Advanced Problems in Mathematics: Preparing for University

Advanced Problems in Mathematics: Preparing for University Stephen Siklos
Forthcoming in 2019

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 is recommended as a preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper.  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 readerís 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.

This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Please note that in this book the mathematical formulas are encoded in MathML. While reading the HTML version, you can right-click on any of the formulas to display the underlying code.

The DfE (Department for Education) has generously contributed towards the publication of this volume.

Advanced Problems in Mathematics: Preparing for University
Stephen Siklos | Forthcoming 2019
| colour | 8.26" x 11.69" (297 x 210 mm)
OBP Series in Mathematics, vol. 4 | ISSN: 2397-1126 (Print); 2397-1134 (Online)
ISBN Paperback: 9781783747764
ISBN Digital (PDF): 9781783747771
DOI: 10.11647/OBP.0181
BIC subject codes: PB (Mathematics) | YQM (Educational: Mathematics and numeracy) | PBK (Calculus and mathematical analysis) | PBM (Geometry) | PBT (Probability and statistics)

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Stephen Siklos lectured in the Faculty of Mathematics at Cambridge University.  His main area of research was Einsteinís 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 presided over the STEP examinations, used as a qualification for undergraduate admissions by some of the top UK university mathematics departments, for over thirty years.