This Student Book provides full support for both AQA's new linear AS Level Further Maths specification, and for the first year of the full A Level course. Covering both the compulsory content (further pure) and all the optional content (mechanics, statistics and discrete maths), each chapter starts with an Orientation box, clarifying which A Level Maths topics are being built on, and what learning objectives will be covered. Each chapter section starts with a clear and concise explanation of the maths, with an emphasis on visual presentation. Abundant worked examples show how key techniques can be used and common pitfalls to avoid. Separate exercises allow students to practise first their fluency and skills, and then the new exam-style problem-solving and modelling questions. The problem-solving is supported by Strategy boxes, which provide guidance on how best to approach these questions. Answers are given in the back of the book, while full step-by-step solutions to every single question can be found online. This Student Book provides a complete course for AS Level Further Maths and is the ideal way for a student to become a mathematician.