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Advanced Problems in Mathematics: Preparing for University

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Stephen Siklos, Cambridge University

Copyright Year: 2016

ISBN 13: 9781783741441

Publisher: Open Book Publishers

Language: English

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Table of Contents

  • STEP
  • Worked Problems
  • Problems
  • Syllabus

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  • About the Book

    This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.
    Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.

    About the Contributors


    Stephen Siklos lectures in the Faculty of Mathematics at Cambridge University. His main area of research is Einstein's theory of General Relativity. For many years, Dr. Siklos was the Admissions Officer for the Faculty of Mathematics, dealing with issues at the interface of school and university mathematics. He has presided over the STEP examinations, used as a qualification for undergraduate admissions by some of the top British university mathematics departments, for thirty years. Dr. Siklos lives in Cambridge with his partner, who is a geologist, and their two children. He very much likes playing tennis, listening to music and reading old examination papers.

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