[C11T3] - Preface to ‘How the other half thinks: Adventures in mathematical reasoning’
Reading passage 3
You should spend about 20 minutes on questions 1 - 14 which are based on Reading Passage 3 below.
Preface to ‘How the other half thinks: Adventures in mathematical reasoning’
[C11T3] - Preface to ‘How the other half thinks: Adventures in mathematical reasoning’
Reading passage 3
You should spend about 20 minutes on questions 1 - 14 which are based on Reading Passage 3 below.
Preface to ‘How the other half thinks: Adventures in mathematical reasoning’
Preface to ‘How the other half thinks: Adventures in mathematical reasoning’
A. Occasionally, in some difficult musical compositions, there are beautiful, but easy parts – parts so simple a beginner could play them. So it is with mathematics
The thinking in each chapter uses at most only elementary arithmetic, and sometimes not even that. Thus all readers will have the chance to participate in a mathematical
B. One of my purposes in writing this book is to give readers who haven’t had the opportunity to see and enjoy real mathematics the chance to appreciate
In that respect, this book differs from most books on mathematics written for the general public. Some present the lives of colorful mathematicians. Others describe important applications
C. I hope this book will help bridge that notorious gap that separates the two cultures: the humanities and the sciences, or should I say the right brain (intuitive)
D. Other scientists have written books to explain their fields to non-scientists, but have necessarily had to omit the mathematics, although it provides the foundation of their theories.
E. Still, the non-mathematical reader can go far in understanding mathematical reasoning. This book presents the details that illustrate the mathematical style of thinking, which involves sustained,
F. As I wrote, I kept in mind two types of readers: those who enjoyed mathematics until they were turned off by an unpleasant episode, usually around fifth grade,
This book also serves readers who simply want to sharpen their analytical skills. Many careers, such as law and medicine, require extended, precise analysis. Each chapter offers
G. A physician wrote, ‘The discipline of analytical thought processes in mathematics prepared me extremely well for medical school. In medicine one is faced with a problem which
A lawyer made the same point, “Although I had no background in law – not even one political science course — I did well at one of the best
I hope you will share my delight in watching as simple, even naive, questions lead to remarkable solutions and purely theoretical discoveries find unanticipated applications.