Towards Higher Mathematics: A Companion

This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

Richard Earl (Author)

9781316614839, Cambridge University Press

Paperback / softback, published 7 September 2017

540 pages, 100 b/w illus. 1760 exercises
24.5 x 17.4 x 3 cm, 0.96 kg

'The biggest stumbling-block for many students about to go to university to study mathematics is not the lack of syllabus covered but the lethal attitude 'you don't need this for the exam'. This book will provide much of what they need … It is also a good resource for school and college departments looking for questions on FM material that will stretch their best learners.' Owen Toller, Mathematical Gazette

Containing a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university. The author covers substantial extension material using the language of sixth form mathematics, thus enabling students to understand the more complex material. Exercises are carefully chosen to introduce students to some central ideas, without building up large amounts of abstract technology. There are over 1500 carefully graded exercises, with hints included in the text, and solutions available online. Historical and contextual asides highlight each area of mathematics and show how it has developed over time.

Introduction
1. Complex numbers
2. Induction
3. Vectors and matrices
4. More on matrices
5. Techniques of integration
6. Differential equations
7. Hints to selected exercises
Bibliography
Index.

Subject Areas: Mathematics [PB]