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Towards Higher Mathematics: A Companion

  • Date Published: September 2017
  • availability: Available
  • format: Paperback
  • isbn: 9781316614839

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About the Authors
  • 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.

    • Contains substantial, carefully graded problem sets, with hints included in the text and solutions available online
    • Avoids abstract language, meaning the content is accessible to sixth form students
    • Includes numerous proofs which is an aspect largely absent from sixth form maths
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    Reviews & endorsements

    'The text is quite reader friendly, with over 1,500 graded exercises (most with hints) presented throughout the text, not just at the ends of sections or chapters. As a result, readers are encouraged and motivated to take the time and make the effort to understand each concept as they proceed. Earl exerts a positive influence on beginning students as they decide whether to pursue a degree in mathematics. Perhaps best of all, students get a glimpse of the breadth of areas they can pursue within the mathematics realm - even at the early stages of their study. Summing Up: Recommended.' J. T. Zerger, Choice

    '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

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    Product details

    • Date Published: September 2017
    • format: Paperback
    • isbn: 9781316614839
    • length: 540 pages
    • dimensions: 245 x 174 x 30 mm
    • weight: 0.96kg
    • contains: 100 b/w illus. 1760 exercises
    • availability: Available
  • Table of Contents

    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.

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    Towards Higher Mathematics: A Companion

    Richard Earl

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  • Author

    Richard Earl, University of Oxford
    Richard Earl is currently Director of Undergraduate Studies in the Mathematical Institute, University of Oxford, and a Tutor in Mathematics at Worcester College. From 2003–13, he was Admissions Coordinator and Schools Liaison Officer in the department and has over a decade's experience setting the MAT (Oxford's Mathematics Admissions Test). He has won several teaching awards within the University for his teaching and lecturing. This book grew out of a residential week he ran for several years in Oxford for new students who had not had the chance to study Further Mathematics at A-Level.

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