Books for advanced study, extension and the transition to university mathematics.
Active Calculus — Multivariable
Vectors, multivariable functions, partial derivatives and multiple integrals for advanced study.
A First Course in Linear Algebra
Systems of equations, matrices, vectors and linear transformations.
Introduction to Probability
Probability models, distributions and applications for advanced study.
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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Calculus — Gilbert Strang
Updated 3rd edition hosted by MIT OpenCourseWare. Derivatives, integrals and applications, extending into multivariable calculus beyond the secondary curriculum.
Introduction to Probability (2nd edition)
A rigorous introduction to probability, random variables, distributions, conditioning and expectation. Uses calculus and extends beyond VCE; useful for teacher development and advanced extension.
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Harvard: accompanying lectures and exercises · 2nd edition ↗
Mathematics for Computer Science
Proof, induction, graphs, number theory, counting and probability for undergraduate computer science. Selected problems suit advanced secondary enrichment.
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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