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Understanding Proof

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Understanding Proof
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Explanation, Examples and Solutions for A-Level Mathematics and A-Level Further Mathematics

Edited by Dr Tom Bennison and Dr Edward Hall

See inside this title - contents, and some sample pages are included HERE

Proof is central to the new unified A-Level curriculum and to Further Maths and indeed, all mathematical thinking. As such the Tarquin A-Level materials have been developed with proof as the core theme. Now we are delighted to enhance the core texts with a guide to proof for students… and for their teachers too. Content from the core text has been significantly revised and updated and supplemented with new content.
1. Introduction to proof
2. Exploring Methods of Proof
3. Mathematical Language
4. Direct Proof
5. Indirect Proof
6. Proof by Induction
7. Proof and Applications of Pythagoras’ Theorem
8. Proof in Calculus
9. Proving Trigonometric Identities
10. Proof in Statistics and Probability
11. Worked Solutions
Expertly written and edited by Tom Bennison and Ed Hall, this book is an essential teaching, learning and revision guide, with a free online version available to all purchasers for a year.

Dr Tom Bennison: following completion of a  PhD in Applied Mathematics, Tom Bennison is pursuing a career in teaching and is now the Level 3 Lead for the East Midlands West MathsHub. With experience of teaching undergraduates, postgraduates and school students he is keen to support other teachers deliver A-Level Mathematics. He views the introduction of the new syllabus as an opportunity to expose students to mathematics; not just past exam questions. He is a proponent of technology in the classroom and advocates the use of interactive activities alongside the more traditional exercises to develop understanding and intuition amongst students.

Dr Edward Hall is currently a mathematics lecturer at the University of Leicester. He has four years of lecturing experience, teaching both undergraduate and postgraduate mathematics and engineering students. As somebody who has worked both within mathematics and engineering departments and closely with industrial collaborators, he is well placed to understand what Universities are looking for from those applying to study STEM subjects. He hopes this textbook will enable students to approach the new unified A-Level syllabus with confidence and inspire them to further their mathematical studies at university.