Answer for “Preface to ‘how the other half thinks: Adventures in mathematical reasoning’ with explanations

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Answers Keywords Location Explanation
27. D lack of mathematical knowledge P D, L 1-3 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.

  • lack of mathematical knowledge= omit mathematics
28. B not a typical book, mathematics PB, L 3-6 I want  to  reveal  not  only some  of  the  fascinating  discoveries, but,  more  importantly,  the  reasoning behind  them.  In  that  respect,  this  book  differs  from  most  books  on mathematics written for the general public.

  • not a typical book= differs from most books
29. G personal examples, helped P G, the  writer  mentions  two  personal  examples:  the  example  of  a  physician  and  the example of a lawyer both of whom were helped by mathematics.
30. C examples, abilities, incompatible PC, L 6 To illustrate our human potential, I cite a structural engineer who is  an  artist,  an  electrical  engineer  who  is  an  opera  singer,  an  opera  singer  who  published  mathematical research, and a mathematician who publishes short stories.

  • examples= illustrate
  • abilities= potential
31. B different focuses, books PB, L6- 8 Some present the lives of colorful mathematicians. Others  describe  important  applications  of  mathematics.  Yet  others  go  into  mathematical  procedures, but assume that the reader is adept in using algebra.

  • go into= focus
32. E contrast PE, L 2 This book presents details that illustrate the mathematical style of thinking,  which  involves  sustained,  step-by-step  analysis,  experiments,  and  insights.  You  will  turn  these pages much more slowly than when reading a novel or a newspaper.

  • You  will  turn  these pages much more slowly than when reading a novel or a newspaper= difference in this book and others
33. A accessible to everybody P 1, L 4 Instead,  they  may involve, at most, a little arithmetic, such as them sum of two odd numbers is even, common sense. Each of the eight chapters in this book illustrates this phenomenon. Anyone can understand every step in the reasoning.

  • the whole of the book= each of the eight chapters
34. F  intended readers PF, L1-4 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,  and mathematics  aficionados,  who  will  find  much  that  is  new  throughout  the  book.  This  book  also  serves readers who simply want to sharpen their analytical skills.

  • categories=types
  • kept in mind two types of readers= intended readers
35. beginner music and mathematics, suitable P A, L 1-2 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 as well.

  • areas=parts
36. arithmetic advanced mathematics, limited knowledge PA, L 3-4 There are some discoveries in advanced mathematics that do not depend on specialized knowledge, not even on algebra, geometry, or trigonometry. Instead, they may involve, at most, a little arithmetic, such as the sum of two odd numbers is even, and common sense.

  • limited knowledge of arithmetic= a little arithmetic
37. intuitive mathematics requires, analytical paragraph C, L3-6 As the chapters will illustrate, mathematics is not restricted to the analytical  and  numerical;  intuition  plays  a  significant  role.  So,  besides  analytical  skills,  mathematics requires intuition, or intuitive thinking.

  • intuitive thinking=intuition
38. scientists written by, leave out, theories P D, L1 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.

  • leave out=omit
  • is central to= provides the foundation of
39. experiments non-mathematical readers, perform P E, L1 Still, non-mathematical readers can go far in understanding mathematical reasoning……. It may help to have a pencil and a paper ready to check claims and carry out experiments.

  • perform=carry out
40. theorems lawyer, studying, helped, law PG, L5 Although I had no background in law – not even one political science course – I did well at one of the best law schools. I attribute much of my success there to having learned,  through  the  study  of  mathematics,  and,  in  particular,  theorems,  how  to  analyze  complicated principles

Answer for “Preface to ‘how the other half thinks: Adventures in mathematical reasoning’ with explanations

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