further problems from the Maths Games program, sequenced by difficulty with worked strategies that extend and consolidate the learning in Volume 1.
ISBN 9780975731673
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Creative Problem Solving in School Mathematics
Teaching approaches, problem-solving strategies and non-routine tasks in number, geometry, measurement and logic, with detailed solutions.
ISBN 9780975731611
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Enrichment Mathematics for Secondary Students — Volume 1
Build mathematical understanding through worked examples, graduated exercises and extension problems, broadly aimed at Years 7–8. Suitable for classroom enrichment and independent study.
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Enrichment Mathematics for Secondary Students — Volume 2
Develop mathematical reasoning through challenging problems on functions, trigonometry, combinatorics, probability and other topics, broadly aimed at Years 9–10. Suitable for classroom enrichment and independent study.
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The World’s Most Famous Math Problem: The Proof of Fermat’s Last Theorem and Other Mathematical Mysteries
A short historical account of Fermat’s Last Theorem and the excitement surrounding Andrew Wiles’s 1993 announcement. Published before the final proof was completed.
1993 · Paperback · ISBN 9780312106577
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Flatland: A Romance of Many Dimensions
A mathematical story exploring dimensions through an imagined geometric world.
How to Think Like a Mathematician
Logical thinking, definitions and proof for senior extension and the transition to university mathematics.
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How to Win: A Mathematical Approach to Games and Puzzles
Explore mathematical strategies for games and puzzles, including Wordle, sudoku and the Rubik’s Cube. Ideas for enrichment, problem solving and mathematical thinking.
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Paid book · Publisher currently lists Australian hardback pre-orders.
Infinite Powers: How Calculus Reveals the Secrets of the Universe
The history and ideas of calculus, with examples of how it helps us understand the world.
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The Joy of x
An accessible exploration of mathematical ideas and their connections to everyday life.
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Mathematical Recreations and Essays
A historical collection of mathematical puzzles, recreations and essays.
Maths Olympiad Contest Problems — Volume 1
Olympiad problems from before 1996, with hints and worked solutions. Useful for enrichment, maths clubs and competition preparation.
ISBN 9780975731604
Maths Olympiad Contest Problems — Volume 2
425 problems from the 1996–2005 APSMO Olympiads, with step-by-step solutions, strategies and an index by problem type.
ISBN 9780975731628
Maths Olympiad Contest Problems — Volume 3
400 problems from the 2006–2013 APSMO Olympiads, with solutions, hints and extension questions for mathematical enrichment.
ISBN 9780975731635
Maths Olympiad Contest Problems — Volume 4
Australian Olympiad papers from 2014–2017 and US papers from 2013/14–2016/17. Includes hints, strategies and multiple solution methods.
ISBN 9780975731642
Maths Olympiad Contest Problems — Volume 5
Questions and answers from the 2018–2022 Australian Maths Olympiads. A resource for preparing students and developing non-routine problem solving.
ISBN 9780975731666
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The Number Devil
A story-led introduction to mathematical curiosity.
The Principia: Mathematical Principles of Natural Philosophy
Newton’s mathematical treatment of motion and universal gravitation. A historical text for advanced reading and exploring the development of mathematical physics.
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A Tangled Tale
Mathematical puzzles presented through short stories, with solutions.
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Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving
Estimation, dimensional analysis and approximation for unfamiliar problems. Useful for teachers and advanced students; includes examples beyond secondary mathematics.
The Art of Insight in Science and Engineering: Mastering Complexity
Reasoning tools for simplifying complex problems through estimation, symmetry, scaling and physical models. Some science and engineering examples extend beyond secondary study.
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