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Discovering Advanced Mathematics - Mechanics [Paperback]

Ted Graham


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Book Description

7 July 1995 0003223728 978-0003223729
"Discovering Advanced Mathematics" is a series of four books designed to match the new generation of A and AS Level maths syllabuses and satisfy the requirements of the SCAA Common Core for Mathematics. This text interprets A Level topics through new contexts, applications and modelling techniques. The book provides chapter introductions, chapter summaries, investigations and practicals, exercises and examination questions.


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Product Description

From the Back Cover

'Discovering Advanced Mathematics' is a series of four books designed to match the new generation of A- and AS-level maths syllabuses and satisfy the requirements of the SCAA Common Core for Mathematics. The books provide unparalleled support for developing modelling and problem-solving skills.

• real opportunities to study advanced mathematics through stimulating and original contexts, questions and modelling tasks
• use of new technology is encouraged throughout – graphics calculators and spreadsheets, for example – but tasks are accessible to students with the most basic of A-level calculators
• accessible to all of your students because of careful introduction of major concepts and language level

'Mechanics' Ted Graham

New contexts, applications and modelling techniques: balancing birds to designing
a cycle track; building a baby's cradle to bungee jumping. mechanics interprets
A-level topics through new contexts, applications and modelling techniques.

"I particularly like the range of modern applications involved in the book…this is a first class mechanics textbook…"
PRINCIPAL LECTURER IN MATHEMATICS, University of Hertfordshire

Ted Graham is a Senior Examiner for the AEB Mechanics. He is a Senior Lecturer at the School of Mathematics and Statistics, University of Plymouth and a member of the Centre for Teaching Mathematics.

Content Summary

• Mechanics and the real world
• Force

• Vectors and forces
• Kinematics in one dimension
• Motion and vectors
• Newton's first and second laws

• Variable forces and acceleration
• Projectiles
• Momentum and collisions
• Energy, work and power

• Energy and work: variable forces and scalar products
• Circular motion

• Circular motion with variable speed
• Simple harmonic motion

• Dimensions and dimensional analysis
• Moments, couples and equilibrium

• Centre of mass

• Conditions for sliding and toppling

• Frameworks
• Differential equations in mechanics

• Relative motion


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