50 Maths Ideas You Really Need to Know
Short introductions to a broad range of mathematical ideas.
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Mathematics Library
Explore mathematics books, recommended reading and professional learning. Browse all books or select a topic. Free reading and download links take you directly to the book.
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54 books · Free and paid books
Active Calculus — Multivariable
Vectors, multivariable functions, partial derivatives and multiple integrals for advanced study.
Active Calculus — Single Variable
Investigations and exercises on derivatives, integrals and differential equations for senior extension and further study.
Alex’s Adventures in Numberland
Mathematics explored through stories and real-world examples.
ATAR Notes VCE General Maths 3&4 Complete Course Notes (2024–2026)
A revision guide with explanations, formulas and worked examples for General Mathematics SACs and examinations.
2024–2026 edition · Check suitability for your teaching year.
ATAR Notes VCE Maths Methods 3&4 Complete Course Notes (2024–2026)
Explanations and worked examples for revising the Mathematical Methods study design and preparing for SACs and examinations.
2024–2026 edition · Check suitability for your teaching year.
ATAR Notes VCE Specialist Maths 3&4 Complete Course Notes (2024–2026)
A revision guide covering Specialist Mathematics concepts, formulas and worked examples, from proof to differential equations.
2024–2026 edition · Check suitability for your teaching year.
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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Building Thinking Classrooms in Mathematics, Grades K–12
Fourteen teaching practices for helping students engage in mathematical thinking.
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Calculus Made Easy
A classic introduction to differentiation and integration, using historical notation and examples.
College Algebra
Functions, equations and graphs as preparation for calculus.
College Trigonometry
Trigonometric functions, identities and applications.
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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Fermat’s Last Theorem
The history of a famous problem and the search for its proof.
A First Course in Linear Algebra
Systems of equations, matrices, vectors and linear transformations.
Flatland: A Romance of Many Dimensions
A mathematical story exploring dimensions through an imagined geometric world.
General Mathematics Teacher Resource Book
TI-Nspire CAS support for teaching and learning General Mathematics.
General Mathematics VCE Units 3&4
A course textbook for VCE General Mathematics.
Digital textbook access requires an account and activation.
How to Think Like a Mathematician
Logical thinking, definitions and proof for senior extension and the transition to university mathematics.
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.
Paid book · Publisher currently lists Australian hardback pre-orders.
ICE-EM Mathematics — Year 5 (Fourth edition)
A structured Year 5 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
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ICE-EM Mathematics — Year 6 (Fourth edition)
A structured Year 6 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
View paid editions at Cambridge ↗ · Print and digital options
ICE-EM Mathematics — Year 7 (Fourth edition)
A structured Year 7 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
View paid editions at Cambridge ↗ · Print and digital options
ICE-EM Mathematics — Year 8 (Fourth edition)
A structured Year 8 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
View paid editions at Cambridge ↗ · Print and digital options
ICE-EM Mathematics — Year 9 (Fourth edition)
A structured Year 9 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
View paid editions at Cambridge ↗ · Print and digital options
ICE-EM Mathematics — Year 10 & 10A (Fourth edition)
A structured Year 10 & 10A textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
View paid editions at Cambridge ↗ · Print and digital options
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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Introduction to Probability
Probability models, distributions and applications for advanced study.
Jacaranda Maths Quest 12 General Mathematics VCE Units 3&4 (7th edition)
A VCE General Mathematics textbook with worked examples, practice questions and learnON digital support.
Paid print and learnON package · Digital access has an expiry date.
Jacaranda Maths Quest 12 Mathematical Methods VCE Units 3&4 (3rd edition)
A VCE Mathematical Methods textbook covering functions, calculus and probability, with learnON digital support.
Paid print and learnON package · Digital access has an expiry date.
Jacaranda Maths Quest 12 Specialist Mathematics VCE Units 3&4 (2nd edition)
A VCE Specialist Mathematics textbook covering proof, complex numbers, vectors and advanced calculus, with learnON digital support.
Paid print and learnON package · Digital access has an expiry date.
The Joy of x
An accessible exploration of mathematical ideas and their connections to everyday life.
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Mathematical Methods Teacher Resource Book
TI-Nspire CAS support for teaching and learning Mathematical Methods.
Mathematical Methods VCE Units 3&4
A course textbook for VCE Mathematical Methods.
Digital textbook access requires an account and activation.
Mathematical Recreations and Essays
A historical collection of mathematical puzzles, recreations and essays.
Mathematics Tasks for the Thinking Classroom, Grades 6–12
Classroom tasks and guidance for secondary mathematics teaching.
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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OpenIntro Statistics
Data, probability and statistical inference for further study.
PDF optimised for screen readers.
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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Specialist Mathematics Teacher Resource Book
TI-Nspire CAS support for teaching and learning Specialist Mathematics.
Specialist Mathematics VCE Units 3&4
A course textbook for VCE Specialist Mathematics.
Digital textbook access requires an account and activation.
A Tangled Tale
Mathematical puzzles presented through short stories, with solutions.
Teach Like a Champion 2.0
62 practical teaching techniques covering classroom routines, checking understanding, participation and high expectations. The 2.0 edition selected for this library.
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Thinking Mathematically
Developing mathematical reasoning and problem-solving habits.
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