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Advanced Problems in Mathematics: Preparing for University
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 ...
Advanced Problems in Core Mathematics
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.
Bridging the Gap to University Mathematics
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.
Further Pure Mathematics
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.
Landscapes of Investigation
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...
Partisan Politics, Divided Government, and the Economy
This book develops an integrated approach to understanding the American economy and national elections. Economic policy is generally seen as the result of a compromise between the President and Congress. Because Democrats and Republicans usually maintain polarized preferences on policy, middle-of-the-road voters seek to balance the President by reinforcing in Congress the party not holding the White House. This balancing leads, always, to relatively moderate policies and, frequently, to divided government. The authors first outline the rational partisan business cycle, where Republican administrations begin with recession, and Democratic administrations with expansions, and next the midterm cycle, where the President's party loses votes in the mid-term congressional election. The book argues that both cycles are the result of uncertainty about the outcome of presidential elections. Other topics covered include retrospective voting on the economy, coat-tails, and incumbency advantage. A final chapter shows how the analysis sheds light on the economies and political processes of other industrial democracies.
The Rise of the People’s Bank of China
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 Introduction to Pure Mathematics
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two...
Central Banking in the Twentieth Century
Central banks are powerful but poorly understood organisations. In 1900 the Bank of Japan was the only central bank to exist outside Europe but over the past century central banking has proliferated. John Singleton here explains how central banks and the profession of central banking have evolved and spread across the globe during this period. He shows that the central banking world has experienced two revolutions in thinking and practice, the first after the depression of the early 1930s, and the second in response to the high inflation of the 1970s and 1980s. In addition, the central banking profession has changed radically. In 1900 the professional central banker was a specialised type of banker, whereas today he or she must also be a sophisticated economist and a public official. Understanding these changes is essential to explaining the role of central banks during the recent global financial crisis.
Central Banks Into the Breach
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...
