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This book 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 as the basis for conditional offers. They are also used by Warwick University, and many other 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 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 recent STEP questions selected to ...
This booklet is intended to help you to prepare for STEP examinations. It should also be useful aspreparation for any undergraduate mathematics course, even if you do not plan to take STEP.The questions are all based on recent STEP questions. I chosethe questions either because they are'nice' - in the sense that you should get a lot of pleasure fromtackling them - or because I felt Ihad something interesting to say about them. In this booklet, I have restricted myself (reluctantly)to the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions.This material should be familiar to you if you are taking the International Baccalaureate, ScottishAdvanced Highers or other similar courses.
Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.
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. 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.
'The Oxford Handbook of Aesthetics' has assembled 48 brand-new essays, making this a comprehensive guide available to the theory, application, history, and future of the field.
With $4.5 trillion in total assets, the People’s Bank of China now surpasses the U.S. Federal Reserve as the world’s biggest central bank. The Rise of the People’s Bank of China investigates how this increasingly authoritative institution grew from a Leninist party-state that once jealously guarded control of banking and macroeconomic policy. Relying on interviews with key players, this book is the first comprehensive and up-to-date account of the evolution of the central banking and monetary policy system in reform China. Stephen Bell and Hui Feng trace the bank’s ascent to Beijing’s policy circle, and explore the political and institutional dynamics behind its rise. In the early ...
A concise, interactive guide to the calculus and linear algebra needed for economics and finance, with extensive examples and exercises.
This volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level.
Central banks play an important role in the course of national economies and the global economy. Their leaders are regularly feted or vilified, their policy pronouncements highly anticipated and routinely scrutinized. This is all the more so since the global financial crisis. The past fifteen years in monetary policy is essentially the story of two mistakes and one triumph, argues Pierre L. Siklos, a professor of economics at Wilfrid Laurier University. One mistake was that central bankers underestimated the connection between finance and the real economy. The other was a failure to realize how inter-connected the world's financial system had become. The triumph, in turn, was the recognition...
Creating landscapes of investigation is a primary concern of critical mathematics education. It enables us to organise educational processes so that students and teachers are able to get involved in explorations guided by dialogical interactions. It attempts to address explicit or implicit forms of social injustice by means of mathematics, and also to promote a critical conception of mathematics, challenging the assumption that the subject represents objectivity and neutrality. Landscapes of Investigation provides many illustrations of how this can be done in primary, secondary, and university education. It also illustrates how exploring landscapes of investigation can contribute to mathemat...